text:
\section{Introduction}
   \label{s:intro}

\begin{comment}
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A mixed doubles tournament is a set of games or matches between two teams,
where each team consists of one male and one female player, as in mixed doubles tennis.
We are concerned here with the situation in which the teams are not fixed,
but vary throughout the tournament, unlike, say, the usual arrangement in a bridge
tournament, where the same two players form a team in every match they play.
Also we impose round robin properties on the tournament structure. These properties specify
the number of times players oppose, and the number of times players of the opposite sex partner.
The best-known type of a mixed doubles tournament in which partners are not fixed is the
spouse-avoiding mixed doubles round robin tournament.

A spouse-avoiding mixed doubles round robin tournament, \\ SAMDRR$(n)$, is a schedule of
mixed doubles games for $n$ husband and wife couples. The tournament is structured so that
spouses never play in a match together as partners or opponents. However, every man
and woman who are not spouses are partners exactly once and opponents exactly once,
and every pair of players of the same sex are opponents exactly once.
Brayton, Coppersmith, and Hoffman~\cite{BCH1, BCH2} defined these tournaments in 1973 and
showed that a SAMDRR$(n)$ exists for all $n$ except $2$, $3,$ and $6$.
A SAMDRR$(n)$ is resolvable if the games can be arranged in rounds so that: if $n$ is even, each player plays in every round; and if $n$ is odd, each player
except one husband and wife plays in every round. It follows that for $n$ odd, every player has exactly one bye, i.e., round they sit out.
The total number of games is $n(n-1)/2$.
The existence of a resolvable SAMDRR$(n)$ is equivalent to the existence of a self-orthogonal latin square of
order $n$ with a symmetric orthogonal mate (SOLSSOM) (see \cite{IA1, FIN}).

Recently, a new class of mixed doubles tournaments with round robin properties has been introduced and studied by
Berman and Smith~\cite{BS1, BS2}. They are called strict Mitchell mixed doubles round robin tournaments (strict MMDRR) and
were motivated by an article of Anderson~\cite{IA2} who describes a problem of Mitchell~\cite{M} from
the late nineteenth century.

\begin{Definition}
\label{strict} A strict Mitchell mixed doubles round robin tournament \\
(strict MMDRR$(n)$) is a schedule of mixed doubles games for $n$ men and $n$
women in which every man and woman partner exactly once and oppose exactly once.
Every pair of players of the same sex oppose at least once.
\end{Definition}

Note first that since every player appears in $n$ games, every player must oppose one player of the same sex exactly twice.
Also, the number of games in a strict MMDRR$(n)$ is ${n^2}/2$. It follows that this tournament structure can be considered only
when $n$ is even. Berman and Smith~\cite{BS1} give examples of strict MMDRR$(n)$ for
$n = 2, 4, 6, 10, 14$, prove a product theorem, and show strict MMDRR$(n)$ exist for $n = 16k$  for $k\ge1$ and
$n=16k+4$ for $k\ge3$.

In this paper we introduce a new type of tournament called a complete mixed doubles round robin tournament that generalizes
both SAMDRRs and strict MMDRRs.

\begin{Definition}\label{CCMDRR} A complete mixed doubles round robin tournament \\
(CMDRR$(n, k)$) is a schedule of mixed doubles games for $n$ men and $n$
women of which $k$ men and $k$ women are spouses. Spouses never play in a match together as partners or opponents.  However, every man
and woman who are not spouses are partners exactly once and opponents exactly once. Each player
who has a spouse opposes every same sex player exactly once. Each player who does not have a spouse opposes
some other same sex player who does not have a spouse exactly twice and opposes all other same sex players exactly once.
\end{Definition}

By definition every CMDRR$(n, 0)$ is a strict MMDRR$(n)$ and every CMDRR$(n, n)$ is a SAMDRR$(n)$.
For odd $n$, CMDRR$(n, 1)$ is the closest that it is possible to come to the non-existent strict MMDRR$(n)$. The number of games in a
CMDRR$(n, k)$ is $({n^2}-k)/2$. Players who do not have spouses are paired by repeated opposition so  $n-k$ must be even.
We represent a CMDRR$(n, k)$ as a square matrix of order $n$ with males as row indices and females as column indices.
The entry in position (M$i$, F$j$) is the pair (M$x$, F$y$) if and only if the game
M$i$, F$j$ v M$x$, F$y$ is in the tournament. Each game contributes two entries, i.e., the entry in position (M$x$, F$y$) is the pair (M$i$, F$j$).
If the CMDRR is a SAMDRR then this representation is different than the standard representation. In the standard representation, a SAMDRR$(n)$ corresponds
to a SOLS$(n)$ with males as both row and column indices and females as entries. There is a game M$i$, F$x$ v M$j$, F$y$ if and only if the entry in position
($i$, $j$) is $x$ and the entry in position ($j$, $i$) is $y$. This standard representation cannot be used for a CMDRR because of repeated opposition of
same sex players.

\begin{Example}\label{C31}  A CMDRR$(3, 1)$
\\[.05in]
\begin{tabular}{c|ccc}
    & F1   & F2   & F3  \\
\cline{1-4}
M1  &      & M2F3 & M3F2  \\
M2  & M3F3 & M3F1 & M1F2  \\
M3  & M2F2 & M1F3 & M2F1  \\
\end{tabular}
\end{Example}

From row $1$ we see that M$1$ opposes M$2$, M$3$, F$3$, F$2$, and partners F$2$, F$3$.
From row $2$ we see that M$2$ opposes M$3$ twice and M$1$ once, opposes F$3$, F$1$, F$2$, and partners F$1$, F$2$, F$3$.
From row $3$ we see that M$3$ opposes M$2$ twice and M$1$ once, opposes F$2$, F$3$, F$1$, and partners F$1$, F$2$, F$3$.
From the columns we see similar information about each female. The hole at position (M$1$, F$1$) indicates
that these two players are spouses. Thus, it is easy to check that the conditions for a CMDRR$(3, 1)$
are satisfied.  In future examples we will suppress the row and column headers and also the M and F in each entry.

We next discuss resolvability for CMDRR$(n, k)$. The games must be partitioned into rounds so that each player plays in at most one game per round.
We will call a round \textit{full} if it involves all players if $n$ is even,
and all but $2$ players if $n$ is odd. A round that is not full is called \textit{short}. A CMDRR$(n, k)$ is called \textit{fully resolvable} if the
games can be partitioned into rounds with at most one short round.
The round structure is specified by a matrix of order $n$, with entries from the set \{1, \ldots, r\}, where $r$ is the number of rounds,
and each entry appears at most one time in each row and column. The entry in cell $(i, j)$ is the round in which the game partnering M$i$ and F$j$ is played
for non-spouses, or empty for spouses.

\begin{Example}\label{C31b}  Resolution for the CMDRR$(3, 1)$ of Example~\ref{C31} into $4$ full rounds.
\\[.05in]
\begin{tabular}{|ccc|}
\cline{1-3}
  & 1 & 2 \\
3 & 4 & 1 \\
4 & 2 & 3 \\
\cline{1-3}
\end{tabular}
\hspace{0.5 in}
\begin{tabular}{ccc}
round & game & byes \\
\cline{1-3}
1 & M1F2 v M2F3 & M3, F1 \\
2 & M1F3 v M3F2 & M2, F1 \\
3 & M2F1 v M3F3 & M1, F2 \\
4 & M2F2 v M3F1 & M1, F3 \\
\cline{1-3}
\end{tabular}
\end{Example}

Unfortunately, full resolvability is usually hard or impossible to come by. Alternatively we will settle for
a partition of the games into all short rounds, all but one of equal length. Notice that every non-spouse player will have the same number of byes (say b),
and every spouse player will have $b+1$ byes. Ideally each of the equal length short rounds should have the greatest possible number of players.

   \section{Examples}

In this section we give examples of CMDRR$(n, k)$ for $n \le 8$, and also of a CMDRR$(9, 3)$ and a CMDRR$(10, 2)$. Examples of
SAMDRR$(n)$ can be found in~\cite{IA1}. Most of the examples were found using an Embarcadero Delphi XE program, available from the second author.
The program fixes the partnerships and then exchanges them between games in a tabu search algorithm that seeks to optimize the
opposition pairs incidence matrix (see~\cite{Mor}). The examples will be used in the next section as the basis of our recursive construction.
A more extensive list of examples is available from the authors.

The strict MMDRR$(2)$, CMDRR$(3, 1)$, and SAMDRR$(n)$ for $n=4,5,7,$ and $8$ are fully resolvable. It is easy to check by hand that the strict MMDRR$(4)$ and the CMDRR$(5,1)$ are not fully resolvable. A computer search shows that the other examples are not fully resolvable.
A non-trivial resolution into short rounds is given when known.
In the next section we will give general results on resolvability.

\subsection{Tournaments with 4 players}

A SAMDRR$(2)$ does not exist.

\begin{Example}\label{C20}  A strict MMDRR$(2)$ with repeat oppositions M$1$M$2$ and \\ F$1$F$2$.
\\[.05in]
\begin{tabular}{|cc|}
\cline{1-2}
22 & 21  \\
12 & 11  \\
\cline{1-2}
\end{tabular}
\end{Example}

\subsection{Tournaments with 6 players}

A CMDRR$(3, 1)$ was given in Example~\ref{C31}. A SAMDRR$(3)$ does not exist.

\subsection{Tournaments with 8 players}

A SAMDRR$(4)$ exists. A CMDRR$(4, 2)$ does not exist.

\begin{Example}\label{C40}  A strict MMDRR$(4)$ with repeat oppositions M$1$M$2$, M$3$M$4$, \\ F$1$F$2$, and F$3$F$4$.
\\[.05in]
\begin{tabular}{|cccc|}
\cline{1-4}
24 & 41 & 22 & 33 \\
32 & 13 & 44 & 11 \\
43 & 21 & 14 & 42 \\
12 & 34 & 31 & 23 \\
\cline{1-4}
\end{tabular}
\end{Example}

\subsection{Tournaments with 10 players}

A SAMDRR$(5)$ exists.

\begin{Example}\label{C51}  A CMDRR$(5, 1)$ with spouse pair M$1$F$1$ and repeat oppositions
M$2$M$3$, M$4$M$5$, F$2$F$3$, and F$4$F$5$.
\\[.05in]
\begin{tabular}{|ccccc|}
\cline{1-5}
   & 55 & 22 & 43 & 34 \\
54 & 13 & 32 & 35 & 41 \\
42 & 23 & 51 & 15 & 24 \\
25 & 31 & 14 & 52 & 53 \\
33 & 44 & 45 & 21 & 12 \\
\cline{1-5}
\end{tabular}
\end{Example}

\begin{Conjecture} A CMDRR$(5, 3)$ does not exist.
\end{Conjecture}

\subsection{Tournaments with 12 players}

A SAMDRR$(6)$ does not exist.

\newpage
\begin{Example}\label{C60}  A strict MMDRR$(6)$ with repeat oppositions M$1$M$2$, M$3$M$4$, \\ M$5$M$6$,
F$1$F$2$, F$3$F$4$, and F$5$F$6$.
\\[.05in]
\begin{tabular}{|cccccc|}
\cline{1-6}
55 & 63 & 24 & 42 & 26 & 31 \\
44 & 36 & 61 & 13 & 52 & 15 \\
16 & 41 & 45 & 53 & 64 & 22 \\
32 & 14 & 56 & 21 & 33 & 65 \\
62 & 25 & 34 & 66 & 11 & 43 \\
23 & 51 & 12 & 35 & 46 & 54 \\
\cline{1-6}
\end{tabular}
\\[.05in]
Resolution with short rounds $1$-$9$. Each round has $2$ games and each player has $3$ byes.
\\[.05in]
\begin{tabular}{|cccccc|}
\cline{1-6}
8 & 1 & 6 & 7 & 5 & 3 \\
1 & 8 & 7 & 6 & 3 & 5 \\
3 & 6 & 9 & 2 & 4 & 8 \\
6 & 7 & 4 & 1 & 9 & 2 \\
5 & 3 & 2 & 9 & 8 & 4 \\
7 & 5 & 1 & 4 & 2 & 9 \\
\cline{1-6}
\end{tabular}
\end{Example}

\begin{Conjecture} A CMDRR$(6, 2)$ does not exist.
\end{Conjecture}

\begin{Example}\label{C64}  A CMDRR$(6, 4)$ with spouse pairs M$1$F$1$, M$2$F$2$, M$3$F$3$, and M$4$F$4$,
and repeat oppositions M$5$M$6$ and F$5$F$6$.
\\[.05in]
\begin{tabular}{|cccccc|}
\cline{1-6}
   & 34 & 52 & 66 & 43 & 25 \\
54 &    & 41 & 35 & 16 & 63 \\
46 & 61 &    & 12 & 24 & 55 \\
23 & 56 & 15 &    & 62 & 31 \\
65 & 13 & 64 & 21 & 36 & 42 \\
32 & 45 & 26 & 53 & 51 & 14 \\
\cline{1-6}
\end{tabular}
\end{Example}

\subsection{Tournaments with 14 players}

A SAMDRR$(7)$ exists.

