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And what happened during the Senate committee mark-up yesterday? Durbin and Franken both used the 267,000 figure to justify dropping UAFA. Political homophobia became homophilia, they were bashing us because they loved us. | [
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Thomas McAdam, an attorney for the plaintiffs, also accused Louisville Mayor Greg Fischer and the University of Louisville of censorship. | [
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I am "the king of debt."That has been great for me as a businessman, but is bad for the country. I made a fortune off of debt, will fix U.S. — Donald J. Trump (@realDonaldTrump) June 21, 2016 | [
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1397,
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II. GENERAL THEORY A. Master equation formalism extinction paths for a wide variety of stochastic dynamical systems. However, to make the method transparent, this article focuses on computing the optimal path to extinction for two types of epidemic models and a population model. The simplest deterministic epidemic compartmental models contain two steady states of differing stability: an extinct state where no infectious individuals are present and an endemic state where the infection is maintained. The stability of these steady states is determined by the value of the basic reproductive number R 0 , as shown in Fig. 1 R 0 < 1, the extinct state is stable while the endemic state is unstable; when R 0 > 1, the extinct state is unstable while the endemic state is stable. It is worth noting that since the model is deterministic, a population at the attracting endemic state can never go extinct. The method we present in this article is general and may be used to compute optimal escape paths, switching paths, orpaths for a wide variety ofdynamicalHowever, to make the method transparent, this article focuses onthe optimal path tofor two types of epidemic models and a population model. The simplest deterministic epidemic compartmental models contain two steady states of differing stability: an extinct state where no infectious individuals are present and an endemic state where theis maintained. The stability of these steady states is determined by the value of the basic reproductive number, as shown in Fig.. The reproductive number can be thought of as the average number of new infectious individuals that one infectious individual generates over the course of the infectious period, in an entirely susceptible population. When< 1, the extinct state is stable while the endemic state is unstable; when> 1, the extinct state is unstable while the endemic state is stable. It is worth noting that since the model is deterministic, a population at the attracting endemic state can never go extinct. To capture extinction events, we must consider a stochastic model with internal noise that represents the random interactions of individuals in the population. Therefore, a master equation is used to describe the effect of stochasticity. Let X be a state variable that represents the number of individuals in a single population. The following theory will be developed for a single population, but it is easily extended to multiple populations X 1 , X 2 ,…X n by the use of a state vector X. ρ(X, t) describes the probability of finding X individuals at time t. Each possible population-changing event (birth, death, infection, migration, etc.) is defined by a transition rate W r (X), where r is a positive or negative integer that defines an incremental change from state X to state X + r. Then, the master equation that provides the time evolution of ρ(X, t) for a single population is 11,12 11. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences ( Springer-Verlag , 2004). 12. N. G. van Kampen, Stochastic Processes in Physics and Chemistry ( Elsevier , 2007). ∂ ρ ( X , t ) ∂ t = ∑ r [ W r ( X − r ) ρ ( X − r , t ) − W r ( X ) ρ ( X , t ) ] . (1) The probability density) describes the probability of findingindividuals at time. Each possible population-changing event (birth, death,migration, etc.) is defined by a transition rate), whereis a positive or negative integer that defines an incremental change from stateto state. Then, the masterthat provides the time evolution of) for a single population is equation given by Eq. X be scaled by N, the typical population size in the metastable state. Using x = X/N, the transition rate W r (X) = W r (Nx) can be represented as the following expansion in N: W r ( N x ) = N w r ( x ) + u r ( x ) + O ( 1 / N ) , (2) where x and the scaled transition rates w r and u r are O ( 1 ) . In general, it is not possible to analytically solve the mastergiven by Eq. (1) . Letbe scaled by, the typical population size in the metastable state. Using, the transition rate) =) can be represented as the following expansion inwhereand the scaled transition ratesandare N ≫ 1, we approximate the scaled master equation using the Wentzel–Kramers–Brillouin (WKB) approximation. To account for the rare possibility of extinction, we look for the probability distribution in the form of the WKB ansatz ρ = e − N S ( x , t ) , (3) where S ( x , t ) is a quantity known as the action. 15–17,29 Fluctuation and relaxation of macrovariables ,” J. Stat. Phys. 9, 51 (1973). 15. R. Kubo, K. Matsuo, and K. Kitahara, “,” J. Stat. Phys., 51 (1973). https://doi.org/10.1007/BF01016797 Stationary solution of master equations in the large-system-size limit ,” Phys. Rev. A 36, 5782 (1987). 16. H. Gang, “,” Phys. Rev. A, 5782 (1987). https://doi.org/10.1103/PhysRevA.36.5782 Large fluctuations and optimal paths in chemical-kinetics ,” J. Chem. Phys. 100, 5735 (1994). 17. M. I. Dykman, E. Mori, J. Ross, and P. M. Hunt, “,” J. Chem. Phys., 5735 (1994). https://doi.org/10.1063/1.467139 Rough limit theorems on large deviations for Markov stochastic processes, I ,” Theor. Probab. Appl. 21, 227 (1976). 29. A. D. Wentzel', “,” Theor. Probab. Appl., 227 (1976). https://doi.org/10.1137/1121030 equation, which is stated in terms of w r ( x − r / N ) and S ( x − r / N , t ) , where r/N is small. A Taylor series expansion of these functions of x − r/N is performed, and one arrives at a Hamilton–Jacobi equation H = − ∂ S / ∂ t . At leading order, the Hamilton–Jacobi equation has the form H ( x , p ) = 0 , where H , known as the effective Hamiltonian, is given as H ( x , p ) = ∑ r w r ( x ) ( e p r − 1 ) ; p = d S d x , (4) and p is the conjugate momentum. The solutions to H ( x , p ) = 0 are the zero-energy curves of the system. At least one solution is the optimal path where the action S is minimized; this solution corresponds to the path that maximizes the probability of extinction. For≫ 1, we approximate the scaled masterusing the Wentzel–Kramers–Brillouin (WKB) approximation. To account for the rare possibility ofwe look for the probability distribution in the form of the WKB ansatzwhereis a quantity known as the action.The WKB ansatz given by Eq. (3) is substituted into the scaled masterwhich is stated in terms ofand, whereis small. A Taylor series expansion of these functions ofis performed, and one arrives at a Hamilton–Jacobi. At leading order, the Hamilton–Jacobihas the form, where, known as the effective Hamiltonian, is given asandis the conjugate momentum. Thetoare the zero-energy curves of theAt least oneis the optimal path where the actionis minimized; thiscorresponds to the path that maximizes the probability of equations x ̇ = ∂ H ( x , p ) / ∂ p , p ̇ = − ∂ H ( x , p ) / ∂ x (5) describe the system's dynamics and are easily found from the Hamiltonian given by Eq. x dynamics along the p = 0 deterministic line are described by x ̇ = ∂ H ( x , p ) ∂ p | p = 0 , (6) which is the rescaled mean-field rate equation associated with the original deterministic problem. For the simple models described by Fig. 1 system into steady state saddle points in the 2D set of Hamilton's equations. This allows for escape from the endemic state and provides a path to extinction that did not exist in the original deterministic model. In the epidemic models we will discuss, the optimal path leaves the endemic state and arrives at a new extinct point where at least one momentum p value is nonzero. Hamilton'sdescribe the system's dynamics and are easily found from the Hamiltonian given by Eq. (4) . Thedynamics along the= 0 deterministic line are described bywhich is the rescaledrateassociated with the original deterministic problem. For the simple models described by Fig., the deterministic steady states are nodes. It is easy to show that the WKB method has transformed these steady state nodes in the original 1D deterministicinto steady state saddle points in the 2D set of Hamilton'sThis allows for escape from the endemic state and provides a path tothat did not exist in the original deterministic model. In the epidemic models we will discuss, the optimal path leaves the endemic state and arrives at a new extinct point where at least one momentumvalue is nonzero. stochastic