Abstract: An efficient rational function fitting methodology, called VECTFIT, is utilized toward the closed-form evaluation of the Sommerfeld integrals associated with electromagnetic Green's ...

We consider the problem of choosing an allocation in an economy in which there are one private good and one public good. Our purpose is to identify the class of procedures of choosing an allocation ...

import torch import torch._dynamo as dynamo def toy_example(inputs): out = inputs[0] for inp in filter(lambda x: (x.requires_grad), inputs): out = out * inp out = out ...

State-space models (SSMs) are crucial in deep learning for sequence modeling. They represent systems where the output depends on both current and past inputs. SSMs are widely applied in signal ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Department of Systems Biology, Harvard Medical School, Boston, MA, United States The linear framework uses finite, directed graphs with labelled edges to model biomolecular systems. Graph vertices ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

The convolution of two rational transfer functions is also rational, but a formula for the convolution has never been derived. This paper introduces a formula for the convolution of two rational ...

A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a large number of set intervals, it is ...

If you track your daily earnings using an Excel spreadsheet, you can use the same spreadsheet to estimate your projected earnings over any time period. Using Excel's "AVERAGE" function, you can ...