text:
\section{Introduction}\label{sec:1}
This letter investigates a generalization of the usual definition
of a quantum system in microcanonical equilibrium. If the
Hamiltonian $H$ that describes a system has a nondegenerate
spectrum, then according to the standard definition of quantum
microcanonical equilibrium the system must be in one of the
eigenstates of $H$. This requirement is known as the {\it
postulate of equal a priori probabilities}~\cite{huang}. We
emphasize that according to the definition of microcanonical
equilibrium in Ref.~\cite{huang} the state of such a system cannot
be a linear combination of eigenstates of $H$. However, if $H$ has
a degenerate spectrum, then the density matrix that describes a
system of energy $E$ in microcanonical equilibrium contains all
states $|E,k\rangle$ of the degenerate energy $E$ with equal
weight: $\frac{1}{n}\sum_{k=1}^n|E,k\rangle \langle E,k|$, where
$n$ is the number of states having energy $E$.

Because the standard definition of quantum microcanonical
equilibrium only allows the system to have energies that are
eigenvalues of $H$, an alternative, less restrictive definition
has recently been introduced \cite{BHH}. By this latter
definition, called the {\it quantum microcanonical postulate}
(QMP), a state of a system in microcanonical equilibrium can have
an energy that is {\it not} an eigenvalue of $H$. The discussion
in Ref.~\cite{BHH} of quantum systems obeying the QMP is
qualitative. Here, we give a quantitative analysis of a quantum
system described by a Hamiltonian having a nondegenerate, equally
spaced spectrum. Assuming that the system is in microcanonical
equilibrium and that it obeys the QMP, we study the behaviour of
the density of states $\mu(E)$ as the number of energy levels
becomes large.

This letter is organised as follows: In Sec.~\ref{sec:2} we review
the representation for the density of states $\mu(E)$ in terms of
the energy eigenvalues as outlined in Ref.~\cite{BHH}. We then
define the model investigated in this letter in which the energy
spectrum is taken to be nondegenerate and to grow linearly:
$E_k\propto k$. In the next two sections we investigate the
behaviour of $\mu(E)$ as the number of states of $H$ becomes
infinite. In Sec.~\ref{sec:3} we show that $\mu(E)$ integrates to
unity. Section~\ref{sec:4} presents an asymptotic study of
$\mu(E)$ as the number of states becomes infinite. On the basis of
the analysis given in Secs.~\ref{sec:3} and \ref{sec:4}, we
conclude that $\mu(E)$ approaches $\delta[E-(E_{{\rm max}}+
E_{{\rm min}})/2]$.

\section{Definition of the model}
\label{sec:2} Let us review briefly the general mathematical
framework proposed in Ref.~\cite{BHH} for describing the density
matrix of a mixed state of a quantum system in microcanonical
equilibrium. Consider a quantum system defined on an
$(n+1)$-dimensional Hilbert space ${\mathcal H}$. Let $Z^\alpha$
$(\alpha=0,1,2, \ldots,n)$ be a typical element of ${\mathcal H}$
and let $H^\alpha_\beta$ denote the Hamiltonian with eigenvalues
$E_i$ $(i=0,1,2,\ldots,n)$. Then, the expectation value of the
Hamiltonian in the state $Z^\alpha$ is $\langle H
\rangle=\bar{Z}_\alpha H^\alpha_\beta Z^\beta/\bar{Z}_\gamma
Z^\gamma$. Assume that in microcanonical equilibrium all states
$Z^\alpha$ satisfying the condition $\langle H\rangle=E$ are
realised with equal probability. Then, the corresponding
unnormalised density of states $\Omega(E)$ is
\begin{eqnarray}
\Omega(E)=\frac{1}{\pi}\int_{\mathcal
H}{{\rm d}}^{n+1}\bar{Z}\,{{\rm d}}^{n+1}Z\,\delta (\bar{Z}_\alpha
Z^\alpha-1)\;\delta\left(\frac{\bar{Z}_\alpha H^\alpha_\beta
Z^\beta}{\bar{Z}_\gamma Z^\gamma}-E\right). \label{eq:2}
\end{eqnarray}

The constraint $\delta(\bar{Z}_\alpha Z^\alpha-1)$ in (\ref{eq:2})
arises because one is only interested in the unit normalised
states, and the factor of $\pi$ reflects the additional redundant
overall phase of the state. It is convenient to use the standard
integral representation $\delta(x)=\frac{1}{2\pi}
\int_{-\infty}^{\infty}{{\rm d}}\lambda\,e^{-{\rm i}\lambda x}$ for each
of the $\delta$ functions appearing in (\ref{eq:2}). The
Hilbert-space integration then becomes Gaussian in the $Z$
variables leaving the expression
\begin{eqnarray}
\Omega(E)=\frac{1}{\pi}(-{\rm i}\pi)^{n+1}\int_{-\infty}^{\infty}\frac{{{\rm d}}
\nu}{2\pi}\int_{-\infty}^{\infty}\frac{{{\rm d}}\lambda}{2\pi}\,e^{{\rm i}
(\lambda+\nu E)}\prod_{l=0}^{n}\frac{1}{\lambda+\nu E_l}.
\label{eq:4}
\end{eqnarray}

Assuming that the energy spectrum is nondegenerate, one can
perform the $\lambda$ integration to obtain
\begin{eqnarray}
\Omega(E)=\pi^{n}\sum_{k=0}^{n}\int_{-\infty}^{\infty}\frac{{{\rm d}}\nu}{2\pi}
\frac{e^{-{\rm i}\nu(E_k-E)}}{({\rm i}\nu)^n}\prod_{l=0,\neq k}^{n}
\frac{1}{E_l-E_k}. \label{eq:5}
\end{eqnarray}
The remaining $\nu$ integration can now be performed explicitly to
give
\begin{eqnarray}
\Omega(E)=(-\pi)^n\sum_{k=0}^n\delta^{(-n)}(E_k-E)\prod_{l=0,\neq
k}^{n}\frac{1} {E_l-E_k}, \label{eq:6}
\end{eqnarray}
where $\delta^{(-n)}(x)$ denotes the $n$th integral of the
$\delta$ function:
\begin{eqnarray}
\delta^{(-n)}(x)= \left\{ \begin{array}{ll} 0 & (x<0), \\
\frac{1}{(n-1)!}\, x^{n-1} & (x\geq 0) .\end{array}\right.
\label{eq:7}
\end{eqnarray}

The density of states $\Omega(E)$ as defined in (\ref{eq:2}) is
normalised by dividing it by the volume of the subspace of
${\mathcal H}$ spanned by states having unit length: ${\bar
Z}_\alpha Z^\alpha=1$. This gives the normalised microcanonical
state density function $\mu(E)$. The volume is given by $\pi^n/
n!$ (see, for example, Ref.~\cite{gibbons}). Thus,
$\mu(E)=n!\,\pi^{-n}\,\Omega( E)$ gives the density of states that
satisfies the normalisation condition $\int_{-\infty}^{\infty}{\rm d}
E\,\mu(E)=1$.

In this letter we propose a particular QMP model in which the
energy spectrum rises linearly and is given by $E_k=k$. Our
objective is to study the behaviour of $\mu(E)$ as the number of
energy levels becomes infinite. With this linear choice of
spectrum the normalised density of states becomes
\begin{eqnarray}
\mu(E)=(-1)^n
n\sum_{k>[E]}^n\frac{(-1)^k\left(k-E\right)^{n-1}}{k!(n-k)!},
\label{eq:9}
\end{eqnarray}
where the notation $[E]$ indicates the largest integer less than
or equal to $E$.

It is now convenient to rescale the energy spectrum so that the
range of the energy lies in the interval $[0,1]$ for each $n$.
Upon rescaling, (\ref{eq:9}) transforms to
\begin{eqnarray}
\mu(E)=(-1)^{n+1}n^2\sum_{k=0}^{[nE]}\frac{(-1)^k(k-nE)^{n-1}}{k!(n-k)!},
\label{eq:10}
\end{eqnarray}
where $E\in[0,1]$ for all $n$. To derive this result we have used
the fact that the sum in (\ref{eq:9}) vanishes when the summation
range is taken from $k=0$ to $k=n$.

In Fig.~\ref{fig:1} we plot the density of states $\mu(E)$ in
(\ref{eq:10}) for $n=3,~6$, and $9$. This graph suggests that
$\mu(E)$ converges to a $\delta$ function centred at $E=1/2$ as
$n$, the number of energy levels, increases. We show analytically
that the density of states $\mu(E)$ associated with a quantum
system having the spectrum $E_k\propto k$ does indeed approach
$\delta(E-1/2)$ in the limit $n\to\infty$. Our analysis is of
interest because it involves an asymptotic study of an infinite
sum whose terms alternate in sign. To overcome the difficulties
associated with this alternating series, we convert the series to
a double contour integration whose asymptotic behaviour is
obtained using the method of steepest descent. This work also
provides a new limit identity for the Dirac $\delta$ function.

\begin{figure}[th]\vspace{2.6in}
\special{psfile=figure1.ps angle=0 hoffset=-67 voffset=-367
hscale=110 vscale=110} \caption{The density of states $\mu_n(E)$
associated with a quantum system having a linear energy spectrum
$E_k=k$, where the range of the energy is suitably rescaled so
that $E$ lies in the range $[0,1]$ for all $n$. Plots of
$\mu_n(E)$ are given for 4-, 7-, and 10-state ($n=3$, $6$, and
$9$) systems. Observe that as the number of energy levels
increases, the distribution becomes more peaked at the centre
$E=1/2$, suggesting that as the number of energy levels approaches
infinity, the distribution approaches $\delta(E-1/2)$. The
analysis in Secs.~\ref{sec:3} and \ref{sec:4} verifies that this
is indeed the case. \label{fig:1}}
\end{figure}

\section{Analysis of the model}
\label{sec:3} To verify that $\mu(E)$ approaches $\delta(E-1/2)$
as the number of states $n$ approaches infinity, we must establish
two properties of $\mu(E)$. First, we must show that
$\int_{-\infty}^\infty{\rm d} E\,\mu(E)=1$. Second, we must show that
the limiting value of $\mu(E)$ is zero except at $E=1/2$ where it
tends to infinity. In this section we show that the normalisation
condition satisfied by $\mu(E)$ in (\ref{eq:10}) is valid. Let us
define $I$ by $I=\int_0^1{\rm d} E\,\mu(E )$. The summation in
(\ref{eq:10}) must be evaluated piecewise because of the
dependence of the summation range on $E$. Thus, it is convenient
to decompose the integration range of $I$ into $n$ intervals and
to write
\begin{eqnarray}
I=(-1)^{n+1}n^2\sum_{j=1}^{n}\int_{(j-1)/n}^{j/n}{\rm d}
E\sum_{k=0}^{[nE]}\frac{ (-1)^k(k-nE)^{n-1}}{k!(n-k)!}.
\label{eq:x5}
\end{eqnarray}

To perform the integration over $E$ we rewrite the summation in
the integrand so that it is independent of $E$. Given that $j$
ranges from $1$ to $n$ and that $k$ ranges from $0$ to $n-1$ with
$k\leq j-1$, we have
\begin{eqnarray}
I &=& (-1)^{n+1} n^2
\sum_{j=1}^n\sum_{k=0}^{j-1}\int_{(j-1)/n}^{j/n}\;{{\rm d}}E
\frac{(-1)^k(k-nE)^{n-1}}{k!(n-k)!}\nonumber\\
&=& (-1)^{n+1} n^2 \sum_{j=1}^n \sum_{k=0}^{j-1}
\frac{(-1)^k}{k!(n-k)!} \left.
\frac{(k-nE)^n}{n(-n)}\right|_{E=(j-1)/n}^{j/n}.
\end{eqnarray}
We now interchange the order of summation according to
$\sum_{j=1}^n\sum_{k=0}^{ j-1}=\sum_{k=0}^n\sum_{j=k+1}^n$:
\begin{eqnarray}
\label{eq:x6}
I=\sum_{k=0}^{n-1}\frac{(-1)^k}{k!(n-k)!}\sum_{j=k+1}^{n}\left[(j-k)^n-(j-k-1)^n
\right].
\end{eqnarray}
Performing the sum over $j$, we obtain
\begin{eqnarray}
\label{eq:x9}
I=\sum_{k=0}^{n}\frac{(-1)^k}{k!(n-k)!}(n-k)^n=\frac{(-1)^n}{n!}\sum_{k=0}^n(-1)
^k\left({n\atop k}\right)(k-n)^n.
\end{eqnarray}

Observe that the summation in (\ref{eq:x9}) is the $n$th discrete
difference of $k^n$. Recall that for the polynomial $f(k)=k^n+{\rm
lower~powers}$, the first discrete difference is
$\mathcal{D}f(k)=f(k)-f(k-1)=nk^{n-1}+{\rm lower~ powers}$. The
second discrete difference is $\mathcal{D}^2f(k)=f(k)-2f(k-1)+f(k-
2)=n(n-1)k^{n-2}+{\rm lower~powers}$, and so on. The $n$th
discrete difference is especially simple because there are no
remaining lower powers: $\mathcal{D}^n f(k)=n!$. This observation
allows us to evaluate the sum in (\ref{eq:x9}) :
\begin{eqnarray}
\label{eq:x12} \sum_{k=0}^n \left({n \atop k}\right)(-1)^k
k^n=(-1)^n n!.
\end{eqnarray}
We have thus verified the normalization condition $I=1$.

