Search results
Results from the WOW.Com Content Network
In formal language theory and computer science, Iota and Jot (from Greek iota ι, Hebrew yodh י, the smallest letters in those two alphabets) are languages, extremely minimalist formal systems, designed to be even simpler than other more popular alternatives, such as lambda calculus and SKI combinator calculus.
SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation" [3]) is a computer algebra system (CAS) with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, group theory, differentiable manifolds, numerical analysis, number theory, calculus and statistics.
3Blue1Brown started as a personal programming project in early 2015. In an episode of the podcast Showmakers, Sanderson explained that he wanted to practice his coding skills and decided to make a graphics library in Python, which eventually became the open-source project Manim (Mathematical Animation Engine). [17]
In mathematics and computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions as arguments (i.e. a procedural parameter, which is a parameter of a procedure that is itself a procedure), returns a function or value as its result. All other functions are first-order functions.
Montague grammar can represent the meanings of quite complex sentences compactly. Below is a grammar presented in Eijck and Unger's textbook. [5]The types of the syntactic categories in the grammar are as follows, with t denoting a term (a reference to an entity) and f denoting a formula.
In applied mathematical analysis, "piecewise-regular" functions have been found to be consistent with many models of the human visual system, where images are perceived at a first stage as consisting of smooth regions separated by edges (as in a cartoon); [9] a cartoon-like function is a C 2 function, smooth except for the existence of ...
theorem and_swap (p q : Prop) : p ∧ q → q ∧ p := by intro h -- assume p ∧ q with proof h, the goal is q ∧ p apply And.intro -- the goal is split into two subgoals, one is q and the other is p · exact h.right -- the first subgoal is exactly the right part of h : p ∧ q · exact h.left -- the second subgoal is exactly the left part of ...
The part of this equation involving ^ can be computed directly using the wave function at time , but to compute the exponential involving ^ we use the fact that in frequency space, the partial derivative operator can be converted into a number by substituting for , where is the frequency (or more properly, wave number, as we are dealing with a ...