This class covers a coherent approach to matrix calculus showing techniques that allow you to think of a matrix holistically (not just as an array of scalars), generalize ... f′(A)[dA]; 0I f(A)] (in ...

Basic properties of definite integrals and evaluation of definite integrals. Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector.

Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector ...

Contemporary modeling approaches to the dynamics of neural networks include two important classes of models: biologically grounded spiking neuron models and functionally inspired rate-based units. We ...

In NumPy (and PyTorch and Jax et al.), broadcasting and batching and indexing are confusing and tedious. Einstein summation, meanwhile, is good. But why only Einstein summation? Why not Einstein ...

This paper deals with an optimal control problem associated with the Kuramoto model describing the dynamical behavior of a network of coupled oscillators. Our aim is to design a suitable control ...