Alrighty, still getting used to the culture.
@Baavgai, so I tried testing that code out in a console app and I got this message from the debugger, what should I do?
Show your code. How did you implement the class Val?
Note, I only gave the header, the body is an exercise for you.
Well I haven't really implemented it per se, basically just copied your code to see if I could get it working in a Win32 console program as I usually test concepts in command line instead of windows forms. I think I need to do some tutorials today on implementing classes. I will be back after I get a little more familiar with classes. I added your code to a .cpp item not a header though. I'm not using a header because for this test because I usually just compile a lone .cpp file when I'm doing command line apps. Let me do some research on classes and report back. Thanks again!
Curious - how do you read that error? White on turquoise is not really conducive to reading.. like white on yellow.
I have the hue adjusted on my video adapter. There are two screens and I offset the hue on one so that on my programming screen light blue is light purple and the brightness is turned down so it's easier to read than it appears there.
That seems.. odd. Why would you want to misrepresent colors? Why not just use a different default highlight color?
He's likely running f.lux. I've started using it to keep from waking my kids up while I use the dual monitor.
OK so I'm learning about classes, I see where you're going with this. So basically you've created a class that will keep the values for the integers within the specified boundaries? I'm still going to have to figure out why it's giving that message but at least I now understand what this class thing is doing.
Please forgive me, I've only been programming in C++ in my free time (which isn't much) and the only other programming language that I know is TI Basic (which is far simpler for trigonometric functions and input/output) so I'm still getting used to the complexities and intricacies of C++.
I'm at work, we have windows 10 here, windows 10 is extremely boring looking. I use the hue to spice up the interface a bit because when I was kid we used to have gradient title bars in windows 98 and it made the OS less BORING.
Did you try playing with these settings?
Anyway other than the new flat "Metro" UI making a statement about departure from older versions of Windows, it actually also has the side effect of being much more energy efficient because a lot less CPU/GPU power is needed to render screen. This was a big boost in helping the battery life for Windows laptops and tablets. Of course, if you have a $1500 gaming video card on your desktop, it pretty much underutilized even if most of Windows 10 uses DirectDraw.
Enough offtopic from me, though.
OP: baavgai's class is such that when you instantiate an object of it, you give it a starting value, and min and max values. The object stores those values for later use. You probably should make sure that the value is in the min...max range, BUT, depending on what you want - you may even let the starting value be lesser than min, or larger than max - you'd just have to take care off appropriately setting the starting "direction" of the step.
// 1, 4, 7, 10, ...?
Xupicor, NICE!!!!! TY! I'm going to give this a shot. Be back in a second. Appreciate the help.
Skydiver, yes I changed that but the personalization options that have been in windows since 98 are all gone as of Win10. I understand what you're saying about the resource usage but that's not a good reason to remove features IMO. They should still be present, they're in Win7 you just have to switch to the classic theme but you can't do that in the latest release.
I remember being on the Win8 team when the perf team revealed the results of their testing for Aero UI vs. Metro UI. The difference was more than double in terms of watts used on Intel processors. It was even more dramatic for Atom processors. Since at the time, there was a company wide drive to be more power usage aware, the die was cast.


The pin in the map is the location of Sri Sai Ram Medical & General Stores. Please use the arrows to scroll in upto 8 possible directions. You can also zoom out using the buttons on top.
Move from Chatri towards Fish Market, in about 75 yards, on the right side of the road, you will find the address.
Move from Fish Market towards Chatri, in about 75 yards, on the left side of the road, you will find the address.
There are no events at Sri Sai Ram Medical & General Stores scheduled currently.
fullhyd.com has 700,000+ monthly visits. Tell Hyderabad what you feel about Sri Sai Ram Medical & General Stores!


text:
'Not duty of government to bail ADCs from financial crunch': Meghalaya Deputy CM
Stating that the Government cannot provide any kind of financial assistance to help the ADCs in the payment of the salaries, he said that it is the job of the District councils to pay the salaries from its own resources.
Meghalaya Deputy Chief Minister Prestone Tynsong. (File Photo)
Meghalaya Deputy Minister, Prestone Tynsong has clarified that it is not the duty of the State Government to bail out the three Autonomous District Councils (ADCs) who are facing severe financial crunch.
"The ADCs are separate entities and it is not under the State Government. As per agreement, which was arrived long time back, the responsibility of the government was to release the outstanding dues of the share from royalties on the mineral sources to the three ADCs," Tynsong told reporters here today.
The Deputy CM also informed that the Government had recently released an amount of ₹ 45 crore from which was sanctioned by the 15th Finance Commission under the special plan assistance.
Tynsong stated that out of the ₹ 45 crore which was released, the total amount of funds which was allocated to the three ADCs include KHADC (₹ 20.47 crore), GHADC (₹ 18.20 crore) and JHADC (₹ 6.82 crore).
Earlier, the District Council Affairs Minister, Lahkmen Rymbui had stated that the funds which were released are meant for various developmental activities as per plans and estimates proposed by the three ADCs.
(Edited by Christopher Gatphoh)
TNT-The Northeast Today news
Northeast India
Autonomous District Councils
TNT-The Northeast Today

redpajama_set_name: RedPajamaCommonCrawl


text:
University of Central Florida psychology doctoral student Julia Wright agrees, noting that we show others how we want to be treated in the way we conduct ourselves and the way we dress. As an older graduate student returning to school after a 25-year career as a product design engineer, Wright notes that dressing appropriately is more important than many students think.
"You should not look like you just rolled out of bed or that you're ready to go play volleyball at the beach," she says.
It's also about being engaged in the program. "The people I
hear complain about being treated fairly are those who, when
the professor is lecturing or they're part of a group discussion,
are sitting there surfing the web on their laptops or texting
people on their cellphones."
Gutierrez urges students to treat graduate school as their
first real entrance into the job market. "People who dress
appropriately, who interact with others appropriately, and who
carry themselves as professionals are going to get the respect
professionals ought to receive," he says.
Believe in yourself. Have confidence in your capacity because people can see that, Gutierrez says. But also understand that you don't have to know everything to feel and be competent.
"Asking someone with more experience for help is never a bad thing," he notes. "In fact, it demonstrates maturity."
Speak up. When someone implies that you're too young
or inexperienced, correct them. Point to all you've done to
get where you are in your career so far, the research you've
completed, the publications you've been involved with, even if
you weren't recognized as a co-author, and the experience you
do have with the field of psychology.
"I think if we all asserted ourselves more — in a respectful way, of course — we could really change people's views," Lima says. "Our silence endorses the status quo."
Recognize that it's not you. Kraha says it's important to keep in mind that the disrespect or unfair treatment you may experience is not really about you as a person or what you can and will accomplish. It often stems from a lack of understanding or awareness.
"It always helps me to remember that," she says. "What they're saying isn't a reflection on you, it's a reflection on who they are and where they are in their lives."
Become an advocate. Gutierrez says it's never too early to get involved in activism. As psychologists and psychology students, we know too much about human behavior not to get involved in advocating for political or social or institutional changes. It can also help you learn more about your institution — and can leave you feeling more empowered.
"I'm not saying that everyone has to go out and form a labor union, but if you don't want to feel taken advantage of as a student, get involved in the system and do something about it," he says. n
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text:
Home Celebrities News 'Is this something that we have just realised?,' asks Sushmita Sen on...
'Is this something that we have just realised?,' asks Sushmita Sen on the existence of nepotism in Bollywood
The former Miss Universe made a career in Bollywood on her own in 2000s with movies such as Biwi No 1, Aankhen, Filhaal, Samay, Maine Pyaar Kyun Kiya and Main Hoon Na but decided to take a break from acting to focus on her health and raising her daughters Renee and Alisah.
Her performance in Aankhen, Filhaal and Samay received critical praise but the films did not do well at the box office at the time of their release.
"I always believe I am a satellite hit because whatever work I did when it came on satellite, it became a hit and people started applauding the performance. But back then, when it was in the theatres, it didn't work," the actor told PTI in an interview.
Sushmita Sen, 44, believes what kept her strong during those years was a faith in her abilities.
"I define my success, I acknowledge my failures but I also acknowledge that I haven't failed, my attempts have. There is a big difference. When people don't know how to differentiate between the two, everybody piles on with the insecurity of being called a failure. That is a very big mistake that people allow others to make on their behalf".
The actor says she is "open to criticism" and one can review her "badly" with "some sugar and salt" but she will continue to focus on her work and try to give her best.
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text:
Kristen Stewart's mom shooting a transgender prison drama
by Kim Grundy
Kim Grundy
http://twitter.com/KimGrundy
Kim's Most Recent Stories
These Angelic Baby Names Are Perfect for Your (Let's Hope) Little Angel
Top Stretch Mark Creams Moms Swear by During Pregnancy
These Boy-Girl Twin Names Are the Perfect Match — & Twice the Cuteness
July 26, 2011 at 5:35pm PM EDT
Kristen Stewart isn't the only one in her family in the Hollywood biz. Her mother, Jules Stewart, is directing a transgender prison drama that Kristen was supposed to star in… that is, until she dropped out.
Related story Kristen Stewart's New Princess Diana Movie Is the One You've Been Waiting For
Kristen Stewart's mom, Jules Stewart, is gearing up to direct her first indie film called K-11, about a transsexual prisoner with autism. Kristen was actually going to play the lead role until the busy Twilight actress had to drop out due to sheduling conflicts. Her moms is still keeping the family involved, casting her brother Cameron (pictured below with Kristen in 2008) in small role in the film.
"It's just one of those things where you try and get a movie off the ground that's small," Kristen Stewart told MTV about the film. "I don't know [whether it will get made]. Like, right now it's harder [to get indie films made]. It just never got legs. I still really hope to do it."
Between the Twilight films and starring in Snow White and the Huntsman, Stewart apparently does not have time to make it.
In fact, Kristen is not the only Twilight star that recently backed out of the film. Nikki Reed dropped out of the film after telling MTV in November that she and Kristen have been involved with the movie since 2008. "It's about a little-known section of the men's county jail. I'm playing a man, and Kristen's playing a boy," Reed said.
Even though Kristen and Nikki are no longer involved in the film, it will be interesting to see Kristen's older brother, Cameron, making his film debut, even if his role is a small part. The film will star Goran Visnjic (ER), D.B. Sweeney (Hard Ball), Kate del Castillo and Portia Doubleday (Youth in Revolt), with supporting actors Jason Mewes and Tommy "Tiny" Lister.


text:
\subsection{Deligne's category  $\mathop{\underline{\smash{\mathrm{Rep}}}}(GL_t)$}
From the perspective of the
Killing-Cartan-Weyl classification of simple Lie algebras
and their representation theory in terms of highest weights, root systems, Weyl groups and associated combinatorics
it is not so easy to
understand the extreme uniformity in the representation theory
that exists among different Lie groups. With possible application
to a universal Chern-Simons type knot invariant in mind, P. Vogel \cite{Vog1999}
tried to define a universal Lie algebra, $\mathfrak{g}(\alpha:\beta:\gamma)$
depending on three  {\em Vogel parameters} that determine a point
$(\alpha:\beta:\gamma)$ in the {\em Vogel plane}, in which all simple
Lie algebras find their place. The dimension of the Lie algebra
$\mathfrak{g}(\alpha:\beta:\gamma)$ is given by a universal rational expression
\begin{equation*}
\dim \mathfrak{g}(\alpha:\beta:\gamma)\, = \, \frac{(\alpha-2t)(\beta-2t)(\gamma-2t)}{\alpha\beta\gamma},\qquad
t=\alpha+\beta+\gamma ,
\end{equation*} and similar universal rational formulas can be
given for the dimensions of irreducible constituents of $S^2\mathfrak{g}, S^3\mathfrak{g}$ and
$S^4\mathfrak{g}$. Although the current status of Vogel's suggestions is unclear to us,
these ideas have led to many interesting developments, such as the discovery of
$E_{7\frac{1}{2}}$ by Landsberg and Manivel,
\cite{LM2002}, \cite{LM2004}, \cite{LM2006}, \cite{LM2006a},    \cite{LM2006a}.

In order to interpolate within the classical $A,B,C,D$ series of Lie algebras,
Deligne has defined $\otimes$-categories
\[ \mathop{\underline{\smash{\mathrm{Rep}}}}(GL_t),\;\; \mathop{\underline{\smash{\mathrm{Rep}}}}(O_t), \]
where $t$ is a parameter that can take on any complex value.
(The category $\mathop{\underline{\smash{\mathrm{Rep}}}}(Sp_{2t})$
 is usually not discussed as it can be
expressed easily in terms of the category $\mathop{\underline{\smash{\mathrm{Rep}}}}(O_T)$ with $T=-2t$.)
If $n$ is an
integer, there are natural surjective functors
\[\mathop{\underline{\smash{\mathrm{Rep}}}}(GL_n) \to \mathop{\mathrm{Rep}}(GL_n)\]
In the tannakian setup one would attempt to reconstruct a group $G$ from its
$\otimes$-category of representations $\mathop{\mathrm{Rep}}(G)$ using a fibre functor to
the $\otimes$-category $Vect$ of vector spaces, but Deligne's category has no fibre functor and is not tannakian, or, in general, even abelian. (However, when $t$ is not an integer, the category \emph{is}
abelian semisimple.)

According to the axioms, in an arbitrary rigid $\otimes$-category $\mathcal{R}$ there exist a unit object~${\bf 1}$ and
canonical evaluation and coevaluation morphisms
\[ \epsilon: V \otimes V^* \to {\bf 1},\qquad \delta: {\bf 1} \to V \otimes V^*\]
so that we can assign to any object a dimension by setting
\[ \dim V =\epsilon \circ \delta  \in \mathop{\mathrm{End}}({\bf 1}) \in \mathbb{C}. \]

A simple diagrammatic description of $\mathop{\underline{\smash{\mathrm{Rep}}}}(GL_t)$ can be found in
\cite{CW2012}. One first constructs a skeletal category ${\mathop{\underline{\smash{\mathrm{Rep}}}}\,}_0(GL_t)$,
whose objects are words in the alphabet $\{\bullet, \circ\}$. The letter
$\bullet$ corresponds to the fundamental representation $V$ of $GL_t$,
$\circ$ to its dual $V^*$. A~$\otimes$-structure is induced by concatenation
of words. The space of morphisms between two such words is the $\mathbb{C}$-span of
a set of admissible graphs, with vertices the circles and dots of the two
words.  Such an admissible graph consists of edges between the letters of
the two words. Each letter is contained in one edge. Such an edge connects
different letters of the same word or the same letter if the words are
different.
$$\vcenter{ \xymatrix{
\bullet \ar@/_2ex/@{-}[rr] & \bullet \ar@{-}[ld] & \circ & \circ \ar@{-}[d] \\
\bullet \ar@{-}[rrd] & \circ  \ar@/^/@{-}[r] \ar@/_/@{-}[r]& \bullet & \circ \ar@{-}[lld] \\
		& \circ & \bullet & \\
} }
= t \cdot
\left( \vcenter{ \xymatrix{\bullet \ar@/_2ex/@{-}[rr] & \bullet \ar@{-}[ddr] & \circ & \circ \ar@{-}[ddll] \\
 &  &  \\
		& \circ & \bullet & \\
}} \right) $$
The composition is juxtaposition of the two graphs, followed by
the elimination of loops, which results in a factor $t$.\\

Deligne's
category is now obtained by first forming its additive hull by introducing
formally direct sums  and then passing to the
Karoubian hull, i.e. forming a category of pairs $(W,e)$, consisting of
an object together with an idempotent:
\[\mathop{\underline{\smash{\mathrm{Rep}}}} (GL_t) =({\mathop{\underline{\smash{\mathrm{Rep}}}}\,}_0(GL_t)^{\text{add}})^\text{Karoubi}. \]

\bf Example. \rm  Consider the word $\bullet \bullet$ and
the morphisms $\mathrm{Id}$ and $\mathrm{Swap}$ with the obvious meaning.
One then can put
\[ S^2V=(\bullet \bullet, s), \;\;\wedge^2 V=(\bullet\bullet, a),\]
where
\[ s=\frac{1}{2}(\mathrm{Id}+\mathrm{Swap}),\;\;a=\frac{1}{2}(\mathrm{Id}-\mathrm{Swap})\]
so that in $\mathop{\underline{\smash{\mathrm{Rep}}}}(Gl_t)$ one has:
\[ V \otimes V=(\bullet \bullet ,Id)=S^2V \oplus \wedge^2V,\]
which upon taking dimensions is the identity
\[  t^2 = \frac{t(t+1)}{2}+\frac{t(t-1)}{2} .\]