\begin{Example}\label{C71}   A CMDRR$(7, 1)$ with spouse pair M$1$F$1$ and repeat oppositions
M$2$M$3$, M$4$M$5$, M$6$M$7$, F$2$F$3$, F$4$F$5$, and F$6$F$7$.
\\[.05in]
\begin{tabular}{|ccccccc|}
\cline{1-7}
   & 75 & 32 & 43 & 64 & 27 & 56 \\
53 & 31 & 65 & 37 & 74 & 42 & 16 \\
22 & 13 & 77 & 66 & 41 & 55 & 24 \\
35 & 26 & 14 & 51 & 57 & 73 & 62 \\
44 & 63 & 21 & 72 & 36 & 17 & 45 \\
76 & 47 & 52 & 15 & 23 & 34 & 71 \\
67 & 54 & 46 & 25 & 12 & 61 & 33 \\
\cline{1-7}
\end{tabular}
\\[.05in]
\newpage\noindent
Resolution with short rounds $1-12$. Each round has $2$ games, each player
except M$1$ and F$1$ has $5$ byes, and each of M$1$ and F$1$ have $6$ byes.
\\[.05in]
\begin{tabular}{|ccccccc|}
\cline{1-7}
  & 8 & 9 & 2 & 5 & 6 & 3 \\
7 & 2 & 3 & 12 & 1 & 10 & 4 \\
2 & 9 & 10 & 8 & 11 & 4 & 12 \\
11 & 10 & 2 & 6 & 9 & 5 & 7 \\
6 & 1 & 7 & 11 & 4 & 3 & 9 \\
12 & 7 & 1 & 5 & 3 & 8 & 4 \\
4 & 11 & 5 & 1 & 8 & 12 & 10 \\
\cline{1-7}
\end{tabular}
\end{Example}

\begin{Example}\label{C73}   A CMDRR$(7, 3)$ with spouse pairs M$1$F$1$, M$2$F$2$, and M$3$F$3$,
and repeat oppositions M$4$M$5$, M$6$M$7$, F$4$F$5$, and F$6$F$7$.
\\[.05in]
\begin{tabular}{|ccccccc|}
\cline{1-7}
   & 55 & 62 & 26 & 43 & 37 & 74 \\
57 &    & 41 & 73 & 36 & 14 & 65 \\
64 & 47 &    & 52 & 71 & 25 & 16 \\
23 & 76 & 15 & 67 & 54 & 51 & 32 \\
46 & 34 & 77 & 45 & 12 & 63 & 21 \\
72 & 13 & 56 & 31 & 27 & 75 & 44 \\
35 & 61 & 24 & 17 & 66 & 42 & 53 \\
\cline{1-7}
\end{tabular}
\end{Example}

\begin{Example}\label{C75}   A CMDRR$(7, 5)$ with spouse pairs M$1$F$1$, M$2$F$2$, M$3$F$3$,
M$4$F$4$, and M$5$F$5$, and repeat oppositions M$6$M$7$ and F$6$F$7$.
\\[.05in]
\begin{tabular}{|ccccccc|}
\cline{1-7}
   & 54 & 42 & 35 & 66 & 27 & 73 \\
45 &    & 61 & 53 & 37 & 74 & 16 \\
52 & 76 &    & 67 & 14 & 41 & 25 \\
36 & 13 & 75 &    & 21 & 57 & 62 \\
77 & 31 & 24 & 12 &    & 63 & 46 \\
23 & 47 & 56 & 71 & 72 & 15 & 34 \\
64 & 65 & 17 & 26 & 43 & 32 & 51 \\
\cline{1-7}
\end{tabular}
\end{Example}

\subsection{Tournaments with 16 players}

A SAMDRR$(8)$ exists.

\begin{Example}\label{C80}   A strict MMDRR$(8)$ with repeat oppositions
M$1$M$2$, \\ M$3$M$4$, M$5$M$6$, M$7$M$8$, F$1$F$2$, F$3$F$4$, F$5$F$6$, and F$7$F$8$.
\\[.05in]
\begin{tabular}{|cccccccc|}
\cline{1-8}
84 & 45 & 52 & 26 & 67 & 73 & 38 & 21 \\
18 & 37 & 65 & 42 & 76 & 14 & 51 & 83 \\
63 & 71 & 44 & 85 & 56 & 48 & 22 & 17 \\
55 & 24 & 87 & 33 & 12 & 61 & 78 & 36 \\
27 & 13 & 74 & 68 & 41 & 35 & 86 & 62 \\
46 & 58 & 31 & 77 & 23 & 82 & 15 & 54 \\
32 & 81 & 16 & 53 & 88 & 25 & 64 & 47 \\
72 & 66 & 28 & 11 & 34 & 57 & 43 & 75\\
\cline{1-8}
\end{tabular}
\\[.05in]
Resolution with short rounds $1-10$, each with $3$ games,  and short round $11$ with $2$ games.
Each player has $3$ byes.
\\[.05in]
\begin{tabular}{|cccccccc|}
\cline{1-8}
7 & 9 & 8 & 11 & 3 & 10 & 4 & 2 \\
2 & 10 & 1 & 6 & 7 & 11 & 5 & 9 \\
6 & 1 & 5 & 8 & 2 & 3 & 10 & 4 \\
11 & 6 & 2 & 5 & 9 & 4 & 8 & 3 \\
5 & 8 & 4 & 10 & 11 & 2 & 1 & 7 \\
4 & 7 & 6 & 1 & 9 & 5 & 3 & 10 \\
1 & 3 & 10 & 4 & 6 & 7 & 9 & 8 \\
3 & 5 & 9 & 7 & 8 & 1 & 2 & 6\\
\cline{1-8}
\end{tabular}
\end{Example}

\begin{Example}\label{C82}  A CMDRR$(8, 2)$ with spouse pairs M$1$F$1$ and M$2$F$2$, and repeat oppositions
M$3$M$8$, M$4$M$5$, M$6$M$7$, F$3$F$7$, F$4$F$8$, and F$5$F$6$.
\\[.05in]
\begin{tabular}{|cccccccc|}
\cline{1-8}
   & 65 & 87 & 38 & 74 & 23 & 56 & 42 \\
75 &    & 16 & 47 & 58 & 64 & 81 & 33 \\
46 & 83 & 28 & 51 & 67 & 85 & 72 & 14 \\
62 & 18 & 55 & 73 & 86 & 31 & 24 & 57 \\
34 & 76 & 61 & 82 & 43 & 17 & 48 & 25 \\
53 & 41 & 77 & 26 & 12 & 78 & 35 & 84 \\
88 & 37 & 44 & 15 & 21 & 52 & 63 & 66 \\
27 & 54 & 32 & 68 & 36 & 45 & 13 & 71\\
\cline{1-8}
\end{tabular}

\end{Example}

\begin{Example}\label{C84}  A CMDRR$(8, 4)$ with spouse pairs M$1$F$1$, M$2$F$2$,
M$3$F$3$ and M$4$F$4$ and repeat oppositions
M$5$M$7$, M$6$M$8$, F$5$F$7$, and F$6$F$8$.
\\[.05in]
\begin{tabular}{|cccccccc|}
\cline{1-8}
   & 58 & 42 & 83 & 66 & 34 & 25 & 77 \\
73 &    & 55 & 61 & 17 & 48 & 36 & 84 \\
88 & 64 &    & 16 & 72 & 27 & 51 & 45 \\
52 & 13 & 67 &    & 38 & 71 & 85 & 26 \\
37 & 41 & 86 & 75 & 23 & 68 & 74 & 12 \\
24 & 87 & 78 & 32 & 81 & 15 & 43 & 56 \\
46 & 35 & 21 & 57 & 54 & 82 & 18 & 63 \\
65 & 76 & 14 & 28 & 47 & 53 & 62 & 31\\
\cline{1-8}
\end{tabular}
\end{Example}

\begin{Example}\label{C86}  A CMDRR$(8, 6)$ with spouse pairs M$1$F$1$, M$2$F$2$,
M$3$F$3$, M$4$F$4$, M$5$F$5$, and M$6$F$6$, and repeat oppositions
M$7$M$8$  and F$7$F$8$.
\\[.05in]
\begin{tabular}{|cccccccc|}
\cline{1-8}
   & 64 & 56 & 38 & 47 & 72 & 83 & 25 \\
43 &    & 74 & 86 & 18 & 35 & 61 & 57 \\
68 & 75 &    & 51 & 26 & 87 & 42 & 14 \\
76 & 37 & 21 &    & 63 & 58 & 15 & 82 \\
34 & 81 & 62 & 77 &    & 13 & 28 & 46 \\
27 & 53 & 45 & 12 & 84 &    & 78 & 31 \\
85 & 16 & 88 & 23 & 32 & 41 & 54 & 67 \\
52 & 48 & 17 & 65 & 71 & 24 & 36 & 73\\
\cline{1-8}
\end{tabular}
\end{Example}

\subsection{Tournaments with more than 16 players}

\begin{Example}\label{C93}  A CMDRR$(9, 3)$ with spouse pairs M$1$F$1$, M$2$F$2$, and\\
M$3$F$3$, and repeat oppositions M$4$M$5$, F$4$F$5$, M$6$M$7$, F$6$F$7$, M$8$M$9$, and F$8$F$9$.
\\[.05in]
\begin{tabular}{|ccccccccc|}
\cline{1-9}
   & 47 & 29 & 66 & 53 & 82 & 38 & 75 & 94 \\
77 &    & 68 & 35 & 46 & 91 & 54 & 89 & 13 \\
95 & 61 &    & 52 & 24 & 78 & 49 & 17 & 86 \\
63 & 58 & 56 & 81 & 74 & 25 & 12 & 99 & 37 \\
88 & 34 & 15 & 27 & 69 & 43 & 96 & 42 & 71 \\
32 & 79 & 41 & 98 & 87 & 14 & 76 & 23 & 55 \\
59 & 93 & 84 & 45 & 18 & 67 & 21 & 36 & 62 \\
44 & 16 & 97 & 73 & 92 & 39 & 65 & 51 & 28 \\
26 & 85 & 72 & 19 & 31 & 57 & 83 & 64 & 48 \\
\cline{1-9}
\end{tabular}
\\[.05in]
Resolution with short rounds $1-13$, each with $3$ games.
\\[.05in]
\begin{tabular}{|ccccccccc|}
\cline{1-9}
   & 3  & 4  & 9  & 2  & 12 & 1  & 11 & 13 \\
6  &    & 3  & 12 & 5  & 2  & 7  & 10 & 4  \\
10 & 5  &    & 11 & 12 & 8  & 2  & 1  & 6  \\
7  & 13 & 1  & 8  & 4  & 5  & 3  & 12 & 2  \\
9  & 11 & 2  & 7  & 8  & 1  & 4  & 13 & 3  \\
5  & 1  & 7  & 6  & 13 & 9  & 10 & 3  & 8  \\
3  & 9  & 5  & 4  & 11 & 10 & 6  & 8  & 1  \\
8  & 12 & 11 & 5  & 7  & 6  & 13 & 9  & 10 \\
2  & 7  & 9  & 13 & 10 & 4  & 11 & 6  & 12 \\
\cline{1-9}
\end{tabular}
\end{Example}

\begin{Example}\label{C102}  A CMDRR$(10, 2)$ with spouse pairs M$1$F$1$ and M$2$F$2$,
and repeat oppositions M$3$M$4$, F$3$F$4$, M$5$M$6$, F$5$F$6$, M$7$M$8$, F$7$F$8$, M$9$M$0$, and F$9$F$0$.
\\[.05in]
\begin{tabular}{|cccccccccc|}
\cline{1-10}
   & 40 & 74 & 92 & 66 & 85 & 29 & 37 & 53 & 08 \\
48 &    & 56 & 39 & 00 & 71 & 84 & 95 & 17 & 63 \\
90 & 05 & 82 & 51 & 73 & 67 & 18 & 49 & 24 & 46 \\
69 & 86 & 04 & 75 & 57 & 30 & 93 & 21 & 38 & 12 \\
34 & 68 & 19 & 60 & 81 & 23 & 45 & 76 & 02 & 97 \\
03 & 77 & 20 & 88 & 99 & 15 & 36 & 52 & 41 & 54 \\
26 & 91 & 35 & 13 & 44 & 58 & 62 & 07 & 80 & 89 \\
55 & 33 & 98 & 27 & 16 & 42 & 01 & 64 & 70 & 79 \\
72 & 14 & 47 & 06 & 28 & 09 & 50 & 83 & 65 & 31 \\
87 & 59 & 61 & 43 & 32 & 94 & 78 & 10 & 96 & 25 \\
\cline{1-10}
\end{tabular}
\\[.05in]
\newpage\noindent
Resolution with short rounds $1-16$, each with $3$ games, and short round $17$ with $1$ game.
\\[.05in]
\begin{tabular}{|cccccccccc|}
\cline{1-10}
   & 7  & 2  & 5  & 15 & 3  & 9  & 6  & 1  & 16 \\
14 &    & 16 & 3  & 6  & 12 & 13 & 2  & 9  & 8  \\
4  & 11 & 12 & 15 & 7  & 14 & 6  & 13 & 3  & 1  \\
11 & 6  & 4  & 16 & 10 & 1  & 3  & 14 & 13 & 7  \\
15 & 4  & 1  & 9  & 8  & 16 & 10 & 5  & 2  & 11 \\
13 & 1  & 8  & 10 & 12 & 15 & 14 & 4  & 11 & 9  \\
12 & 10 & 7  & 2  & 16 & 5  & 1  & 15 & 17 & 14 \\
8  & 12 & 9  & 13 & 3  & 6  & 5  & 10 & 14 & 17 \\
10 & 5  & 3  & 8  & 2  & 7  & 11 & 9  & 12 & 4  \\
5  & 2  & 13 & 4  & 11 & 8  & 15 & 16 & 7  & 6  \\
\cline{1-10}
\end{tabular}
\end{Example}

   \section{Recursive Construction}

In this section we present a recursive construction using holey SOLS and use it to show the existence of
CMDRR$(n,k)$ for all allowed values of $n$ and $k$, apart from $4$ exceptions and $31$ possible exceptions.
We show that a fully resolvable CMDRR$(2n, 0)$ exists for all $n \ge 5$
and a fully resolvable CMDRR$(3n, n)$ exists for all $n \ge 5$ and $n$ odd.

For completeness we include the definition of a holey SOLS (see~\cite{FIN}).

\begin{Definition}\label{HSOLS}
A holey SOLS (or frame SOLS) is a self-orthogonal latin square of order $n$ with $n_i$ missing sub-SOLS (holes)
of order $h_i$ ($1 \le i \le k$), which are disjoint and spanning (that is $\sum_{1 \le i \le k}n_ih_i = n$).
It is denoted by HSOLS$(h_1^{n_1} \ldots h_k^{n_k})$ where $h_1^{n_1} \ldots h_k^{n_k}$ is the type of the HSOLS.
\end{Definition}

Suppose an HSOLS exists and CMDRR exist for each hole size. Then we can fill in the holes with the CMDRRs to get a
new CMDRR. The details follow. For convenience we will assume that a CMDRR$(1, 1)$ exists with spouse pair M$1$F$1$ and no games.

\begin{Theorem}\label{cons}
Suppose an HSOLS$(n)$ of type $h_1^{n_1} \ldots h_k^{n_k}$ exists and for each $h_i$ there exist
CMDRR$(h_i, m_{i1}), \ldots, $ CMDRR$(h_i, m_{i{n_i}})$. Then there exists a CMDRR$(n, s)$ where
$s = \sum_{1 \le i \le k}\sum_{1 \le j \le n_i}m_{ij}$.
\end{Theorem}
\begin{Proof}
By possibly relabeling players we can assume that the HSOLS is block diagonal. By construction, spouse pairs will always have the form M$i$F$i$.

Use the standard SOLS representation for a SAMDRR to identify games for all entries of the HSOLS that are not in a hole.
Thus every entry $(i,j)$ not in a hole will
contribute the game M$i$F$(i,j)$ v M$j$F$(j,i)$. By definition of an HSOLS these games satisfy the conditions that every pair of opposite sex players
have partnered and opposed at most once, every pair of same sex players have opposed at most once, and no spouses have played in a game together.