models becomes apparent when considering the solution to the generalized set of Hamilton's equations x ̇ j = ∂ H ( x 1 , … x n , p 1 , … p n ) ∂ p j , p ̇ j = − ∂ H ( x 1 , … x n , p 1 , … p n ) ∂ x j , j = 1 , … n , (7) where n is the number of distinct population groups included in a model. After employing the WKB formalism, the domain of the system is ℝ 2 n , and a system of 2n equations must be solved to find steady states. Furthermore, since the Hamiltonian is now a function of 2n variables, the likelihood that analytic solutions to the zero-energy Hamiltonian equation can be found is greatly reduced. Therefore, we must consider alternate methodologies to compute the optimal path. The complexity of exploring multi-populationbecomes apparent when considering theto the generalized set of Hamilton'swhereis the number of distinct population groups included in a model. After employing the WKB formalism, the domain of theis, and aof 2must be solved to find steady states. Furthermore, since the Hamiltonian is now a function of 2variables, the likelihood that analyticto the zero-energy Hamiltoniancan be found is greatly reduced. Therefore, we must consider alternate methodologies to compute the optimal path. B. Finite-time Lyapunov exponents (FTLE) 30–33 Finding finite-time invariant manifolds in two-dimensional velocity fields ,” Chaos 10, 99 (2000). 30. G. Haller, “,” Chaos, 99 (2000). https://doi.org/10.1063/1.166479 Distinguished material surfaces and coherent structures in three-dimensional fluid flows ,” Physica D 149, 248 (2001). 31. G. Haller, “,” Physica D, 248 (2001). https://doi.org/10.1016/S0167-2789(00)00199-8 Lagrangian coherent structures from approximate velocity data ,” Phys. Fluids 14, 1851 (2002). 32. G. Haller, “,” Phys. Fluids, 1851 (2002). https://doi.org/10.1063/1.1477449 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows ,” Physica D 212, 271 (2005). 33. S. C. Shadden, F. Lekien, and J. E. Marsden, “,” Physica D, 271 (2005). https://doi.org/10.1016/j.physd.2005.10.007 system displays maximal sensitivity near the optimal path trajectory, 24,25 Converging towards the optimal path to extinction ,” J. R. Soc. Interface 8, 1699 (2011). 24. I. B. Schwartz, E. Forgoston, S. Bianco, and L. B. Shaw, “,” J. R. Soc. Interface, 1699 (2011). https://doi.org/10.1098/rsif.2011.0159 Maximal sensitive dependence and the optimal path to epidemic extinction ,” B. Math. Biol. 73, 495 (2011). 25. E. Forgoston, S. Bianco, L. B. Shaw, and I. B. Schwartz, “,” B. Math. Biol., 495 (2011). https://doi.org/10.1007/s11538-010-9537-0 The computation of finite-time Lyapunov exponents is often used to find coherent structures in fluid flows.The FTLE provides a measure of how sensitively the system's future behavior depends on its current state. We have previously shown that thedisplays maximal sensitivity near the optimal path trajectory,which enables us to dynamically evolve toward the optimal path. v : ℝ 2 n × I → ℝ 2 n given by Eq. I = [t i , t f ], and the system of equations y ̇ ( t ; t i , y 0 ) = v ( y ( t ; t i , y 0 ) , t ) , (8a) y ( t i ; t i , y 0 ) = y 0 , (8b) where y , y 0 ∈ ℝ 2 n , and t ∈ I. This dynamical system has quantities known as Lyapunov exponents that measure the growth rates of the linearized dynamics about the trajectory of the system. To find the finite-time Lyapunov exponents (FTLE), the Lyapunov exponents are computed on a restricted finite time interval. We consider a velocity fieldgiven by Eq. (5) that is defined over a time interval= [], and theofwhere, and. This dynamicalhas quantities known as Lyapunov exponents that measure the growth rates of the linearized dynamics about the trajectory of theTo find the finite-time Lyapunov exponents (FTLE), the Lyapunov exponents are computed on a restricted finite time interval. n dimensional points y = (x, p), with initial position y 0 defined at the grid points. Then, using Hamilton's equations (Eq. ϕ determines the advection of the initial points as follows: 30–33 Finding finite-time invariant manifolds in two-dimensional velocity fields ,” Chaos 10, 99 (2000). 30. G. Haller, “,” Chaos, 99 (2000). https://doi.org/10.1063/1.166479 Distinguished material surfaces and coherent structures in three-dimensional fluid flows ,” Physica D 149, 248 (2001). 31. G. Haller, “,” Physica D, 248 (2001). https://doi.org/10.1016/S0167-2789(00)00199-8 Lagrangian coherent structures from approximate velocity data ,” Phys. Fluids 14, 1851 (2002). 