\subsection{`Spaces of sections' as objects in Deligne's category and the beta integral.}
As above, we assume that $n$ is a natural number. Write $t=N+1$ and let $V_t=V$ be the fundamental object of $\mathop{\underline{\smash{\mathrm{Rep}}}}(GL_t)$ so that
$\dim V_t=t$. We do not define the projective space $\P =\P^N$,
but we can pretend that, in the sense of Deligne, the space of global sections is
\[ H(\mathcal{O}_{\P}(n)) :=\mathop{\mathrm{Sym}^n}(V_t^*) \in \mathop{\underline{\smash{\mathrm{Rep}}}}(GL_t) .\]
Its dimension is then, as expected
\begin{equation}
\chi(\mathcal{O}_{\P}(n)) :=\dim H (\mathcal{O}_{\P}(n))={N+n \choose n} \label{chi-interpret},
\end{equation}
(interpreted in the obvious way as a polynomial
in $N$ if $N\not\in\mathbb{Z}$),
so that e.g.
\[\chi(\mathcal{O}_{\P^{1/2}}(2))=\frac{3}{8}.\]
The Poincar\'e series
\[P(y):=\sum_{n=0}^{\infty} \chi(\mathcal{O}_{\P}(n)) y^n =\frac{1}{(1-y)^{N+1}},\]
which is consistent with the idea that $\dim V_t = N+1$.

\medskip
Returning to the question posed at the beginning,
`is there a way to extend the interpolation of $\chi$
individually to the Chern and the Todd ingredients?', we reason as
follows. If $X$ is a smooth projective $n$-dimensional variety, and $E$ a vector
bundle on $X$, then the Euler characteristic
\[\chi(X,E):=\sum_{i=0}^n (-1)^i\dim H^i(X,E)\]
can be expressed in terms of characteristic numbers
\[\chi(X,E)=\int_X \mathop{\mathrm{ch}}(E) \cdot \mathop{\mathrm{td}}(X) . \]
Here the integral in the right hand side is usually
 interpreted
as resulting from evaluating the cap product with the fundamental class $[X]$
on the cohomology algebra $H^*(X)$, and the Chern character and Todd class
are defined in terms of the Chern roots $x_i$ of $E$ and $y_i$ of $TX$:
\[\mathop{\mathrm{ch}}(E)=\sum_{i=1}^r e^{x_i}\,, \qquad \mathop{\mathrm{td}}(X)=\prod_{i=1}^n \frac{y_i}{1-e^{-y_i}} .\]
The cohomology ring of an $n$-dimensional projective space is
a truncated polynomial ring:
\[H^*(\P^N)=\mathbb{Z}[\xi]/(\xi^{N+1})\,, \qquad\xi=c_1(\mathcal{O}(1)),\]
and it is not directly clear how to make sense of this if $N$ is not an
integer. Our tactic will be  to drop the relation
\[\xi^{N+1}=0\]
altogether, thinking instead of $\mathbb{Z}[\xi]$  as a Verma module over the  $sl_2$
of the Lefschetz theory, and replacing taking the  cap product
with integration.
As we will be integrating meromorphic functions in $\xi$,
the polynomial ring is too small, and we put
\[ \hat{H}(\P) :=\mathbb{Z}[[s]] \supset \mathbb{Z}[s] .\]
One has
\[ \chi(\mathcal{O}(n))=e^{n\xi}\,, \qquad \mathop{\mathrm{td}}(\P)=\left(\frac{\xi}{1-e^{-\xi}}\right)^{N+1}, \]
so Hirzebruch-Riemann-Roch reads
\[\chi(\mathcal{O}(n))=\left[e^{n\xi} \left(\frac{\xi}{1-e^{-\xi}}\right)^{N+1}\right]_N\]
where $[...]_N$ is the coefficient at $\xi^N$ in a series.
This can be expressed analytically as a residue integral
along a small circle around the origin:
\begin{equation*}
\chi(\mathcal{O}(n))=\frac{1}{2\pi i}\oint e^{n \xi}\left(\frac{\xi}{1-e^{-\xi}}\right)^{N+1}\frac{d\xi}{\xi^{N+1}} .
\end{equation*}
As it stands, it cannot be extended to non-integer
$N$ since the factor $(1- e^{-\xi})^{-N-1}$ is not univalued on the circle.  The usual way to adapt it is to  consider, for $n \ge 0$, the integral along the   path
going from $- \infty - i \varepsilon$ to $ - i \varepsilon$, making a half--turn round the origin and going back, and choosing the standard branch of the logarithm.   Because of the change in the argument this integral is equal to
\begin{equation*}
J(N,n) =
\frac{e^{2 \pi i (N+1)}-1}{2 \pi i}
\int_{-\infty}^0 \frac{e^{n \xi}}{(1-e^{-\xi})^{N+1}}
d \xi ,
\end{equation*}
or, after the substitution $s=e^{\xi}$,
\begin{equation*}
J(N,n) =
\frac{e^{2 \pi i (N+1)}-1}{2 \pi i}
\int_0^1 s^{n-1} (1-1/s)^{-N-1} ds
=
\frac{\sin \pi (N+1)}{ \pi }
\int_0^1 s^{n+N} (1-s)^{-N-1} ds .
\end{equation*}
Using Euler's formulas
\begin{equation}
\Gamma(x)\Gamma(1-x) =\frac{\pi}{\sin \pi x} \,,
\label{gamma-one-minus-argument}
\end{equation}
\begin{equation}
\int_0^1 s^{\alpha-1}(1-s)^{\beta-1} ds = \frac{\Gamma(\alpha)\Gamma(\beta)}{\Gamma(\alpha+\beta)} \,,
\label{beta-integral}
\end{equation}
and
\begin{equation*}
\frac{\Gamma(N+n+1)}{\Gamma(n+1) \Gamma(N+1)}
=
{N+n \choose n} \,,
\end{equation*}
we arrive at a version of RRH `with integrals':

\medskip

\noindent \bf Proposition 1. \rm Let $n \in \mathbb{N}$. Assume $\mathop{\mathrm{Re}} N  < 0, \, N \notin \mathbb{Z}$. Interpret the Euler characteristic of~$\P ^N$ via formula \eqref{chi-interpret}. Then
\begin{equation*} \label{little-propo}
\chi_\P(\O (n)) = \frac{e^{2 \pi i (N+1)}-1}{2 \pi i}
\int_{-\infty}^0 \frac{e^{n \xi}}{(1-e^{-\xi})^{N+1}}
d \xi .
\end{equation*}
\qed

\bigskip

\medskip

\subsection{The grassmannian and the Selberg integral.} For $\P^N$, we ended up with the beta function, a one-dimensional integral, as the cohomology ring
is generated by a single class~$\xi$. In the cases  where the cohomology ring is generated
by $k$ elements, for example the grassmannian $G(k,N+k)$,
we would like to see a $k$-dimensional integral appear in a natural way.
For $N \in \mathbb{N}$ the cohomology ring of the grassmannian $\mathbb{G}:=G(k,N+k)$
is given by
\[H^*(G(k,N+k))=\mathbb{C}[s_1,s_2,\ldots,s_k]/(q_{N+1},q_{N+2}, \dots,     q_{N+k}),\]
where the $s_i$ are the Chern classes of the universal rank $k$ sub-bundle
and $q_i=c_i(Q)$ are formally the Chern classes of the universal quotient bundle $Q$ (so that the generating series of $q$'s is inverse to that of $s$'s).
In the same vein as before, we set:
\begin{equation}
\hat{H}^*(\mathbb{G}):=\mathbb{C}[[s_1,s_2,\ldots,s_k]]=\mathbb{C}[[x_1,x_2,\ldots,x_k]]^{S_k} \label{drop-rel}
\end{equation}
by dropping the relations. A $\mathbb{C}$-basis of this ring
given by the Schur polynomials
\[\sigma_{\lambda} :=\frac{\det(x_i^{\lambda_j+k-j})}{\det(x_i^{k-j})}\]
where $\lambda=(\lambda_1,\lambda_2,\ldots,\lambda_k)$
is an arbitrary Young diagram with at most $k$ rows.
There is a Satake--type map for the extended cohomology:
\[ \mathrm{Sat}: \hat{H}(\mathbb{G}) \to \wedge^k \hat{H}(\P) \]
obtained from the Young diagram by `wedging its rows':
\[\sigma_{\lambda} \mapsto  s^{\lambda_1+k-1} \wedge s^{\lambda_2+k-2}\wedge \ldots \wedge s^{\lambda_k-1}. \]
We are therefore seeking an expression for the values of the Hilbert polynomial of $G(k,N)$ in terms of a $k$--dimensional integral of the beta type involving $k$--wedging.