Each missing sub-SOLS (hole) corresponds to a set S of consecutive integers which are the indices and also the missing entries. Use a translation of an appropriate sized
CMDRR and identify games using the representation introduced for CMDRRs. Assume the translation is by $t$.
Then a non-empty entry $(i,j)$ of the CMDRR will contribute the game M$i'$M$j'$ v F$x'$F$y'$ where
the $(i,j)$ entry of the CMDRR is $(x,y)$ and each primed symbol is the corresponding unprimed symbol plus $t$. By definition of an HSOLS, the players in a hole will
not be involved in any other common games.

Taking all the games identified by the two different processes described above will produce the required CMDRR.
As every pair of players is either in a hole or not in any hole, the conditions for a CMDRR are met.  \qed
\end{Proof}

\begin{Example}\label{C11} A CMDRR$(11, 7)$  can be constructed from the \\ HSOLS$(1^63^12^1)$ given below (see~\cite{FIN, Z}). Use the
CMDRR$(3, 1)$ of Example~\ref{C31} to fill the hole of size three and the  strict MMDRR$(2)$ of Example~\ref{C20} to fill the hole of size two.
The spouse pairs are M$1$F$1, \ldots, $M$7$F$7$. The repeat oppositions are M$8$M$9$, F$8$F$9$, M$10$M$11$, and F$10$F$11$.
\\[.05in]
\begin{tabular}{|ccccccccccc|}
\cline{1-11}
. & 7 & 5 & 2 & 10 & 9 & 4 & 11 & 3 & 6 & 8 \\
6 & . & 8 & 7 & 3 & 10 & 1 & 5 & 11 & 4 & 9 \\
9 & 4 & . & 10 & 8 & 1 & 11 & 2 & 6 & 5 & 7 \\
5 & 11 & 9 & . & 7 & 2 & 6 & 10 & 1 & 8 & 3 \\
7 & 6 & 11 & 3 & . & 8 & 2 & 4 & 10 & 9 & 1 \\
11 & 8 & 4 & 9 & 1 & . & 10 & 3 & 5 & 7 & 2 \\
3 & 10 & 6 & 1 & 11 & 5 & . & . & . & 2 & 4 \\
4 & 1 & 10 & 6 & 2 & 11 & . & . & . & 3 & 5 \\
10 & 5 & 2 & 11 & 4 & 3 & . & . & . & 1 & 6 \\
8 & 9 & 7 & 5 & 6 & 4 & 3 & 1 & 2 & . & . \\
2 & 3 & 1 & 8 & 9 & 7 & 5 & 6 & 4 & . & . \\
\cline{1-11}
\end{tabular}
\end{Example}

In order to create CMDRR using Theorem~\ref{cons} we need a supply of HSOLS. The following theorems (see~\cite{FIN, HZ, XZZ}) give just the
supply we need.

\begin{Theorem}\label{HSOLSanb1}
For $n \ge 4$ and $a \ge 2$, an HSOLS$(a^nb^1)$ exists if $0 \le b \le a(n-1)/2$ with
possible exceptions for $n \in \{6, 14, 18, 22\}$ and $b = a(n-1)/2$.
\end{Theorem}

\begin{Definition}
An incomplete SOLS is a self-orthogonal latin square of order $n$ missing a sub-SOLS of
order $k$, denoted by ISOLS$(n,k)$. An ISOLS$(n,k)$ is equivalent to an HSOLS$(1^{n-k}k^1)$. (see~\cite{FIN})
\end{Definition}

\begin{Theorem}\label{ISOLS}
There exists an ISOLS$(n,k)$ for all values of $n$ and $k$ satisfying $n \ge 3k+1$,
except for $(n,k) = (6,1), (8,2)$ and possibly excepting $n = 3k+2$ and $k \in \{6,8,10\}$.
\end{Theorem}

We can now show that CMDRR$(n,k)$ exist for all but a finite number of possible exceptions.

\begin{Theorem}\label{ge32}
There exists a CMDRR$(n,k)$ for each $n \ge 32, k \le n, $ and $n-k$ even.
\end{Theorem}
\begin{Proof}
By Theorem~\ref{HSOLSanb1} an HSOLS$(a^nb^1)$ exists for $a=8, n \ge 4, $ and $0 \le b \le 7$.
Each hole of size $8$ can be filled with any one of the CMDRR$(8,0)$ (Example~\ref{C80}), CMDRR$(8,2)$ (Example~\ref{C82}),
CMDRR$(8,4)$ \\ (Example~\ref{C84}), CMDRR$(8,6)$ (Example~\ref{C86}), or a SAMDRR$(8)$. For $2 \le b \le 7$,
the hole of size $b$ can be filled with one of the CMDRR$(b,i)$ given in Examples~\ref{C20}--~\ref{C75} or
the SAMDRR$(b)$ for $b \ne 2,3,6$. By direct observation and using Theorem~\ref{HSOLSanb1} we have the stated
CMDRRs, except for CMDRR$(n,n)$ when $n \ge 32$ and $n \equiv 2, 3,$ or $6 \ppmod 8$. But we know that SAMDRR$(n)$ exist for these sizes. \qed
\end{Proof}

Finally we can use Theorems~\ref{HSOLSanb1} and~\ref{ISOLS} to handle special cases for $n < 32$ and give our main result.

\begin{Theorem}
There exists a CMDRR$(n,k)$ for each $n \ge 2, k \le n, $ and \\ $n-k$ even, except for $(n,k) = (2,2),$ $(3,3),$ $(4,2),$ $(6,6)$
and possibly excepting the following $31$ values: $(n,k) = (5,3),$ $(6,2),$
 $(12,2),$ $(12,6),$ $(12,8),$ $(13,3),$ $(13,7),$ $\!(14,2),$ $(14,6),$ $(15,3),$ $(15,7),$ $(15,9),$ $(16,2),$
 $\!(16, 10),$ $\!(17,3),$ $\!(17,7),$ $\!(17,11),$ $\!(18,2),$ $(18,10),$ $(19,3),$ $(19,11),$ $(20,2),$
 $(20,14),$ $(21,3),$ $(21, 11),$ $(22,2),$ $(22,14),$ $(23,15),$ $(24,2),$ $(24,14),$
 $(25,15).$
\end{Theorem}
\begin{Proof}
By Theorem~\ref{ge32}, a CMDRR$(n,k)$ exists for $n \ge 32$. The table below shows a construction that can be used for each value
of $n < 32$ and compatible $k$, except for the values listed above.
\\[.05in]
\begin{tabular}{lll}
n & k & construction  \\ \cline{1-3}
  &   &  \\

9 & 1 & HSOLS$(2^41^1)$ \\
9 & 3 & Example \ref{C93} \\
9 & 5 & HSOLS$(2^21^5)$ Lemma 2.2 of~\cite{XZZ} \\
9 & 7 & ISOLS$(9,2)$ \\

10 & 0 & HSOLS$(2^5)$ \\
10 & 2 & Example \ref{C102} \\
10 & 4 & HSOLS$(2^31^4)$ Lemma 2.2 of~\cite{XZZ} \\
10 & 6 & HSOLS$(2^21^6)$ Lemma 2.2 of~\cite{XZZ} \\
10 & 8 & ISOLS$(10,2)$ \\

11 & 1 & HSOLS$(2^51^1)$ \\
11 & 3 & HSOLS$(2^41^3)$ Lemma 2.2 of~\cite{XZZ} \\
11 & 5 & HSOLS$(2^31^5)$ Lemma 2.2 of~\cite{XZZ} \\
11 & 7 & HSOLS$(1^63^12^1)$ Example \ref{C11} \\
11 & 9 & ISOLS$(11,2)$ \\

12 & 0 & HSOLS$(2^6)$ \\
12 & 4 & HSOLS$(3^4)$ \\
12 & 10 & ISOLS$(12,2)$ \\

13 & 1 & HSOLS$(2^53^1)$ \\
13 & 5 & HSOLS$(3^41^1)$ \\
13 & 9 & ISOLS$(13,4)$ \\
13 & 11 & ISOLS$(13,2)$ \\

14 & 0 & HSOLS$(2^7)$ \\
14 & 4 & HSOLS$(3^42^1)$ \\
14 & 8 & HSOLS$(1^84^12^1)$~\cite{ABZZ} \\
14 & 10,14 & ISOLS$(14,4)$ \\
14 & 12 & ISOLS$(14,2)$ \\

15 & 1 & HSOLS$(2^63^1)$ \\
15 & 5 & HSOLS$(3^5)$ \\
15 & 11 & ISOLS$(15,4)$ \\
15 & 13 & ISOLS$(15,2)$ \\

16 & 0,4,8,12,16 & HSOLS$(4^4)$ \\
16 & 6 & HSOLS$(3^51^1)$ \\
16 & 14 & ISOLS$(16,2)$ \\

17 & 1,5,9,13,17 & HSOLS$(4^41^1)$ \\
17 & 15 & ISOLS$(17,2)$ \\

18 & 0,4,8,12,16 & HSOLS$(4^42^1)$ \\
18 & 6 & HSOLS$(3^6)$ \\
18 & 14,18 & ISOLS$(18,4)$ \\

19 & 1,5,9,13,17 & HSOLS$(4^43^1)$ \\
19 & 7 & HSOLS$(3^61^1)$ \\
19 & 15,19 & ISOLS$(19,4)$ \\

20 & 0,4,8,12,16,20 & HSOLS$(4^5)$ \\
20 & 6,10 & HSOLS$(3^55^1)$ \\
20 & 18 & ISOLS$(20,2)$ \\

\end{tabular}
\newpage
\begin{tabular}{lll}

21 & 1,5,9,13,17,21 & HSOLS$(4^51^1)$ \\
21 & 7 & HSOLS$(3^7)$ \\
21 & 15,19 & ISOLS$(21,6)$ \\

22 & 0,4,8,12,16,20 & HSOLS$(4^52^1)$ \\
22 & 6,10 & HSOLS$(3^64^1)$ \\
22 & 16,18,20,22 & ISOLS$(22,7)$ \\

23 & 1,5,9,13,17,21 & HSOLS$(4^53^1)$ \\
23 & 3 & HSOLS$(2^87^1)$ \\
23 & 7,11 & HSOLS$(3^65^1)$ \\
23 & 17,19,21,23 & ISOLS$(23,7)$ \\

24 & 0,4,8,12,16 & HSOLS$(6^4)$ \\
24 & 6,10 & HSOLS$(3^66^1)$ \\
24 & 18,20,22,24 & ISOLS(24,7) \\

25 & 1,3,5,7,9,11,13 & HSOLS$(6^41^1)$ \\
25 & 17,19,21,23,25 & ISOLS(25,8) \\

26 & 0,4,8,12,16,20,24 & HSOLS$(4^56^1)$ \\
26 & 2 & HSOLS$(2^98^1)$ \\
26 & 6,10,14,18,22,26 & HSOLS$(5^51^1)$ \\

27 & 1,3,5,7,9,11,13,15,17,19,21,23,25,27 & HSOLS$(4^57^1)$ \\

28 & 0,2 & HSOLS$(2^{10}8^1)$ \\
28 & 4,6,8,10,12,14,16,18,20,22,24,26,28 & HSOLS$(7^4)$ \\

29 & 1,3 & HSOLS$(2^{11}7^1)$ \\
29 & 5,7,9,11,13,15,17,19,21,23,25,27,29 & HSOLS$(7^41^1)$ \\

30 & 0,2 & HSOLS$(2^{11}8^1)$ \\
30 & 4,6,8,10,12,14,16,18,20,22,24,26,28 & HSOLS$(7^42^1)$ \\

31 & 1,3 & HSOLS$(2^{12}7^1)$ \\
31 & 5,7,9,11,13,15,17,19,21,23,25,27,29 & HSOLS$(7^43^1)$ \\
\end{tabular}
\\[.05in]
\qed
\end{Proof}

Resolvability of a CMDRR is more difficult to ensure.
By filling holes in an HSOLSSOM we can construct resolvable CMDRR. For completeness we include the definition of a holey SOLSSOM (see~\cite{FIN}).

\begin{Definition}\label{HSOLSSOM}
A holey SOLSSOM (or frame SOLSSOM) is a holey self-orthogonal latin square S of order $n$ and type $h_1^{n_1} \ldots h_k^{n_k}$,
together with a symmetric partitioned latin square M of order $n$ and type $h_1^{n_1} \ldots h_k^{n_k}$, satisfying the property
that when superimposed, the ordered pairs are exactly those pairs of symbols that are from different holes. A holey SOLSSOM with this
structure is denoted by  HSOLSSOM$(h_1^{n_1} \ldots h_k^{n_k})$, where $h_1^{n_1} \ldots h_k^{n_k}$ is the type of the HSOLSSOM.
\end{Definition}

Using the next Theorem~\cite{FIN, GA} we can construct resolvable CMDRR.

