MathType @MathType

Type and handwrite mathematical notation. Easily include quality math equations in your documents and digital content. Part of @wiris_science. bit.ly/3Uc2Nqr Barcelona, Spain Joined December 2008

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MathType @MathType

17 hours ago

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

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MathType @MathType

4 days ago

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

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MathType @MathType

6 days ago

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

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MathType @MathType

a week ago

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

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MathType @MathType

2 weeks ago

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

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MathType @MathType

2 weeks ago

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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MathType @MathType

2 weeks ago

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

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MathType @MathType

3 weeks ago

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

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MathType @MathType

3 weeks ago

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

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MathType @MathType

3 weeks ago

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

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MathType @MathType

4 weeks ago

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

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MathType @MathType

4 weeks ago

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

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MathType @MathType

4 weeks ago

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

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MathType @MathType

a month ago

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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MathType @MathType

a month ago

Faraday became one of the most influential scientists in history by establishing the concept of electromagnetic field and discovering many principles related to #Electromagnetism, like his law of electromagnetic induction. #mathType #math #mathematics #mathfacts

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MathType @MathType

a month ago

The Fermi energy, named after the physician Enrico Fermi, is the difference of energy between the highest and lowest occupied single-particle states in a quantum system of non-interacting fermions, when the temperature is absolute zero. #mathType #math #mathematics #mathfacts

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MathType @MathType

a month ago

The “sine cardinal” function, commonly known as “sinc” function, often appears in digital signal processing and the theory of Fourier transforms. There are two slightly different widely used definitions for this function. #mathType #math #mathematics #mathematical

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MathType @MathType

a month ago

Jordan’s lemma explains the behavior of a contour integral on the semicircular upper arc and is frequently used along the residue theorem to evaluate such integrals. #mathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts

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MathType @MathType

a month ago

L'Hôpital's Rule was actually devised by Johann Bernoulli. It appeared in the first-ever #Calculus textbook by Guillaume de L'Hôpital, thanks to an agreement: Bernoulli would inform L'Hôpital only of his latest findings in exchange for an annual payment of 300 Francs. #MathType

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MathType @MathType

2 months ago

What's the relation between the concept of differentiability and the existence of derivatives? Although the concepts are equivalent for functions of one variable, in higher dimensions differentiability is a stronger property! #mathType #math #mathematics #mathematical #mathfacts