\section{Asymptotic behaviour of (\ref{eq:10}) for large $n$}
\label{sec:4} We now examine the behaviour of $\mu(E)$ in the
limit as $n\to\infty$. We have already shown in Sec.~\ref{sec:3}
that the integral of $\mu(E)$ is unity. To show that $\mu(E)$
approaches a delta function as $n\to\infty$ we must establish that
$\mu(E)$ becomes singular at the central value $E=\mbox{$\textstyle \frac{1}{2}$}(E_{{\rm
max}}+ E_{{\rm min}})$ and that it vanishes at all other points in
this limit. Note that by the scaling used in (\ref{eq:10}) the
central value is at $E=1/2$.

The representation of $\mu(E)$ in (\ref{eq:10}) for finite values
of $n$ is symmetric about the point $E=1/2$. To verify this
symmetry we make the transformation $E\to1-E$ and replace the
summation variable $k$ by $n-k$. Thus, we need only study the
behaviour of $\mu(E)$ for $E=1/\alpha$, where $\alpha\geq 2$.
Without loss of generality, we set $n=\alpha J$, where $J$ is a
large integer, and let $\omega_J(\alpha)$ be the value of $\mu(E)$
at $E=1/\alpha$:
\begin{eqnarray}
\label{eq:x14}
\omega_J(\alpha)=\alpha^2J^2\sum_{k=0}^J\frac{(-1)^k(J-k)^{\alpha
J-1}}{k!( \alpha J-k)!}.
\end{eqnarray}

It is straightforward to find the behaviour of $\omega_J(\alpha)$
for large $J$ when $\alpha>e$. Using Stirling's formula for the
asymptotic behaviour of the factorial function, we observe that
each term in the sum in (\ref{eq:x14}) is exponentially small;
that is, it has the form $e^{-AJ}$ $(J\to\infty)$, where $A$ is a
positive constant. The number of terms in the sum grows linearly
with $J$. Thus, the sum vanishes as $J\to\infty$.

However, when $2\leq\alpha\leq e$, the terms in the sum
(\ref{eq:x14}) are exponentially large. In this case, the factor
of $(-1)^k$ in the summand gives rise to a deep global
cancellation among all the terms in the sum. When $\alpha> 2$,
this cancellation causes $\omega_J(\alpha)$ to vanish
exponentially for large $J$. The case $\alpha=2$ is special
because the sum does not vanish exponentially. We have performed
the sum on the right side of (\ref{eq:x14}) numerically for large
values of $J$ when $\alpha=2$ using Richardson
extrapolation~\cite{bender}. We find that
\begin{eqnarray}
\omega_J(2)\sim(1.9544100476\ldots)\sqrt{J}\quad(J\to\infty).
\label{eq:x14a}
\end{eqnarray}
Establishing these asymptotic results analytically is difficult.
Laplace's method for sums cannot be used to evaluate
$\omega_J(\alpha)$ because Laplace's method involves local
analysis and this method is inadequate when terms in the sum
alternate in sign.

To overcome this difficulty we convert the sum in (\ref{eq:x14})
to a double complex contour integral. We begin by substituting
$k=J-p$:
\begin{eqnarray}
\omega_J(\alpha)=\alpha^2J^2\sum_{p=1}^J\frac{(-1)^{J+p}p^{\alpha
J-1}}{\Gamma(J -p+1)\Gamma[(\alpha-1)J+p+1]}. \label{eq:x16}
\end{eqnarray}
We then use the identity
$\frac{1}{\Gamma(z)}=\frac{1}{2\pi{\rm i}}\oint_C{{\rm d}}t\, e^{t}t^{-z}$
to represent the $\Gamma$ functions in (\ref{eq:x16}). The contour
$C$ is infinite and encloses the negative real-$t$ axis; $C$ can
be taken to be a circle around the origin when $\alpha$ is an
integer. Rescaling the integration variable $t$ gives
\begin{eqnarray}
\omega_J(\alpha)=(-1)^J\frac{\alpha^2J^2}{(2\pi{\rm i})^2}\oint_C\oint_{C'}{\rm d}
r\, {\rm d}
s\,r^{-(\alpha-1)J-1}s^{-J-1}\sum_{p=1}^J\frac{1}{p}\left(-\frac{s}{r}e^{r+s
}\right)^p, \label{eq:x19}
\end{eqnarray}
where we have interchanged orders of integration and summation.

Integrating (\ref{eq:x19}) by parts with respect to $r$, we obtain
\begin{eqnarray}
\label{eq:x20}
\omega_J(\alpha)=(-1)^J\frac{\alpha^2J}{(2\pi{\rm i})^2}\oint_C\oint_{C'}\frac{{\rm d}
r}{r}\frac{{\rm d}
s}{s}r^{-(\alpha-1)J}s^{-J}\frac{r-1}{\alpha-1}\sum_{p=1}^J
\left(-\frac{s}{r}e^{r+s}\right)^p.
\end{eqnarray}
We also integrate (\ref{eq:x19}) by parts with respect to $s$:
\begin{eqnarray}
\label{eq:x21}
\omega_J(\alpha)=(-1)^J\frac{\alpha^2J}{(2\pi{\rm i})^2}\oint_C\oint_{C'}\frac{{\rm d}
r}{r}\frac{{\rm d}
s}{s}r^{-(\alpha-1)J}s^{-J}(s+1)\sum_{p=1}^J\left(-\frac{s}{r}
e^{r+s}\right)^p.
\end{eqnarray}
We then evaluate the finite geometric sums in (\ref{eq:x20}) and
(\ref{eq:x21}) using the identity $\sum_{p=1}^J
a^p=(a^{J+1}-a)/(a-1)$, where $a=-e^re^s s/r$. The representation
for $\omega_J(\alpha)$ simplifies when we combine the right side
of (\ref{eq:x20}) multiplied by $(\alpha-1)/\alpha$ and the right
side of (\ref{eq:x21}) multiplied by $1/\alpha$, and then replace
$s$ by $-s$:
\begin{eqnarray}
\omega_J(\alpha)=\frac{\alpha
J}{(2\pi{\rm i})^2}\oint_C\oint_{C'}{{\rm d}}r\,{{\rm d}}s\; (s-r)r^{-\alpha
J-1}\,e^r\frac{e^{J(r-s)}-r^Js^{-J}}{se^r-re^s}. \label{eq:28}
\end{eqnarray}

The term proportional to $e^{J(r-s)}$ in the integrand of
(\ref{eq:28}) is analytic in $s$ along the real-$s$ axis for
$s\leq0$. Hence, by shrinking the contour to a small circle about
the origin in the complex-$s$ plane, we find that the integrand
does not contribute to the asymptotic behaviour of (\ref{eq:28})
for large $J$. We have thus reduced the expression for $\omega_J(
\alpha)$ to
\begin{eqnarray}
\omega_J(\alpha)=\frac{\alpha
J}{(2\pi{\rm i})^2}\oint_C{{\rm d}}r\,r^{-(\alpha-1)J-1}
\oint_{C'}{{\rm d}}s\,s^{-J}\frac{(r-s)e^r}{se^r-re^s}. \label{eq:29}
\end{eqnarray}
Also, because the integral $\oint{\rm d} s\,s^{-J}$ vanishes for
integer $J>1$, we may simplify (\ref{eq:29}) further by adding
$s^{-J}$ to the integrand of the $s$ integral:
\begin{eqnarray}
\omega_J(\alpha)=\frac{\alpha
J}{(2\pi{\rm i})^2}\oint_C{{\rm d}}r\,r^{-(\alpha-1)J}
\oint_{C'}{{\rm d}}s\,s^{-J}\,\frac{e^r-e^s}{se^r-re^s}. \label{eq:30}
\end{eqnarray}

Note that the integrand of (\ref{eq:30}) is singular if
\begin{eqnarray}
se^r-re^s=0, \label{eq:31}
\end{eqnarray}
as long as $e^r-e^s$ does not vanish. Clearly, (\ref{eq:31}) is
satisfied when $r=s$, but the numerator of the integrand in
(\ref{eq:30}) also vanishes when $r=s$. Thus, it may appear at
first that there is no singularity at $r=s$. However, for the
special point $r=s=1$ the denominator has a higher-order zero than
the numerator and thus the integrand is singular there. To find
the asymptotic behaviour of (\ref{eq:30}) we must perform a
steepest-descent analysis. However, if we look for a saddle-point
of the double integral, we find that it is located near the
singular point $r=1$ and $s=1$, which complicates the asymptotic
analysis enormously. Instead, we will evaluate the $s$ integral in
closed but implicit form and evaluate the remaining single
integral in $r$ asymptotically.

It is remarkable that the transcendental equation (\ref{eq:31})
has other solutions for which $r\neq s$. These solutions cannot be
expressed in closed form. However, we have discovered an explicit
parametric solution to (\ref{eq:31}) for which $r\neq s$:
\begin{eqnarray}
r=\lambda\,e^{-\lambda}/\sinh\lambda\quad{\rm and}\quad
s=\lambda\,e^\lambda/\sinh\lambda, \label{eq:32}
\end{eqnarray}
where $\lambda$ is any complex number \cite{rrr}.

To evaluate the $s$ integral in closed form we must take the
asymmetric solutions (\ref{eq:32}) into account. We treat the $C'$
contour as a circle about the origin in the complex-$s$ plane, but
rather than considering the singularities inside this circle, we
include instead the contributions of the singularities {\it
outside} this circle because the integrand vanishes at $|s|=
\infty$ in all directions. We now solve (\ref{eq:31}) for $s$ as a
function of $r$ and denote the solution as $s=S(r)$. We then use
residue calculus to evaluate the integral (\ref{eq:30}) at the
simple pole located at $s=S(r)$. The result is
\begin{eqnarray}
\omega_J(\alpha)=-\frac{\alpha
J}{2\pi{\rm i}}\oint_C{{\rm d}}r\,r^{-(\alpha-1)J-1}
[S(r)]^{-J}\frac{r-S(r)}{1-S(r)}, \label{eq:x25}
\end{eqnarray}
where we have simplified the integrand by using the algebraic
relation in (\ref{eq:31}).

