Stephen Wolfram

JUNE 28, 2023

But what if we ask a question where the answer is some algebraic expression? The issue is that there may be many mathematically equal forms of that expression. For example, here we’re computing a derivative: And here we’re doing a factoring problem: These two answers are mathematically equal. Sometimes that’s easy to determine.

Computer 121

Computer Calculus Construction Mathematics 121

Stephen Wolfram

MAY 25, 2021

Let’s say that we’re trying to achieve the objective of having an efficient transportation system for carrying people around. The same is true of axioms for areas of abstract algebra like group theory—as well as basic Euclidean geometry (at least for integers). Ultimately an economic system is based on a large network of transactions.

Mathematics 52

Mathematics Physics Computer Algebra 52

Stephen Wolfram

DECEMBER 13, 2021

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. Turning from calculus to algebra, we’ve added the function PolynomialSumOfSquaresList that provides a kind of “certificate of positivity” for a multivariate polynomial. And a third of a century later—in Version 13.0—we’re

Construction 70

Construction Computer Physics Accessibility 70

Stephen Wolfram

NOVEMBER 10, 2021

For integers, the obvious notion of equivalence is numerical equality. For example, we know (as I discovered in 2000) that (( b · c ) · a ) · ( b · (( b · a ) · b )) = a is the minimal axiom system for Boolean algebra , because FindEquationalProof finds a path that proves it.

Physics 121

Physics Mathematics Computer Construction 121

STEM Education Shopping

JULY 22, 2023

This helps you develop a deeper understanding of concepts such as greater than, less than, and equal to. Algebra Tiles for Solving Equations Algebra tiles provide a visual representation of equations, allowing you to physically manipulate and rearrange the tiles to solve for variables.

Math 52

Math Data analysis Algebra Finance 52