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

21 hours 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

3 days 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

5 days 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 week 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 week 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

2 weeks 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

2 weeks 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

2 weeks 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

3 weeks 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

3 weeks 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

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MathType @MathType

3 weeks ago

A #prime ideal (p) in the ring of integers can be viewed in an number field K. There, it can remain prime, or it can split as a product of prime ideals. This behaviour of prime ideals in number fields is studied by algebraic #NumberTheory. #MathType #mathematics #mathfacts

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MathType @MathType

4 weeks ago

August Ferdinand Möbius introduced the Möbius function, a fundamental function in both elemental and analytical number theory. It gives us an idea of the factorization of an integer into prime factors. #mathType #math #mathematics #mathematician #mathfacts

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MathType @MathType

4 weeks ago

Here's the famous formula of #integration by parts, one of the best-known techniques to perform antiderivatives. #mathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts

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MathType @MathType

a month ago

The Gamma function was created as a solution to the problem of extending factorials beyond the positive integers. Remarkably, every generation of mathematicians since the 18th century has discovered something about it, more properties keep showing up! #mathType #math #mathematic

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MathType @MathType

a month ago

A Vandermonde matrix is a matrix with the terms of a geometric progression in each row. The best-known property of a square Vandermonde matrix is the expression of its determinant, which is useful in many fields, such as Galois theory and polynomial interpolation. #MathType

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MathType @MathType

a month ago

Fermat's Little Theorem was, as per usual with Fermat, first announced in a letter to a contemporary without proof, claiming that it was too long. Some 100 years later, the first published proof would be provided by Euler, shortly before his generalisation. #mathType #math

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MathType @MathType

a month ago

The Coriolis effect is due to a fictitious force that acts on objects in motion within a rotating frame of reference. On the Earth, this effect shows as a deflection of the trajectories of objects not connected to the ground. #mathType #math #mathematics #mathfacts

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MathType @MathType

a month ago

Descartes' rule of sign is used to predict the number of real zeros of a polynomial function. In particular, zero changes imply 0 positive roots, while just one change means a single one. #mathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts

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MathType @MathType

a month ago

Maryam Mirzakhani was the first woman to win a Fields Medal, and made key contributions to the fields of hyperbolic geometry and Riemann surfaces. #mathType #math #mathematics #mathematical #mathematician #mathproblems #mathfacts