32. G. Haller, “,” Phys. Fluids, 1851 (2002). https://doi.org/10.1063/1.1477449 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows ,” Physica D 212, 271 (2005). 33. S. C. Shadden, F. Lekien, and J. E. Marsden, “,” Physica D, 271 (2005). https://doi.org/10.1016/j.physd.2005.10.007 ϕ t i t i + T : y 0 → ϕ t i t i + T ( y 0 ) = y ( t i + T ; t i , y 0 ) . (9) To compute FTLE values, we choose a domain of interest and define it as an evenly spaced grid of 2dimensional points= (), with initial positiondefined at the grid points. Then, using Hamilton's(Eq. (5) ), all points are numerically integrated. The flow mapdetermines the advection of the initial points as follows: σ ( y , t i + T , T ) = 1 | T | ln λ m a x ( Δ ) , (10) where λ max (Δ) is the maximum eigenvalue of the right Cauchy–Green deformation tensor Δ, which is given as Δ ( y , t i + T , T ) = ( d ϕ t i t i + T ( y ( t ) ) d y ( t ) ) * ( d ϕ t i t i + T ( y ( t ) ) d y ( t ) ) , (11) with * denoting the adjoint. Then, the FTLE can be defined aswhere(Δ) is the maximum eigenvalue of the right Cauchy–Green deformation tensor Δ, which is given aswith * denoting the adjoint. y ∈ ℝ 2 n at initial time t i , Eq. T (forward or backward) and provides a measure of the sensitivity of a trajectory to small perturbations. The FTLE field given by σ(y, t i , T) can be shown to exhibit ridges of local maxima in phase space. The ridges of the field indicate the location of attracting (backward time FTLE field) and repelling (forward time FTLE field) structures. In two-dimensional (2D) space, the ridge is a curve which locally maximizes the FTLE field, so that transverse to the ridge, one finds the FTLE to be a local maximum. What is remarkable is that the FTLE ridges correspond to the optimal path trajectories. 24,25 Converging towards the optimal path to extinction ,” J. R. Soc. Interface 8, 1699 (2011). 24. I. B. Schwartz, E. Forgoston, S. Bianco, and L. B. Shaw, “,” J. R. Soc. Interface, 1699 (2011). https://doi.org/10.1098/rsif.2011.0159 Maximal sensitive dependence and the optimal path to epidemic extinction ,” B. Math. Biol. 73, 495 (2011). 25. E. Forgoston, S. Bianco, L. B. Shaw, and I. B. Schwartz, “,” B. Math. Biol., 495 (2011). https://doi.org/10.1007/s11538-010-9537-0 stochastic experiments, the FTLE shows that locally the path is also the most sensitive to initial data. Figure 2 For a givenat initial time, Eq. (10) gives the maximum finite-time Lyapunov exponent for some finite integration time(forward or backward) and provides a measure of the sensitivity of a trajectory to small perturbations. The FTLE field given by) can be shown to exhibit ridges of local maxima in phase space. The ridges of the field indicate the location of attracting (backward time FTLE field) and repelling (forward time FTLE field) structures. In two-dimensional (2D) space, the ridge is a curve which locally maximizes the FTLE field, so that transverse to the ridge, one finds the FTLE to be a local maximum. What is remarkable is that the FTLE ridges correspond to the optimal path trajectories.The basic idea is that since the optimal path is inherently unstable and observed only through many realizations ofexperiments, the FTLE shows that locally the path is also the most sensitive to initial data. Figureshows a schematic that demonstrates why the optimal path corresponds to a maximal FTLE ridge. If one chooses an initial point on either side of the optimal path near the endemic state, the two trajectories will separate exponentially in time, since both extinct and endemic states are unstable saddle points. For single population models, the optimal path is a curve in ℝ 2 with (x, p) coordinates. A contour map of σ values as a function of x and p is ideal for showing the maximal FTLE ridge that corresponds to the optimal path. However, for models involving multiple populations, the optimal path is a curve in a high-dimensional space which is not easily visualized. A methodology that can extract information about the optimal path from the FTLE field without relying on visual inspection is necessary. Therefore, we use statistical tools to define a threshold cut-off value, so that points associated with the highest FTLE values can be identified. Additionally, points associated with deterministic structures, such as those occurring where p = 0, can be excluded from selection. In this way, points known to be in the vicinity of the optimal path are identified and selected for inclusion in an array of high FTLE points. For low-dimensional models, this array may produce a nearly complete optimal path. For high-dimensional models, however, such a nice result is less likely. Their known proximity to the optimal path, however, makes the point array highly desirable as initial data for the following method. C. Iterative action minimizing method (IAMM) 26 An iterative action minimizing method for computing optimal paths in stochastic dynamical systems ,” Physica D 255, 22 (2013). 