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name "Lobachevsky function" is not quite historically accurate, as Lobachevsky's formulas for hyperbolic volume used the slightly different function ∫ 0...

student days, Lobachevsky was accused by a vengeful supervisor of atheism (Russian: признаки безбожия, lit. 'signs of godlessness'). Lobachevsky's main achievement...

} The function D(z) is sometimes called the Bloch-Wigner function. Lobachevsky's function and Clausen's function are closely related functions. William...

crater on the Moon Lobachevsky Prize, including the Lobachevsky Medal Lobachevsky function, also called the Clausen function "Lobachevsky" (song), a humorous...

x}{x}}f(x)\,dx} is taken to be an improper Riemann integral, we have Lobachevsky's Dirichlet integral formula ∫ 0 ∞ sin 2 ⁡ x x 2 f ( x ) d x = ∫ 0 ∞ sin...

a function as a relation in which every first element has a unique second element. Lobachevsky (1834) writes that The general concept of a function requires...

where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities...

geometry, named after one of its discoverers, the Russian geometer Nikolai Lobachevsky. This page is mainly about the 2-dimensional (planar) hyperbolic geometry...

"Geometrische Untersuchungen zur Theory der Parallellinien" by Nikolai Lobachevsky. This publication became widely known in English after the Texas professor...

(sequence A091518 in the OEIS), where Λ {\displaystyle \Lambda } is the Lobachevsky function. From this perspective, the figure-eight knot can be considered the...

his proof of Mostow's theorem. Chapter 7 (by Milnor) describes the Lobachevsky function and its applications to computing volumes of hyperbolic 3-manifolds...

possible to calculate the volume of an ideal polyhedron using the Lobachevsky function. The surface of an ideal polyhedron forms a hyperbolic manifold,...

National Research State University of Nizhny Novgorod named after N.I. Lobachevsky, UNN (Russian: Нижегородский национа́льный иссле́довательский госуда́рственный...

/4)=8G\approx 7.32772\dots } where Λ {\displaystyle \Lambda } is the Lobachevsky function and G {\displaystyle G} is Catalan's constant. The complement of...

Gaussian curvature of the plane is −1. Sinh, cosh and tanh are hyperbolic functions. The polar coordinate system is a two-dimensional coordinate system in...

spaces, the volume of orthoschemes can be expressed in terms of the Lobachevsky function, or in terms of dilogarithms. Hugo Hadwiger conjectured in 1956 that...

respectively) which looks like a well-known function space on the set: an algebra of continuous functions or an algebra of sets respectively. More precisely...

N.I. Lobachevsky Institute of Mathematics and Mechanics - N.I. Lobachevsky Institute of Mathematics and Mechanics – one of Kazan Federal University’s...

Lobachevsky at Kazan University in Russia. Before computers were used, numerical calculations were done by hand. Although piecewise-defined functions...

spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree...