Results 51 to 60 of about 2,550,362 (221)
The product of a quartic and a sextic number cannot be octic
Open MathematicsIn this article, we prove that the product of two algebraic numbers of degrees 4 and 6 over Q{\mathbb{Q}} cannot be of degree 8. This completes the classification of so-called product-feasible triplets (a,b,c)∈N3\left(a,b,c)\in {{\mathbb{N}}}^{3} with a ...
Dubickas Artūras, Maciulevičius Lukas
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Determination of the Minimal Polynomials of Algebraic Numbers of the Form tg2 (π/n) by the Tschirnhausen Transformation [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 Solutions of two problems are offered based on the Tschirnhausen transformation. The first problem is connected with the construction of minimal polynomials of the numbers of the form tg2 (π/n) by means of the Tschirnhausen transformation for all natural
I.G. Galyautdinov, E.E. Lavrentyeva
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Proses Berpikir Aljabar Berdasarkan Level Kognitif Mahasiswa
Arithmetic, 2023 Algebraic thinking skills need to be developed through learning mathematics, this is necessary to improve understanding of algebraic concepts. The ability to generalize experiences about numbers and calculations is a component of algebraic thinking ...
Arie Purwa Kusuma +2 more
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Application of the Neutrosophic Fuzzy Sets in Profession Determination [PDF]
Neutrosophic Sets and SystemsWe present several operations, such as algebraic sum, algebraic product, and arithmetic mean, over the neutrosophic sets extended with moment in time and sketch numbers.
K. Rajesh +3 more
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Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics
, 2015 We recall that the full susceptibility series of the Ising model, modulo powers of the prime 2, reduce to algebraic functions. We also recall the non-linear polynomial differential equation obtained by Tutte for the generating function of the q-coloured ...
Boukraa, S., Maillard, J-M.
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Expressions for values of the gamma function
, 2004 This paper presents expressions for gamma values at rational points with the denominator dividing 24 or 60. These gamma values are expressed in terms of 10 distinct gamma values and rational powers of $\pi$ and a few real algebraic numbers.
Vidunas, Raimundas
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On Some Properties of Bihyperbolic Numbers of The Lucas Type
Communications in Advanced Mathematical Sciences, 2023 To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
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Algebraic leaves of algebraic foliations over number fields [PDF]
Publications mathématiques de l'IHÉS, 2001 This paper proves an algebraicity criterion for leaves of algebraic foliations over number fields. Let \(K\) be a number field embedded in \(\mathbb C\), let \(X\) be a smooth algebraic variety over \(K\) (i.e., an integral separated scheme of finite type over \(K\)), and let \(F\) be an algebraic subbundle of the tangent bundle \(T_X\). We assume that
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Computing Bits of Algebraic Numbers [PDF]
, 2011 We initiate the complexity theoretic study of the problem of computing the bits of (real) algebraic numbers. This extends the work of Yap on computing the bits of transcendental numbers like \pi, in Logspace.
Datta, Samir, Pratap, Rameshwar
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