To prepare for the asymptotic evaluation of the integral in
(\ref{eq:x25}) we rewrite it in standard Laplace form in terms of
the parametric variable $\lambda$ in (\ref{eq:32}):
\begin{eqnarray}
\omega_J(\alpha)=\oint{{\rm d}}\lambda\,g(\lambda)e^{-Jf(\lambda)},
\end{eqnarray}
where $f(\lambda)=\log\left(\lambda
e^\lambda/\sinh\lambda\right)+(\alpha-1) \log\left(\lambda
e^{-\lambda}/\sinh\lambda\right)$ and $g(\lambda)=\alpha J
\sinh\lambda(1-\lambda-\lambda/\tanh\lambda)/[{\rm i}\pi(\sinh\lambda-\lambda
e^\lambda)]$.

Following standard steepest-descent techniques~\cite{bender}, we
identify the saddle point as the solution $\lambda_0$ to
$f'(\lambda)=0$, where $f'(\lambda)=
2-\alpha+\alpha(1/\lambda-1/\tanh\lambda)$. It is easy to verify
that $f( \lambda_0)>0$ when $\alpha>2$. This implies that
$\omega_J(\alpha)$ vanishes exponentially rapidly like
$\omega_J(\alpha)\sim e^{-f(\lambda_0)J}$ as $J\to \infty$ for
$\alpha>2$. However, when $\alpha=2$, $\lambda_0=0$ and
$f(\lambda_0 )=0$. In this case $\omega_J(\alpha)$ behaves
algebraically for large $J$. To find this behaviour we calculate
$f''(\lambda_0)=-2/3$. Also, $g(\lambda_0)=-2 {\rm i} J/\pi$. Thus,
the leading steepest-descent calculation shows that $\omega_J( 2)$
diverges as $J\to\infty$:
\begin{eqnarray}
\omega_J(2)\sim-\frac{2{\rm i}
J}{\pi}\int{{\rm d}}\lambda\,e^{2J\lambda^2/3}
\sim\frac{2\sqrt{3}}{\sqrt{\pi}}\sqrt{J}\quad(J\to\infty).
\end{eqnarray}
This reproduces the result of the Richardson extrapolation in
(\ref{eq:x14a}) and we identify
$\frac{2\sqrt{3}}{\sqrt{\pi}}=1.9544100476\ldots$.

In summary, we have shown that as the number of energy levels
increases, the normalised density of states $\mu(E)$ approaches
zero when $E\neq1/2$ and diverges when $E=1/2$. From this result
and the normalisation condition satisfied by $\mu(E)$, we conclude
that in this limit $\mu(E)\to\delta(E-1/2)$. Thus, according to
the postulate that every quantum state associated with a given
energy $E$ must be realised with equal probability in
microcanonical equilibrium, the density of states associated with
a system having a nondegenerate linear energy spectrum approaches
a delta function in the thermodynamic limit. It follows that in
this limit the energy of the system can assume only one value.
Whether an analogous result holds for an interacting system having
a degenerate spectrum is an interesting open question.

\vspace{0.5cm}
\begin{footnotesize}
\noindent CMB is supported by the US Department of Energy and DCB
is supported The Royal Society.
\end{footnotesize}

\vspace{0.5cm}

redpajama_set_name: RedPajamaArXiv


As part of the redevelopment of University Mall, Cardinal Bank opened a new standalone branch that reflects the AHSa developed design guidelines. In keeping with the Cardinal Bank brand AHSa designed the interior of this branch with the modern, open floor plan, glass walled offices and meeting rooms maximize the spacious feel of the branch. ASHa was able to utilize natural daylight throughout the space by incorporating industrial ceilings with suspended acoustic tileclouds. The finishing touches on the interior include custom millwork, and cardinal red accents combined with state-of-the-art technology making it a modern banking experience. AHSa overcame the on a site constraints of an adjoining restaurant, to design the freestanding branch including two full service lanes and one ATM lane under a canopy.


The sums come as the races are drawing increasing attention from the national parties: Martinez and Garcia have major backing from the Democratic Congressional Campaign Committee, which is seeking to expand the party's majority in the House.
And the Diaz-Balarts — who have faced only token opposition since first getting elected — are getting a similar boost from House Republicans.
Pelosi's top lieutenants have contributed to all three Democrats and Rangel, a New York congressman, raised money for Garcia and contributed to Taddeo.
But the Diaz-Balarts also benefited from a powerful fundraiser: President Bush, who in a visit last month to Naples, raised more than $600,000 for the brothers and the Republican Party of Florida.
Martinez's campaign said the figure makes him one of the top House fund-raisers in the country — a boast echoed by national Democrats.
Martinez's campaign claims much of his support is from Republicans.
''We have attracted such great support from registered Republicans because they know that I'm able to work across party lines to improve the economy, lower the cost of health care and gas, and help get us out of Iraq,'' Martinez said.
Lincoln Diaz-Balart criticized Martinez for failing to disclose the names and identities of various donors he said contributed a total of $378,000 to the Democrat's campaign.
Garcia said most of his contributions are from small donors who gave his campaign $200 or less.
''That so many people have donated to our campaign shows that Joe Garcia's message of putting South Florida first and restoring common-sense solutions to Washington is resonating,'' said campaign spokeswoman Melissa Agudelo.
Garcia's contributions include $1,000 from Sergio Bendixen, the Democratic pollster whose recent poll showed Garcia and Martinez within striking distance of the Diaz-Balarts. The firm's vice president, Fernand Amandi, also contributed $500 to Garcia.
The reports show contributions from a number of leading Democrats, including House Majority Leader Steny Hoyer and Rahm Emanuel, the former chair of the Democratic Congressional Campaign Committee.
Though Ros-Lehtinen appears in the Bendixen poll to have a comfortable lead over Taddeo, her fund-raising report suggests she's taking the challenge seriously. Ros-Lehtinen raised almost twice as much as her first fund-raising quarter.
Taddeo contributed her own money to the campaign for the second time — this time for $170,000. She has $457,105 on hand.


text:
Q: Timezone convertion between tickers (part 2) This is a follow-up to my previous question about Timezone convertion between tickers.
In that previous question, I asked about coloring the background.
Now I'm plotting lines.
I have high/low/close levels which either fall

*

*within the SPX session (blue lines)

*outside the SPX session (red lines)

Both levels are plotted on an ES1! chart again, which is in a different timezone than SPX (1 hour difference).
This is my current script for the lines
//@version=4
study("SPX level on ES1!", shorttitle="SPX>ES1!", overlay=true)

f_data_SPX_daily_preSession() =>
    float   _h = na      // High
    float   _l = na      // Low
    float   _c = na      // Close

    if year==2020 and month==06
        if dayofmonth==01
            _h:=3040,_l:=3000,_c:=3020
        else if dayofmonth==02
            _h:=3060,_l:=3020,_c:=3040
        else if dayofmonth==03
            _h:=3080,_l:=3040,_c:=3060
        else if dayofmonth==04
            _h:=3100,_l:=3060,_c:=3080
        else if dayofmonth==05
            _h:=3120,_l:=3080,_c:=3100

    [_h,_l,_c] // Return the values

f_data_SPX_daily_inSession() =>
    float   _h = na      // High
    float   _l = na      // Low
    float   _c = na      // Close

    if year==2020 and month==06
        if dayofmonth==01
            _h:=3050,_l:=3010,_c:=3030
        else if dayofmonth==02
            _h:=3070,_l:=3030,_c:=3050
        else if dayofmonth==03
            _h:=3090,_l:=3050,_c:=3070
        else if dayofmonth==04
            _h:=3110,_l:=3070,_c:=3090
        else if dayofmonth==05
            _h:=3130,_l:=3090,_c:=3110

    [_h,_l,_c] // Return the values

f_getColor(_t, _color) => na(_t[1]) ? color(na) : _color

// Session times
in_spx_session = security("SPX", timeframe.period, time(timeframe.period, "0930-1600"), gaps=barmerge.gaps_on)
pre_spx_session = na(in_spx_session) and time(timeframe.period, "0000-0929")
//pre_spx_session = security("SPX", timeframe.period, time(timeframe.period, "0000-0929"), gaps=barmerge.gaps_on)

// Pre-Session data
[pre_hi, pre_lo, pre_cl] = f_data_SPX_daily_preSession()
preSession_color = f_getColor(pre_spx_session, color.red)
plot(pre_spx_session ? pre_hi : na, color = preSession_color, title="pre_hi")
plot(pre_spx_session ? pre_lo : na, color = preSession_color, title="pre_lo")
plot(pre_spx_session ? pre_cl : na, color = preSession_color, title="pre_cl")

// In-Session data
[ses_hi, ses_lo, ses_cl] = f_data_SPX_daily_inSession()
inSession_color = f_getColor(in_spx_session, color.blue)
plot(in_spx_session ? ses_hi : na, color = inSession_color, title="ses_hi")
plot(in_spx_session ? ses_lo : na, color = inSession_color, title="ses_lo")
plot(in_spx_session ? ses_cl : na, color = inSession_color, title="ses_cl")

// Background
bgcolor(in_spx_session ? color.yellow : color.blue)

Which yields this chart on ES1!

As you can see, the red lines start at exactly 00:00 on ES1!.
That is because the time() part in the following line is evaluated in the timezone of ES1!.
So this outcome is expected (but not wanted).
pre_spx_session = na(in_spx_session) and time(timeframe.period, "0000-0929")

Now for my question, which is 2-fold:

*

*What I would like is for the red lines to start at 00:00 in SPX time.
At that time, it's only 23:00 in ES1! time.
I know I could hard code that, but I'd prefer not to.

*The red lines are currently connected, but I'd like them to be disconnected, like the blue lines.
Does anyone have an idea on how that can be accomplished?

A: *

*There's no way to access data outside regular hours once you go through security(), so we can forget about going that route.

*Given that you are stuck with evaluating the condition on the chart's info, there's no way around hard-coding the condition, afaict.

*If you do that, you'll need to fudge the f_data_SPX_daily_preSession() function or calls to it because it will then need to return the same levels on 2 different dates (the date of the 23:00 bars and that of the next ones).

Nice way to manage your color with f_getColor().

redpajama_set_name: RedPajamaStackExchange


Prince Industries Stainless Steel Jaw Crusher, Rs 125000 /unit | ID .
Jaw Crusher is used for crushing a wide variety of hard material like line, marble, granite, rock, dolomite, bentonite, coal and ferro-alloys. Single Toggle.
Manufacturer of Jaw Crusher - Jaw Crusher Machine, Single Toggle Jaw Crusher . and soft rocks and ores such as slag, construction materials, marble, etc.
single toggle jaw crusher design drawing · brand new sand dredging machine manufacturer in germany · conception d une machine qui fait des gants longs en.
Assmbely Of Double Togle Roll Mining Mill - line mill,crusher .
Jaw Crusher, Double Toggle Jaw Crushers, Single Double Toggle Jaw Crushers are . 2PG Series double roll stone crusher for mining marble,ore . Bm6 Three.
We're located in Yorkshire, Selby and supply portable crushers for customers . The TC50 Series towable tractor powered jaw crusher is designed for crushing marble, . It comes in the size 650mm x 400mm, with hydraulic single toggle jaw.
223 products . Single Toggle Jaw Crusher, Wholesale Various High Quality Single Toggle . Reasonable price single toggle primary marble jaw crusher plant with.
Single toggle jaw crusher with jaw aperture of 400mm x 170mm. . These crushers will crush Concrete, Kerbstone, Marble, Paving Slabs, Bricks, Tiles, Blocks,.
PE / PEX series jaw crusher developed by our company is a type of single toggle jaw crushers, which is mainly used in primary crushing of hard, medium hard.
Manufacturer, Exporter & Supplier Of Single Toggle Jaw Crushers .. 28, Single Toggle Jaw Crusher, Naveen Marbles Pvt. Limited, 12 x7, 01 No. Udaipur, 5/7/.
Toggle plate jaw crusher is usually used as primary crusher in quarry . for various materials with anti-pressure strength below 320Mpa, such as granite, marble, basalt, .. total only a single 1/2" but produces substantial stress to crush material.
Dec 5, 2016 . Now chatting: .leawaysschool/solution Contact Us: .leawaysschool mobile stone crusher manufacturer in.
Apr 4, 2017 . The kinematic analysis of single toggle jaw crusher shows that the forces on the moving jaw plate at different crank angle are different and.
rock crushing toggle mechanism_5 Tph To 200 Tph Jaw Crusher Plant With Competitive . Anthracite Marble Crushing Rotary Rock Breaking Gravel Ballast . . Single Toggle Jaw Crusher, Wholesale Various High Quality Single Toggle Jaw.
advantages of single toggle jaw crushersingle toggle jaw crusher repair and overhaul manualdouble toggle jaw stone crusher in indiaanimation of double toggle jaw crushersingle toggle jaw crusher south africajaw crusher toggle plate specsmini single toggle crushertoggle plate for jaw cruchersingle double toggle jaw crusherdouble toggle jaw crusher constructionpe single toggle jaw crushersdouble toggle vs single toggle crusherused single toggle jaw crusherallis jaw crusher toggle platesingle toggle and double toggle jaws crusherillusstration of a single toggle jaw crusherdifference between single and double toggle jaw crusherdouble toggle jaw crusher designdouble toggle jaw crusher informationdouble toggle roller bearing jaw crusher for sale I am a super blog heading, isn't it?