Euler's beta integral
\eqref{beta-integral}
has several generalizations.  Selberg introduced \cite{Selberg1944}
an integral \cite{FW2008} over the $k$-dimensional cube
\begin{equation*}
S(\alpha, \beta,\gamma, k):=\int_0^1\ldots\int_0^1 (s_1 s_2\ldots s_k)^{\alpha-1}((1-s_1)(1-s_2)\ldots(1-s_k))^{\beta-1}\Delta(s)^{2\gamma} ds_1ds_2\ldots ds_k
\end{equation*}
where
\[ \Delta(s)=\Delta(s_1,s_2,\ldots,s_k)=\prod_{i <j} (s_i-s_j) ,\]
and showed that it admits meromorphic continuation, which
we will also denote by $S$.

\medskip
\noindent {\bf Proposition 2.}  For $k \in \mathbb{N},\,  n \in \mathbb{Z}_+$, let $\chi(\mathcal{O}_{\mathbb{G}}(n))$
denote the result of interpolating  the polynomial function $\chi(\mathcal{O}_{G (k,k+N)}(n))$  of the argument
$N \in \mathbb{N}$ to $\mathbb{C}$.
  One has
\begin{equation*}
\chi(\mathcal{O}_{\mathbb{G}}(n))= \frac{(-1)^{k(k-1)/2}}{k!}\left( \frac{\sin \pi(N+1)}{\pi}\right)^k S(n+N+1,-N-k+1;1,k) .
\end{equation*} \rm
{\sc Proof.} The shortest (but not the most transparent) way to see this is to use the expressions for the LHS and the RHS in terms of the product of gamma factors found by Littlewood and Selberg respectively. By Selberg,
\begin{equation}
 S(\alpha,\beta,\gamma,k)=\prod_{i=0}^{k-1} \frac{\Gamma(\alpha+i\gamma)\Gamma(\beta+i\gamma)\Gamma(1+(i+1)\gamma)}
{\Gamma(\alpha+\beta+(k+i-1)\gamma) \Gamma(1+\gamma)} \label{Selberg-formula}.
\end{equation}
By Littlewood \cite{Lit1942}, for $N \in \mathbb{Z}_{>0}$ one has
\begin{equation*}
 \chi(\mathcal{O}_{G(k,k+N)}(n)) =\frac{{N+n \choose n} {N+n+1 \choose n+1} \ldots {N+n+(k-1) \choose n+(k-1)}}{
{N \choose 0} {N+1 \choose 1} \ldots {N+(k-1) \choose (k-1)}},
\end{equation*}
where there are $k$ factors at the top and the bottom.
Rearranging the terms in the RHS of \eqref{Selberg-formula} and using
\eqref{gamma-one-minus-argument},
we bring the $\Gamma$-factors that involve $\beta$ to the denominator in order to form the binomial coefficients at the expense of the sine factor.
 \qed

\bigskip
As an example, for $k=2$ and
$N=-1/2$, we get
the Hilbert series
\[ \sum_{k=0}^\infty \chi(\mathcal{O}_{G(2,3/2)}(n)) \, y^n = 1+6\, \frac{t}{16} +60\left(\frac{t}{16}\right)^2 + 700 \left(\frac{t}{16}
\right)^3+8820 \left(\frac{t}{16}
\right)^4  +\ldots
\]
which is no longer algebraic, but can be expressed in terms of elliptic functions.

More generally, one can consider a Selberg--type integral
with an arbitrary symmetric function rather than the discriminant in the numerator and use separation of variables together with the Jacobi--Trudi formula in order to obtain similar expressions in terms of the gamma function in order to interpolate between the Euler characteristics of more general vector bundle on grassmannians (or the dimensions of highest weight
representations of $GL_{N+k}$).

\subsection{Towards a gamma conjecture in
non--integral dimensions.} \label{gamma-phenomena} The by now standard
predictions of mirror symmetry relate the RRH formalism
on a Fano variety $F$ to the monodromy of its regularized
quantum differential equation. It is expected that this
differential equation arises from the Gauss--Manin
connection
in the middle cohomology of level hypersurfaces of a
regular function $f$ defined on some quasiprojective
variety (typically a Laurent
polynomial on $\mathbb{G}_\mathrm{m}^{\, d}$),
called in this case a Landau--Ginzburg model of
$F$. By stationary phase,
the monodromy of the Gauss--Manin connection in a pencil
translates
into the asymptotic behavior of oscillatory
integrals of the generic form
$I (z) = \int \exp (izf)\, d\mu (\mathbb{G}_\mathrm{m}^{\, d})$,
which satisfy the quantum differential equation of $F$,
this time without the word `regularized'.
The asymptotics
are given by Laplace integrals computed at the critical points,
and the critical values of $f$ are the exponents occurring
in the oscillatory integrals $I_i(z)$ that have `pure'
asymptotic behavior in sectors.
One wants to express these pure asymptotics in terms of the Frobenius
basis of solutions $\{ \Psi_i (z) \}$ around $z = 0$.
The gamma conjecture \cite{GGI2016}
predicts that such an expression
for the highest--growth asymptotic (arising from the critical
value next to infinity) will give the `gamma--half' of the Todd
genus and therefore effectively encode the Hilbert
polynomial of $F$ with respect to the anticanonical bundle.
At first sight, none of this seems capable of surviving in non--integer dimensions.
Yet, to return to the example of $G(2,N+2)$, define the numbers $c_j$ and $d_j$ by the expansions
\begin{equation*}
\Gamma_\P^{(0)} (\varepsilon) = \Gamma (1+\varepsilon)^{N+2} = \sum_{j=0}^\infty d_j \varepsilon^j ,
\end{equation*}
\begin{equation*}
\Gamma_\P^{(1)} (\varepsilon) = \Gamma (1+\varepsilon)^{N+2} e^{2 \pi i \varepsilon} = \sum_{j=0}^\infty c_j \varepsilon^j.
\end{equation*}
Put
\begin{equation*}
F(\varepsilon,z) = \sum_{k=0}^{\infty} \frac{z^{l+\varepsilon}}{\Gamma(1+l+\varepsilon)^{N+2}}
\end{equation*}
and
\begin{equation*}
\Psi (\varepsilon,z) = \Gamma_\P (\varepsilon) F (\varepsilon, z) = \sum_{k=0}^\infty \Psi_k (z) \varepsilon^k.
\end{equation*}

\medskip
\noindent \bf Claim \rm (rudimentary gamma conjecture). For fixed $N > 2$ and $i, \, j$  in a box of at least some moderate size,
one should have
\begin{equation*}
\label{claim-grass}
\lim_{z \to - \infty} \frac{\Psi_i (z) \Psi'_j (z) - \Psi_j (z) \Psi'_i (z)}{\Psi_1 (z) \Psi'_0 (z) - \Psi_0 (z) \Psi'_1 (z)}
= \frac{c_i d_j - c_j d_i}{c_1 d_0 - c_0 d_1} .
\end{equation*}

\bigskip
\bigskip

\noindent The LHS and RHS mimic, in the setup of formula \eqref{drop-rel}, the $\sigma_{[j-1,i]}$-coefficients in the expansion of the `principal asymptotic class' and the gamma class of the usual grassmannian: in the case when $N \in \mathbb{N}$ and $0 \le  i,j  \le N$ one would use the identification of $2$--Wronskians of a fundamental matrix of solutions to a higher Bessel equation with homology classes of $G(2,N+2)$.  Preliminary considerations together with numerical evidence suggest that the claim has a good chance to be true, as well as its versions for $G(k,N+k)$ with $k > 2$.

\bigskip

\bigskip
\bigskip

The first--named author is grateful to Yuri Manin and Vasily Pestun for stimulating discussions. We thank Hartmut Monien for pointing us to \cite{FW2008}.

