MathType
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Type and handwrite mathematical notation. Easily include quality math equations in your documents and digital content. Part of @wiris.com
The DFT transforms a sequence of N complex numbers (x) into another sequence of complex numbers (X). In digital signal processing, the function x(n) represents a signal that varies over time.
#MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts
#MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts
November 12, 2025 at 10:00 AM
The DFT transforms a sequence of N complex numbers (x) into another sequence of complex numbers (X). In digital signal processing, the function x(n) represents a signal that varies over time.
#MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts
#MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts
The linear independence of vectors is a concept from linear algebra. A set of vectors is said to be linearly independent if no vector in the set can be expressed as a linear combination of the others.
#MathType #math #mathematics #mathematician #mathproblems #mathfacts
#MathType #math #mathematics #mathematician #mathproblems #mathfacts
November 10, 2025 at 10:00 AM
The linear independence of vectors is a concept from linear algebra. A set of vectors is said to be linearly independent if no vector in the set can be expressed as a linear combination of the others.
#MathType #math #mathematics #mathematician #mathproblems #mathfacts
#MathType #math #mathematics #mathematician #mathproblems #mathfacts
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
#MathType #math #mathematics #mathematical #mathfacts
November 5, 2025 at 10:00 AM
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
#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
#MathType #NumberTheory #math #mathematics #mathproblems #mathfacts
November 3, 2025 at 10:00 AM
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
#MathType #NumberTheory #math #mathematics #mathproblems #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
#MathType #math #mathematics #mathfacts
October 29, 2025 at 10:00 AM
Matrices are fundamental mathematical objects that have numerous applications in various fields. Tell us, what do you use them for?
#MathType #math #mathematics #mathfacts
#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
#MathType #math #mathematics #mathematician #mathproblems #mathfacts
October 27, 2025 at 10:00 AM
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
#MathType #math #mathematics #mathematician #mathproblems #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
#MathType #math #mathematics #mathfacts
October 24, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathfacts
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
#MathType #math #mathfacts
October 22, 2025 at 9:00 AM
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
#MathType #math #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
#MathType #math #mathematics #mathematical #mathfacts
October 17, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathematical #mathfacts
When paired with the linearity of the integral, Cavalieri's quadrature formula allows computing the integrals of all polynomials.
#MathType #math #mathematics #mathfacts
#MathType #math #mathematics #mathfacts
October 15, 2025 at 9:00 AM
When paired with the linearity of the integral, Cavalieri's quadrature formula allows computing the integrals of all polynomials.
#MathType #math #mathematics #mathfacts
#MathType #math #mathematics #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
#MathType #math #mathematics #mathfacts
October 13, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathfacts
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
#MathType #math #mathematics #mathematical #mathfacts
October 10, 2025 at 9:00 AM
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
#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
#MathType #math #mathematics #mathfacts
October 8, 2025 at 9:00 AM
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
#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
#MathType #math
October 6, 2025 at 9:00 AM
Behind every geometric figure lies a fascinating range of formulas.
Can you demonstrate the formula in the picture?
Hint! The dodecahedron comprises 12 pyramids with a pentagon as the base.
#math #mathematics #mathematical #mathematician #mathproblems #mathfacts
Can you demonstrate the formula in the picture?
Hint! The dodecahedron comprises 12 pyramids with a pentagon as the base.
#math #mathematics #mathematical #mathematician #mathproblems #mathfacts
October 3, 2025 at 9:00 AM
Behind every geometric figure lies a fascinating range of formulas.
Can you demonstrate the formula in the picture?
Hint! The dodecahedron comprises 12 pyramids with a pentagon as the base.
#math #mathematics #mathematical #mathematician #mathproblems #mathfacts
Can you demonstrate the formula in the picture?
Hint! The dodecahedron comprises 12 pyramids with a pentagon as the base.
#math #mathematics #mathematical #mathematician #mathproblems #mathfacts
The Binomial Theorem allows to quickly expand expressions in the form (x+y)^n as it describes the algebraic expansion of powers of a binomial.
The expansion will have n+1 terms and there is always a symmetry in the coefficients in front of the terms.
#math #mathfacts
The expansion will have n+1 terms and there is always a symmetry in the coefficients in front of the terms.
#math #mathfacts
October 1, 2025 at 9:00 AM
The Binomial Theorem allows to quickly expand expressions in the form (x+y)^n as it describes the algebraic expansion of powers of a binomial.
The expansion will have n+1 terms and there is always a symmetry in the coefficients in front of the terms.
#math #mathfacts
The expansion will have n+1 terms and there is always a symmetry in the coefficients in front of the terms.
#math #mathfacts
The AM-GM inequality relates the arithmetic mean (AM) to the geometric mean (GM).
For non-negative real numbers, their geometric mean will never exceed their arithmetic mean, with equality if and only if all chosen numbers are equal.
#math #mathematics #mathematical
For non-negative real numbers, their geometric mean will never exceed their arithmetic mean, with equality if and only if all chosen numbers are equal.
#math #mathematics #mathematical
September 29, 2025 at 9:00 AM
The AM-GM inequality relates the arithmetic mean (AM) to the geometric mean (GM).
For non-negative real numbers, their geometric mean will never exceed their arithmetic mean, with equality if and only if all chosen numbers are equal.
#math #mathematics #mathematical
For non-negative real numbers, their geometric mean will never exceed their arithmetic mean, with equality if and only if all chosen numbers are equal.
#math #mathematics #mathematical
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
#MathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts
September 26, 2025 at 9:10 AM
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
#MathType #math #mathematics #mathematical #mathematician #mathproblems #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
#MathType #math
September 24, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathfacts
September 22, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathfacts
A Rose or Rhodonea Curve is a curve shaped like a petalled flower. It is a sinusoid specified by the cosine or sine functions with no phase angle that is plotted in polar coordinates.
#math #mathematics #mathematical #mathematician #mathproblems #mathfacts
#math #mathematics #mathematical #mathematician #mathproblems #mathfacts
September 19, 2025 at 9:00 AM
A Rose or Rhodonea Curve is a curve shaped like a petalled flower. It is a sinusoid specified by the cosine or sine functions with no phase angle that is plotted in polar coordinates.
#math #mathematics #mathematical #mathematician #mathproblems #mathfacts
#math #mathematics #mathematical #mathematician #mathproblems #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
#MathType #math #mathematics #mathematical #mathematician #mathproblems
September 17, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathematical #mathematician #mathproblems
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
#MathType #math #mathematics #mathfacts
September 15, 2025 at 9:00 AM
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
#MathType #math #mathematics #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
#MathType #math #mathematics #mathfacts
September 12, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathfacts
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
#MathType #math #mathematics #mathfacts
September 8, 2025 at 9:00 AM
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
#MathType #math #mathematics #mathfacts