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Characterisation by Addition Formulae
In the previous chapter we proved that rational functions, rational functions of an exponential function and elliptic functions have addition...
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Addition Theorems
Of course, we can loosen the condition of polynomiality and take ‘a rational function 𝑅(𝑋,𝑌, 𝑍)’ instead of ‘a polynomial 𝑃(𝑋,𝑌, 𝑍)’, because...
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Addition–deletion results for plus-one generated curves
In the recent paper A. Dimca proves that when one adds to or deletes a line from a free curve, the resulting curve is either free or plus-one...
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Subtraktion und Addition
Die Grundrechenarten Addition und Subtraktion sind zentraler Bestandteil des Arithmetikunterrichts ab der Jahrgangsstufe 1 bis weit in die...
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Watson’s addition formula and q series
An Extension of Watson’s addition formula for Theta functions and Landen transformation is obtained. This is based on properties on the...
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Special Properties of the Point Addition Law for Non-Cyclic Edwards Curves
The authors analyze the special properties of two classes of quadratic and twisted Edwards curves over a prime field, which take into account their...
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The cosine addition and subtraction formulas on non-abelian groups
Let G be a topological group, and let C ( G ) denote the algebra of continuous, complex valued functions on G . We determine the solutions
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Addition–deletion theorems for the Solomon–Terao polynomials and B-sequences of hyperplane arrangements
We prove the addition–deletion theorems for the Solomon–Terao polynomials, which have two important specializations. Namely, one is to the...
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Addition Operations on the Multiplicative Monoid of Integers
The paper studies modules over a certain generalized ring. This ring is the noncommutative tensor square of the ring of integers. The modules in...
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Finding minimal solutions to the system of addition-min fuzzy relational inequalities
In the literature, a BitTorrent-like peer-to-peer file-sharing system has been modelled as a system of addition-min fuzzy relational inequalities...
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The Addition of Vortices
The symplectic and Poisson formulations of point vortex and vortex rings models, mainly due to Marsden and Weinstein (Physica D 7:305–323, 1983), are...
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Around the Sine Addition Law and d’Alembert’s Equation on Semigroups
We treat several related trigonometric functional equations on semigroups. First we make a small improvement to the description of solutions of the...
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Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities
In this paper, we study a new type of fuzzy relation system called fuzzy relational inequalities with addition-min-product composition operations to...