\bigskip

\nocite{MV2017}
\nocite{GM2014}
\nocite{Bra2013}
\nocite{BS2013}
\nocite{Etingof1999}
\nocite{Etingof2014}
\nocite{Etingof2016}
\nocite{EGNO2015}
\nocite{FW2008}
\nocite{Man2006}
\nocite{Opd1999}
\nocite{Man1985}
\nocite{Lit1942}
\nocite{Lit1943}
\nocite{BD2016}
\nocite{LM2002}
\nocite{LM2004}
\nocite{LM2006}
\nocite{LM2006a}

\nocite{GW2011}
\nocite{Del2002}
\nocite{}
\nocite{}
\nocite{}
\nocite{}
\nocite{}
\nocite{}

redpajama_set_name: RedPajamaArXiv


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Ducey Lies to Expand Vouchers with Covid-Relief Funds
2021, Arizona Schools, Education Funding, Teacher / January 4, 2022 January 3, 2022 / 2021, Arizona, Arizona Schools, Education, Mandates, Resources, teacher
Governor Ducey has long prioritized expanding private school vouchers over funding public schools, so it comes as no surprise that he is misusing federal Covid relief dollars to create yet another form of voucher. Arizona public schools have already lost billions in education funding over the past decade as lawmakers have expanded private school vouchers again and again.
Ducey Lies to Push Anti-Mask Voucher Programs
Ducey's newest voucher program encourages parents "unhappy with their public school district's COVID-19 mitigation efforts" (as in, mask mandates) to apply for $7,000 in federal dollars to take to private schools even if they have mask mandates! Three months after Ducey's anti-mask voucher program was first announced, the Governor's office claimed they'd received more than 2000 applications which exceeded the $10 million in allocated funding. However, these claims about the popularity of the program don't hold up.
According to AZ Republic reporter Stacey Barchenger in "The Gaggle" podcast, public records requests revealed that only 1400 voucher applications were started, only 650 were completed and submitted, and only 93 were approved. In short, Gov. Ducey lied about the popularity of these programs. And if history tells us anything, he will double down on this lie in order to sell expansion of the program this upcoming legislative session.
The Governor's office claimed they'd received more than 2000 applications which exceeded the $10 million in allocated funding. However, these claims about the popularity of the program don't hold up… In short, Gov. Ducey lied about the popularity of these programs.
Unused Voucher Funds Could Help 1.1 Million Students
In the interview, Barchenger points out that less than $50,000 has been spent of the $10 million set aside by Ducey for this purpose. The remaining $9.9 million remains unused. As Save Our Schools Arizona Director Beth Lewis recently pointed out in the AZ Republic, "The governor's claims are absolutely misleading. The governor's office is holding $10 million dollars hostage saying they're receiving all these applications, and that money is not in the classroom helping kids right now." Federal dollars that could be used for aides, academic support, counselors, and PPE to keep students, teachers, and staff healthy and in the classroom are sitting in the state's coffers.
While touted by the governor to be vastly successful and popular, the program has proven to be the opposite. Barchenger reported that when confronted with the data, Ducey responded that "helping any number of families through what he called 'good policy' was worth it in his mind." For the governor, it's preferable that millions of dollars sit unused in order to justify expanding vouchers at all costs.
Voucher Fraud & Abuse
Like Arizona's ESA voucher program, the Governor's latest private school voucher plan is rife with misspending. The program was billed as a way to "get kids back into classrooms," yet a full third of approved vouchers are being used to send kids to online school. And despite an income cap meant to prioritize low-income kids, several awarded vouchers went to wealthy families.
Barchenger says that her research uncovered several inconsistencies with what the governor said the purpose of the voucher program was and the actual outcomes. "[Ducey] said the programs were to keep kids in classrooms, but a third of the people who have been approved for the vouchers were approved to send their kids to online school so they're not in classrooms at all," she noted.
"The language coming from [Ducey's] office was, 'We want to support districts and parents that are following the law," Barchenger reported, referring to the law prohibiting districts from imposing mask mandates that was recently ruled unconstitutional. "But that law doesn't exist anymore, so [Ducey's] shifted a little bit to the latest defense that anything we can do to keep kids in classrooms helps stem the digital divide that has emerged after COVID." And yet many families are using the funds to attend online school.
The US Treasury has said federal Covid relief dollars were intended to help with economic recovery and slow down the spread of the virus, and that Ducey's programs do the opposite. "These programs were unveiled just after the CDC recommended universal masking in schools, and they do the opposite of that. They put financial incentive to districts that don't follow those guidelines," said Barchenger.
"[Ducey] said the programs were to keep kids in classrooms, but a third of the people who have been approved for the vouchers were approved to send their kids to online school so they're not in classrooms at all."
Stacey Barchenger, AZ Republic Tweet
AZ Parents Choose Public Schools
The program's failures underscore the well-known fact that private school vouchers are not an effective or efficient way to help Arizona kids in need. Despite this, as well as the ongoing struggle between AZ and the federal government on whether voucher expansion is an appropriate use of federal dollars, Gov. Ducey insists that there will be a need to expand the program. Once again, his office is using lies and exaggerations to expand eligibility, which is extremely concerning when $9.9 million in Covid relief dollars sits unused.
Gov. Ducey continues to prioritize unpopular and inefficient voucher programs while Arizona public schools remain last in the nation in education funding. Arizona families overwhelmingly choose public schools, and voters rejected private school voucher expansion by a 2-1 margin in 2018.
AZ voters have spoken: Governor Ducey and the legislature must prioritize public education and support the 1.1 million students attending Arizona's public schools.
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The Ensco 8503 semi drilled the Zama-1 discovery well for Talos Energy in the Salinas-Sureste Basin offshore southeast Mexico. The Zama-1 discovery, which was announced last year, yielded one of the world's largest shallow-water finds in the past 20 years and is estimated to hold 600 million bbl of commercial reserves. Ensco is now in discussions with operators for more drilling work offshore Mexico and is participating in rig tenders for exploration and appraisal work in 2019 and beyond.
Mexico's newly elected president Andrés Manuel López Obrador – who has been an outspoken opponent of the country's 2013 energy reform that ended PEMEX's oil sector monopoly – made a statement at a press conference in early August that he will ban hydraulic fracturing in Mexico.
"If such a ban was implemented and includes natural gas production, unconventional gas exploration will go by the wayside, and Mexico will either be forced to import more American gas or seek gas offshore," said David Goldwyn, Chairman of the Energy Advisory Group and Non-Resident Senior Fellow with the Atlantic Council's Adrienne Arsht Latin America Center. It remains to be seen, however, whether the president-elect's statement is just politics or if he will follow through.
Since he picked up more than 50% of the vote to win Mexico's 1 July presidential election, Mr López Obrador has promised to respect existing contracts, and analysts believe he is unlikely to reverse ongoing reforms in a major way.
Currently, only incremental changes are expected once the new president takes office on 1 December. One change that has already come to pass is a delay in additional licensing rounds in order to give the new administration more time to review license terms.
On 18 July, Mexico's National Hydro-carbons Commission (CNH) announced it had moved bidding rounds 3.2 and 3.3 and seven farm-outs with PEMEX from the original date of 5 September this year to 14 February 2019. The change came at the request of Mexico's Ministry of Finance, which was seeking more time to finalize contract terms and to give companies more time to analyze the associated data, according to Óscar Roldán, Head of CNH's National Data Repository. "It also gives CNH a chance to work hand-in-hand with the federal government's transition team to review current contracts and adjust future contract terms," he added.
In 2013, energy reforms approved in Mexico opened the country to investments from private and foreign companies by creating a framework for acreage licensing rounds and by allowing new E&P contract models. These include licenses, production-sharing, profit-sharing and service contracts. Prior to the constitutional reforms, foreign companies could only participate in service contracts where companies were paid for services. They were not allowed shares or profits associated with oil and gas production, according to a 2017 report by the US Energy Information Administration (EIA).
With the populist president soon taking office, however, changes to these reforms are anticipated. In addition to delays in new licensing rounds, local content requirements could also be revised and hinder investments in the process, Mr Goldwyn said.
It's also been speculated that the new president might end the PEMEX joint venture (JV) program, which was established in 2014 to provide the NOC with the technology and capital needed to reverse its production declines. The program's ultimate goal is to increase profits for both the NOC and the national government. "JVs play a central role in mitigating PEMEX's production decline, but Mr López Obrador has publicly voiced opposition to the JV program. His Mexico-first ideology is likely to take the form of a stronger PEMEX capable of leveraging more advantageous terms in the JV process," said Maria Cortez, Senior Research Manager with consultancy firm Wood Mackenzie.
While there is a chance the JV program could be pulled, she believes the new administration will show pragmatism once it considers the additional production and revenues that could be generated under the ongoing reforms. In particular, she pointed to pressures that will be exerted on the new government to fund education, youth job training and pensions – all programs that Mr López Obrador proposed during his campaign.
Even if the JV program is left in place, changes to how it's run may be made, such as allowing PEMEX to choose its own partners. The government currently appoints partners for the NOC after going through a bidding round, but this lack of control for PEMEX has led to its reluctance to participate in farm-outs. As a result, almost no farm-outs were conducted during the first four years of the Peña Nieto administration, Mr Goldwyn said, noting the negative impact this had on PEMEX's production.