\begin{Theorem}
An HSOLSSOM$(2^n)$ exists for all $n \ge 5$ and an \\ HSOLSSOM$(3^n)$ exists for all odd values of $n$ with $n \ge 5$.
\end{Theorem}

\begin{Theorem}
A fully resolvable strict MMDRR$(2n)$ exists for all $n \ge 5$.
\end{Theorem}
\begin{Proof}
Begin with an HSOLSSOM$(2^n)$ and convert this to a resolvable mixed doubles round robin with $2n$ rounds of play.
Pairs of rounds will be missing all four of the players from one of the $n$ holes. Simply fill these holes with
a strict MMDRR$(2)$ constructed on the corresponding four players, thus completing the $2n$ rounds. \qed
\end{Proof}

\begin{Example}\label{x} Lemma 2.1.2 of Bennett and Zhu~\cite{BZ} gives both an example of a holey Steiner pentagon system (HSPS) of type $2^6$
and also its equivalent HSOLSSOM$(2^6)$. We rearrange the latter to make the holes block diagonal.
\\[.05in]
\begin{tabular}{|cccccccccccc|}
\cline{1-12}
.  & .  & 6  & 10 & 12 & 11 & 5  & 3  & 4  & 8  & 9  &  7 \\
.  & .  & 10 & 11 & 8  & 9  & 4  & 6  & 5  & 12 & 7  &  3 \\
12 & 8  & .  & .  & 9  & 7  & 10 & 1  & 11 & 6  & 5  &  2 \\
6  & 5  & .  & .  & 7  & 12 & 2  & 9  & 1  & 11 & 8  &  10 \\
10 & 4  & 12 & 9  & .  & .  & 1  & 11 & 2  & 7  & 3  &  8 \\
4  & 11 & 1  & 8  & .  & .  & 12 & 2  & 7  & 3  & 10 &  9 \\
9  & 10 & 11 & 12 & 4  & 3  & .  & .  & 6  & 5  & 2  &  1 \\
11 & 3  & 9  & 6  & 2  & 10 & .  & .  & 12 & 1  & 4  &  5 \\
7  & 12 & 8  & 5  & 3  & 2  & 11 & 4  & .  & .  & 1  &  6 \\
5  & 7  & 2  & 1  & 11 & 8  & 3  & 12 & .  & .  & 6  &  4 \\
8  & 6  & 7  & 2  & 10 & 1  & 9  & 5  & 3  & 4  & .  &  . \\
3  & 9  & 5  & 7  & 1  & 4  & 6  & 10 & 8  & 2  & .  &  . \\
\cline{1-12}
\end{tabular}
\\[.05in]
\begin{tabular}{|cccccccccccc|}
\cline{1-12}
.  & .  & 7  & 11 & 8  & 10 & 4  & 9  & 5  & 12 & 3  &  6 \\
.  & .  & 6  & 8  & 11 & 7  & 12 & 10 & 3  & 4  & 9  &  5 \\
7  & 6  & .  & .  & 2  & 12 & 5  & 11 & 1  & 8  & 10 &  9 \\
11 & 8  & .  & .  & 1  & 9  & 10 & 12 & 7  & 6  & 5  &  2 \\
8  & 11 & 2  & 1  & .  & .  & 9  & 4  & 12 & 3  & 7  &  10 \\
10 & 7  & 12 & 9  & .  & .  & 1  & 3  & 11 & 2  & 4  &  8 \\
4  & 12 & 5  & 10 & 9  & 1  & .  & .  & 2  & 11 & 6  &  3 \\
9  & 10 & 11 & 12 & 4  & 3  & .  & .  & 6  & 5  & 2  &  1 \\
5  & 3  & 1  & 7  & 12 & 11 & 2  & 6  & .  & .  & 8  &  4 \\
12 & 4  & 8  & 6  & 3  & 2  & 11 & 5  & .  & .  & 1  &  7 \\
3  & 9  & 10 & 5  & 7  & 4  & 6  & 2  & 8  & 1  & .  &  . \\
6  & 5  & 9  & 2  & 10 & 8  & 3  & 1  & 4  & 7  & .  &  . \\
\cline{1-12}
\end{tabular}
\\[.05in]
\newpage\noindent
The HSOLSSOM is converted to a mixed doubles tournament and filled to produce a fully resolvable strict MMDRR$(12)$ with $12$ rounds.
\\[.05in]
{\footnotesize
\begin{tabular}{cccccccc}
R1	& M01 F01 v M02 F02	& M03 F11 v M09 F08	& M04 F07 v M05 F09	&\\& M06 F12 v M07 F03	& M08 F05 v M12 F10	& M10 F06 v M11 F04 \\
R2	& M01 F02 v M02 F01	& M03 F09 v M05 F12	& M04 F10 v M12 F07	&\\& M06 F03 v M10 F08	& M07 F06 v M09 F11	& M08 F04 v M11 F05 \\
R3	& M01 F09 v M11 F08	& M02 F05 v M09 F12	& M03 F03 v M04 F04	&\\& M05 F07 v M10 F11	& M06 F02 v M08 F10	& M07 F01 v M12 F06 \\
R4	& M01 F05 v M07 F09	& M02 F12 v M10 F07	& M03 F04 v M04 F03	&\\& M05 F11 v M08 F02	& M06 F10 v M11 F01	& M09 F06 v M12 F08 \\
R5	& M01 F04 v M09 F07	& M02 F03 v M12 F09	& M03 F10 v M07 F11	&\\& M04 F08 v M11 F02	& M05 F05 v M06 F06	& M08 F01 v M10 F12 \\
R6	& M01 F07 v M12 F03	& M02 F10 v M03 F08	& M04 F11 v M10 F01	&\\& M05 F06 v M06 F05	& M07 F02 v M11 F09	& M08 F12 v M09 F04 \\
R7	& M01 F06 v M03 F12	& M02 F09 v M06 F11	& M04 F01 v M09 F05	&\\& M05 F03 v M11 F10	& M07 F07 v M08 F08	& M10 F04 v M12 F02 \\
R8	& M01 F12 v M05 F10	& M02 F11 v M04 F05	& M03 F06 v M10 F02	&\\& M06 F09 v M12 F04	& M07 F08 v M08 F07	& M09 F01 v M11 F03 \\
R9	& M01 F03 v M08 F11	& M02 F07 v M11 F06	& M03 F02 v M12 F05	&\\& M04 F12 v M06 F08	& M05 F01 v M07 F04	& M09 F09 v M10 F10 \\
R10	& M01 F11 v M06 F04	& M02 F06 v M08 F03	& M03 F05 v M11 F07	&\\& M04 F02 v M07 F12	& M05 F08 v M12 F01	& M09 F10 v M10 F09 \\
R11	& M01 F10 v M04 F06	& M02 F08 v M05 F04	& M03 F01 v M08 F09	&\\& M06 F07 v M09 F02	& M07 F05 v M10 F03	& M11 F11 v M12 F12 \\
R12	& M01 F08 v M10 F05	& M02 F04 v M07 F10	& M03 F07 v M06 F01	&\\& M04 F09 v M08 F06	& M05 F02 v M09 F03	& M11 F12 v M12 F11 \\
\end{tabular}}
\end{Example}

\begin{Theorem}
A fully resolvable CMDRR$(3n, n)$ exists for all $n \ge 5$ and $n$ odd.
\end{Theorem}
\begin{Proof}
Begin with an HSOLSSOM$(3^n)$ and convert to a resolved mixed doubles round robin tournament. Fill each hole with a
CMDRR$(3,1)$ on the corresponding six players, noting that each CMDRR$(3,1)$ contributes one spouse pair to
the final schedule. Three of the four games from each CMDRR$(3,1)$ are added to the three rounds that
lack the six players from the hole. Collect together the fourth game from each CMDRR$(3,1)$ into one additional
round. This give a tournament with $3n+1$ rounds of play. The first $3n$ full rounds will all have
$(3n-1)/2$ games and two byes, and the additional short round will have $n$ games and $2n$ byes. Over the course
of the tournament, each spouse pair player will receive exactly $2$ byes while the non-spouse pair players will
receive exactly $1$ bye.\qed
\end{Proof}

\newpage
\begin{Example}\label{y} Lemma 2.2 of Abel et al.~\cite{ABZ} gives an example of a HSPS of type $3^5$
which is equivalent to the HSOLSSOM$(3^5)$ below.
\\[.05in]
{\footnotesize
\begin{tabular}{|ccccccccccccccc|}
\cline{1-15}
.  & .  & .  & 12 & 9  & 13 & 14 & 6  & 11 & 7  & 5  & 15 & 8  & 10 & 4  \\
.  & .  & .  & 14 & 10 & 7  & 12 & 15 & 4  & 13 & 8  & 6  & 5  & 9  & 11 \\
.  & .  & .  & 8  & 15 & 11 & 5  & 10 & 13 & 4  & 14 & 9  & 12 & 6  & 7  \\
7  & 11 & 13 & .  & .  & .  & 15 & 12 & 2  & 3  & 9  & 14 & 10 & 8  & 1  \\
14 & 8  & 12 & .  & .  & .  & 3  & 13 & 10 & 15 & 1  & 7  & 2  & 11 & 9  \\
10 & 15 & 9  & .  & .  & .  & 11 & 1  & 14 & 8  & 13 & 2  & 7  & 3  & 12 \\
4  & 13 & 11 & 10 & 14 & 2  & .  & .  & .  & 1  & 15 & 5  & 6  & 12 & 3  \\
12 & 5  & 14 & 3  & 11 & 15 & .  & .  & .  & 6  & 2  & 13 & 1  & 4  & 10 \\
15 & 10 & 6  & 13 & 1  & 12 & .  & .  & .  & 14 & 4  & 3  & 11 & 2  & 5  \\
6  & 9  & 15 & 7  & 2  & 14 & 13 & 3  & 5  & .  & .  & .  & 4  & 1  & 8  \\
13 & 4  & 7  & 15 & 8  & 3  & 6  & 14 & 1  & .  & .  & .  & 9  & 5  & 2  \\
8  & 14 & 5  & 1  & 13 & 9  & 2  & 4  & 15 & .  & .  & .  & 3  & 7  & 6  \\
11 & 7  & 4  & 9  & 12 & 1  & 10 & 5  & 3  & 2  & 6  & 8  & .  & .  & .  \\
5  & 12 & 8  & 2  & 7  & 10 & 1  & 11 & 6  & 9  & 3  & 4  & .  & .  & .  \\
9  & 6  & 10 & 11 & 3  & 8  & 4  & 2  & 12 & 5  & 7  & 1  & .  & .  & .  \\
\cline{1-15}
\end{tabular}
\\[.05in]
\begin{tabular}{|ccccccccccccccc|}
\cline{1-15}
.  & .  & .  & 14 & 10 & 7  & 12 & 15 & 4  & 13 & 8  & 6  & 5  & 9  & 11 \\
.  & .  & .  & 8  & 15 & 11 & 5  & 10 & 13 & 4  & 14 & 9  & 12 & 6  & 7  \\
.  & .  & .  & 12 & 9  & 13 & 14 & 6  & 11 & 7  & 5  & 15 & 8  & 10 & 4  \\
14 & 8  & 12 & .  & .  & .  & 3  & 13 & 10 & 15 & 1  & 7  & 2  & 11 & 9  \\
10 & 15 & 9  & .  & .  & .  & 11 & 1  & 14 & 8  & 13 & 2  & 7  & 3  & 12 \\
7  & 11 & 13 & .  & .  & .  & 15 & 12 & 2  & 3  & 9  & 14 & 10 & 8  & 1  \\
12 & 5  & 14 & 3  & 11 & 15 & .  & .  & .  & 6  & 2  & 13 & 1  & 4  & 10 \\
15 & 10 & 6  & 13 & 1  & 12 & .  & .  & .  & 14 & 4  & 3  & 11 & 2  & 5  \\
4  & 13 & 11 & 10 & 14 & 2  & .  & .  & .  & 1  & 15 & 5  & 6  & 12 & 3  \\
13 & 4  & 7  & 15 & 8  & 3  & 6  & 14 & 1  & .  & .  & .  & 9  & 5  & 2  \\
8  & 14 & 5  & 1  & 13 & 9  & 2  & 4  & 15 & .  & .  & .  & 3  & 7  & 6  \\
6  & 9  & 15 & 7  & 2  & 14 & 13 & 3  & 5  & .  & .  & .  & 4  & 1  & 8  \\
5  & 12 & 8  & 2  & 7  & 10 & 1  & 11 & 6  & 9  & 3  & 4  & .  & .  & .  \\
9  & 6  & 10 & 11 & 3  & 8  & 4  & 2  & 12 & 5  & 7  & 1  & .  & .  & .  \\
11 & 7  & 4  & 9  & 12 & 1  & 10 & 5  & 3  & 2  & 6  & 8  & .  & .  & .  \\
\cline{1-15}
\end{tabular}}
\\[.05in]
\newpage\noindent
The HSOLSSOM is converted to a mixed doubles tournament and filled to produce a CMDRR$(15,5)$ with $15$ full rounds and $1$ short round.
The spouse pairs are M$1$F$1$, M$4$F$4$, M$7$F$7$, M$10$F$10$, and M$13$F$13$.
\\[.05in]
{\footnotesize
\begin{tabular}{ccccccccc}
R1	& M01 F02 v M02 F03	& M04 F09 v M11 F15	& M05 F13 v M08 F11	&\\& M06 F12 v M15 F08	& M07 F06 v M13 F10	& M09 F14 v M10 F05	&\\& M12 F07 v M14 F04 \\
R2	& M01 F03 v M03 F02	& M04 F10 v M13 F09	& M05 F07 v M12 F13	&\\& M06 F14 v M09 F12	& M07 F15 v M11 F06	& M08 F04 v M14 F11	&\\& M10 F08 v M15 F05 \\
R3	& M02 F01 v M03 F03	& M04 F15 v M07 F10	& M05 F11 v M14 F07	&\\& M06 F08 v M10 F14	& M08 F13 v M12 F04	& M09 F05 v M15 F12	&\\& M11 F09 v M13 F06 \\
R4	& M01 F11 v M09 F15	& M02 F13 v M10 F09	& M03 F07 v M15 F10	&\\& M04 F05 v M05 F06	& M07 F12 v M14 F01	& M08 F02 v M11 F14	&\\& M12 F03 v M13 F08 \\
R5	& M01 F08 v M13 F11	& M02 F12 v M07 F13	& M03 F14 v M11 F07	&\\& M04 F06 v M06 F05	& M08 F10 v M15 F02	& M09 F03 v M12 F15	&\\& M10 F01 v M14 F09 \\
R6	& M01 F15 v M12 F08	& M02 F09 v M14 F12	& M03 F10 v M08 F14	&\\& M05 F04 v M06 F06	& M07 F01 v M10 F13	& M09 F11 v M13 F03	&\\& M11 F02 v M15 F07 \\
R7	& M01 F13 v M06 F10	& M02 F11 v M15 F06	& M03 F04 v M10 F15	&\\& M04 F14 v M12 F01	& M05 F02 v M13 F12	& M07 F08 v M08 F09	&\\& M11 F05 v M14 F03 \\
R8	& M01 F05 v M11 F13	& M02 F14 v M04 F11	& M03 F12 v M13 F04	&\\& M05 F15 v M10 F02	& M06 F03 v M14 F10	& M07 F09 v M09 F08	&\\& M12 F06 v M15 F01 \\
R9	& M01 F10 v M14 F05	& M02 F06 v M12 F14	& M03 F15 v M05 F12	&\\& M04 F01 v M15 F11	& M06 F13 v M11 F03	& M08 F07 v M09 F09	&\\& M10 F04 v M13 F02 \\
R10	& M01 F09 v M05 F14	& M02 F15 v M08 F05	& M03 F06 v M14 F08	&\\& M04 F02 v M09 F13	& M06 F07 v M13 F01	& M07 F03 v M15 F04	&\\& M10 F11 v M11 F12 \\
R11	& M01 F04 v M15 F09	& M02 F07 v M06 F15	& M03 F13 v M09 F06	&\\& M04 F08 v M14 F02	& M05 F03 v M07 F14	& M08 F01 v M13 F05	&\\& M10 F12 v M12 F11 \\
R12	& M01 F14 v M07 F04	& M02 F05 v M13 F07	& M03 F08 v M04 F13	&\\& M05 F09 v M15 F03	& M06 F01 v M08 F15	& M09 F02 v M14 F06	&\\& M11 F10 v M12 F12 \\
R13	& M01 F07 v M10 F06	& M02 F04 v M09 F10	& M03 F11 v M06 F09	&\\& M04 F12 v M08 F03	& M05 F01 v M11 F08	& M07 F05 v M12 F02	&\\& M13 F14 v M14 F15 \\
R14	& M01 F12 v M04 F07	& M02 F08 v M11 F04	& M03 F05 v M07 F11	&\\& M05 F10 v M09 F01	& M06 F02 v M12 F09	& M08 F06 v M10 F03	&\\& M13 F15 v M15 F14 \\
R15	& M01 F06 v M08 F12	& M02 F10 v M05 F08	& M03 F09 v M12 F05	&\\& M04 F03 v M10 F07	& M06 F11 v M07 F02	& M09 F04 v M11 F01	&\\& M14 F13 v M15 F15 \\
R16	& M02 F02 v M03 F01	& M05 F05 v M06 F04	& M08 F08 v M09 F07	&\\& M11 F11 v M12 F10	& M14 F14 v M15 F13 \\
\end{tabular}}
\end{Example}

\newpage
\begin{Example}\label{C166} Abel et al.~\cite{ABZZ} gives an example of an HSOLS$(3^51^1)$ \\ which is shown in
block diagonal form below.
\\[.05in]
{\scriptsize
\begin{tabular}{|cccccccccccccccc|}
\cline{1-16}
 .$\!$ & .$\!$  & .$\!$ & 10$\!$ & 14$\!$ & 11$\!$ & 5$\!$  & 12$\!$ & 13$\!$ & 15$\!$ & 7$\!$  & 8$\!$  & 6$\!$  & 16$\!$ & 4$\!$  & 9  \\
 .$\!$  & .$\!$  & .$\!$  & 12$\!$ & 13$\!$ & 14$\!$ & 10$\!$ & 16$\!$ & 4$\!$  & 9$\!$  & 15$\!$ & 5$\!$  & 11$\!$ & 6$\!$  & 8$\!$  & 7  \\
 .$\!$  & .$\!$  & .$\!$  & 13$\!$ & 15$\!$ & 10$\!$ & 4$\!$  & 11$\!$ & 12$\!$ & 14$\!$ & 6 $\!$ & 9 $\!$ & 7 $\!$ & 5 $\!$ & 16$\!$ & 8  \\
 9 $\!$ & 16$\!$ & 11$\!$ & . $\!$ & . $\!$ & . $\!$ & 14$\!$ & 3 $\!$ & 2 $\!$ & 13$\!$ & 8 $\!$ & 15$\!$ & 10$\!$ & 1 $\!$ & 7 $\!$ & 12 \\
16 $\!$ & 8 $\!$ & 7 $\!$ & . $\!$ & . $\!$ & . $\!$ & 15$\!$ & 14$\!$ & 1 $\!$ & 3 $\!$ & 9 $\!$ & 13$\!$ & 12$\!$ & 2 $\!$ & 11$\!$ & 10 \\
 7 $\!$ & 12$\!$ & 15$\!$ & . $\!$ & . $\!$ & . $\!$ & 1 $\!$ & 13$\!$ & 3 $\!$ & 8 $\!$ & 14$\!$ & 16$\!$ & 9 $\!$ & 10$\!$ & 2 $\!$ & 11 \\
14 $\!$ & 6 $\!$ & 10$\!$ & 2 $\!$ &11 $\!$ & 13$\!$ & . $\!$ & . $\!$ & . $\!$ & 4 $\!$ & 5 $\!$ & 3 $\!$ & 16$\!$ & 12$\!$ & 1 $\!$ & 15 \\
 5 $\!$ & 11$\!$ & 14$\!$ & 15$\!$ & 10$\!$ & 16$\!$ & . $\!$ & . $\!$ & . $\!$ & 6 $\!$ & 1 $\!$ & 4 $\!$ & 2 $\!$ & 3 $\!$ & 12$\!$ & 13 \\
 6 $\!$ & 15$\!$ & 13$\!$ & 11$\!$ & 16$\!$ & 12$\!$ & . $\!$ & . $\!$ & . $\!$ & 5 $\!$ & 2 $\!$ & 1 $\!$ & 3 $\!$ & 4 $\!$ & 10$\!$ & 14 \\
 8 $\!$ & 14$\!$ & 4 $\!$ & 3 $\!$ & 7 $\!$ & 2 $\!$ & 13$\!$ & 15$\!$ & 16$\!$ & . $\!$ & . $\!$ & . $\!$ & 5 $\!$ & 9 $\!$ & 6 $\!$ & 1  \\
13 $\!$ & 5 $\!$ & 16$\!$ & 14$\!$ & 1 $\!$ & 7 $\!$ & 3 $\!$ & 6 $\!$ & 15$\!$ & . $\!$ & . $\!$ & . $\!$ & 4 $\!$ & 8 $\!$ & 9 $\!$ & 2  \\
 4 $\!$ & 13$\!$ & 6 $\!$ & 1 $\!$ & 9 $\!$ & 15$\!$ & 16$\!$ & 2 $\!$ & 14$\!$ & . $\!$ & . $\!$ & . $\!$ & 8 $\!$ & 7 $\!$ & 5 $\!$ & 3  \\
11 $\!$ & 9 $\!$ & 12$\!$ & 7 $\!$ & 8 $\!$ & 3 $\!$ & 2 $\!$ & 5 $\!$ & 10$\!$ & 1 $\!$ & 16$\!$ & 6 $\!$ & . $\!$ & . $\!$ & . $\!$ & 4  \\
10 $\!$ & 7 $\!$ & 9 $\!$ & 8 $\!$ & 12$\!$ & 1 $\!$ & 6 $\!$ & 4 $\!$ & 11$\!$ & 16$\!$ & 3 $\!$ & 2 $\!$ & . $\!$ & . $\!$ & . $\!$ & 5  \\
12 $\!$ & 10$\!$ & 8 $\!$ & 16$\!$ & 3 $\!$ & 9 $\!$ & 11$\!$ & 1 $\!$ & 5 $\!$ & 2 $\!$ & 4 $\!$ & 7 $\!$ & . $\!$ & . $\!$ & . $\!$ & 6  \\
15 $\!$ & 4 $\!$ & 5 $\!$ & 9 $\!$ & 2 $\!$ & 8 $\!$ & 12$\!$ & 10$\!$ & 6 $\!$ & 7 $\!$ & 13$\!$ & 14$\!$ & 1 $\!$ & 11$\!$ & 3 $\!$ & .  \\
\cline{1-16}
\end{tabular}}
\\[.05in]
A CMDRR$(16,6)$ can be derived from this and can be played in 25 short rounds of 5 games each (by computer search).
The spouse pairs are M$1$F$1$,  M$4$F$4$,  M$7$F$7$,  M$10$F$10$,  M$13$F$13$, and  M$16$F$16$.
\\[.05in]
{\footnotesize
\begin{tabular}{ccccccc}
R1  & M02 F11 v M13 F09	& M04 F08 v M11 F14	& M05 F05 v M06 F04	&\\& M07 F15 v M16 F12	& M10 F06 v M15 F02 \\
R2	& M03 F04 v M07 F10	& M05 F12 v M13 F08	& M06 F16 v M12 F15	&\\& M08 F01 v M11 F06	& M14 F14 v M15 F13 \\
R3	& M01 F07 v M11 F13	& M02 F08 v M15 F10	& M03 F14 v M10 F04	&\\& M04 F02 v M09 F11	& M07 F12 v M14 F06 \\
R4	& M01 F09 v M16 F15	& M04 F13 v M10 F03	& M05 F02 v M14 F12	&\\& M06 F14 v M11 F07	& M09 F10 v M15 F05 \\
R5	& M02 F04 v M09 F15	& M03 F11 v M08 F14	& M06 F01 v M07 F13	&\\& M10 F09 v M14 F16	& M11 F10 v M12 F12 \\
R6	& M02 F10 v M07 F06	& M04 F03 v M08 F15	& M05 F01 v M09 F16	&\\& M10 F11 v M11 F12	& M12 F05 v M15 F07 \\
R7	& M01 F13 v M09 F06	& M02 F09 v M10 F14	& M03 F16 v M15 F08	&\\& M07 F05 v M11 F03	& M08 F04 v M12 F02 \\
R8	& M01 F02 v M02 F03	& M03 F07 v M13 F12	& M04 F06 v M06 F05	&\\& M08 F13 v M16 F10	& M09 F01 v M12 F14 \\
R9	& M04 F15 v M12 F01	& M07 F04 v M10 F13	& M08 F02 v M13 F05	&\\& M09 F14 v M16 F06	& M11 F08 v M14 F03 \\
R10	& M05 F14 v M08 F10	& M06 F02 v M15 F09	& M07 F03 v M12 F16	&\\& M09 F04 v M14 F11	& M10 F05 v M13 F01 \\
R11	& M02 F05 v M12 F13	& M03 F15 v M05 F07	& M06 F10 v M14 F01	&\\& M11 F04 v M13 F16	& M15 F06 v M16 F03 \\
R12	& M02 F14 v M06 F12	& M03 F09 v M12 F06	& M04 F01 v M14 F08	&\\& M05 F03 v M10 F07	& M11 F02 v M16 F13 \\
R13	& M01 F08 v M12 F04	& M05 F09 v M11 F01	& M06 F03 v M09 F12	&\\& M07 F16 v M13 F02	& M08 F06 v M10 F15 \\
R14	& M01 F11 v M06 F07	& M02 F02 v M03 F01	& M08 F03 v M14 F04	&\\& M09 F05 v M10 F16	& M13 F15 v M15 F14 \\

\end{tabular}
\\[.05in]
\begin{tabular}{ccccccc}

R15	& M01 F04 v M15 F12	& M03 F08 v M16 F05	& M08 F07 v M09 F09	&\\& M11 F11 v M12 F10	& M13 F14 v M14 F15 \\
R16	& M01 F10 v M04 F09	& M03 F12 v M09 F13	& M05 F15 v M07 F11	&\\& M10 F01 v M16 F07	& M12 F08 v M13 F06 \\
R17	& M01 F15 v M10 F08	& M02 F06 v M14 F07	& M05 F10 v M16 F02	&\\& M06 F13 v M08 F16	& M11 F09 v M15 F04 \\
R18	& M01 F14 v M05 F16	& M04 F10 v M13 F07	& M07 F08 v M08 F09	&\\& M09 F02 v M11 F15	& M14 F05 v M16 F11 \\
R19	& M01 F16 v M14 F10	& M02 F15 v M11 F05	& M03 F13 v M04 F11	&\\& M05 F04 v M06 F06	& M12 F03 v M16 F14 \\
R20	& M01 F05 v M07 F14	& M02 F13 v M05 F08	& M04 F07 v M15 F16	&\\& M06 F09 v M13 F03	& M10 F12 v M12 F11 \\
R21	& M03 F06 v M11 F16	& M04 F12 v M16 F09	& M07 F01 v M15 F11	&\\& M09 F03 v M13 F10	& M12 F07 v M14 F02 \\
R22	& M01 F03 v M03 F02	& M02 F16 v M08 F11	& M04 F05 v M05 F06	&\\& M07 F09 v M09 F08	& M14 F13 v M15 F15 \\
R23	& M01 F06 v M13 F11	& M02 F07 v M16 F04	& M03 F05 v M14 F09	&\\& M06 F08 v M10 F02	& M08 F12 v M15 F01 \\
R24	& M01 F12 v M08 F05	& M02 F01 v M03 F03	& M04 F14 v M07 F02	&\\& M05 F13 v M12 F09	& M06 F11 v M16 F08 \\
R25	& M02 F12 v M04 F16	& M03 F10 v M06 F15	& M05 F11 v M15 F03	&\\& M08 F08 v M09 F07	& M13 F04 v M16 F01 \\
\end{tabular}}
\end{Example}

   \section{Product Theorem}

We next present a product construction for CMDRR. While this does not expand the spectrum given in
Section 3, it does provide an alternative construction that does not rely on HSOLS.

\begin{Theorem}\label{product}
If there exists a CMDRR$(n,k)$, a SAMDRR$(m)$, and two mutually orthogonal latin squares, MOLS, of order $n$,
then there exists a  CMDRR$(mn,mk)$.
\end{Theorem}
\begin{Proof}
Let M$(i)$ and F$(i)$, with $i=1, \ldots, n$, denote the players of the CMDRR$(n,k)$, and
let M$'(j)$ and F$'(j)$, with $j=1, \ldots, m$, denote the players of the SAMDRR$(m)$. As usual
assume, without loss of generality, that spouses have the same index.
We will construct a CMDRR$(mn,mk)$ on new players M$(i,j)$ and F$(i,j)$, with $i=1, \ldots, n$,
and $j=1, \ldots, m$.

For each game M$(w)$F$(x)$ v M$(y)$F$(z)$ of the CMDRR$(n,k)$, add to the new CMDRR$(mn,mk)$ the $m$ games
 M$(w,j)$F$(x,j)$ v M$(y,j)$F$(z,j)$, with $j=1, \ldots, m$. Call these type $1$ games. There are $m(n^2-k)/2$
of these games.

Let L$_1$ and L$_2$ be the two MOLS of order $n$.
For each game M$'(w)$F$'(x)$ v M$'(y)$F$'(z)$ of the SAMDRR$(m)$, add to the new CMDRR$(mn,mk)$ the $n^2$ games
 M$(i_1,w)$F$(i_2,x)$ v M$(i_3,y)$F$(i_4,z)$, with $i_1,i_2=1, \ldots, n$, and
$i_3=$L$_1(i_1,i_2)$, and $i_4=$L$_2(i_1,i_2)$.  Note that all of $w,x,y,$ and $z$ are distinct. Call these type $2$ games.
There are $n^2(m^2-m)/2$ of these games. So the total number of type 1 and type 2 games
is $m(n^2-k)/2 + n^2(m^2-m)/2 = ((mn)^2 - mk)/2$, the number of games expected for a CMDRR$(mn,mk)$.

