#mathtype search results

In simpler terms, a torus of revolution can be envisioned as a donut-shaped object boasting a perfectly circular cross-section. Who doesn’t like donuts? 😜 #MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts #mathformula

The length of a vector, also known as its magnitude or norm, refers to the measure of its size or extent. It provides information about the vector's distance from the origin to its endpoint in a coordinate system. #MathType #math #mathematics #mathematical #mathfacts

Lagrange’s four-square theorem asserts that any positive whole number can be written as the sum of four squares of integers. Leave an example in the comments! #MathType #NumberTheory #math #mathematics #mathproblems #mathfacts

Another way of computing the n-th Fibonacci number is to use Binet's Formula, which calculates any Fibonacci number exactly using the golden ratio. #MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts

The Extreme Value Theorem is a fundamental result in calculus. It guarantees that a continuous function on a closed interval has both a maximum and a minimum value. #MathType #math #mathematics #mathfacts

Trigonometry is fun, but non-euclidean fun is better! Just remember: the angles of a triangle on a sphere add up to more than 180 degrees and its sides divided by the radius are just angles. #MathType #math #mathematics #mathematician #mathproblems #mathfacts

The #Laurent series, named after the mathematician Pierre Alphonse Laurent, is the representation of a complex function as a power series that includes terms of negative degree. Laurent series is used when a #Taylor series cannot be applied. #MathType #math #mathfacts

Matrices are fundamental mathematical objects that have numerous applications in various fields. Tell us, what do you use them for? #MathType #math #mathematics #mathfacts

The Fundamental Theorem of Arithmetic states that every positive integer greater than 1 can be represented uniquely as a product of prime numbers. Without this property, an irreducible number (only divisible by itself or the unit) would not need to be prime. #MathType #math

Absolute continuity has important implications in calculus and analysis, particularly in the exploration of integration and differentiation. Functions that possess absolute continuity exhibit a range of desirable properties. which ones you know? #MathType #math #mathfacts

Lami's Theorem is a straightforward application of the sine rule to #Mechanics dating back to the 17th century. This rule is still used in structural analysis in #CivilEngineering to keep those buildings standing! #MathType #math #mathematics #mathfacts

Jensen's #inequality generalizes the fact that the secant line of a convex function lies above the graph of the function. Here, we present the finite statement of this inequality. #MathType #math #mathematics #mathematical #mathematician #mathproblems

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The folium of Descartes is a mathematical curve named after René Descartes. It is a single loop with one node and two asymptotes at the end and symmetrical about the line y=x. #MathType #math #mathematics #mathematical #mathfacts

Convolution in math is an operator applied on two functions which results in another function that reflects how the shape of one is modified by the other. It can also act on periodic functions and be defined for the discrete domain. #MathType #math #mathematics #mathfacts

When paired with the linearity of the integral, Cavalieri's quadrature formula allows computing the integrals of all polynomials. #MathType #math #mathematics #mathfacts

Wilhelm Wirtinger was an Austrian mathematician born in 1865. One of his contributions is Wirtinger's Inequality, widely used in many areas of #Analysis. Notably, he also had some remarkable students like Gödel and Schrödinger. #MathType #math #mathematics #mathfacts

The equipartition theorem is widely used in classical statistic mechanics, it relates the temperature of a system to the average energy of its particles. It can be used to derive the ideal gas law and to predict the properties of stars. #MathType #math #mathematics #mathfacts

The Iverson Bracket is a powerful generalization of the well-known Kronecker Delta, very useful for embedding logical conditions and truth values into your formulas #MathType #math #mathematics #mathematical #mathfacts

It was 1962 when Kenneth E. Iverson first introduced the current notations and names of the floor and ceiling functions. He relied on the previous bracket notation of Gauss and the notion of the integer part of a real number x of Legendre. #MathType #math #mathematics #mathfacts

In every finite undirected graph, the number of vertices that touch an odd number of edges is even. In a graph G, the sum of the degrees of the vertices is equal to twice the number of edges. #MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts

Hello everyone. #MathType #mathenatics #learning #math #algebra

The Gelfond-Schneider theorem is a partial positive answer to Hilbert's 7th Problem, giving a check for transcendability (not being the solution to ANY polynomial equation in rational coefficients) for a big class of numbers. #MathType #math #mathematics #mathfacts

Liouville's theorem states that every bounded function that is holomorphic in the whole complex plane must be constant. It is a classical result in #ComplexAnalysis. #MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts