Results 11 to 20 of about 17,724,358 (326)
Function Interval Arithmetic [PDF]
, 2014 We propose an arithmetic of function intervals as a basis for convenient rigorous numerical computation. Function intervals can be used as mathematical objects in their own right or as enclosures of functions over the reals. We present two areas of application of function interval arithmetic and associated software that implements the arithmetic: (1 ...
Jan Duracz +3 more
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On Certain Arithmetic Functions [PDF]
, 2000 In the recent book there appear certain arithmetic functions which are similar to the Smarandache function. In a recent paper we have considered certain generalization or duals of the Smarandache function. In this note we wish to point out that the arithmetic functions introduced all are particular cases of our function Fj, defined in the following ...
Sandor, J.
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A hierarchy of ramified theories below primitive recursive arithmetic [PDF]
, 2010 The arithmetical theory EA(I;O) developed by Çagman, Ostrin and Wainer ([18] and [48]) provides a formal setting for the variable separation of Bellantoni-Cook predicative recursion [6].
Spoors, Elliott John
core +6 more sources
Fast Reliable Ray-tracing of Procedurally Defined Implicit Surfaces Using Revised Affine Arithmetic [PDF]
, 2009 Fast and reliable rendering of implicit surfaces is an important area in the field of implicit modelling. Direct rendering, namely ray-tracing, is shown to be a suitable technique for obtaining good-quality visualisations of implicit surfaces. We present
Fryazinov, Oleg +2 more
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On a modification of Set(n) [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 A modification of the set Set(n) for a fixed natural number n is introduced in the form: Set(n, f), where f is an arithmetic function. The sets Set(n,φ), Set(n,ψ), Set(n,σ) are discussed, where φ, ψ and σ are Euler's function, Dedekind's function and the
Krassimir T. Atanassov, József Sándor
doaj +1 more source
Math Can Be Visual—Teaching and Understanding Arithmetical Functions through Visualization
Mathematics, 2022 Number theory is an area of mathematics not unknown to students majoring in mathematics teaching. As early as in junior high, they may encounter basic number theory concepts such as prime numbers, multiples, divisors, or even the fundamental theorem of ...
Szilárd Svitek +2 more
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On certain arithmetical functions of exponents in the factorization of integers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Some new results for the maximum and minimum exponents in factorizing integers are obtained. Related functions and generalized arithmetical functions are also introduced.
József Sándor, Krassimir T. Atanassov
doaj +1 more source
Quantum State Preparation without Coherent Arithmetic. [PDF]
Physical Review Letters, 2022 We introduce a versatile method for preparing a quantum state whose amplitudes are given by some known function. Unlike existing approaches, our method does not require handcrafted reversible arithmetic circuits, or quantum table reads, to encode the ...
Sam McArdle, Andr'as Gily'en, M. Berta
semanticscholar +1 more source
Density of Arithmetic Representations of Function Fields [PDF]
Épijournal de Géométrie Algébrique, 2022 We propose a conjecture on the density of arithmetic points in the deformation space of representations of the \'etale fundamental group in positive characteristic. This?
Hélène Esnault, Moritz Kerz
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The fractional sum of small arithmetic functions [PDF]
Journal of Number Theory, 2021 where f is an arithmetic function and ⌊·⌋ denotes the greatest integer function. When f(n) = n, this is the classic Dirichlet divisor problem. Such sums do not seem to have a name in the literature yet, so we propose to call Sf the “fractional sum of f .”
Joshua Stucky
semanticscholar +1 more source