We now check that the conditions for a CMDRR$(mn,mk)$ are met for opposite sex players. If M$(i)$ and F$(i)$ are spouses in the
CMDRR$(n,k)$, then for each $j=1, \ldots, m$, the players M$(i,j)$ and F$(i,j)$ satisfy the condition for spouses in the CMDRR$(mn,mk)$,
because each pair never occurs in a type $1$ or type $2$ game as partners or opponents. Thus there are at least $mk$
spouse pairs. Consider any other pair  M$(i_1,w)$F$(i_2,x)$ that are not one of these spouse pairs. If $w=x$ then by
construction the players partner once and oppose once in type 1 games. If $w\ne x$ then M$'(w)$ and F$'(x)$ partner
and oppose exactly once in the SAMDRR$(m)$ and by definition of MOLS, M$(i_1,w)$ and F$(i_2,x)$
partner and oppose exactly once in the CMDRR$(mn,mk)$. We conclude that there are exactly $mk$ spouse pairs and that every male
and female who are not spouses are partners exactly once and opponents exactly once.

We now check that the conditions for a CMDRR$(mn,mk)$ are met for same sex players. Consider players
M$(i_1,w)$ and M$(i_3,y)$. If $w=y$ then by construction they oppose at least once
in a type 1 game. If $w\ne y$ then again by construction they oppose exactly once in a type 2 game. The condition for
female players is analogous. So same sex players oppose at least once. The total number of games is correct so we conclude
that each player who does not have a spouse opposes
some other same sex player who does not have a spouse exactly twice and opposes all other same sex players exactly once. \qed
\end{Proof}


text:
With its recent 150th anniversary celebration, pop-culture cred (Drake, Ryan Gosling, and Justin Bieber have Canadian roots), and charismatic prime minister, the Great White North has finally begun to receive the international recognition it deserves — and Toronto has been preening itself for this lead role. Luxe properties and forward-thinking restaurants have been popping up across the city: there's Queen Street's historic Broadview Hotel, which reopened in the burgeoning East End with guest-room details like vinyl turntables and burgundy velvet drapes, and the stylish Bisha Hotel downtown, where the likes of Lenny Kravitz and celebrity chef Akira Back have lent their design and culinary expertise. In stereotypically modest Canadian fashion, Brothers Food + Wine — one of the city's most exciting new openings — is housed inside a tiny, nondescript space just above the Bay Street subway station, but dazzles with seasonal dishes like crispy steelhead trout with braised gem lettuce and yogurt-and-caper sauce. Next up: in Spring 2018, the Museum of Contemporary Art will move into a century-old former factory in the Junction Triangle. —Jennifer Salerno
Oceanic islands are islands that do not sit on continental shelves. The vast majority are volcanic in origin, such as Saint Helena in the South Atlantic Ocean.[11] The few oceanic islands that are not volcanic are tectonic in origin and arise where plate movements have lifted up the ocean floor above the surface. Examples are Saint Peter and Paul Rocks in the Atlantic Ocean and Macquarie Island in the Pacific.

redpajama_set_name: RedPajamaCommonCrawl


The mission of Best Buddies is to enhance the lives of people with intellectual disabilities by providing opportunities for one-to-one friendships and integrated employment.
Best Buddies ambitiously envisions a world where people with intellectual disabilities are so successfully integrated into our schools, our workplaces and our general communities that our current efforts and services will be unnecessary. Until that vision becomes a reality, our mission is to educate middle school, high school and college students, community citizens and corporations, and employers about the emotional, function and natural needs and abilities of people with mental retardation.
Best Buddies Massachusetts is always seeking volunteers from school, college, civic, and internet environments to build one-to-one friendships with intellectually disabled persons.


In 1997, the Federal District Court for the Western District of Pennsylvania evaluated one in a line of emerging personal jurisdiction cases that raised the question of whether Internet-based contacts with citizens of the forum state can alone establish the defendant purposefully availed himself of the benefits and protections of the forum state. In this unlikely watershed case, Zippo Mfg. Co. v. Zippo Dot Com, the District Court wrangled with the new concept of purposeful availment through electronic contact with the forum state. The court viewed Zippo and its antecedents as components of a new body of personal jurisdiction law: Internet-based personal jurisdiction. In Zippo, the District Court created a new test, the Zippo sliding scale, to evaluate the purposeful availment issue when the defendant's contacts are based on Internet conduct. Many courts then followed Zippo's impulse to categorize Internet-based contacts differently than other contacts and applied the sliding scale to a variety of cases possessing the common thread of Internet activity.
Zippo and its progeny raise the question of to what extent the law should customize doctrine to address the practical changes created by technological advances. Courts now stand in a similar position to Courts at the turn of the Twentieth Century when the country struggled with the realities of industrialization and cross-country travel. Through Pennoyer, then later through International Shoe, courts mediated the tensions between national growth and the tradition of territoriality through tests based on a defendant's contacts with the forum, rather than a defendant's physical presence in the forum. Territoriality, or place, served as the foundation of Twentieth Century personal jurisdiction jurisprudence and the use of a minimum contacts analysis formed the analytical structure.
Tensions exist between the role of contacts based on Internet activity and the foundation and structure created through theories based on place.
The Zippo sliding scale was the Federal District Court's response to the tension created by the perceived amelioration of place as a determinant of contacts and purposeful availment. The Zippo approach responded to a rising fear that if entities are able to contact citizens of the forum through the Internet alone, those contacts will fail the test of minimum contacts because Internet-based contacts can be disseminated so widely, purposeful availment with any particular forum is non-existent.
This article argues judicial responses such as the Court's response in Zippo constitute premature, non-functional and destabilizing reactions to Internet-based contacts analysis. First, the article argues the Zippo sliding scale has destabilized the foundation of personal jurisdiction jurisprudence by directing courts to analyze the defendant's contacts by reference to a linear scale which serves as a non-functional addition on the existing foundation. The article further argues the hasty construction of Zippo creates a new need to shore up the established framework of contacts analysis based on the place theory directives of International Shoe and Pennoyer. Finally, the article evaluates how place theory fits in the modern context through the hypothetical analysis of a case wherein a defendant's only contacts with the forum are through Internet-based activity.
Ross, Catherine J., "There is a There There: How the Zippo Sliding Scale Has Destabilized the Structural Foundation of Personal Jurisdiction Analysis" (2008). GW Law Faculty Publications & Other Works. 876.


text:
Ursuline High School Presents Distinguished Alumni Awards
by Angela McQuistion | Jul 25, 2016 | Alumni News
The Feast of Saint Ursula Liturgy was celebrated on Wednesday, October 24th at 10:30 A.M. in the school gymnasium. The thirtieth annual Distinguished Alumni Awards were presented at the liturgy. Each year, this award is given to graduates of Ursuline High School who have distinguished themselves by dedicated service to our school and to the community at large. This year's recipients were Kathleen O'Neil Wolsonovich ('66) and Kevin J. McGuire ('76).
Past award recipients include: Bishop James W. Malone, Attorney John McNally III, Mary Irene Hoffman, Joseph Nohra, Sister Jerome Corcoran, William G. Lyden, Jr., Mary Ellen Cushwa Wolsonovich, Monsignor Kenneth Miller, Alex Simon, Paulette Petrosky, Sara McClurkin Kennedy, Thomas J. Carney, Joy DiLoreto Brunner, Daniel E. Gallagher, Shirley LaCivita Phillips, Donald E. Foley, Sr., Judy Rochford Wexler, Daniel P. O'Horo, John J. Ridel, Mary Kay Buckley D'Isa, Richard Barrett, Sister Alice Marie Morley OSU, Monsignor John P. Ashton, Cynthia Ryan Reardon, Jim Beil, Sister Nancy Dawson OSU, Pat Storey Kane, Thomas Stabi, Marilou LaCivita Stroney, Dr. Thomas Shipka, Helen Lamb Lafferty, Father Frank Lehnerd, Sister Virginia McDermott OSU, M. Richard Varley, Jeanne McLaughlin Foley, Atty. Vincent Gilmartin, Maureen Collins, Father Tim O'Neill, Dorothy Ferrell Durina, Thomas P. Metzinger, Mary Moran Krygowski, George Banks, Margene Flannery Chambers, Monsignor John Zuraw, Kathleen Cunningham Conlan, Dr. Edward Novosel, Dr. Janet E. Del Bene, Scott R. Schulick, Suzanne Morrison Fleming, Bruce Joseph, Aimee Amendolara Morrison, Tom Murray, Sr. Mary Lee Nalley OSU, John Vitullo, Ruth Coleman Carroll, John Ulicney, Dr. Mary Lou Dutko DiPillo, Michael J. Fagert, Cynthia Herubin Francisco and John F. Herubin.
Kathy Wolsonovich learned the meaning of the Ursuline High School motto of "Soli Deo Gloria" extremely well during her high school years and has lived that motto in her personal, professional and community life. She has been a constant advocate for Catholic education and health care in the communities where she lived including Youngstown, Chicago and Orlando. She and her husband, Dr. Nicholas Wolsonovich, currently live in Poland, Ohio.
Kathy is a member of the Ursuline Class of 1966. She was long-time member of Saint Edward Parish until moving to Chicago and is presently a member of Holy Family Parish in Poland. She and her husband, the late Glenn Christopher (Class of 1960), made sure that their three children all attended Saint Edward School and Ursuline High School: Glenn (Class of 1987), Suzie (Class of 1990) and Patrick (Class of 1996). Her stepsons – also attended Saint Edward School and Ursuline High School: Michael Wolsonovich (Class of 1992), Charles Wolsonovich (Class of 1994) and Mark Wolsonovich (Class of 1996). Kathy was very active while her children were at Saint Edward School as the head of the Home Room Mother's Association, involved in the Home and School Association, and as a volunteer school nurse.
After the death of her husband Glen, Kathy attended Youngstown State University and graduated with the final class of the Saint Elizabeth Hospital School of Nursing in 1996. She began her nursing career at St. Elizabeth Hospital. She also served as the Unit Manager of the Alzheimer's Unit at the Assumption Village Nursing Home in North Lima. Kathy volunteered at the Prentice Women's Hospital in Chicago, the Florence Crittenton Home for unwed mothers and the Hotline for Abortion Prevention in Youngstown. She has been a strong supporter of the Joanie Abdu Breast Care Center, the Beatitude House, and the Jesus, Mary and Joseph Pregnancy Center in Orlando, Florida. Kathy is a member of the Junior League of Youngstown. Kathy has demonstrated her entrepreneurial and business acumen as the owner and operator of the Nature's Way Plant and Art Shop in Maumee, Ohio.
Perhaps Kathy's most significant contribution is the legacy of children, grandchildren and relatives who have attended Catholic schools. She has had three children, three step-children and 11 grandchildren who have attended Catholic schools. In addition, her father Robert graduated from Ursuline in 1932 and her brothers Dan and Dick were members of the Class of 1965. Four generations of Kathy's family attended Ursuline. Thirty-two members of her family graduated from Ursuline High School. Her husband Nick served as Principal of Ursuline High School from 1982-1985.
Kevin J. McGuire was born and raised on the North Side of Youngstown. He is a 1976 graduate of Ursuline High School and a graduate of Youngstown State University. Kevin has been in the home health care industry for over 30 years. He has worked for Foley Medical and Family Home Medical locally, and at Health Infusion and Coram Health Care on a national level. Mr. McGuire founded mvi HomeCare with Dale Damioli in 1995. Mvi HomeCare, located on Belmont Avenue, is the premier provider of home health care services in northeast Ohio providing home health, hospice, infusion therapy and pharmacy services to patients, families and referral sources in the Valley for the past 23 years.
Kevin is a life-time member of the YSU Alumni Association and a long-time member of the YSU Penguin Club. He retired this year after serving as the President of the Ursuline High School Athletic Booster Club for 22 years. Kevin was enshrined in the Ursuline Athletic Hall of Fame for his contributions to the overall program. He has chaired the Donald E. Foley Sr./Alumni Golf Classic for many years. He has served as a member of the Ursuline Athletic Council. Kevin and his wife Kathy were two of the co-chairs for the Centennial Capital Campaign in 2005. Kevin has been a member of the Youngstown Country Club for over 20 years serving as long-time member of the Board of Trustees and is the immediate past president.
Kevin is married to his classmate, the former Kathleen Brahney. They have four children: Patrick (Class of 1998), James (Class of 2005), Caitlin (Class of 2007) and Sean (Class of 2015). Kevin and Kathy have two grandchildren: Maeve Elizabeth and Owen Patrick McGuire, children of Patrick and Colleen McGuire. Kevin's sisters and their children are also Ursuline graduates: Mary Pat McGuire Foley (Class of 1967) and Peggy McGuire Jenkins (Class of 1970). Kevin and Kathy are proud graduates of the Class of 1976 and take pride in the fact that they were able to send their four children to Ursuline High School.


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Kathrin Kastenmüller
Novel role of toll-like receptor 3, RIG-I and MDA5 in poly (I:C) RNA-induced mesothelial inflammation
Markus Woernle, Matthias Sauter, +7 authors Thomas Sitter
Molecular and Cellular Biochemistry
Viral inflammation and infection of mesothelial cells (MC) are a major problem in several organ systems including pleura, pericardium and peritoneum. Toll-like receptors (TLRs) are an essential part… (More)
Activation of Peroxisome Proliferator-Activated Receptor-Gamma by Glitazones Reduces the Expression and Release of Monocyte Chemoattractant Protein-1 in Human Mesothelial Cells
Matthias Sauter, Kathrin Kastenmüller, +4 authors Thomas Sitter
Mediators of inflammation
Human peritoneal mesothelial cells (MC) play an important role in inflammatory processes of the peritoneal cavity by producing various cytokines and chemokines, such as monocyte chemoattractant… (More)
Circumvention of regulatory CD4(+) T cell activity during cross-priming strongly enhances T cell-mediated immunity.
Antje Heit, Friedemann Gebhardt, +7 authors Kathrin Kastenmüller
European journal of immunology
Immunization with purified antigens is a safe and practical vaccination strategy but is generally unable to induce sustained CD8(+) T cell-mediated protection against intracellular pathogens. Most… (More)
Role of Toll-Like Receptor 3, RIG-I, and MDA5 in the Expression of Mesothelial IL-8 Induced by Viral RNA
Applied biochemistry and biotechnology
Interleukin-8 (IL-8) is a chemokine that has been shown to be a potent chemoattractant for polymorphonuclear neutrophils from the vascular compartment into the pleural space during infectious pleural… (More)
Role of viral induced vascular endothelial growth factor (VEGF) production in pleural effusion and malignant mesothelioma.
Cell biology international
Vascular endothelial growth factor (VEGF) plays a key role in formation of pleural effusions and in tumorigenesis and progression of malignant mesothelioma. Mesothelial cells (MC) express the viral… (More)
Role of viral receptors TLR3, RIG-I and MDA5 in mesothelial tissue-type plasminogen activator and plasminogen activator inhibitor-1 synthesis.
Thrombosis and haemostasis
Tissue-type plasminogen activator (t-PA) and its specific inhibitor plasminogen activator inhibitor-1 (PAI-1) are key mediators in the regulation of fibrin generation and fibrinolysis. Mesothelial… (More)
Activation of Peroxisome Proliferator-Activated Receptor-Gamma by Glitazones Reduces the Expression and Release of Monocyte Chemoattractant Protein-1 in HumanMesothelial Cells
Generation of CD8+ T cell mediated protective immunity upon vaccination with soluble antigen
In times of globalization and the resulting contact to ever-new pathogens, it becomes even more important to understand how exactly protective immunity is induced to be able to generate more potent… (More)


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Ian Lorne Campbell é um historiador de arte, nascido em Stirling,  Escócia, em 1946. Campbell é o autor de um número de livros sobre a arte dos séculos XIV e XV, e um especialista em do período inicial da pintura flamenga; as suas contribuições para o estudo deste período estão a par dos trabalhos de Max Jakob Friedländer e Erwin Panofsky. O seu catálogo de 1998 The Fifteenth Century Netherlandish Paintings tem sido descrito como um "padrão".

