MathType
@MathType
MathType is the world’s leading equation editor powered by @wiris_science.
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🧠 How is AI changing math writing? In our blog "AI in Mathematics: The Revolution in Scientific Writing", we explore how tools like MathType use AI to turn handwritten equations into clear, digital math. Faster and easier than ever! 👉Read more: bit.ly/4kscLjJ
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
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
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
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
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 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
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
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
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
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
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
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
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
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
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
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
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
The linear transport equation models the variation of the concentration of a substance flowing at constant speed and direction. It's one of the easiest partial differential equations and one of the few that admits an analytic solution. #MathType #math #mathematics #mathfacts
In astrophysics, the free-fall time serves to study the time scales governing star collapse under their own gravitational attraction. For the Sun, for instance, with a mean density of 1.41 g/cm^3, the free-fall time is about 30 min! #MathType #math #mathematics #mathfacts
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