26. B. S. Lindley and I. B. Schwartz, “,” Physica D, 22 (2013). https://doi.org/10.1016/j.physd.2013.04.001 systems of stochastic differential equations. In particular, given an initial guess of high FTLE-valued points produced by the method described in Sec. As described in Section II A , the WKB formalism results in a Hamiltonian with a zero-energy curve that is the optimal path connecting two steady state saddle points. The Iterative Action Minimizing Method(IAMM) is a numerical scheme based on Newton's method that computes optimal transition pathways inofdifferentialIn particular, given an initial guess of high FTLE-valued points produced by the method described in Sec. II B , the IAMM is a useful method for determining the optimal path. We consider the general situation where a path connecting steady states C a and C b starts at C a at t = −∞ and ends at C b at t = +∞. Then, a time parameter t exists such that −∞ < t < ∞. For this method, we require a numerical approximation of the time needed to leave the region of C a and arrive in the region of C b . Therefore, we define a time T ϵ such that −∞ < −T ϵ < t < T ϵ < ∞. Additionally, C(−T ϵ ) ≈ C a and C(T ϵ ) ≈ C b . In other words, the solution stays very near the equilibrium C a for −∞ < t ≤ −T ϵ , has a transition region from −T ϵ < t < T ϵ , and then stays near C b for T ϵ < t < +∞. T ϵ , T ϵ ] is discretized into N segments using a uniform step size h = (2T ϵ )/N. Alternatively, one may map the [−T ϵ , T ϵ ] interval onto the [0, 1] interval via the linear transformation t = 2T ϵ τ − T ϵ and use a step size of h = 1/N to discretize the interval. It is worth noting that for some problems, such as the Allee system described in Sec. 26 An iterative action minimizing method for computing optimal paths in stochastic dynamical systems ,” Physica D 255, 22 (2013). 26. B. S. Lindley and I. B. Schwartz, “,” Physica D, 22 (2013). https://doi.org/10.1016/j.physd.2013.04.001 The interval [−] is discretized intosegments using a uniform step size= (2)/. Alternatively, one may map the [−] interval onto the [0, 1] interval via the linear transformation= 2and use a step size of= 1/to discretize the interval. It is worth noting that for some problems, such as the Alleedescribed in Sec. VI C , it may be necessary to use a non-uniform step size to resolve sharp transition regions. h k , then one has the time series t k +1 = t k + h k . The derivative of the corresponding function value q k is approximated using central finite differences by the operator δ h given as d d t q k ≈ δ h q k ≡ h k − 1 2 q k + 1 + ( h k 2 − h k − 1 2 ) q k − h k 2 q k − 1 h k − 1 h k 2 + h k h k − 1 2 , k = 0 , … , N . (12) Given a non-uniform time step, then one has the time series. The derivative of the corresponding function valueis approximated using central finite differences by the operatorgiven as d d t q k ≈ δ h q k ≡ q k + 1 − q k − 1 2 h , k = 0 , … , N . (13) Clearly, if a uniform step size is chosen, then Eq. (12) simplifies to the familiar form given as system of nonlinear algebraic equations δ h x k − ∂ H ( x k , p k ) ∂ p = 0 , δ h p k + ∂ H ( x k , p k ) ∂ x = 0 , k = 0 , … , N , (14) which is solved using a general Newton's method. Note that Eq. equation. Thus, one can develop theof nonlinear algebraicwhich is solved using a general Newton's method. Note that Eq. (14) computes the difference between the central finite difference approximation of each partial derivative (see Eq. (7) ) with the appropriate Hamilton's q j ( x , p ) = { x 1 , j … x N , j , p 1 , j … p N , j } T be an extended vector of 2nN components that contains the jth Newton iterate, where n is the number of populations. When j = 0, q 0 (x, p) provides the initial “guess” as to the location of the path that connects C a and C b . In our work, q 0 comes from the results of FTLE computations. Given the jth Newton iterate q j , the new q j +1 iterate is found by solving the linear system q j + 1 = q j − F ( q j ) J ( q j ) , (15) where F is the function defined by Eq. q j , and J is the Jacobian. Equation We letbe an extended vector of 2components that contains theNewton iterate, whereis the number of