text:
namespace BABYLON {

TransformFeedbackExtension::TransformFeedbackExtension(Engine* engine) : _this{engine}
{
}

TransformFeedbackExtension::~TransformFeedbackExtension() = default;

WebGLTransformFeedbackPtr TransformFeedbackExtension::createTransformFeedback()
{
  return _this->_gl->createTransformFeedback();
}

void TransformFeedbackExtension::deleteTransformFeedback(const WebGLTransformFeedbackPtr& value)
{
  _this->_gl->deleteTransformFeedback(value.get());
}

void TransformFeedbackExtension::bindTransformFeedback(const WebGLTransformFeedbackPtr& value)
{
  _this->_gl->bindTransformFeedback(GL::TRANSFORM_FEEDBACK, value.get());
}

void TransformFeedbackExtension::beginTransformFeedback(bool usePoints)
{
  _this->_gl->beginTransformFeedback(usePoints ? GL::POINTS : GL::TRIANGLES);
}

void TransformFeedbackExtension::endTransformFeedback()
{
  _this->_gl->endTransformFeedback();
}

void TransformFeedbackExtension::setTranformFeedbackVaryings(const WebGLProgramPtr& program,
                                                             const std::vector<std::string>& value)
{
  _this->_gl->transformFeedbackVaryings(program.get(), value, GL::INTERLEAVED_ATTRIBS);
}

void TransformFeedbackExtension::bindTransformFeedbackBuffer(const WebGLDataBufferPtr& value)
{
  _this->_gl->bindBufferBase(GL::TRANSFORM_FEEDBACK_BUFFER, 0, value->underlyingResource().get());
}

} // end of namespace BABYLON

redpajama_set_name: RedPajamaGithub


text:
Q: How to come out of method execution based on a condition in protractor? I'm a Java developer and new to protractor. I'm trying to iterate through a dynamic web table in a web page and trying to find out a particular user name and open his profile. Once I open his profile, I want my test method to stop execution and return. But the return statement doesn't work and the for loop still runs. Could anyone please help me with this? Below is my method.
searchUser() {
// Iterate through the user listing table
 browser.driver.findElement(by.css('.slds-max-medium-table--stacked-horizontal')).then(function (table) {
  table.findElement(by.tagName('tbody')).then(function (tbody) {
    tbody.findElements(by.tagName('tr')).then(function (rows) {
       for (var i = 0; i < rows.length; i++) {
        rows[i].findElements(by.tagName('td')).then(function (cols) {
          cols[1].getText().then(function (user) {
            if (user == "ADAM SMITH") {
              // found user, open his profile
             cols[1].click();
             return;

            }
          });

        });
      }
      // user not found in the current page. Click on next page and continue search
      element(by.xpath("//*[@id='main']/div/app-users-profile/users-listing/form/div[2]/div/div/div/div[2]/div/button")).click();
      browser.sleep(3000);
      var currentPage = new LoginPage();
      currentPage.searchUser();

        });
    });
  });

}

A: I try to make as less differences as I can.
async function searchUser () {
  let result = false;
  while (!result) {
    const table = browser.$('.slds-max-medium-table--stacked-horizontal');
    const tbody = table.$('tbody');
    const rows = tbody.$$('tr');
    await rows.map(async (row) => {
      const column = row.findElements(by.tagName('td')).get(1);
      const name = await column.getText();
      if (name === 'ADAM SMITH') {
        await column.click();
        result = true;
      }
    });
    if (!result) {
      await element(by.xpath("//*[@id='main']/div/app-users-profile/users-listing/form/div[2]/div/div/div/div[2]/div/button")).click();
      await browser.sleep(3000);
      const currentPage = new LoginPage();
      await currentPage.searchUser();
    }
  }
}


Elisabeth's probable genealogy is here.
From pinterest baroque women; enlarged by half. Also posted the the Reoign of Louis XV - 1715 to 1774 Album.
Elisabeth wears an opulent dress under an exuberant coiiffure decorated with draped pearls and flowers.


Wash the crosnes by soaking them in water and scrubing gently with a vegetable brush, taking care to get all dirt and sand out of the nooks and crannies.
Heat olive oil over medium-high heat in a heavy pan. Add the crosnes, season with salt and pepper, stir, and cook for 5 minutes. Add butter and water, reduce heat to a simmer, and cook for about 10 more minutes or until tender. Add fava beans and heat through. Remove from heat and drizzle with truffle oil.
Heat olive oil in a medium skillet. Dredge snapper in flour and saute until cooked through and slightly golden, about 3 minutes per side.
Divide favas and crosnes among 2 plates. Top with snapper and serve.
To prepare fresh fava beans: With your fingers, pop open the bean pods along their seams and pull out the individual fava beans. Use a thumbnail to split open the tough outer skin of each bean, then peel it off with your fingertips.


"Challenger 2 Tank." The British Army. United Kingdom Armed Forces, n.d. Web. 21 Oct. 2013.
"Vehicles and Equipment." British Army. Defence Public Relations, n.d. Web. 21 Oct. 2013.
"Challenger 2 Main Battle Tank." Military Analysis Network. Federation of American Scientists, 18 June 1999. Web. 21 Oct. 2013.


text:
Fashion Kyiv Ukraine Style & Design Art & Culture
In vogue: ten designers proving Kiev is the fashion capital of the new east
Kiev Now: Part One
Fashion is an unfortunate career choice during troubled times: it requires big investment, reliable infrastructure and a commitment to strict industry deadlines. This is perhaps why hardly any of the new east countries have produced a substantial amount of new fashion designers in the last decade — apart from Ukraine. Creating collections in the middle of economic and political havoc takes a lot of passion and stubbornness, and that's exactly what these designers have got.
The new vanguard of Kiev talent came into the spotlight just after the revolution in 2014 as the whole world wanted to make sense of what was happening on Maidan Nezalezhnosty. Fashion might be far removed from the reality of the barricades, but in contemporary Ukrainian culture the personal and political seem to go hand in hand. Collections bear the fragments of Kiev and Ukraine's recent turmoil, the designers' heritage and hopes for the future. Ukrainian designers don't need to invent an identity for themselves, they proudly wear it on their sleeves, which may be the true secret of their growing recognition in the world. Here are ten designers from Kiev to watch out for.
Lilia Litkovskaya set up her label in 2009. The idea of duality is key to her work: whether it's the concept of gender binary, contrasting materials and silhouettes, or, as in her most recent collection, Carousel 4.20, the opposition of east and west. In this collection the designer uses the image of girls dressing up as geishas to go raving to address the way Japanese aesthetics are perceived in the West. Litkovskaya's signature is statement coats: oversized geometric garments made of tailored hard fabric with the boldness of brutalist architecture.
Probably the most internationally renowned Ukrainian designer, Anton Belinskiy was nominated for the prestigious LVHM prize in 2015. Oversized jackets evoking 90s tracksuit tops which he presented to the jury in Paris were proudly adorned with what seemed to be the slogan of today's Ukrainian youth: Poor But Cool. The Spring Summer 2016 collection followed suit with bold colours, loose-fitting silhouettes, collage-like approach and slogans — this time drawing inspiration from Joseph Beuys's statement that "Everyone is an artist".
Yulia Yefimtchuk+
Yulia Yefimchuk creates minimal workwear-style pieces which look very contemporary, but also smartly repurpose Soviet heritage. The latest collections explore both the utopian dream of colonising Mars and the traumatic history of the Berlin Wall (she even based her print on Dmitry's Vrubel's iconic graffiti My God, Help Me to Survive This Deadly Love). Yefimtchuk works with strong colours — mainly red, black and white and geometric shapes.
Ksenia Schnaider
The Ksenia Schnaider label was set up by Ukrainian fashion designer Ksenia Marchenko and Russian graphic designer Anton Schneider. Anton is responsible for the label's signature camouflage prints and Ksenia for the clothing design. The duo is inspired by the uniformity of workwear, which adds a rough edge to their otherwise feminine style, working a lot with new technologies: creating a digital atelier or designing a pixelated version of traditional Ukrainian flower embroidery. The label is also one of the first in Eastern Europe to be represented and sold in Asia, appearing as part of the recent Chengdu Fashion Week in China.
Sasha Kanevski
The only designer creating menswear among the emerging talents, Sasha Kanevski established his eponymous brand in 2010. He combines sharp tailoring and smart functionality, with anatomical cuts, transformable details and high-tech materials, to create a very contemporary urban feel. He designs both for men and women, and lots of his garments could easily be unisex. He channels the new rebellious spirit of raving Kiev, but with a global appeal.
Minimalist Svetlana Bevza is the perfect designer for a post-Celine combination of comfort and style. Her work is characterised by purity, monochrome, clean lines and a graphic cut, sometimes with a subtle use of print. One of her brand's key garments is the white dress - a must-have and a symbol of purity in its approach to design.
Anna October's designs are deliberately feminine, sometimes to an extent which is often not appreciated in contemporary fashion. She uses flower patterns, gold and silver, even shiny tinsel but in a way that takes these out of the rank of tasteless clichés. Her signature is oversized flared tops and dresses with open shoulders — a playful yet strong design.
Omelya
Kostya Omelya is no stranger to bold statements: one of his bestselling hits is a T-shirt dress adorned with pink feathers and huge print saying "RELAX". He combines all things outrageous — pink, slogans, leopard print — with strong tailoring and voluminous silhouettes: perfect for garnering likes from the social media savvy audience.
Kostya Omelya on Not Just A Label
Masha Reva
A graduate of the prestigious Fashion MA course at Central Saint Martins in London, Masha Reva is not new to fashion: apart from her own collections, she's been working on capsules with Ukrainian streetwear brand Syndicate since 2012. Her latest Syndicate collection is based on her illustrations: gems, a botanical garden, the word ВОЛЯ (Freedom) signifying Ukraine's struggle for independence are all represented as elaborate prints. Fashion aside, Reva is also a very talented artist: a ten-year archive of her drawings is available on her website.
Behind LAKE is the designer duo Natalia Kamenska and Olesya Kononova, who have been working together since 2008. The brand's signature is strong textures and voluminous silhouettes. The most recent collection features silk gowns and hypersized jumpsuits and trousers, hard workwear-inspired jackets and huge pieces of heavy fabric wrapped around the waist that hints at the Autumn/Winter 2015-6 collection by Comme des Garcons. Altogether, it creates an effortless mixture of comfort and sexuality.
Text: Anastasiia Fedorova
Is post-Maidan Kiev the new Berlin or a city making its own future?
masha reva lilia litkovskaya kyiv ksenia schnaider anton belinskiy
The calvert journal shop Exclusive limited edition prints from the new east Delivered worldwide The calvert journal shop Exclusive limited edition prints from the new east Delivered worldwide

redpajama_set_name: RedPajamaCommonCrawl


text:
Q: error: EOF for reading XML body of Post request I'm getting error: EOF on console when I read the XML response body.
Below is my code.
resp, err := http.Post(url, "application/xml", payload)
if err != nil {
    response.WriteErrorString(http.StatusInternalServerError, err.Error())
    return
}

defer resp.Body.Close()
dec := xml.NewDecoder(resp.Body)

if debug == true {
    body, err := ioutil.ReadAll(resp.Body)
    fmt.Println("=========== Response ==================")
    if err != nil {
        fmt.Printf("error: %v", err)
        return
    }
    fmt.Println(string(body))
    fmt.Println("=========== Response Ends =============")
}

err = dec.Decode(respStruct)

I suspect ioutil.ReadAll is not working as expected.
Is there a reason why it's throwing this error?

