Examples of co-located in the following topics:
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- Consider physical contexts—traditional face-to-face with co-located audience versus delivery via videoconference to remote audience(s).
- You can prepare for three different contexts--face to face with co-located audience , a speaker with live audience to remote audiences and a speaker with no live audience to different remote locations by video conferencing technology .
- The physical context for the co-located audience is the setting or room where you speak.
- Physical Context for the Combined Co-Located with One or More Secondary Locations
- When you have a live audience co-located in front of you it will be easier to relate to and respond to the audience and avoid many of the problems associated with delivery by webcam or web conferencing only technology.
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- Using information about the co-variation among the multiple measures, we can infer an underlying dimension or factor; once we've done that, we can locate our observations along this dimension.
- The approach of locating, or scoring, individual cases in terms of their scores on factors of the common variance among multiple indicators is the goal of factor and components analysis (and some other less common scaling techniques).
- Similarly, we could "scale" the events in terms of the patterns of co-participation of actors -- but weight the actors according to their frequency of co-occurrence.
- This allows us to see which actors are similar in terms of their participation in events (that have been weighted to reflect common patterns), which events are similar in terms of what actors participate in them (weighted to reflect common patterns), and which actors and events are located "close" to one another.
- More generally, clusters of actors and events that are similarly located may form meaningful "types" or "domains" of social action.
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- $\displaystyle
\cos \theta =\frac{x}{r}\quad\Rightarrow\quad x=r\cos \theta $
- 1) Write $\cos \theta =\frac{x}{r}\Rightarrow x=r\cos \theta $ and $\sin \theta =\frac{y}{r}\Rightarrow y=r\sin \theta $.
- $\displaystyle
\begin{aligned}
x &= r\cos \theta \\
&= 3cos \frac{\pi}{2}\\
&= 0
\end{aligned}
$
- $\displaystyle
\begin{aligned}
\cos \theta &=\frac{x}{r}\quad\Rightarrow\quad x=r\cos \theta
\\\sin \theta &=\frac{y}{r}\quad\Rightarrow\quad y=r\sin \theta \\
r^2&=x^2+y^2\\\tan\theta&=\frac{y}{x}
\end{aligned}$
- Multiple sets of polar coordinates can have the same location as our first solution.
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- This sphere of polarization is known as the Poincare sphere (Fig.2.1) and the location of the polarization on the sphere is related to the orientation of the polarization ellipse in Fig.2.1.
- $s_1 = Q = \Pi I \cos2\psi \cos 2\chi \\ s_2 = U = \Pi I \sin2\psi \cos 2\chi \\ s_3 = V = \Pi I \sin 2\chi$
- $I = s_0 = |\epsilon_1 \cdot {\bf E}|^2 + |\epsilon_2 \cdot {\bf E}|^2 \\ \displaystyle = \frac{1}{\Delta t} \int_0^{\Delta t} \biggr [ \left | \epsilon_1 \cdot {\bf E}_a e^{-i\omega_a t} + \epsilon_1 \cdot {\bf E}_b e^{-i\omega_b t} \right |^2 + \nonumber \\ \displaystyle ~~~~~~ \left | \epsilon_2 \cdot {\bf E}_a e^{-i\omega_a t} + \epsilon_2 \cdot {\bf E}_b e^{-i\omega_b t} \right |^2 \biggr ] d t \\ \displaystyle = \frac{1}{\Delta t} \int_0^{\Delta t} \biggr \{ \left | \epsilon_1 \cdot {\bf E}_a \right |^2 + \left | \epsilon_1 \cdot {\bf E}_b \right |^2 + \left | \epsilon_1 \cdot {\bf E}_a \right |^2 + \left | \epsilon_1 \cdot {\bf E}_b \right |^2 + \nonumber \\ \displaystyle ~~~ 2 \left [ \left ( \epsilon_1 \cdot {\bf E}_a \right ) \left ( \epsilon_1 \cdot {\bf E}_b \right ) + \left ( \epsilon_2 \cdot {\bf E}_a \right ) \left ( \epsilon_2 \cdot {\bf E}_b \right ) \right ] \cos \left [ \left (\omega_a-\omega_b\right ) t \right ] \biggr \} \\ \displaystyle = s_{0,a} + s_{0,b} + \left \{ \begin{array}{cl} \mathcal{O} \left [ \sqrt{s_{0,a} s_{0,b}} \left ( \Delta \omega \Delta t \right)^{-1} \right ] \Delta\omega \Delta t \gg 1 \\\displaystyle \mathcal{O} \left [ \sqrt{s_{0,a} s_{0,b}} \left ( \Delta \omega \Delta t \right ) \right ] \Delta\omega \Delta t \ll 1\end{array} \right.$
- $s_2 = 2 \left < a_1 a_2 \cos \left (\delta_2 - \delta_1 \right ) \right >.$
- Although $\cos^2 x + \sin^2 x = 1$, $0\leq \left <\cos x\right>^2 + \left <\sin x\right>^2 \leq 1$, so for a quasimonochromatic wave we have
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- $y_{inc} = A ~cos (k_1 x - \omega t) \\ y_{ref} = B~ cos (k_1 x + \omega t)\\ y_{trans} = C ~cos (k_2 x - \omega t)$
- We choose our coordinates such that the junction of two sub-strings is located at x=0.