It's also uncertain how big a role the new government will want PEMEX to play in the country's oil and gas sector going forward. For example, it might require the NOC to participate in every consortium, or perhaps it will allocate new acreage solely for PEMEX, similar to what was done with Round Zero in August 2014, Mr Goldwyn said. During that licensing round, PEMEX was given the right of first refusal on all acreage offered. PEMEX ended up being awarded the right to develop 83% of Mexico's proved and probable reserves and 21% of total prospective resources.
Still, Mr López Obrador will face significant constraints in terms of what he can do with PEMEX, regardless of his ambitions. "The factors that drove the energy reform, which were a lack of capital and technological expertise in PEMEX for both deepwater and unconventional production, are unchanged," Mr Goldwyn said. Moreover, PEMEX's finances remain under the control of Mexico's Ministry of Finance, and significant change is unlikely unless PEMEX gets financial autonomy and is able to raise funds on the stock market.
The new president recently announced that he will move ahead with his plan to build a new refinery in the Tabasco region, at a reported cost of $8.6 billion. He is also planning to inject $4 billion into PEMEX for exploration, and additional money for proposed refinery renovations in Mexico's six existing facilities.
Since the 2013 energy reforms, nine licensing rounds have been held, from Round Zero in 2014 to the shallow-water Round 3.1 in March this year. More than 100 onshore and offshore blocks – including 46 onshore blocks and 58 shallow- and deepwater blocks – have been awarded for E&P.
So far, 16 exploration wells that were committed to under the licensing rounds have been drilled, four are drilling and six are planned for drilling. Companies that have participated have been diverse, from supermajors such as Shell and foreign national oil companies such as Qatar Petroleum to regional independents like BHP Billiton and new Mexican operators like Sierra Oil & Gas. These companies are bringing not only additional capital to fund new E&P projects but also a wide range of technical expertise that Mexico sorely needs.
Wood Mackenzie attributed the success of Mexico's recent licensing rounds to the creation of a fiscal regime with reasonable minimum bids. These have allowed the country to compete internationally.
At the same time, the government has been able to establish progressive factors in the contracts, such as with the contractual oil price, R-factors for statistical modeling, and internal rate of return adjustment mechanisms, that will maximize value for the country. Further, the country has smartly set lower minimums for less prospective acreage; this has facilitated the award of marginal blocks that could yield important discoveries, according to a May 2018 report from Wood Mackenzie.
Over the next four years, 63 exploration and appraisal wells – evenly split between deepwater and shallow water – have been committed for drilling as part of the licensing rounds. If all of these wells are drilled, they would represent a total spend of $5 billion for deepwater and $2.5 billion for shallow water. Wood Mackenzie estimates the 63 wells could yield up to 20 discoveries, assuming they are primarily exploration wells and have a success rate of approximately 30%, the global average for frontier plays.
Wood Mackenzie also estimates that, by 2024, investment from Round One, which includes several shallow-water projects and one deepwater project, will contribute approximately 500,000 BOE to Mexico's overall production. That growth will be driven partly by Eni's Amoca-2 and Talos Energy's Zama-1 discoveries. Both are located in the Salinas-Sureste Basin in southeast Mexico, which includes several sub-basins from onshore to ultra-deepwater.
The Amoca-2 exploration well, drilled in March 2017, was the first well drilled following the energy reform's passage. It was drilled to a total depth of 3,500 m and encountered approximately 110 m of net oil pay from several Pliocene reservoir sandstones. Amoca-2 is located in Contractual Area 1, 1,200 km west of Ciudad del Carmen, in Campeche Bay in 25 m of water.
Eni currently is drilling the Amoca-3 appraisal well on the Amoca field, where production is expected to begin in the second half of 2019. Wholly owned and operated by Eni, Amoca is likely to be the first greenfield project to come on-stream following passage of Mexico's energy reform.
Talos' Zama-1 discovery is also expected to contribute significantly to Mexico's production growth in the coming years. Drilled by the ENSCO 8503 semisubmersible in 546 ft of water, Zama-1 struck a contiguous gross oil-bearing interval of more than 1,100 ft – with up to 650 ft of net oil-bearing reservoir in the Upper Miocene sandstone reservoirs. It yielded one of the world's largest shallow-water finds in the past 20 years, estimated to hold 600 million bbl of commercial reserves.
In Q4 2018, Talos plans to start appraising the Zama field using the Ensco 8503. During the appraisal campaign – in which Talos must drill at least three boreholes and conduct a drill stem test and extensive coring and reservoir fluid sampling – the company plans to deepen one wellbore to test the Marte prospect. Once a front-end engineering design study is completed and a unitization agreement is reached, Talos expects to announce the final investment decision in Q4 2019 or Q1 2020.
The company has been in discussions with Mexico's Energy Ministry to unitize efforts to develop Zama, whose reserves extend into another block held by PEMEX. Production is expected to begin in 2022 and increase through 2024 as additional field facilities are added, Talos announced in May. Ensco is in discussions with operators for more drilling work offshore Mexico and is participating in rig tenders with PEMEX and IOCs for midwater floaters and jackups for exploration and appraisal work in 2019 and beyond, said Gilles Luca, Senior VP Western Hemisphere for Ensco. "Right now it's mostly exploration programs and a bit of appraisal work, but because of the high success rate we've seen in the new acreage, you would expect some development programs to commence down the road," he said.
Mexico's energy reform is generating a new wave of exploration and development activity, including Talos Energy's Zama-1 discovery. The energy reform also resulted in the Amoca-2 discovery, expected to be Mexico's first project to come on stream under the country's energy reform. Wood Mackenzie also estimates that, by 2024, investment from Round One, which includes several shallow-water projects and one deepwater project, will contribute approximately 500,000 BOE to Mexico's overall production. Both Amoca-2 and Zama-1 are located in the Salinas-Sureste Basin in southeast Mexico.
The drilling contractor had operated jackups in Mexico nearly continuously from 2008 to 2016, which provided valuable experience as Ensco navigated regulations in the country's reformed energy sector since 2013. "Our knowledge in starting operations in the region is proving extremely beneficial and allows international operators who may not have had experience working in Mexico the ability to leverage our experience," Mr Luca said.
He added that staying agile when dealing with new regulations and new regulatory bodies in the country has also helped to keep the process manageable. "The reform, from the standpoint of local content, was very realistic and didn't pose constraints that slowed our work down," he noted.
Lessons have also been learned around the management of logistical support for materials, boats and helicopters. Mexico's offshore support logistics industry is undergoing a transition as they are now partners with new entrants into the market, Mr Luca said.
Although efforts to develop Mexico's unconventional resources have remained scarce so far, this sector of the market could shift into higher gear under the new administration. There is worry in Mexico that US President Donald Trump could disrupt US natural gas exports to Mexico to try and influence NAFTA negotiations, Mr Goldwyn with the Atlantic Council said. This could lead the Mexican president to push PEMEX or other Mexican-based operators to invest in shale developments in order to boost natural gas production. In 2017, the US exported 4.6 billion cu ft/day of natural gas to Mexico via pipeline or liquefied natural gas cargoes, according to the EIA.
It's difficult to say whether Mr López Obrador will follow through with his vow to ban hydraulic fracturing, said Samantha Gross, Fellow in Foreign Policy focused on energy and climate issues with the Brookings Institution. Once the president-elect sees the "cold hard reality" of what a fracking ban and other changes to Mexico's energy regulations could mean, he could change his mind. Ms Gross believes the energy reform is good for Mexico and Mexicans but is scratching her head over the president-elect's statements on energy reform and what they could ultimately mean for the country.
Two bidding rounds – 3.2 and 3.3 – are currently scheduled for early 2019. The former offers 37 onshore conventional blocks and the latter offers nine onshore unconventional blocks. Round 3.3 will offer companies a chance to bid on nine licenses that touch the Pimienta formation of the Upper Jurassic unconventional play, which CNH considers one of the most attractive areas of Mexico for future gas, wet gas and oil production. Companies also will be able to bid on seven farm-out opportunities with PEMEX, covering 4,500 sq km of acreage with 2P and 3P reserves and a mix of historical production and newer, unexplored fields.
Wood Mackenzie sees challenges to the development of Mexico's onshore unconventional oil and gas, however. Mexico does have spare onshore drilling capacity, but developing Mexico's shale resources will require the import of higher-spec rigs to drill and complete wells 3,000 m deep, as well as hydraulic fracturing equipment. "We expect this will be a difficult undertaking for two reasons. First, service companies will need to sort out logistical challenges of operating in Mexico, likely a process which will dampen interest for smaller companies," Ms Cortez explained.
Second, the 2018 uptick in activity in the Permian Basin has depleted some of the excess capacity of rigs from the downturn. Rig rates in North America – estimated at $20,000/day to $25,000/day – and demand for pressure-pumping equipment also have tightened. "We would expect early Mexico shale developers to compete head to head with US market share, while also paying the premium for crossing the border. They will need to sort out the logistical challenges associated with importing equipment, staging it and storing it. We believe service companies will not be incentivized to do this without seeing a significant uptick in activity," Ms Cortez explained.
Ensuring safety and security in the region against gang-related crime and violence will likely be the biggest challenge these companies face for unconventional and conventional plays and will likely narrow the playing field of E&P and service companies. "Locally incentivizing governments to improve security in oilfields will greatly increase the odds of development, as will demonstrating tangible local benefits," Ms Cortez said.