A: xml.NewDecoder(resp.Body) might already have read the content of resp.Body.
Hence the EOF message.
You can see the same error in "xml.NewDecoder(resp.Body).Decode Giving EOF Error"
Reading the resp.Body first, and using the string with xml.Unmarshal would avoid the double read and the error message.
Note: a similar answer shows that the best practice remains to use xml.Decoder instead of xml.Unmarshal when reading from streams.
So make sure you don't read resp.Body twice, and it will work.


text:
Home Reviews Dobot Rigiet Gimbal Review: Bang for Buck
Dobot Rigiet Gimbal Review: Bang for Buck
This post has been sponsored by Dobot.
Varun Mirchandani -
Last Updated: July 2, 2018 1:42 pm
Smartphones and Action Cameras these days offer video quality that's good enough for home videos and/or making YouTube content. While technologies such as Optical Image Stabilization (OIS) are here, it is still not common across all devices. As such, a handheld gimbal can help the user in capture smooth, stable, and steady videos. While the DJI Osmos Mobile is the proven expert in this segment, there seems to be a new kid in town.
Dobot, the Chinese company based in Shenzhen that's previously made robotic arms, has now brought forth its own handheld gimbal, the Dobot Rigiet. The gimbal offers some great features, at just $269, which is almost half the price of the Osmos. But is the gimbal actually that good? Let's find out as we do an in-depth review of the Dobot Rigiet Gimbal:
Dobot Rigiet Specs
The Dobot Rigiet carries some impressive specs for its price and is compatible with a plethora of smartphone devices out there. Below is a list of the detailed specifications of the gimbal:
Weight 430 (bare machine) +50 (battery) =480g
Dimensions 288×120×35mm
Mechanica Range of Gimbal (Pan) 300°
Mechanica Range of Gimbal (Roll) 270°
Mechanica Range of Gimbal (Tilt) 300°
Stabilizing precision ±0.01°
Battery voltage 3.7V
Static stable battery life 5.5h
Dynamic stable battery life 3h
Weight of compatible smartphone 100g~230g
Width of compatible smartphone 56mm~85mm
Thickness of compatible smartphone No more than 8mm
Alongside the gimbal itself, the company provides some decent accessories as well, such as:
Dobot Rigiet Gimbal
Portable bag
Moisture-proof agent
1/4 sling screw
Handle sling
Product package
Design and Build Quality
The design is probably the first thing you'll notice about the Dobot Rigiet, and I can assure you that it is quite aesthetic. For $269, you get a gimbal with a solid metal grip and a form-factor that is comfortable to hold, even for those prolonged shooting sessions.
The handle of the gimbal has a rubber grip on it that feels quite comfortable and gives you a sense of confidence while using it. There's a joystick to control your phone/camera's movements, followed by the power button.
Above the power button is a single status LED. While for some devices, a single status LED works fine, such is not the case here. You'll have to resort to the user manual to try and remember all the various modes and statuses that the LED is trying to tell you. Personally, I felt that adding another LED to denote calibration for the stabilizer motor would have been better, rather than mixing the two things together.
The right side of the gimbal has two slider buttons, the 3-position switch, which is then followed by the zoom control switch. The former one has three modes – Y, L, and YP, that mean Pan follow, Lock, and Yaw & Pitch follow respectively. The zoom control switch below it, has two modes, zoom in and zoom out, but can be used in various modes depending upon the direction and duration of switching the toggle.
On the left side of the gimbal, you get a micro-USB port for charging the gimbal. The 2600mAh battery that comes included in the package, should last you for three hours before asking for a recharge. In all honesty, that's quite good. Furthermore, there's another micro-USB port up top, near the phone mount, allowing you to charge your mobile device while shooting.
Overall, the design of the Dogot Rigiet feels solid. Yes, it's made of metal, with plastic used in the control button, and that certainly makes it feel solid and sturdy enough.
The performance of the gimbal is what most users are concerned with since that's an area that calls for zero compromises. In my experience with the Dobot Rigiet, I found the gimbal to work very well. The gimbal comes with three precision motors that allow you to control roll, pitch, and yaw.
I tested the gimbal extensively with my iPhone 8 Plus, and the quality is top-notch. All three modes work pretty well, and I was able to capture some really nice footage out with my smartphone. Also, many users have often questioned me what effect does a gimbal have on a device with OIS? That's why I tried the gimbal with my iPhone X as well, with dual OIS lenses.
While the iPhone X's camera setup is capable of capturing great videos on its own, having a gimbal attached does bring forth a lot of difference.
That being said, no matter how user-friendly a gimbal might be, there's always a learning curve to it. You'll have to devote your time and practice a lot before properly understanding how you want your shots to look like in order to capture some really good footage. Having said that, once you understand how a gimbal practically works, the Dogot Rigiet certainly aids you a lot in recording some really nice footage.
Dobot Rigiet Companion App
One of the really cool features of the Dobot Rigiet is the companion app. The app is available for both Android (free) and iOS (free) smartphone devices. Apart from the standard shooting options, the app allows you to use the gimbal's power button as a capture button for your smartphone, as well as make use of the zoom buttons I mentioned earlier.
But that's all the basic stuff. The app also comes with some cool features that really make the whole app+gimbal experience worthwhile. One of these features is the fact that you can use the companion app to take effortless panoramas. You just ask the app to capture the panoramic image, and the gimbal will automatically move the phone to take a series of photos and then stitch them together.
Another great feature is the auto-tracking feature. Similar to DJI's Active Track feature, you just draw a rectangle around your subject and the gimbal will then turn to follow it as it moves. That being said, like most gimbals and cameras that implement this feature, the tracking fails if the subject moves too quickly or goes out of the frame.
While I did like almost everything about this app, the only downside is the fact that the app saves all the images and videos within the app itself. So basically, it requires you to take the extra step of going through different menus to save the footage to your device locally.
Worth Your Money?
For a price tag of $269 (you can get the gimbal for $219 right now as part of the Christmas and holidays sale), you get a 3-axis gimbal with plenty of accessories, and a performance that, if not matches, at least competes with the DJI Osmo Mobile.
Yes, it does have a learning curve to it, but it is a gimbal that's suitable for both amateurs as well as intermediate videographers.
The companion app works great as well, and apart from the complicated task of saving images/videos, does provide useful features for the user.
Note: You can use the code UOJJC6IT on Amazon to get a 10% discount on the Dobot Rigiet gimbal.
Decent and Sturdy Build Quality
3-axis Motor Works Well
Companion App is a nice addition
Use of a single status LED complicates things
Dobot Rigiet Gimbal: Capture Steady Videos Easily
The Dobot Rigiet Gimbal proves to be a worthy accessory that allows you to record videos easily, that are smooth and stable. For its competitive price tag and the great performance, the gimbal proves to be a worthy competitor to the DJI Osmo Mobile and the GoPro Karma Grip. All in all, the gimbal is a good option for both amateur and experienced users alike. If you're into mobile videography, you can't go wrong with the Dobot Rigiet.
The Dobot Rigiet gimbal proves to be a strong performer with all the bells and whistles at a very competitive price point. Though it does have a slight learning curve to it, the device gives the best-in-class gimbals a run for their money.


text:
Home»Toronto»Experience»Trip Ideas»One Day Trips»Discover Unique Sculptures of the Haliburton Sculpture Forest
Discover Unique Sculptures of the Haliburton Sculpture Forest
Published by To Do Canada On September 16, 2020Leave a response
Credit: Haliburton Sculpture Forest
Appreciate stunning masterpieces surrounded by nature at Haliburton Sculpture Forest. The sculpture collection includes works by Canadian and international artists, and currently, there are thirty-four sculptures and six unique benches.
WHAT TO SEE & DO HALIBURTON SCULPTURE FOREST
Discover the sculptures and stories of the Haliburton Sculpture Forest through guided tours or self-guided walks along the many trails of the forest.
Each sculpture tells a story, one such example is a granite sculpture, 'To Cut or Not To Cut'. It describes a conversation between a father and son, over a stump of a tree that has been felled. It implies the conversation that we have amongst ourselves, on whether we should conserve our environment or fulfill our ever-growing needs.
'Evolution', is a bench carved out of a large granite boulder, which has been extended by a red metal bench. This sculpture tells a story of how in the beginning people used to carve objects out of stone and now we use metal that has been derived from stone.
'Flying Debris' is a beautiful sculpture of the Blue Heron. What makes this sculpture so unique is how it is made of mechanical hardware, re-bar and tools that have been shaped into a bird. Other animal sculptures include: a Beaver made of cement, a Moose made of metal objects and an eye-catching sculpture of a horse and its rider as one.
Flying Debris; Credit: Haliburton Sculpture Forest
'Fire and Ice: A Really Big Shoe' is exactly what its name is! The sculpture is a 2 metre tall shoe, made of red and white glass beads and steel wires.
Another colourful sculpture is 'Redwing Frond', which is a 14 feet high compass needle with gorgeous coloured panels. It looks like a massive colourful feather!
Redwing Frond; Credit: Haliburton Sculpture Forest
A sculpture titled 'Visionary', is a tribute to Sir Sandford Fleming, who made several contributions to the Peterborough community and the rest of the world. One of his many contributions was the establishment of Universal Standard Time. Therefore, this sculpture includes a compass, time, significant dates in his life and the globe.
TRIP PLANNING – Haliburton Sculpture Forest
Credit: Miles Brenneman/Flickr
Why to go:
See thirty-four and counting incredible structures, made of different materials set in fabulous forest. Hike through the trails and enjoy intricate works of art amidst hues of reds and yellows during fall or discover the sculptures enjoying the cool breeze during summer. There are picnic tables in Glebe Park near the entrance to the Sculpture Forest.
When to go:
Haliburton Sculpture Forest is open year-round from dawn to dusk.
In the winter, enjoy nordic skiing on the lit ski trails in the Sculpture Forest. You can also snowshoe in the forest.
Guided Tours:
Haliburton Sculpture Forest offers guided tours (cancelled for the 2020 season due to COVID-19). Your's Outdoors offers guided tours with pre-registration during 2020 to small groups, throughout the summer and fall of 2020. The tour includes a 1.5 hour hike through the beautiful forest, where the sculptures are brought to life through story-telling. The maximum number of people in a group is nine and the cost varies according to the group size. The price per person is $15 and the tour costs half of that price for people between the ages of 3-16 years. The tour is completely free for children who are 2 years old and younger!
How much to go:
This is a great place to visit with your friends and family because the tickets are inexpensive (donation) and you learn to appreciate art and the stories behind each masterpiece.
Admission is by donation during summer and fall and free admission during spring.
Trail passes are required for Nordic skiing in the winter which can be purchased at the trailhead.
How to go:
Address: 297 College Drive, Haliburton//66 Museum Road, Haliburton
Located in the village of Haliburton in Glebe Park, Haliburton Sculpture Forest is approximately 3 hours drive from Toronto, 3.5 hours from Ottawa.
Parking is available at both entrances to Glebe Park.
Glebe Park is home to the Haliburton Highlands Museum, Haliburton Sculpture Forest and Fleming College, Haliburton School of The Arts.
20 Sculpture Gardens to Visit in Ontario
Sculpture gardens are the perfect blend between nature and art, featuring art installations from local and international artists and concerning multiple different themes. As you stroll or bike through these outdoor galleries, you'll find yourself experiencing a unique story at each location. Windsor Sculpture Park Located on the shores of ...
25 of the Best Things to Do in Haliburton Highlands During Summer
Located 2.5 hours north of Toronto, the Haliburton Highlands is sure to steal your heart and leave you longing for a more laid-back lifestyle. While the lakes and forests in the area tend to be the focus, the Haliburton Highlands also has a thriving arts and culture community, making it ...
Posts Information
Multi City : 38,11,34,6
Categories: One Day Trips,Places to Visit & Things to Do
Scarborough Bluffs Park
Rouge Beach Park & Rouge Marsh
Ashbridge's Bay Park


text:
Il Gran Premio d'Argentina 1960 si è svolto domenica 7 febbraio 1960 sul circuito di Buenos Aires. La gara è stata vinta da Bruce McLaren su Cooper, seguito da Cliff Allison su Ferrari e da Maurice Trintignant su Cooper.