populations. When= 0,) provides the initial “guess” as to the location of the path that connectsand. In our work,comes from the results of FTLE computations. Given theNewton iterate, the newiterate is found by solving the linearwhereis the function defined by Eq. (14) acting on, andis the Jacobian. (15) is solved using LU decomposition with partial pivoting. h, so that the transitional region has a finer mesh than areas away from the fast transition. Additionally, the choice of T ϵ can affect the results. We discuss its importance in Secs. The IAMM, like any scheme involving Newton's method, is sensitive to the initial condition. A poor initial guess may lead to erroneous results including convergence to a curve that is not the optimal path or even no convergence. It is worth reiterating that path dynamics that include a fast, sharp transition may require the use of a non-uniform step size, so that the transitional region has a finer mesh than areas away from the fast transition. Additionally, the choice ofcan affect the results. We discuss its importance in Secs. IV and V | [
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] |
The guy, Alex, was on a date with a woman named Anna when he asked her to keep his sunglasses in her bag. Apparently, the date wasn't going so well and Anna decided to ditch. Alex wasn't too concerned about losing the girl. "I wasn't that into her anyway," he told The Mirror. She made off with his sunglasses, though, which is why we now have this saga of one-sided text messages from Alex to Anna. | [
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The 'Leper's Charter Stone' at Kingcase in Prestwick, South Ayrshire was made of black basalt and kidney shaped, used as a lifting stane until it was broken although the parts remain, built into the walls of the old chapel. | [
430,
1006,
45,
572,
267,
392,
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David D: What are the key botanicals for Plymouth? Plymouth is its own geographically-recognized gin, so what exactly makes Plymouth so special? | [
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With literally millions of people needing to shift careers every year, and the long drawn out cycles of traditional colleges being a poor solution for time-crunched rank-and-file displaced workers, we will be seeing a massive new opportunity arising for short-term, pre-apprenticeship training in the form of Micro Colleges. | [
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Ladies: Send the men you see on your map push notifications. If they send one back, you can immediately start chatting and arrange an impromptu meeting right in the app! It's like tinder, seeking arrangement, and whatsapp rolled into one, and we cut away ALL THE FAT so you both can get right to the point and meet up in a safe public place and then as adults take it from there. | [
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Update 11/7/15: Congratulations to Karen P.! She is the big winner of the Nest Bedding giveaway and will be receiving a brand new Honest Bed mattress. Thanks to everyone who entered. Check back soon for the next great Sleepopolis giveaway! | [
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Once upon a time, there was a big fog. It rolled through a valley like a big cloud.
Then, one day, two friends met inside it.
"Hi," said one.
"Hi," said the other.
They blinked at each other and smiled. Then the first friend said, "Let's explore this big fog. The sun is out, so maybe we'll find something fun!
The two friends started walking. As the fog was so big, it was like walking in a dream. Everything felt so soft and gentle.
After a while, they stopped. The two friends looked up and there was a big rainbow in the sky!
The two friends smiled at each other, sitting on the grass. The fog had hidden the rainbow until they explored it. Now they were both very happy they had.
The End. | [
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Homeland Security Adviser Mohamed Elibiary Goes on Hate-Filled Anti-Christian Rant, Attacks Jindal as ‘Bottom Feeder’ http://t.co/raCO7MNKS0 — Patrick Poole (@pspoole) January 29, 2015 | [
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Anna loves her panda toy very much. She always hugs it and plays with it. She calls it Panda. Panda is soft and black and white. Anna has Panda since she was a baby.
One day, Anna goes to the park with her mom and Panda. She sees a big slide and wants to go on it. She asks her mom, "Can I go on the slide with Panda?"