Photo voltaic solar energy is a clean source of energy with much lower carbon footprint than other sources. However, the vast land requirements of solar energy arrays may make installation impractical when available land is better suited for other purposes. The goal of this research was to investigate changes to the environmental physics, grass production, and grass species diversification under solar panels in an active pasture. To this end, different land characteristics were studied observationally including the length of the growing season, the greenness, the production per acre), and the environmental physical processes.


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Farber > Articles > You Like Them But Can They Do the Job?
You Like Them But Can They Do the Job?
Much has been made in the last few years of a creeping "confirmation bias" when it comes to job interviews. In some cases, a slice of as little as the first 10 seconds of an interview can predict the outcome. It seems that if we like applicants at the start, we spend the interview subconsciously looking for reasons to like them more. If we dislike the candidate, we will use the time finding reasons to support that judgment.
The problem is that these judgments are incredibly unreliable when it comes to figuring out whether or not a person can do the job. For any hire, your reputation is on the line, so you should carefully scrutinize the process.
One of the best predictors of how a person will perform is previous performance. You can use behavioral interview questions to gain insight into how a candidate has solve problems in the past. This won't be a perfect predictor of traits like collaboration or ability to learn, but it could give you a like-for-like assessment.
Questions like "Tell me about a time you…" require candidates to tie past experiences to new scenarios. It's become conventional wisdom that extroverts will tend to do better in an interview than introverts, but that isn't always the case. Extroverts are not always aggressive and introverts are not always meek. Moreover, the idea that these personality tendencies fit certain jobs better than others has been debunked.
Behavioral interview questions help you see past the personality to assess whether or not the candidate will be capable of doing the job.
Conducting effective interviews does take a good deal of preparation. You need to detail the abilities you're looking for ahead of time and carefully construct the questions so that the responses you get will be measurable. The questions you ask should be carefully correlated to the competencies you're looking for.
It's a good idea to create a rubric or scorecard in advance as well. This will give you a reference point as to what you're looking for and allow you to make notes during the interview. It helps you look past the personality. Once all of the interviews are over, you can enter the information into a spreadsheet and calculate the results. The spreadsheet will let you grade and rank the candidates, and will enable a more reliable, fact-based decision.
When you like a particular candidate, you have to be careful that the halo effect isn't clouding your judgment. Having a hiring committee of objective individuals is a good way protect against that bias. At the very least, having a second opinion who doesn't just default to what you want to hear will help you let you check your assessment.
No one element of an interview gives you a perfect prediction of a candidate's success. Effective interviews will blend a number of the strategies such as assessing past work experiences and measuring cognitive ability to get a fuller picture of a candidate's abilities. Matching those abilities to the competencies you need in your team is the key to determining whether or not they will be able to do their job.
It's a difficult task, and you're not going to be right 100% of the time, but your professional reputation, maybe even your career, require that you get it right as often as possible.
Charlene Bergman is the Managing Director of the Interim Management & Executive Search practice at Farber. Her expertise lies in building long term relationships by supporting clients and candidates to meet their corporate and career aspirations. Charlene can be reached at 416.496.3752 and cbergman@farbergroup.com.


Joseph O Regan teaches English, History near Dubai, Dubai.
Firstly, I being with a diagnostic test and I will then continue on a student needs basis with the aim of getting the student to the next level. I am a very easy person to work with and I enjoy very positive relationships with the students who I tutor. I believe the most important factor of a good tutor is the capacity to motivate the student through encouragement. I aim to do this for every student who I help, no matter what their level.


Plan ahead! Take a look at our full 2018-2019 Calendar.
10:15 Welcoming Circle The project of the day will be introduced and materials will be provided (this project/lesson will reflect the curriculum given to families in the beginning of the school year).
10:30am Exploration We believe in the power of nature to provide the environment for deep place-based exploration. Children will build relationships with their peers, mentors, and environment. Project ideas organically surface through unencumbered play and experimenting with new tools and materials. Mentors observe and document strong group interests while providing supporting questions, materials, and tools to encourage deeper learning.
12pm Lunch/Snack EverWild will provide a snack for the group to share.
1pm Sacred Project Time The group will revisit and begin the Project/Lesson of the day.
2pm Nature Journaling Students find a quiet space in nature for reflection and creative expression. This can be in the form of written word, sketches, paintings, videography, photography, or group discussions.
2:30pm Gratitude Circle The group honors the work done for the day and gives gratitude and thanks to the Earth, animals, and one another.


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Olinger, Papineau Join WVU Golf
November 12, 2015 by The Original Golf Blogger
Duo to Join WVU Golf
MORGANTOWN, W.Va. (November 11, 2015) – West Virginia University golf coach Sean Covich announced Wednesday that Ty Olinger (Blacksburg, Va.,/North Cross HS) and Etienne Papineau (St-Jean sur Richelieu, Quebec/Champlain St-Lawrence) have committed to joining the Mountaineers starting in the fall of 2016.
"We are really excited to be adding these two young men to our program," said Covich, who is currently guiding the Mountaineers through their first varsity season in over 30 years. "This will be our third recruiting class and we are in a great spot. Luckily we have balance on our roster with each class and are able to bring in two strong players for next year trying to replace our seniors, Easton Renwick and Mason Short."
Olinger, who hails from Blacksburg, Virginia, currently competes for Richard Cook at North Cross School. He ranks as the No. 2 senior and the No. 4 player in the state of Virginia, ranking No. 155 nationally for the class of 2016. Olinger earned VISAA First Team All-State accolades from 2012-15 and was the Roanoke Metro Player of the Year in 2014. He has earned mention on the All-Metro Team on five occasions. Olinger finished as the runner-up at the VISAA State Tournament in 2013 and 2014 and was the VISAA State Tournament runner-up in 2015. He boasts a pair of titles at the Roanoke Valley Golf Hall of Fame Junior Championship and boasts top-20 finishes at the 2012 Scott Robertson Memorial (6th), 2013 Virginia Junior Stroke Play Championship (8th), 2015 AJGA Junior at Owensboro (9th), 2014 Virginia Junior Stroke Play Championship (10th), 2015 AJGA Philadelphia Junior (13th), 63rd Virginia Junior Stroke Play Championship (14th) and the 25th Virginia Junior Match Play Championship (20th).
"I look forward to getting Ty around our guys and having him compete," said Covich. "He's a talented player who's continued to improve the past few years. I'm excited about his potential."
The son of Danny and April Olinger, Olinger intends to major in business management. He chose West Virginia over Elon, Radford and Seton Hall.
Papineau, a native of St-Jean sur Richelieu, Quebec, Canada; plays for Champlain St-Lawrence. He played in three National Collegiate Championships, posting a scoring average of 70.5. Papineau won the title at the 2015 event, scoring 10 under par for the win and also earned medalist honors at the conference championship. He earned All-Canadian honors in 2015 and was named to the all-star team in 2014 and 2015. Papineau helped the Lions to the runner-up spot at the conference championship in 2013, 2014 and 2015 and was a member of the squad that set an all-time low round score of 284. In addition, Papineau was the winner of the 2014 Quebec Junior Provincial Match Play tournament an also won the 2014 Quebec Junior Boys Championship. He finished in the top 10 of the 2014 Graham Cooke Jr. Invitational, the 2014 Quebec Men's Provincial Championship and the 2014 Vertdure Junior Spring Open.
"Etienne brings with him a ton of international tournament experience," said Covich. "He's played on the Canadian National Team and competed in some of the top junior and amateur events around the world. The competitive mindset that he brings will greatly benefit our program."
The son of Luc and Francine Papineau, he will major in sports management at WVU after selecting West Virginia over Washington State and Charlotte.
WVU recently wrapped up its first fall season since 1982. The Mountaineers will hit the links once again February 15 when they travel to Houston for the President's Day Challenge.
Follow @WVUSports and @WVU_Golf on Twitter
Categories West Virginia University - WVU Tags West Virginia Unviersity, WVU Golf Post navigation
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Airports are unique because of the more stringent requirements for the strength of materials and the frequency of testing and inspection.  Special equipment is required for testing the strength of concrete used in runways and taxiways.  Because of these aspects, KTI employs technicians that are devoted exclusively to aviation related projects.  In the past seven years alone, KTI has participated in construction projects at 38 different airports in Kansas and Missouri, and our experience and capabilities are unsurpassed.