Qualifiche

Gara
I risultati del GP sono stati i seguenti:

Statistiche

Piloti
 2° vittoria per Bruce McLaren
 1° e unico podio per Cliff Allison
 10º e ultimo podio per Maurice Trintignant
 20° podio per Stirling Moss
 1º Gran Premio per Nasif Estéfano e Gino Munaron
 1° e unico Gran Premio per Roberto Bonomi, Ettore Chimeri, Antonio Creus e Alberto Rodríguez Larreta
 Ultimo Gran Premio per José Froilán González, Harry Schell e Carlos Menditeguy

Costruttori
 8° vittoria per la Cooper

Motori
 8° vittoria per il motore Climax
 20° podio per il motore Climax

Giri al comando
 Innes Ireland (1)
 Jo Bonnier (2-15, 21-36, 41-67)
 Stirling Moss (16-20, 37-40)
 Bruce McLaren (68-80)

Classifiche Mondiali

Piloti

Costruttori

Note

01

redpajama_set_name: RedPajamaWikipedia


These are hardcover, hand-bound editions of many misprinted or damaged posters from the 2016 calendar year. This is the fifteenth year of making this book. It's 12" by 12" by about 1.25" thick. The interior has varying prints from 2016 cropped and folded in half. Some pages are blank (since they're the backs of posters), some have text, and some do not. The edition is thirty books (signed and numbered), many of which sold to subscribers during a pre-sale.
Released here 28 April 2017.


text:
Q: KVL equations for this small signal model I could figure out how the small signal pi model is obtained from the large signal model and below shows an example circuit where I also draw the pi model:

But from this point does KVL hold? How can we write the KVL equations? The change in small signal vin is not the same thing with the change in vpi. What kind of KVL would be meaningful to form in this case? Or we should use KCL?

A: Why do you think that KVL and KCL do not hold anymore?
For your circuit we can write using KVL and KCL and because \$ v_\pi = i_b \times r_\pi\$ we can write:
$$i_e = i_b + i_c = i_b + g_m i_b r_\pi = i_b(1  +g_mr_\pi) $$
$$v_{in} = i_b r_\pi + i_e R_E = i_b r_\pi + i_b(1  +g_mr_\pi)R_E $$
And if we treat the voltage across the emitter as an output wee will have:
$$v_o = i_e R_E = i_b(1  +g_mr_\pi)R_E$$
And the voltage gain is:
$$\frac{v_o}{v_{in}} = \frac{i_b(1  +g_mr_\pi)R_E}{i_b r_\pi + i_b(1  +g_mr_\pi)R_E } = \frac{(1+g_mr_\pi)R_E}{ r_\pi + (1 +g_mr_\pi)R_E }$$
Also you should remember that :
\$g_m r_\pi = \beta\$
Why?
Because the BJT transconductance is equal to \$\large g_m = \frac{dI_C}{d V_{be}}\$ and \$\large r_\pi =\frac{d V_{be}}{dI_B} \$ therefore:
$$ g_m \times r_\pi = \frac{dI_C}{d V_{be}} \times \frac{d V_{be}}{dI_B} = \frac{d I_C}{d I_B} = \beta$$


New Delhi : Honor, a sub-brand of Huawei has launched the Honor 10 Lite smartphone in India. The handset has been engineered with Kirin 710 processor and a dewdrop notch display. Meanwhile, the 24MP Artificial Intelligence (AI) selfie camera remains the USP of the Honor device. Mentioned below is the detailed information about Honor 10 lite.
Honor 10 Lite would be available in a configuration of 4GB RAM + 64GB storage and 6GB RAM +64GB storage for Rs 17,999 in sapphire blue, sky blue and midnight black colours only on Flipkart.
"Following our devotion in photography and design in the Lite series the Honor 10 Lite also sports a range of high-end features," Suhail Tariq, Chief Marketing Officer, Huawei Consumer Business Group, said in a statement.
The Honor 10 Lite has a dual camera set-up at the back, including a 13MP primary lens and a 2MP secondary sensor.
The smartphone packs in a 24MP Artificial Intelligence (AI) selfie camera, a dewdrop display and a shimmering gradient back.
The device is powered by Kirin 710 chipset coupled with LPDDR4X RAM for improved performance.
It must be noted that Honor 10 Lite is the first Honor phone to have GPU Turbo 2.0 which helps reduce lags and frame drops. It is also the first phone from the company to run the latest EMUI 9.0 operating system (OS) out of the box.
For now, the price of Honor 10 Lite has been fixed to Rs 13,999. Hurry, before the price margin rises high!


text:
Is Soulja Boy Leaving Hip-Hop To Become An Actor?
Soulja Boy has been a successful rapper, launched a sneaker brand, and started his own label. However, there's one thing Soulja Boy has yet to do, and that's be an actor.
15 Scenes We Love From "Dont Be A Menace to South Central While Drinking Your Juice In The Hood"
"I really wanna break into Hollywood," Soulja told BET.com. "I really wanna do the correct first film and make an impression on a lot of people so they can come holla at me and wanna put me in their movies. Doing music is my first love, but I always had a passion for acting 'cause I feel like I come out natural on the camera. In the future I got a couple plans. I've been talking to Nick Cannon, who is directing this upcoming film I'm supposed to be starring in, and I think that'll be a good look, but I just gotta pick the right film and kill the part."
Would you want to see Soulja Boy in a movie? Let us know in the comments!
RELATED: Mr. Collipark Wants The Club Back, Speaks On Soulja Boy Sales
RELATED: "Whip My Hair" Songwriter Pens Diss Track To Soulja Boy [AUDIO]
soulja boy


text:
Mavi Marmara
Welcome to the New Normal: Israel and Turkey's Turbulent Relations in the Post-Reconciliation Era
In June 2016, Israeli and Turkish negotiators announced that they had reached the terms of a reconciliation agreement that would end six years of downgraded diplomatic ties between their
The Israel-Turkey Crisis and the Need for Containment
The evolving crisis between Israel and Turkey has yet to lead to an official downgrade of official ties between both countries. However, it raises a warning sign against such a development, which
Turkey-Israel deal: A key to long-term reconciliation?
Turkey and Israel have finally restored diplomatic relations based on a reconciliation deal signed on June 28, 2016, following six years of a tumultuous negotiation process. After agreement on
Supporting Israel-Turkey Reconciliation
Turkey-Israel relations experienced several peaks and valleys in the last six decades, yet the dominant narrative between the two countries emphasized their shared strategic interests in the
Disaster diplomacy: The attack that brought Israel and Turkey closer
Normalcy lacked in recent years in the relations between Israel and Turkey and should not be taken for granted It is difficult to look for the bright side of tragic events such as the recent
Time to seal the Israel-Turkey deal
Turkey and Israel face a unique opportunity: to reconcile after five years of stagnant bilateral relations. We, leaders of Israeli and Turkish think tanks that have been working together since
Palestinian reconciliation process
Palestinian inner strife which started in June 2007 seems to be on its way to an end. The two major Palestinian parties, Fatah and Hamas, entered into deliberation after realizing that current
For Netanyahu, security trumps rapprochement with Turkey
The ongoing drama between Israel and Turkey seems to be approaching its final act. However, even though Israeli Prime Minister Benjamin Netanyahu told the Anadolu Agency (AA) that Israel desires
Curing the hiccups in Israeli-Turkish negotiations
From tales of Turkish intelligence chief Hakan Fidan revealing the names of 10 Mossad assets to Iranian authorities, to El Al being locked out of the Turkish market, it is hard to find a silver
Israelis readier than ever for raid apology, poll shows
The Arab Spring appears to have changed the views of Israelis on Turkey, as a recent poll revealed that a majority favor Israel apologizing to Turkey for the 2010 killings of Turks in a
Israel Is Missing an Opportunity to Mend Ties With Turkey
In the last couple of days, Israel's Counter Terrorism Bureau has warned Israeli citizens against travelling to Turkey for fear of terrorist attacks, and Turkish Prime Minister Recep Tayyip


This Office Bathroom Designs Best Office Bathroom Ideas On Pinterest Bathroom Renos Best Decor has 768 x 1024 pixel resolution with jpeg format. Office Bathroom Design Ideas, Office Bathroom Accessories, Bathroom Wall Decorations, Contemporary Office Decor, Medical Office Bathroom Decor, Accessories For Bathroom Decorating, Home Depot Bathroom Decor was related topic with this Office Bathroom Designs Best Office Bathroom Ideas On Pinterest Bathroom Renos Best Decor. You can download the Office Bathroom Designs Best Office Bathroom Ideas On Pinterest Bathroom Renos Best Decor picture by right click your mouse and save from your browser.
Best Quick Service Restaurant Values for the Disney Dining Plan Find this Pin and more on Disney Trip-Oct 2019 by KatelynEJordan. See more28 pinsTransforming a master bedroom in a vintage French Country home.Standart Bedroom Litany offering best concept for your selected with best private home ideas and best exterior purpose to make the owner feel convenient and the good news is will cost you lower.
The Interiors Addict. Interior design and styling homewares furniture home appliances and the personalities behind themWhat a great transformation of that lofty-open vectore From a real estate point of view the built ins and wood wall are your best investment in that room.A tub goes missing an accent wall gets gone treasure falls out of the ceiling this episode of Good Bones is an emotional rollercoaster for Karen the Collector (not vectorder).
A Faire Services - Air Conditioning Services A.s.a.t.s - Australian Security and Telecommunication Services A1 Fix Plumbing A1 Marks Ceilings 0412 805 144 - A1 MARKS CEILINGS & WALLS GYPROCK & PLASTERBOARDIf youve been following along on our home renovation you know that we recently started on the master bedroom.You can see the before here.. And today we want to show you how to plank a popcorn ceiling.


text:
namespace GraduatedCylinder.Geo;

public enum GeoComparerPrecision
{

    Meter,
    Decimeter,
    Centimeter,
    Millimeter

}


I am a Highly Specialist Child and Adolescent Psychotherapist with extensive experience of working with children, young people and their families, offering safe therapeutic space to process complex feelings and experiences.
I had worked in various educational settings, including early years centres and a secondary EBD school, for over 10 years before qualifying as a Child and Adolescent Psychotherapist. In my training I had spent another six years observing and later offering treatments to very small children, even infants, but also to school-aged children and older adolescents in crisis. I have worked extensively with their parents and families.
To this day I work as part of a busy multidisciplinary team in a Child and Adolescent Mental Health service in south London.
All of this experience has given me a real sense of developmental journey through childhood, adolescence and young adulthood, which I now use to inform my way of working therapeutically with children and young people, understanding and addressing issues relevant to their age and stage of development. I specialise in emotional development, for example difficulties with controlling and expressing negative emotions in safe ways but also understanding and helping extend emotional expressions beyond bodily ways, such as self-harm and violent risk-taking behaviour.
I offer treatments tailored to individual needs of children and young people as well as their families. I focus on helping all to sustain and benefit from mutual relationships. These treatments vary in length and depth of exploration depending on most present needs and difficulties.
My approach is exploratory but firm, imaginative but focused on the most pressing issues, always building on areas of strength already present. The aim is to create a stronger sense of the child or young person, within themselves but also for their family and wider community.
Please do get in touch on 07900 000109 or at [email protected] to enquire further.