Campbell é o curador da National Gallery, em Londres desde 1996. Licenciou-se na Universidade de Edimburgo, e doutorou-se na Universidade de Londres em 1973. Entre 1970 e 1971, leccionou na Universidade de Manchester e na de Cambridge. De 1974 em diante, deu aulas sobre o Renascimento nórdico, no The Courtauld Institute of Art, Universidade de Londres.

Ian Lorne Campbell reside em Londres.

Publicações
 The Sixteenth Century Netherlandish Paintings with French Paintings before 1600, 2014
 Renaissance Faces: Van Eyck to Titian, (with Miguel Falomir, Jennifer Fletcher, Luke Syson), National Gallery, 2011. ISBN 978-1-85709-407-7
 Rogier van der Weyden: 1400-1464. Master of Passions, (with Jan Van der Stock), Leuven: Davidsfonds, 2009. ISBN 978-90-8526-105-6.
 Van Der Weyden, Chaucer Press, 2004
 The Fifteenth Century Netherlandish Paintings. National Gallery, 1998
 Renaissance Portraits; European Portrait-Painting in the 14th, 15th and 16th Centuries, 1990
 Early Flemish Pictures in the Collection of the Queen (The Pictures in the Collection of Her Majesty the Queen), Cambridge University Press, 1985

Historiadores de arte
Nascidos em 1946
Alunos da Universidade de Edimburgo
Naturais de Stirling
Alunos da Universidade de Londres
Professores da Universidade de Manchester
Professores da Universidade de Cambridge

redpajama_set_name: RedPajamaWikipedia


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The Centennial Commander: Reistad visits Brainerd American Legion
For the Centennial Commander, it was something of a homecoming. Well, for Brett Reistad, the official title is National Commander of the American Legion, the highest office in the veterans organization and one--which the moniker alludes to--he to...
The American Legion National Commander Brett Reistad (left) speaks with Dolly Zitur prior to speaking engagements Tuesday, March 12, at Legion Post 255 on 708 Front St. in Brainerd. Gabriel Lagarde / Brainerd Dispatch
By Gabriel D. Lagarde
For the Centennial Commander, it was something of a homecoming.
Well, for Brett Reistad, the official title is National Commander of the American Legion, the highest office in the veterans organization and one-which the moniker alludes to-he took the reins of in the 100th year of the Legion's storied history, a century after the end of World War I.
During a breakfast put on by Legion Post 255 in downtown Brainerd, Reistad fulfilled his role-one part ceremonious and steeped in tradition, the other friendly and grounded in a dry, no-nonsense kind of way. Brainerd was a leg in a statewide tour-which, in and of itself, is a stop in a journey for the Legion's leader through all 50 states, as well as destinations abroad.
"The idea is to connect with the local Legionnaires that I represent. To get a chance to talk with them one on one, to find out what their concerns are, what their issues are," Reistad said when the festivities wound down.
But for the native Virginian-veteran and ex-cop, amateur historian and lover of strawberry shortcake-Tuesday's waffle gathering comes full circle in its own way. The Legion may be celebrating its centennial, but it's been less than six months since Reistad was elected at the national convention in Minneapolis. Since then, it's been a whirlwind, much of it centered around stumping for the social and political interests of American war veterans.
The Minnesota American Legion sports 70,000 members enrolled in nearly 540 posts across the state. Currently, the organization features nearly 2 million members, which renders it the largest organization and advocacy group for wartime service veterans in the country.
Second-class citizens
Reistad lauded bills circulating around Capitol Hill, which would relieve Congress of its authority to dictate who and when war veterans are eligible for membership with the American Legion, and instead grant this authority to the Legion itself through a charter amendment.
"In the past, the dates have been corresponding with what Congress deems war era dates. So you have your World War II, Korean War, Vietnam, Lebanon, Grenada, Desert Storm and post-9/11," Reistad said. "Currently, what we'd like to do is change that to give the Legion authority to accept members who served Dec. 7, 1941, to the present day."
In the meantime, Reistad said turning away deserving veterans simply because they didn't serve during a particular set of dates is a disheartening experience and amounts to treating these former soldiers as "second-class citizens."
Veterans and suicide
Reistad noted about 22 veterans die from suicide each day-an epidemic, he said, the Legion is actively battling against through promoting suicide prevention education, as well as providing resources for veteran mental health. He noted the Legion is partnered with the United States Department of Veterans Affairs in this endeavor.
"I feel for the veterans and their families every time I hear that happens," Reistad said. "I think what we can do is put a focus on that issue, we can find ways to steer those veterans to treatment to stop that from happening. It's a community problem as much as an individual problem."
Blue Water Navy Bill
Reistad noted the American Legion has been advocating for the passage of a bill-dubbed the Blue Water Navy Bill-that would grant the same kinds of protections, benefits and resources for victims of Agent Orange to not only land-based or inland-waterway veterans, but also affected members of the National Coast Guard and Navy just off the coast.
While the bill failed again in December, Reistad noted this isn't the first time the Legion has faced stiff opposition-pointing, in particular, to an independent study the Legion founded in 1989 to study the effects of Agent Orange in the first place. This study, along with lobbying by the Legion, Reistad said, led to a number of bills that aid affected veterans to this day.
So called "blue water veterans," or service members just off the Vietnam coast, but still down wind of the toxic deforestation activities, should not be excluded, he noted, especially when there's plenty of evidence to show detrimental effects as a result.
"That's a big focus right now," he said.
Beyond providing a unique kind of structure and camaraderie indelible to military life, Reistad said, the Legion has a litany of achievements it can look back at, after 100 years, and be proud of. Included in the list, but not exclusive to, the Legion has been instrumental in:
• The creation of the U.S. Department of Veterans Affairs.
• The establishment of the Servicemen's Readjustment Act of 1944, or the G.I. Bill (and its subsequent iterations).
• The enactment of the Agent Orange Act of 1991.
• Veterans preference, or essentially the practice by which the federal government grants military veterans preference in job searches and the recruitment process.
• The establishment of veterans committees in both the U.S. Senate and the U.S. House of representatives.
• The establishment, in part, of the Tomb of the Unknown Soldier at Arlington Cemetery.
Members of the Brainerd American Legion chapter mingle during a ceremonious breakfast the morning of Tuesday, March 12, at Legion Post 255 on 708 Front St. Members of the Legion welcomed National Commander Brett Reistad during the 100th year of the veterans organization. Gabriel Lagarde / Brainerd Dispatch
Related Topics: AMERICAN LEGIONBRAINERD
Mille Lacs Band chief executive encourages emerging leaders in State of the Band address
"Our future depends on a new generation of community leaders to step forward," Melanie Benjamin said.
Crosslake City Council to have emergency meeting
The meeting will be 2 p.m. Wednesday, Jan. 12.
We've redesigned our website to improve your digital news experience
In our ongoing efforts to provide you with the best news experience, the Brainerd Dispatch is excited to announce a newly redesigned website with features tailored to help you easily find your local news, sports, weather and more.
By Matt Sollid
After Moorhead family deaths, Klobuchar and Hoeven push agency on carbon monoxide protection
Minnesota Democrat and North Dakota Republican are seeking more information on a federal agency's efforts to curb carbon monoxide poisoning after a family of 7 died from a buildup of the odorless gas in their Moorhead home last month.


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Een lug is een koppelstuk dat bij fietsen in het frame kan worden toegepast om framebuizen onderling te verbinden.

Geschiedenis
Het gebruik van lugs in fietsframes bestond al in de tweede helft van de 19e eeuw. Reeds die eeuw werd het een veelgebruikte methode om frames te bouwen en tot op de dag van vandaag worden lugs nog op grote schaal toegepast.

Soorten lugs
Diverse soorten lugs kunnen in een fietsframe door de framebouwer zijn gebruikt. Vooral zadellugs en balhoofdlugs worden veel toegepast.

Bij een standaard fietsframe wordt overigens het gedeelte waarin de trapas zich bevindt de bracket genoemd. Indien een koppelstuk in de voorvork is gebruikt spreekt men over een vorkkroon. De buizen van de liggende en staande achtervork hebben onderling een koppelstuk waarin het achterwiel zit gemonteerd: een zogeheten uitvaleinde of pad.

Fabricage- en verbindingsmethodes
Lugs kunnen worden gefabriceerd door een proces van persen uit plaat en vervolgens te lassen. Deze ruwe lugs (blancs) worden in de goedkope frames gebruikt; in duurdere frames zitten gesneden lugs. Een andere veelgebruikte methode om lugs te vervaardigen is door gieten (verloren was/zand).

Bij de framebouw vallen de lug en de framebuis onderling deels over elkaar heen. De meeste lugs zitten uitwendig over de framebuis (buis in lug), maar ook interne lugs (lug in buis) worden wel toegepast. Bij stalen frames worden de lugs met de buizen aan elkaar hard-gesoldeerd met zilver- of messingsoldeer. Aluminium frames met lugs kunnen naast gelijmd tevens zijn geschroefd. Behalve om cosmetische redenen, zijn lugs soms versierd om het toevoegen van soldeer makkelijker te maken en om de overgang van buis naar lug geleidelijker te laten verlopen.

Lugloos

Indien in een frame geen lugs zijn toegepast, wordt ook wel gesproken van een lugloos frame. Bij lugloos bouwen dienen de buizen nauw op elkaar aan te sluiten, maar heeft de framebouwer een grotere vormvrijheid. Gebeurt dit met soldeer dan spreekt men ook wel van braseren; de meeste lugloze frames zijn echter gelast.

Zie ook
Bracket (fiets)
Braze-on
Mannetje (fiets)
Pad (frame)
Vorkkroon

Fietsonderdeel


The Rainbow Mountains of China are Allah Al-Musawir's (swt) paint palette, a geological wonder of the world. These famous Chinese mountains are known for their otherworldly colours that mimic a rainbow painted over the tops of rolling mountains.
This is an excerpt from the print magazine. To subscribe to hibakidz, click here.


text:
Cheney Says Wyoming, Not Washington, Should Decide if the Gray Wolf is an Endangered Species
In the wake of the U.S. Fish and Wildlife Service announcing its plan to review whether the gray wolf should be re-listed under the Endangered Species Act, Congresswoman Liz Cheney has said that Wyoming, not Washington, should be the ones to decide whether that should happen.
Nick Perkins
Groups Ask Court to Restore Protections for US Gray Wolves
The U.S. Fish and Wildlife Service said gray wolves have exceeded goals for recovery.
Wolves Rebound, Delisted. Now, Future up to Voters
The Trump administration on Thursday stripped wolves of government protections across most of the U.S.
Yellowstone Visitor Alert: Biologists Extend Grizzly Captures in Park
Capture operations can include a variety of activities in a variety of areas.
Tom Morton
Lawsuit Filed to Stop Idaho-Wyoming Natural Gas Pipeline
The groups filed the lawsuit Monday against the U.S. Forest Service.
2 Insect Species Classified as Threatened as Glaciers Melt
They are mostly found in steep, remote areas that are hard to reach and away from backcountry trails.
Tribes' Lawyer Slams Wyoming Rep. Cheney's Response to Grizzly Relisting
The U.S. Fish and Wildlife Service formally relisted the grizzly bear on the Endangered Species Act.
Wyo Officials Criticize Federal Judge's Grizzly Decision
The U.S. District Court judge ordered federal protections restored for grizzly bears in the Northern Rocky Mountains.
Susan Burk
Judge Restores Protections for Grizzly Bears, Blocking Hunts
State and federal officials reacted with disappointment.
Administration Seeks Changes to Endangered Species Act
The Trump administration on Thursday proposed ending automatic protections for threatened animals and plants.


Facilities are the basic needs to make a programsuccessful. Facilities includes playgrounds, equipment, gymnasium, hall etc.the achievement of the program aims depends on the available facilities. Typesof facilities are bound to change from place to place; facilities should bedesigned and constructed with one central purpose in view i.e. to saveparticular kind of educational program. Long range planning for physicaleducation facilities of a continuous of anticipating and preparing to meetfacilities needs. Functional facilities are the result of thorough and wellorganized planning.


Challah, Candles & a Beautiful Mikvah In honor of the 37th Anniversary of the founding of Chabad House at Rutgers University, Chabad has recently published a 204 page coffee-table pictorial album. This book is complete with the history of Chabad House, from its humble beginning in a rented room to its present day location in the heart of the Rutgers Campus. Colorful stories and photos depict all aspects of the Chabad House and its outreach activities at Rutgers, and throughout New Jersey.
Forty pounds. That's how much flour Rebbetzin Sarah Goodman and the young Rutgers women who bake with her each Thursday night use. Their beautiful braided challot go not only to the Chabad dining room, dorms, and students' families but also to homes and hospitals throughout New Jersey. Ask anyone who knows her and you'll discover that she is not only nourishing bodies. Rebbetzin Goodman is nourishing minds, souls, and future generations.
Ask her, and the rebbetzin will share that one her most important tasks is raising awareness about the mikvah and myths and truths about the Jewish view of family life and intimacy.
Rebbetzin Goodman often provides tours of Chabad's spa-like mikvah on Thursday nights for the young women who join her for challah baking. Students are usually incredulous to discover the mikvah's luxurious touches that include ambient lighting, soft music, lush plants, spa robes, and varied other amenities.
After a Thursday night that touches on two of the three unique mitzvot for women, challah and mikvah, Rebbetzin Goodman encourages her fellow bakers to arrive for Friday night services a bit early so they can partake of the third mitzvah as well: candle lighting. She explains that these three mitzvot have contributed to the survival of the Jewish people. Within the space of 24 hours, many young women discover a trio of mitzvot that can infuse their lives with sacred meaning.
Looking at it that way, 40 pounds of flour is a great investment!
Three main mitzvot that were especially assigned to woman are challah, mikvah and candle lighting.
All three are symbolically related to the foundation of the Jewish home.
Challah nourishes the body and soul, and relates to thephysical existence of the home.
Mikvah contributes to the couple's atmosphere of holiness,purity and peacemaking at home.
Candle Lighting resembles the spiritual life at home, a life of Torah and mitzvot, since the Torah is likened to the light ofcandles.
A woman has the power of filling her home, the nation and the world with light, love, friendship and peace.


