MEK1100 gives an introduction to the theory of scalar and vector fields with examples from fluid mechanics, geophysics and physics. The course contains gradient and directional derivative, divergence ...

In this video we will cover how to apply the dot product to determine the angle between two vectors, to determine if the vectors are parallel or orthogonal, and lastly find the resultant vector of a ...

Abstract: A geometrical approach to teaching and learning vector calculus and analysis as applied to electromagnetic fields is proposed for junior-level undergraduate electromagnetics education. For ...

Anthropic, an American Artificial Intelligence (AI) lab, is asking for three Chinese AI labs (DeepSeek, MoonshotAI, and MiniMax) to be treated as national security threats. The AI models of Anthropic ...

Derived types that mimic vector and tensor fields and Differential and integral operators for writing vector and tensor expressions. Formal's types and operators implement the discrete calculus of ...

MOLE is a high-quality (C++ & MATLAB/Octave) library that implements high-order mimetic operators to solve partial differential equations. It provides discrete analogs of the most common vector ...

For some high school students, statistics and other data science courses have unseated calculus as the de facto option for pursuing advanced math, in part due to targeted state efforts to expand ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Guided by standardized production and purification platforms, developers of monoclonal antibodies (mAbs) and other recombinant-protein therapeutics can take a relatively straightforward path when ...