Visualizing Functions as Graphs. In the applet below is intended to help you understand the connection between the graph of a function and the function itself. Recall that a function can be thought of ...

How to Graph a Function in Excel. 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 ...

All such input-output functions are rational functions of their inputs, with coefficients which are themselves rational functions of the Markov transition rates. There is a uniform procedure for ...

Graph and sparse matrix systems are highly tuned, able to run complex graph analytics in fractions of seconds on billion-edge graphs. For both developers and researchers, the focus has been on ...

The Hill functions, H h (x) = x h / (1 + x h), have been widely used in biology for over a century but, with the exception of H 1, they have had no justification other than as a convenient fit to ...

In this article, I'll be exploring the basics of Python, i.e. variables, input and output. You'll need Python (2.7+), a computer, and some free time. Variables Simply put, variables are like ...

Functions of electronic systems; Input, process and output devices; Drivers; Programmable microcontrollers; Logic gates; Compound gear and pulley systems: Gears ...

Control Barrier Functions (CBFs) offer a framework for ensuring set invariance and designing constrained control laws. However, crafting a valid CBF relies on system-specific assumptions and the ...

Many eukaryotic signaling proteins are regulated by a modular allosteric mechanism: a catalytic 'output' domain—which in isolation is constitutively active—is repressed by modular 'input ...