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- The co-vertices correspond to $b$, the "minor semi-axis length", and have coordinates $(h,k+b)$ and $(h,k-b)$.
- The major and minor axes $a$ and $b$, as the vertices and co-vertices, describe a rectangle that shares the same center as the hyperbola, and has dimensions $2a \times 2b$.
- Therefore the focal points are located at $(h+2\sqrt{m},k+2\sqrt{m})$ and $(h-2\sqrt{m},k-2\sqrt{m})$.
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- Located within the cytosol or nucleus, nuclear receptors are the target of steroid and thyroid hormones that are able to pass through the cell membrane.
- Type I nuclear receptors are located in the cytosol.
- In the absence of ligand, type II nuclear receptors often form a complex with co-repressor proteins.
- Hormone binding to the nuclear receptor results in dissociation of the co-repressor and the recruitment of co-activator proteins.
- This figure depicts the mechanism of a class I nuclear receptor (NR) that, in the absence of ligand, is located in the cytosol.
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- Polar coordinates define the location of an object in a plane by using a distance and an angle from a reference point and axis.
- Coordinate systems are a way of determining the location of a point or object of interest in relation to something else.
- In certain problems, like those involving circles, it is easier to define the location of a point in terms of a distance and an angle.
- Thus, using trigonometry, it can be shown that the $x$ coordinate is $r \cos \theta$ and the $y$ coordinate is $r \sin \theta$.
- The $x$ Cartesian coordinate is given by $r \cos \theta$ and the $y$ Cartesian coordinate is given by $r \sin \theta$.
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- For the conversion between cylindrical and Cartesian coordinate co-ordinates, it is convenient to assume that the reference plane of the former is the Cartesian $xy$-plane (with equation $z = 0$), and the cylindrical axis is the Cartesian $z$-axis.
- Then the $z$ coordinate is the same in both systems, and the correspondence between cylindrical $(\rho,\varphi)$ and Cartesian $(x,y)$ are the same as for polar coordinates, namely $x = \rho \cos \varphi; \, y = \rho \sin \varphi$.
- Spherical coordinates are useful in connection with objects and phenomena that have spherical symmetry, such as an electric charge located at the origin.
- $x=r \, \sin\theta \, \cos\varphi \\ y=r \, \sin\theta \, \sin\varphi \\ z=r \, \cos\theta$
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- We've deleted isolates (initiatives that don't have donors in common and donors that don't have initiatives in common), located the points in space using Gower MDS, resized the nodes and node labels, and eliminated the arrow heads.
- We can get some insights from this kind of visualization of a two-mode network (particularly when some kind of scaling method is used to locate the points in space).
- And, particular donors are located in the same parts of the space as certain initiatives -- defining which issues (events) tend to go along with which actors.
- It is exactly this kind of "going together-ness" or "correspondence" of the locations of actors and events that the numeric methods discussed below are intended to index.
- That is, the numeric methods are efforts to capture the clustering of actors brought together by events; events brought together by the co-presence of actors; and the resulting "bundles" of actors/events.