BASE is one of world's most voluminous search engines especially for academic web resources. BASE provides more than 110 million documents from more than 5000 sources. You can access full texts of about 60% of the indexed documents free (Open Access). You can also search for full document texts licensed under a Creative Commons license agreement. BASE is maintained and operated by Bielefeld University Library.
You just viewed BASE: [Open Access] Bielefeld.... Please take a moment to rate this material.
If you know the author of BASE: [Open Access] Bielefeld Academic Search Engine, please help us out by filling out the form below and clicking Send.


text:
Throwboy Founder Creates Apple Themed Parody of Ed Sheeran's 'Shape of You'
The founder of Throwboy, Roberto Hoyos, released a video on YouTube today about Apple called "Apple Forgot Me." Essentially, the song goes into detail about how he feels as though Apple has forgotten about their pro-machine users.
Throwboy Founder Creates Apple Themed Parody of Ed Sheeran's 'Shape of You'
Carpool Karaoke: The Series debuts August 8 on Apple Music
Apple today announced Carpool Karaoke: The Series will be available to Apple Music subscribers starting Tuesday, August 8. The show will feature many of today's biggest names in music, television, film, sports and pop culture buckling up and belting out… Continue Reading →
Apple updates WWDC app for WWDC 17
Today Apple updated the WWDC app for WWDC 17. The app has a nice new theme that matches the WWDC 17 style. Every year developers use the app to keep up to date with the latest keynotes and sessions. The… Continue Reading →
Apple Releases tvOS 10.2.2 Beta 2
Today Apple launches tvOS 10.2.2 Beta 2 . This update is for Apple Developers that are in the Apple Developer Program. This update is likely to have bug fixes and performance improvements.
Apple releases watchOS 3.2.3 Beta 2
Today Apple launches watchOS 3.2.3 Beta 2 . This update is for Apple Developers that are in the Apple Developer Program. This update is likely to have bug fixes and performance improvements.
Apple Releases macOS 10.12.6 Beta 2
Today Apple launches macOS 10.12.6 Beta 2 . This update is for Apple Developers that are in the Apple Developer Program. This update is likely to have bug fixes and performance improvements.
Apple Releases iOS 10.3.3 Beta 2 for iPhone and iPad
Today Apple launches iOS 10.3.3 Public Beta 1. This update is for Apple Developers that are in the Apple Developer Program. The update is likely to have bug fixes and performance improvements. The update
Opinion: Could The Apple TV Really Be the Epicenter for Television?
When unveiling the Apple TV fourth-generation, Apple CEO Tim Cook said, "The future of television is apps." At the time, I thought he was nuts. Now that it is 2017, Cook could have been completely right. The fourth-generation Apple TV… Continue Reading →
The Best MacBooks for Students
The time to buy new laptops for high school and college students has begun. Stores like Best Buy are having a lot of sales on MacBooks at the moment, which means that this could be the time to start doing… Continue Reading →
Apple Shares Three New Ads in 'Switch to iPhone' Campaign
Apple today has shared three new Apple ads for it's 'Switch to iPhone' Campaign. The first ad focuses on Security. Then the second one focuses on the iPhone's smoothness. Showing how iPhone shows better video then
Apple Shares Three New Ads in 'Switch to iPhone' Campaign
How to Save Your Data Usage on Your iPhone
Phone data is something that we all use every single day, whether it be at home, work, or school. However, if you're like almost everyone else out there, your data plan probably has a limit.
A List of Soon-To-Be Obsolete Apple Products
Every year, Apple typically adds more devices to a long list of their older products that, in their minds, have become obsolete. This could mean a variety of things but in most cases, it just means that Apple can or… Continue Reading →
Apple Orchard Road opens in Singapore
Apple yesterday has opened there first store in Southeast Asia. Braving the equatorial heat as early as Friday night, customers were greeted by Apple's Angela Ahrendts and the store's 237 employees when doors opened at 10 a.m.
Apple updates Apple Events app for tvOS
Apple yesterday has updated it's Apple Event's app to prepare to stream WWDC 2017. Apple has also took down some older Apple Events to make room for the new ones.
iPhone 8 to feature Touch ID directly on the OLED screen
A new report from Economic Daily News, indicates that the new iPhone 8 will have the touch id directly on the OLED screen.
Best Buy Memorial Day Weekend Apple Deals
Best Buy is having a huge Memorial Day Weekend sale on select Apple products. The include sales on the Apple Watch, iPhone 7, iPhone 7 Plus, iPhone SE, MacBooks, 9.7-inch iPad Pro, and iPad Mini 4, along with some deals for… Continue Reading →
Apple targets Android users with new iPhone ad campaign
Apple on Tuesday has launched a new Ad campaign focused on Android users. The ads are showing reasons why Android users should switch to iPhone.
Apple will live stream WWDC 17 keynote on June 5 at 10AM PT
Apple is now promoting WWDC 2017. Apple's WWDC Keynote live stream will be on June 5 at 10AM PT. Be sure to follow TeamApple News on Instagram to get live coverage.
Opinion: The Best Apps for Students
Whether you're in high school or college, your devices and apps take up a big part of your time. This could consist of social networking or productivity apps that help you get your homework done. With that said, here are… Continue Reading →
Best Buy Adds New Mac Deals for College Students
Although this was a couple days ago, Best Buy did add new college deals to students. College students can sign up for them on Best Buy's website and apply the deals in-store or online on select purchases.
Review: Sling TV (Orange + Blue Plan)
In early-2017, we did a review of Sling TV, specifically their Orange Plan. However, after a free trial of their Orange + Blue, I felt as though it called for another review. So here is just that.
Opinion: Can You Blog on an iPad Pro?
The 12.9-inch iPad Pro was released in 2015 and the 9.7-inch version of it being released in March 2016. But with blogging being primarily done on a laptop or desktop computer, is blogging on an iPad the right way to… Continue Reading →
The Best Macs for Blogging
Are you wanting to start a blog or continue managing your blog over the summer, but are in the market for a new MacBook? Well, here are some of the best MacBooks just for blogging purposes.
Happy #StreamingDay! Here Are Some Recommendations on What to Stream Today
According to Roku, today is "Streaming Day," ergo today is the day where the company is encouraging people to have a day inside their homes, get some pizza delivered, and watch your favorite movies and TV shows.
Opinion: My Top 3 Favorite Twitter Apps
Twitter is my favorite social network out of them all and because of that, I am always trying to find new ways how to use the service and new features that Twitter is adding to it. Here are three favorite… Continue Reading →
Rumor: Could This Be a Leaked iOS 11 Wallpaper?
It was revealed a few days ago that this following image could be a new wallpaper when iOS 11 is released likely in the fall.
12.9-inch iPad Pro Available to pick up at Apple Stores on June 8th hints refresh
Apple's 12.9-inch iPad Pro pick up date has moved to June 8th during the week of WWDC 17. Apple may announce a refreshed 12.9-inch iPad Pro at the WWDC 17 Keynote. Apple yesterday has seeded iOS 10.3.3 Developer/Public Beta 1 with… Continue Reading →
Apple launches new videos on it's YouTube Channel focused on Accessibility
Apple has recently launched a series of videos focused on Accessibility. These videos are part of Apple's 'Designed-For' series that show people who are using Apple's Accessibility to change the way they face life day in and day out…
Apple launches new videos on it's YouTube Channel focused on Accessibility
Apple Launches "Today at Apple" Website
Apple yesterday has launched a new website page called "Today at Apple". The program is focused on inspiring and educational free sessions.
Apple Launches "Today at Apple" Website
Apple Releases macOS 10.12.6 Public Beta 1
Today Apple launches macOS 10.12.6 Public Beta 1. This update is for macOS Public Beta testers that are in the Apple Beta Software Program. The update is likely to have bug fixes and performance improvements.
Apple Releases iOS 10.3.3 Public Beta 1 for iPhone and iPad
Today Apple launches iOS 10.3.3 Public Beta 1. This update is for iOS Public Beta testers that are in the Apple Beta Software Program. The update is likely to have bug fixes and performance improvements. The update will also include… Continue Reading →
Apple Releases New Wallpapers in iOS 10.3.3 Beta 1
Apple unveiled new wallpapers on the iPad Pro today in a release of the new iOS 10.3.3 Beta 1. The beta is available on the iPhone, iPad, and iPod Touch sixth-generation.
Gift Ideas for Grads
High school and college graduates will soon be their tassels to the left and graduate from their respected schools. But what is the perfect gift at an affordable price? Here are five ideas to get the gift that scholar deserves?
Best Buy Announces Mother's Day 2017 Apple Shopping Event
Best Buy will be having sales on Apple devices for Mother's Day throughout this week. Mother's Day is on Sunday, May 14th, 2017 this year.
Best Buy Announces Mother's Day 2017 Apple Shopping Event
TV Shows You Can Stream for Free This Summer
With the summer quickly approaching, content providers such as Netflix and Hulu with their big catalogs of content to watch, people tend to go straight towards those services to be entertained. However, what about the streaming services that already provide… Continue Reading →
Review: HBO Now
HBO Now is a streaming service by HBO that allows users to stream the network's newest episodes of current TV shows, along with streaming some of their older TV shows such as The Newsroom.
Review: Hulu with Live TV
Almost a week ago, Hulu launched their live TV streaming service. The service has a plethora of channels to choose from and costs $39.99 per month, which includes commercials when watching on-demand content. A commercial free plan does exist for… Continue Reading →
How to Stream Stars Wars Movies on Star Wars Day
Today is Star Wars Day, which is the day where people across the world can celebrate the Star Wars movies and fandom by sitting down and watching the trilogy and other Stars Wars-related TV shows and movies.
Opinion: First Impressions of Hulu Live TV
Hulu with Live TV came out today and although it is still a work in progress, for a launch day, the service held up pretty well. Obviously, this is still just a beta, but I have to say that it… Continue Reading →
Apple CEO Tim Cook to Speak on CNBC's 'Mad Money" at 6 PM ET (Updated with Interview)
CNBC's Jim Cramer will have an interview with Apple CEO Tim Cook tonight on Cramer's Mad Money. The topic at hand is about the future of the company and where Apple is heading from here.
Apple CEO Tim Cook to Speak on CNBC's 'Mad Money" at 6 PM ET (Updated with Interview)
Hulu Launches Live TV Streaming Service
This morning, Hulu launched their reported live TV streaming service. The service plans to be a competitor with other live TV streaming services such as Sling TV and the new YouTube TV. Hulu TV is available on the iPhone, iPad,… Continue Reading →
Opinion: How Apple Could Make The 'TV' App Better
In December 2016, Apple released the TV app that was made available for tvOS and iOS. What the app allows users to do is see a grid of TV shows and movies that one can watch. These are based off… Continue Reading →


Another milestone has been achieved in the College's Arizona presence. The Education Committee of the Arizona State Board of Nursing has recommended approval for our nursing programs in the Phoenix metro area, which are tentatively scheduled to start next spring.
From left, program leaders Carolyn Robinson, graduate nursing professor; Maria Laughner, regional director of the Arizona campus; Julie Anderson, dean of the School of Nursing; and Cecelia Taylor, healthcare education liaison, met with the board of nursing.
For more information contact Laughner at (623) 694-0984 mlaughner@css.edu. Stay tuned for future developments as our Arizona campus continues to grow.


