
When inhibition not excitation synchronizes neural firing
... Thus, if we know the interaction function for an instantaneous synapse, we can determine the dynamic interaction function simply by performing the appropriate convolution integral. This convolution has profound effects on the stability and the number of phase-locked states of the model. Equations (3 ...
... Thus, if we know the interaction function for an instantaneous synapse, we can determine the dynamic interaction function simply by performing the appropriate convolution integral. This convolution has profound effects on the stability and the number of phase-locked states of the model. Equations (3 ...
Geometry in the Complex Plane
... Lines and Collinearity The following theorems are commonly used in complex bash: Three distinct complex numbers a, b, and c are collinear if c −a and only if is real. b−a Since a complex number is real if and only if it is equal to its conjugate, the above means the equation for a line passing throu ...
... Lines and Collinearity The following theorems are commonly used in complex bash: Three distinct complex numbers a, b, and c are collinear if c −a and only if is real. b−a Since a complex number is real if and only if it is equal to its conjugate, the above means the equation for a line passing throu ...
View Article - Annals of Economics and Finance
... a class of more general dynamic optimization problems with asymmetric information, and use the method developed here to reexamine the optimal labor income tax and capital income tax in the framework of Golosov et al. (2003). The remainder of the paper is organized as follows. In Section 2, we introd ...
... a class of more general dynamic optimization problems with asymmetric information, and use the method developed here to reexamine the optimal labor income tax and capital income tax in the framework of Golosov et al. (2003). The remainder of the paper is organized as follows. In Section 2, we introd ...
Quantile Regression for Large-scale Applications
... Recall, as we point out in a remark after Lemma 4, that we can use other methods for the conditioning step, i.e., for finding the well-conditioned basis U = AR−1 in the first step of Algorithm 3. Here, we will consider the empirical performance of five methods for doing so, namely, ISPC, SPC, SC, NO ...
... Recall, as we point out in a remark after Lemma 4, that we can use other methods for the conditioning step, i.e., for finding the well-conditioned basis U = AR−1 in the first step of Algorithm 3. Here, we will consider the empirical performance of five methods for doing so, namely, ISPC, SPC, SC, NO ...
final script
... A strategy is defined by picking the order of node expansion Strategies are evaluated along the following dimensions: completeness—does it always find a solution if one exists? time complexity—number of nodes generated/expanded space complexity—maximum number of nodes in memory optimality—does it al ...
... A strategy is defined by picking the order of node expansion Strategies are evaluated along the following dimensions: completeness—does it always find a solution if one exists? time complexity—number of nodes generated/expanded space complexity—maximum number of nodes in memory optimality—does it al ...
Mathematical optimization

In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.