Her mom says, "Yes, you can, but be careful. Panda is fragile. He might get hurt if you drop him or if he slides too fast."
Anna nods and says, "OK, mom. I will be careful. I love Panda."
She climbs up the stairs and sits on the slide with Panda in her lap. She holds him tight and says, "Ready, Panda? Here we go!"
She slides down the slide and feels the wind in her hair. She laughs and says, "Whee! That was fun, Panda!"
But when she reaches the bottom, she sees that Panda has a tear in his ear. She gasps and says, "Oh no! Panda, are you OK? I'm sorry, I didn't mean to hurt you!"
She runs to her mom and shows her the tear. Her mom says, "Don't worry, Anna. It's OK. Panda is not real. He is a toy. He doesn't feel pain. But I know you love him, so I will fix him for you. I have a needle and a thread in my bag. I can sew his ear back together."
Anna says, "Thank you, mom. You are the best. Can I help you?"
Her mom says, "Sure, you can. You can hold Panda and talk to him while I sew. He will be fine soon."
Anna smiles and says, "OK, mom. I will do that. I love you and Panda."
She holds Panda and says, "Don't be sad, Panda. Mom will make you better. You are my best friend. I will always take care of you." | [
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This is really good news coming off the report this afternoon from Arsene Wenger that Santi Cazorla will be missing until early next month. It's even better once you look at Arsenal's upcoming fixture list; it's crowded, as you might expect from a team trying to compete on four fronts. Without reserves that would be a very tough task, but it looks like we may be just a few weeks away from getting reinforcements back. | [
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I am also keen to understand what value Australia has got for the $400 million allocated to the Canberra-based Global CCS Institute. As one of their bloggers has written “despite ambitious demonstration programmes, progress has been glacially slow”. | [
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In a television ad which began airing on Friday, a mother shares the story of her daughter’s struggle to care for her dying same-sex partner, saying that after her daughter’s domestic partner suffered a seizure, hospital staff refused to telephone her daughter because they were not married. There is only one problem: that is not an accurate depiction of the law, says Preserve Marriage Washington, the statewide grassroots coalition committed to protecting the traditional definition of marriage as the union of one man and one woman. | [
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Once upon a time, there was a little girl named Lily who went on a camping trip with her family. They stayed in a cozy cabin in the woods. Lily was very excited to sleep in the cabin and explore the forest.
One day, Lily and her dad decided to go on a hike. They walked and walked, but the path was steep and rocky. Lily started to struggle and her dad had to carry her on his shoulders. "I can't walk anymore," Lily said.
"Don't worry, we'll take a break soon," her dad replied.
Finally, they reached the top of the mountain and saw a beautiful view. "Wow!" Lily exclaimed. "I'm so glad we came up here. Thank you, dad!" They hugged and went back to the cabin, where they made s'mores and told stories around the campfire. | [
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If you need a head start, Sara Soueidan has written a great introduction to working with CSS Shapes where she describes in detail how to use the new properties. | [
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Cycling your plant without understanding the costs or applying care and expert guidance when cycling often leads to significant damage, frequent forced outages, and loss of power generation. Bad long-term decisions may be driven by short-term or uninformed decisions, making your plant unreliable during high-profit periods. The fatigue damage added to an older baseload power plant causes creep fatigue interaction damage, rapid increase in boiler tube failures, and many other component failures, including turbine generator and balance-of-plant early creep fatigue failures. In effect, excessive cycling will either decrease the life expectancy of your equipment, or the costs to maintain the equipment will rise, sometimes significantly. Also remember that poorly written startup and shutdown operating instructions or a failure to follow standard processes can often contribute to increased cycling damage and resultant costs. | [
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It is a none-too-subtle question, but it makes the point: Despising Israel the way Israel is despised in much of the Arab world is all about anti-Semitism. And most anti-Semitism anywhere in the world has its origins in envy. | [
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Bob swam and swam until he reached the ocean. He saw a big wave and decided to try surfing. As he rode the surf, it took him far away from the pond and closer to his dream.
Bob felt free and peaceful out at sea. Suddenly, he spotted an island in the distance. He swam towards it and soon arrived on the beach.
Bob loved the island, and decided to stay for a while. He enjoyed the warm sand and exploring. Bob knew he'd escaped the pond for good! | [
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