When you've ever before discovered for yourself strolling throughout the seuil of your business someday, and all of a sudden are a pet job supervisor the next moment, then simply this kind of is for you. We all may talk about that within our group or hall, but the clients or perhaps customers are not going to be that comfortable understanding an random project manager is leading their thing. For this reason, we wish to provide you several steps that will help get your project away into a great start and turn you in to an intentional project administrator.
You are your most critical project, hence get planned and all set to start off. Think about what it is you need set up to be prepared.
I've usually found this very essential to own my individual teachers and appearing aboard, right now. Get out somebody who has been at this time there and completed that. Maybe they already have marched the kind of job you are top rated, or perhaps find out the organization. Find out who may head to for the purpose of guidance and who will become a sounding board. Some of the most difficult moments during a job experience to do along with the people. It is critical to have someone provide you target, candid, genuine feedback.
Know just who you happen to be going to head to for the purpose of what on your own team and the organization. Look into the rest within the state, and discover whom in existence on the job has in all probability built and nurtured romantic relationships for a long period – in the enterprise, customers or perhaps your stakeholders. They can certainly assist you in getting things completed and can become leveraged pertaining to different elements.
You may have caused this group and consider you are aware of them, nevertheless really get acquainted with them for a greater level. The simplest way to do that should be to simply just have a talk with all of them. If they will are global, across the world or down the corridor, program the perfect time to uncover their very own perspective. Dialog by simply mobile, or if you happen to end up being regional sit down and visit with them deal with to facial area. You have to know who all they happen to be. What precisely makes these people tick? What are that they really great by? What are they will really poor at? Then, spend time determining just how to complement each different in different areas.
You are the new driver of this job workforce therefore persons are trying to find you to get the guideline. Sit down down and think through what your objectives are and how you want to lead this kind of team and manage this kind of project. In that case, ask the team. What are their beliefs? What do they want right from you? Make certain everyone has learned moving in what the prospects are. Relationships are unsuccessful once prospects happen to be out of allignment.
All of us believe that getting involved offline and online is important. Be involved in building your shed or perhaps institution. Sign up for a LinkedIn group that that appeals to you and get involved in sharing details, asking concerns and getting advice from all over the world. Check into an area project management group or correlation with page and create human relationships with peers generally there. Learning through this career is an offer and consider; they have not just bringing information, several charging giving back.
Set up each of the tools you need, if it's Excel, PowerPoint, project management application and your templates. Having themes set up that you can easily duplicate will allow you begin things quickly. Key phrases to remember because you take your first measures as a project supervisor happen to be mobilize, interact socially and globalize. Once again, the clients will not believe is actually crazy to find out you while the unintentional project administrator; that they want to help you for the reason that the deliberate job manager who are able to mobilize quickly and collaborate with everybody on the group. For even more information go through here wykrzyknik.com.pl .


Intel's new Core i7 chip appears to be off to a good start, outpacing its lower-cost Core i5 counterpart at two major online retailers.
On January 3, microprocessor giant Intel (NASDAQ:INTC) released a new family of computer processors, branded seventh-generation Core, aimed at desktop and notebook personal computers. Among the new chips were three chips targeted explicitly at gamers and personal computer enthusiasts: Core i7 7700K, Core i5 7600K, and Core i3 7350K.
Although the Core i3 7350K isn't widely available yet, the Core i5 and Core i7 models are. The new Core i7 7700K is off to a strong start among those who build and upgrade their own computers, topping the best-selling processor lists on Amazon.com and Newegg.com.
The lower-end 7600K occupies the second-place spot on Newegg's best-sellers list; it's eighth on Amazon's, but Amazon is currently out of stock of those chips, which is likely artificially depressing its ranking on Amazon's list right now (it's updated hourly).
What does this mean for Intel? Let's take a closer look.
One thing that has helped Intel combat declining industrywide personal computer sales has been aggressive segmentation actions designed to convince consumers to buy higher up in its product stack. This means even in a market in which people are buying fewer personal computers than they did last year, they're buying computers packed with more expensive processors than they did before.
This phenomenon hasn't always been enough to completely offset the unit declines, though. In 2015, for example, Intel saw notebook processor shipments plunge 9%, but average selling prices grew just 2%. Desktop processor shipments dropped by 16% in 2015 -- a huge decline -- but average selling prices were up 6%, partially offsetting that decline.
Year to date, Intel is seeing a similar phenomenon in a stronger unit environment: Notebook platform volumes have dropped 1% as average selling prices rose 2% (so in that time, notebook chip revenue for Intel is actually up); desktop platform volumes declined by 5%, partially offset by a 2% increase in average selling prices.
The fact that the $350 7700K seems to be off to a better start than the $250, less powerful 7600K suggests that demand -- at least among those individuals who build and upgrade their own computers -- continues to shift to higher-end chips.
Interestingly, although the 7700K is at the top of the best-seller list, with the 7600K right behind it (at least on Newegg.com) -- suggesting a consumer affinity for higher-end chips -- Intel's high-end desktop chips don't seem to be enjoying anywhere near that level of success.
For example, the Core i7 6800K -- Intel's cheapest six-core desktop processor at $424 -- is way down on Newegg's best-seller list, at position 20. The higher-end six-core, as well as the eight- and ten-core Intel desktop processors (which sell for about $1,100 and $1,650, respectively) are much further down the list.
Part of the problem for Intel, here (aside from the fact that these chips are simply pricier), is that these higher-core-count chips require more expensive motherboards, and memory modules need to be bought in packs of four, rather than packs of two for the mainstream 7700K and 7600K chips.
The high-core-count Intel chips also utilize previous-generation processor architectures and run at slower clock frequencies out of the box, meaning per-core performance on these higher-core-count chips is lower than on the lower-core-count chips.
In other words, for applications that can't take advantage of lots of cores (like most consumer applications), the cheaper 7700K and 7600K chips are simply going to be better solutions -- both in absolute terms (for those workloads) and in terms of performance per dollar.
It would be interesting to see what impact, if any, Intel would see on its desktop chip product mix, particularly when it comes to sales of chips directly to consumers (not through personal computer sales, which represent the bulk of chip sales), if it were more aggressive in driving up the per-core performance of its high-core-count chips.


Lettuce, tomatoes, cucumbers, green peppers, red cabbage, carrot shavings.
Romaine lettuce, croutons, parmesan cheese and Caeser dressing.
Lettuce, tomatoes, cucumbers, green peppers, red cabbage, carrot shavings, olives, pepperoncini peppers and feta cheese.
Lettuce, tomatoes, cucumbers, green peppers, red cabbage, carrot shavings, egg, ham, turkey, American Cheese and American Swiss.


The franchise was known as the Denver Rockets when it entered the American Basketball Association in 1967. The same year, an NBA expansion franchise named the San Diego (now Houston) Rockets began play.
After seven seasons, and with entry into the NBA looming, Denver team officials renamed their club. Nuggets refers to the 19th century mining boom in Colorado, when people rushed to the area, hoping to make their fortunes by panning for gold and silver nuggets.
It also refers to a team from Denver that played one season (1949-50) in the NBA.


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Özüdoğru is a Turkish surname formed by the combination of the two Turkish words öz ("gist; kernel") and doğru ("true; right") and may refer to:

 Abdurrahim Özüdoğru (1952–2001), Turkish German machinist and murder victim
 Şefik Avni Özüdoğru (1884–1960), officer of the Ottoman Army and of the Turkish Army
 Talat Avni Özüdoğru (1880–1939), military officer of the Ottoman Army

References

Turkish-language surnames


text:
Kidney Disease in HIV: Moving beyond HIV-Associated Nephropathy : Journal of the American Society of Nephrology
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November 2017 - Volume 28 - Issue 11
Thought you might appreciate this item(s) I saw in Journal of the American Society of Nephrology.
Up Front Matters: Brief Reviews
Kidney Disease in HIV: Moving beyond HIV-Associated Nephropathy
Jotwani, Vasantha*,†; Atta, Mohamed G.‡; Estrella, Michelle M.*,†
*Kidney Health Research Collaborative, Department of Medicine, University of California, San Francisco, California;
†Department of Medicine, San Francisco Veterans Affairs Health Care System, San Francisco, California; and
‡Department of Medicine, Johns Hopkins School of Medicine, Baltimore, Maryland
Correspondence: Dr. Michelle M. Estrella, Kidney Health Research Collaborative, Department of Medicine, University of California, San Francisco and San Francisco Veterans Affairs Health Care System, 4150 Clement Street, 111A1, San Francisco, CA 94121. Email: [email protected]
Journal of the American Society of Nephrology 28(11):p 3142-3154, November 2017. | DOI: 10.1681/ASN.2017040468
In developed countries, remarkable advances in antiretroviral therapy have transformed HIV infection into a chronic condition. As a result, HIV-associated nephropathy, the classic HIV-driven kidney lesion among individuals of African descent, has largely disappeared in these regions. However, HIV-positive blacks continue to have much higher rates of ESRD than HIV-positive whites, which could be attributed to the APOL1 renal risk variants. Additionally, HIV-positive individuals face adverse consequences beyond HIV itself, including traditional risk factors for CKD and nephrotoxic effects of antiretroviral therapy. Concerns for nephrotoxicity also extend to HIV-negative individuals using tenofovir disoproxil fumarate–based pre-exposure prophylaxis for the prevention of HIV infection. Therefore, CKD remains an important comorbid condition in the HIV-positive population and an emerging concern among HIV-negative persons receiving pre-exposure prophylaxis. With the improved longevity of HIV-positive individuals, a kidney transplant has become a viable option for many who have progressed to ESRD. Herein, we review the growing knowledge regarding the APOL1 renal risk variants in the context of HIV infection, antiretroviral therapy–related nephrotoxicity, and developments in kidney transplantation among HIV-positive individuals.
Copyright © 2017 by the American Society of Nephrology
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Journal of the American Society of Nephrology28(11):3142-3154, November 2017.
HIV nephropathy , Apolipoprotein L1 , chronic kidney disease
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Other articles in this journal by Vasantha Jotwani
800-638-3030 (within the USA)
301-223-2300 (outside of the USA)


Any donations made to The Auckland Women's Centre contribute to the empowerment and wellbeing of women and their whānau/families. The donations also contribute directly in assisting the long term sustainability of your Women's Centre.
Every bit counts and we greatly appreciate any donation made.
Your donation will be made to Auckland Women's Centre. All transactions will be billed in New Zealand dollars. Please read our return and refund policy here.


Beautiful split level home brings all the comforts of a getaway vacation. Fully furnished home with linen and kitchen utilities provided. Enjoy the evenings looking at the bright havasu stars. Large patio with BBQ and patio furniture provided. Master bedroom has large walk in closet, nice sized bedrooms. Home was built in 2003 and has reverse osmosis. Only minutes away from golfing, boating, and casinos. HDTV Smart TVs with internet and cable services.
Hi, this is our vacation home during the late spring through early fall months. We've had great pleasure in renting the home to couples seeking sun, comfort, and relaxation during the winter months. We bought the home in 2003 and take great pride in maintaining it well over the last 14 years. We love the hospitality aspect of opening our home to others and strive to provide a relaxing atmosphere and keeping everything running as smooth as possible.
This property is fairly new with new appliances. It's located near markets, golf course, and lakes.
The home offers a split level design which provides privacy for the master bedroom. Cute front porch for evening star gazing and very nice backyard patio for gatherings.
New side by side refrigerator. Another side by side refrigerator in the garage if needed.
Central A/C, R/O Water Softener, all appliances provided, indoor laundry room, and cable provided. Home is tiled in most rooms with exception to bedrooms and living room. garage available to you. Boat parking available on property.
Golf course and lake nearby, local market within 2 miles. Lot's of eateries and local movie theater nearby.
Within 6 miles to London Bridge.


The characterisation of the low-mass planets: super-Earths and mini-Neptunes. The former are planets that are mostly solid, either rocky or icy in composition, while the latter posses also a volatile envelope. My goal is to determine if planets with masses between 1-15 Earth-masses are scaled up versions of Earth, or scaled-down versions of Neptune in terms of their composition, evolution and physical properties.


A Merry Xmas to you Werk and your family, as well as all the members and contributors of this forum!!
A happy New Year in advance, wishing everyone all the best in their projects, personal and professional as well as weather related !
I'd also like to wish everyone in forum Merry Christmas and happy New Year and especially to Werk_AG and his family!
I look forward to new ideas from forum members and further cooperation in putting them into practice.
And everyone also good health!
A very Merry Christmas to all from down here too!
I hope everyone has had a fantastic year and the nest year will be even better!
Thank-you Werk for the ongoing support and development of WeatherDuino. A very Merry Christmas and Happy New year to you and everyone on the forum.
A very Merry Christmas and Happy New Year to everyone involved in this wonderful project!
Current time: 26-04-2019, 08:50 Powered By MyBB, © 2002-2019 MyBB Group.


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Q: Payment Method Tab customize OpenCart Is there any solution to customize payment method tab in opencart.
Basically what i needed is on selecting a payment method, options related to that particular method bind below that selected payment method.
I want it to be separated ,like i don't want to customize the core files.

A: Opencart uses php MVC framework, the payment method controller files are in catalog/controller/extension/payment folder and view files are inside the catalog/view/theme/default/template/extension/payment folders.
You can customize these two files for desired behavior. If you don't want to edit core files, you may need to require OCMOD knowledge, that is an xml file created according to customization and then imported through extension installer.
You can learn about ocmod system https://github.com/opencart/opencart/wiki/Modification-System

redpajama_set_name: RedPajamaStackExchange


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Q: Explanation of [featured] tag auto removing by Community user Recently I learned that the featured tag can be auto removed by the Community user.
When featured tag is auto removed by Community, there is no edit summary
I would like to know how this feature works. I.e. what are conditions that lead to removing the tag by Community from the question (regular timeout/creation of new questions with [featured] tag/...) ?