text:
Q: Getting free(): invalid pointer Aborted (core dumped) while using python interpreter in ubunutu I was facing this issue in my ubuntu-22.04 and I solved that issue by installing readline package but after that I'm facing following issue

Python 3.8.13 (default, May 21 2022, 14:21:55)
[GCC 7.5.0] on linux
Type "help", "copyright", "credits" or "license" for more information.
>>> 2 + 2
free(): invalid pointer
Aborted (core dumped)

I've checked this answer it says

There is a known issue with importing both open3d and PyTorch. The
cause is unknown.

but in my case it's not related to PyTorch or open3d on same question another answer says

This is not a problem in your Python code. It is a bug in PyTorch
(probably) or in Python itself (unlikely, but possible).

at this point I'm confuse how to solve this issue. Do I have to rebuild python ? (current python was build using make)


it was a cold, autumn day in new york city. we left our manhattan hotel, citizen m, to meet our friend, pablo, and photographer, mariliana at the conservatory garden in central park. after an hour of photos, we caught a taxi to meet our wedding officiant, the most reverend matt levy at bethesda fountain, where we saw four other couples on their wedding day. love really was in the air. we took more pictures and headed over to bow bridge for the ceremony. on a crisp, autumn afternoon at sunset on november 15th, 2014, we officially eloped on a bridge--symbolic of a union between two entities. we were married! then it was time to kick up our heels and have fun in new york city's times square!


text:
Working in Kyrgyzstan
Find out how to get a job and work in Kyrgyzstan
Career opportunities are scarce in Kyrgyzstan, but it is not impossible for expats to find a job: the country has still some leading industries, in particular agriculture, and there is a lack of local professionals. Find out more in our guide, from the economy to taxation.
Employment in Kyrgyzstan
Kyrgyzstan, due to its size and location, was one of the poorest countries in the Soviet Union, and it hasn't fared much better since it gained its independence. According to the CIA World Factbook and the UNDP, around a third of the population lives in poverty, with the country struggling to adapt its fledgling economy since the collapse of the USSR in the early 1990s.
Kyrgyzstan is a predominantly agrarian economy, with cotton, meat, wool and tobacco being the main things that are produced. Cotton and tobacco are also the biggest exports. Unlike its oil and natural gas-rich neighbors, Kyrgyzstan has few reserves of its own, and imports most of its gas and petroleum from abroad. The economy relies a lot on foreign worker remittances. In 2013, the country ranked 70th in the World Bank's Ease of Doing Business Index.
Job Hunting in Kyrgyzstan
Because of the predominantly agrarian nature of the economy and the fact that Kyrgyzstan's services sector is relatively underdeveloped, there are few job opportunities for expats. Many expatriates working in Kyrgyzstan are employed by NGOs, and the UN Jobs board sometimes has openings advertised.
It is also important to bear in mind that the working language in Kyrgyzstan tends to be Kyrgyz or Russian rather than English, so if you do not speak either of these languages fluently you will often be at a disadvantage.
Income Taxation in Kyrgyzstan
Taxation is legislated by the Tax Code of the Kyrgyz Republic. Income tax for those earning up to the 50 minimal salaries rate is 10%. For those earning over the 50 minimal salaries rate, the first 50 minimal salaries rate is taxed at 10% and the remaining is taxed at 20%.
Kyrgyzstan levies a profit tax of 10% on other income, whilst there is a 20% Value Added Tax sales rate on goods, introduced by the government to try and boost the economy.
Moving to Kyrgyzstan
Kyrgyzstan is a young and lively country, with much to offer, from tradition to nature and plenty of leisure options, bu...
Living in Kyrgyzstan
Kyrgyzstan is a country with unspoiled natural landscapes, nomadic traditions, and a rich cultural heritage. Find out wh...
Top Cities in Kyrgyzstan
Moving to Bishkek


Travis J. Schuyler and Marcelo I. Guzman Contribute the First Stratospheric Measurements with an Innovative Drone Glider.
Photo by Travis J. Schuyler: Sensor System to be mounted into the HiDRON.
Recent work by members of the Department of Chemistry has measured environmental variables during high-altitude unmanned aerial vehicles (UAVs) flights. The project goal is to reach a better understanding of meteorological conditions in the upper troposphere and the stratosphere to enable the next generation of weather forecasting models. In order to accurately sample atmospheric weather conditions in the stratosphere, the project has designed a sensor system integrated into a high-altitude glider, called the HiDRON. The HiDRON is a high-altitude in-situ measurement platform developed by earth observation company, Stratodynamics Aviation Inc.
Photo of T.J. Schuyler preparing for lanching the HiDRON during December 2018 in Belarus.


text:
Q: Active Record find record based on another object's inclusion in an association of first record I have Users, Venues, and VenueManagers.
Given a user (current_user), I need to return the venue where this user is a venue_manager.
What's tricky is a venue can have multiple venue managers, and I'm running into the problem where the returned venues will only contain the one venue manager that's the current_user, and not contain the others.
Specifically, this is for a scope.
class Venue < ActiveRecord::Base

  has_and_belongs_to_many :venue_managers

  scope :for_venue_manager, -> (user) { includes(:venue_managers).where('venues_venue_managers.user_id = ?', user) }

end

That scope does not return all the venue managers unfortunately. Any input is kindly appreciated.

A: In order for a join to actually filter, it needs to be a joins and not an includes. So, first of all, you'll need to do
  scope :for_venue_manager, -> (user) {
        joins(:venue_managers).where('venues_venue_managers.user_id = ?', user) }

This will give you the venues where this user is one of the managers. To have only the ones that have only this user as the manager, you can then filter by those who only have 1 manager:
  scope :for_venue_manager, -> (user) {
        joins(:venue_managers).where('venues_venue_managers.user_id = ?', user).
        group(:venue_id).having('count(user_id) =  1') }

Or, in rails
  scope :for_venue_manager, -> (user) {
        joins(:venue_managers).where('venues_venue_managers.user_id = ?', user).
        filter {|v| v.venue_managers.length == 1 } }


To find the best 1.5 carat pear shaped engagement rings, look at the things that matches or fits your personality and character. Aside from your budget and the price, your individual design are the primary considerations that will guide your options of engagement rings. Here are tips and ideas that fit your character or personality with various varieties of engagement rings. When picking the perfect engagement rings design, there are a few designs and qualities to think about. Take into account favorite and most liked design and style, along with the ones that meet your model and lifestyle. Understand the possibilities for your main gem setting, feature gemstone setting, ring, and finishing details.
Right after you choose engagement rings planning, it is very important to determine on the kind of jewelry metal for the 1.5 carat pear shaped engagement rings. You may possibly give preference to an individual color of precious metal (yellow, white, or rose), or a certain kind of material (platinum, palladium, or gold). Check out what ring that you typically put on for ideas. Platinum, white gold, silver, and palladium are common neutral and also more or less identical in color. For a rose or pink hue, select rose gold. To get a golden look, choose yellow gold.
1.5 carat pear shaped engagement rings is actually greater and more than a fashion symbol. It is a symbol of a life the lovers will be managing, sharing and the experience they are trying to achieve. When dealing with a large choice of engagement rings sets, prefer a thing that you naturally feel presents the love you share, as well as the character of the groom and bridge. Explore various engagement rings to get the right ring for the love of your life. You'll find modern, vintage, conventional, and more. You are able to browse by metal to buy silver, white gold, yellow gold, rose gold, platinum, and more. You can even search by stone placing to see engagement rings with diamonds and gemstones of most colors and designs.
To choose engagement rings, you must to get a model, material, metal, and then band sizing. You will spend most of attention here towards purchasing a perfect engagement rings. The benefit of buying your 1.5 carat pear shaped engagement rings from an online jeweler is the extended entry you get to ring styles. Many of them provide several band design and if they don't really have a design that you're looking for, they are able to custom the band style that personalized for you.
There can be a wide selection of impressive engagement rings ready to be purchased. Spread your engagement rings search to include unique styles and soon you get the one that you are feeling suits your style perfectly. When you are on the hunt to get 1.5 carat pear shaped engagement rings, have a look at these models for ideas and inspiration. Online stores is often more affordable than shop at a brick and mortar store. You can buy simpler knowing that the ideal engagement rings is really a several clicks away. Explore our choice of amazing 1.5 carat pear shaped engagement rings currently, and get a good engagement rings based on your style.
One selection is to own your engagement rings crafted by professional designers. Get from these wide selection of lovely styles or develop your own personal wonderful designs. Another selection is to share the initial and passionate example of creating each other's 1.5 carat pear shaped engagement rings based the advice of a specialist jewellers. Designing and creating a ring your love being a timeless symbol of love is possibly the absolute most romantic motion you are possible to create.
As all engagement rings are can be custom made, all model can be possible to design. You possibly can custom your exclusive 1.5 carat pear shaped engagement rings or based on many common designs on display that will help decide. You can select from many different dimensions, patterns and finishes, and also from a thorough array of gemstone bands which can be personalized to matches or fits your right style. Numerous models are available, from traditional bands to special bands involving diamonds, engraving or a mix of materials. The professional can add any model and characteristics, such as diamonds, after you've finished making the rings and will also make sure the engagement rings fits completely with your character, even though it's with an unusual shape.
1.5 carat pear shaped engagement rings can be purchased in numerous styles. Both males and females may possibly pick to obtain matching designs or variations that express the personality. The engagement rings may be the image that the person wearing them is married. An ideal ring could be decided on and designed for design of the band or lifestyle of the wearer. You can explore our variety engagement rings models on gallery to assist you select or, as an alternative, you brings in custom designs or pictures and the professional can create sketches of numerous style and options.
Wherever you decide on to get your engagement rings, getting a pair that satisfies you and your love is very valuable. Your wedding day is a once in your live occasion, and everyday it is important to cherish forever. Choose the appropriate set of 1.5 carat pear shaped engagement rings and you will find a timeless memory of your motivation together, bands that may fulfill both you and your love. Discover our wonderful designer engagement rings to find a truly unique and memorable item created by expert. Famous artistry promises a truly exclusive band fitting with this unique landmark moment.
Getting your engagement rings customized ensures that you are able to select any design from common models to exclusive designs – and make sure the engagement rings matches completely together with your personality. To assist you choose a style, we have a wide selection of 1.5 carat pear shaped engagement rings on display as possible decide to try on to obtain an inspiration of what style matches your personality. You can select one of many lovely designs or you can personalize your special band.


Antique Caucasian Seichur or Alpan-Kuba runner. www.knightsantiques.co.uk Size: 10ft 0in x 3ft 2in (300 x 97cm). 4th quarter 19th century. A superb runner of classic design. Outstanding colours through out. Beautifully drawn, very subtle border. True showroom condition, even wear with low pile. Hand washed and ready for use or display. Stock Number: r-166.


BW-KC1 Backlight Keyboard Case Was: $45.99 Now: $9.99.
Free Shipping on Samsung Electronics Galaxy Book 12 Tablet with 24″ (23.8″ screen size) SH850 Series Monitor – Intel Core i5 3.10GHz, 8GB LPDDR3, 256GB SSD, 12″ Super AMOLED, 2160×1440 40674245.
5000mAh Power Bank Charger with Mini Bluetooth Wireless Keyboard for iPad Tablet Was: $26.99 Now: $19.99.
Free Shipping on Samsung Galaxy Book 12 2-in-1 Tablet with 24″ SH850 Series Monitor – Intel Core i5 3.10GHz, 8GB LPDDR3, 256GB SSD, 12″ Super AMOLED 2160×1440, 802.11 a/b/g/n/ac, 2x USB-C, Win 10 Pro 40674245.
Kids Tab E Lite 7.0″ 8GB (Wi-Fi Was: $129.99 Now: $99.99 and Free Shipping.
Up to 79% off plus Free Shipping – Tablet Accessories.