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White Bears bounced back from their disappointment at IMKA to record a solid four set win against Onyx that leaves all four teams that have played twice so far this season tied in top spot in the league table with one win and one loss each. The two unbeaten sides, Rebels and Inter don't meet until early in New Year so the division looks like enthralling London volleyball for months to come.
The first set of their match against Onyx was an exciting one, a tiny lead changing hands several times until the score reached 9:all when Onyx opened up a two point lead and looked to have the set safe at 18:20 However, a good move saved set point and accurate serving from J Forester and a front line of H Ridge, Rosie Kirk and Annie Tinker combining well stunned all watching.
From 5:all in the second, Bears were able to raise their game but, after looking comfortable at 14:10 were hit by an Onyx revival in which they closed to 14:12 before, very slowly in an excellent passage of play, tied the score at 17:all. Hannah Robinson, who had come on as a sub two-thirds through the first set, rotated to serve and saved the moment. Earlier in the set she had served just once. this time she put in the three accurate blows that were needed.
Onyx's Joana Silva who had come on at 7:10 in the second set and served well, started the third in Position One and, with Jana Parmova, Kara Conway and Daisy Moya impressive at the net, raced to a 0:5 lead that set them up for the set. Bears settled and the remainder of the play was close and exciting but the visitors kept themselves in front. At 13:17 they secured side out and it was Joana's turn to serve again. That opening line up proved decisive and the match was saved.
Play was close to 6:all in the fourth after which Bears raced to 5:12 and 6:14. A time-out was called at each score and the second once settled Onyx. However, the damage had been done and the scoreboard ticked over remorselessly until William Perugini's final whistle.
Starting Six: J Forester, Rebecca Jones, Rosie Kirk, Rebecca Rankin, H Ridge, Annie Tinker.
Libero: Monika Czesna, P Simonte.
Other players: Hannah Robinson, L Tanita.


text:
Pulsed-field gel electrophoresis analysis of retinoic acid receptor-α and promyelocytic leukemia rearrangements: Detection of the t(15;17) translocation in the diagnosis of acute promyelocytic leukemia Academic Article
Chromosomes, Human, Pair 15
Gene Rearrangement
Leukemia, Promyelocytic, Acute
Receptors, Retinoic Acid
Translocation, Genetic
Acute promyelocytic leukemia (APL) is characterized cytogenetically by a balanced reciprocal chromosomal translocation t(15;17) (q22;q21). This translocation involves the retinoic acid receptor-alpha (RAR-alpha) on chromosome 17 and the promyelocytic leukemia locus (PML) on chromosome 15 and results in the transcription of novel fusion messenger RNAs. In this study, pulsed-field gel electrophoresis (PFGE) was applied to the detection of the t(15;17) translocation in twenty-six clinical specimens cytologically diagnosed by French-American-British criteria as APL. This technique could readily be applied to both fresh and nonviably frozen tumor samples. In 24 of 26 samples, rearrangements of the PML and RAR-alpha, loci could be detected by Southern blotting after digestion with MluI and BssHII. Furthermore, co-migration of the rearranged fragments, detected by hybridization to probes for the PML and RAR-alpha genes, demonstrated that these loci were juxtaposed. The translocation was detected in specimens at the time of initial diagnosis, on differentiation therapy with retinoic acid and at the time of relapse. The diagnostic accuracy was compared to cytogenetics and the reverse transcriptase-polymerase chain reaction for the novel PML-RAR-alpha fusion transcript. The samples from two patients were negative by all three diagnostic methods, and both of these patients failed to respond to all-trans retinoic acid. In the other 24 APL samples, cytogenetics was positive in only 76.9% of the cases, whereas both reverse transcriptase-polymerase chain reaction and PFGE methods detected the translocation in 100% of the cases. Thus, PFGE can readily detect the t(15;17) translocation in both viable and nonviable clinical specimens and can improve the diagnostic accuracy of morphology and cytogenetics in APL. In contrast to conventional electrophoresis based on rearrangement of RAR-alpha, the ability to demonstrate directly co-migration of the PML and RAR-alpha loci enables this method to distinguish the t(15;17) translocation from variant translocations such as the t(11;15). Because PFGE can be performed on nonviable, frozen tumor samples, it could be diagnostically useful in APL when the RNA-based reverse transcriptase-polymerase chain reaction cannot be performed.
Xiao, Yong Hong
Miller, Wilson H.
Warrell, Raymond P.
Dmitrovsky, Ethan
Zelenetz, Andrew
American Journal of Pathology Journal


Here's some photos of the makeshift street memorial for Juan Jerez, a 15-year-old Bedford Park resident gunned down last Friday night on the corner of Minerva Place and Creston Avenue.
Yesterday more than 20 of Jerez's friends gathered around the memorial, which they placed at the site of his death. They all said that the shooting was accidental and that Jerez was an innocent victim. He was shot while playing basketball, they said.
An unidentified 15-year-old companion of Jerez was also shot once in the right leg, but will survive.
The police arrested Daikwan Giles, 17, a suspect, in connection with the shootings. According to police, Giles also lived in the neighborhood.
Hope giles get life in prison !
why would you hope he gets life in prison, if youre not sure if he even did it shutup.
RIP JUAN GONE BUT NEVER FORGOTTON!
THEY KILLED AN INNOCENT KID. MAY GOD FORGIVE THE KIDS WHO KILLED YOU CUZ I JUST CAN'T YOU MEANT SO MUCH TO ME THAT LIFE IN PRISON WON'T BE ENOUGH PUNISHMENT FOR THE CRUEL KIDS WHO TOOK OUR LIFE. YOU WILL ALWAYS BE REMEMBERED JUAN!!!!!!!!
RIP Juan you will always live within each and everyone of us you touched. Man its gonna be hard not having you around you were the sunshine in many of our lives.
juan i love u nd i miss u so much.. we had so much fun toqether.. omg.. whoever did this to u doesnt deserve to even live..
R.I.P. John French(Frenchy)! You too deserved better!
YYOOOOO fDaikwan ree my boi Daikwan i kno he aint do it so all ya'll talkin dat hot sh!t need ta calm that down. Yo Daikwan i aint locked up in there wit you nomore but i still got ya back hold ya head!!


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The High Qualification Commission of Judges continues holding interviews with candidates for the new Supreme Court until May 26, 2017.
As of May 11th, panels of the HQCJ interviewed 55 candidates with negative opinions from the Public Integrity Council, of which 42 negative opinions were neglected.
Decision on recommendation of these candidates for appointment as judges will be adopted by HQCJ: 11 of 16 votes of members of the Commission are required to adopt positive decision.
Decision of HQCJ on final list of candidates to the Supreme Court shall be taken behind closed doors by secret voting. This gives HQCJ members an opportunity to approve notorious candidates and hide behind collective irresponsibility. The Commission also failed to provide for publication of personalized results of voting for adoption/disregarding of conclusion of the Public Integrity Council. Without this the public have limited information to access whether decisions were fair.
Amendments to the Rules of procedure of the Commission need to be adopted to provide for publication of both individual scores that each member gave to each candidate and personalized results of votes on consideration of opinions of Public Integrity Council.
Please see the statement of the Reanimation Package of Reforms for more details.