Relevant bibliographies by topics / Formuła point splitting

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Formuła point splitting'

Author: Grafiati
Published: 24 April 2022
Last updated: 30 July 2025

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Journal articles on the topic "Formuła point splitting"

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Bolognini, Davide, and Ulderico Fugacci. "Betti splitting from a topological point of view." Journal of Algebra and Its Applications 19, no. 06 (2019): 2050116. http://dx.doi.org/10.1142/s0219498820501169.

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A Betti splitting [Formula: see text] of a monomial ideal [Formula: see text] ensures the recovery of the graded Betti numbers of [Formula: see text] starting from those of [Formula: see text] and [Formula: see text]. In this paper, we introduce an analogous notion for simplicial complexes, using Alexander duality, proving that it is equivalent to a recursive splitting condition on links of some vertices. We provide results ensuring the existence of a Betti splitting for a simplicial complex [Formula: see text], relating it to topological properties of [Formula: see text]. Among other things,
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Singh, Ranber. "Spin–orbit splitting in graphene, silicene and germanene: Dependence on buckling." International Journal of Modern Physics B 32, no. 05 (2018): 1850055. http://dx.doi.org/10.1142/s0217979218500558.

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The spin–orbit splitting (E[Formula: see text]) of valence band maximum at the [Formula: see text] point is significantly smaller in 2D planner honeycomb structures of graphene, silicene, germanene and BN than that in the corresponding 3D bulk counterparts. For 2D planner honeycomb structure of SiC, it is almost same as that for 3D bulk cubic SiC. The bandgap which opens at the K and K[Formula: see text] points due to spin–orbit coupling (SOC) is very small in flat honeycomb structures of graphene and silicene, while in germanene it is about 2 meV. The buckling in these structures of graphene,
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Lamb, Kevin, and Patrick Weed. "A distance for circular Heegaard splittings." Journal of Knot Theory and Its Ramifications 28, no. 09 (2019): 1950059. http://dx.doi.org/10.1142/s0218216519500597.

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For a knot [Formula: see text], its exterior [Formula: see text] has a singular foliation by Seifert surfaces of [Formula: see text] derived from a circle-valued Morse function [Formula: see text]. When [Formula: see text] is self-indexing and has no critical points of index 0 or 3, the regular levels that separate the index-1 and index-2 critical points decompose [Formula: see text] into a pair of compression bodies. We call such a decomposition a circular Heegaard splitting of [Formula: see text]. We define the notion of circular distance (similar to Hempel distance) for this class of Heegaa
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Carley, Holly K., Michael K. H. Kiessling, and Volker Perlick. "On the Schrödinger spectrum of a hydrogen atom with electrostatic Bopp–Landé–Thomas–Podolsky interaction between electron and proton." International Journal of Modern Physics A 34, no. 26 (2019): 1950146. http://dx.doi.org/10.1142/s0217751x1950146x.

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The Schrödinger spectrum of a hydrogen atom, modeled as a two-body system consisting of a point electron and a point proton, changes when the usual Coulomb interaction between point particles is replaced with an interaction which results from a modification of Maxwell’s law of the electromagnetic vacuum. Empirical spectral data thereby impose bounds on the theoretical parameters involved in such modified vacuum laws. In the present paper the vacuum law proposed, in the 1940s, by Bopp, Landé–Thomas, and Podolsky (BLTP) is scrutinized in such a manner. The BLTP theory hypothesizes the existence
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Zhang, Li-Tao, and Yi-Fan Zhang. "A modified variant of HSS preconditioner for generalized saddle point problems." Advances in Mechanical Engineering 14, no. 7 (2022): 168781322211112. http://dx.doi.org/10.1177/16878132221111206.

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Recently, Zhang [Numerical Linear Algebra with Applications, 2018: e2166] constructed an efficient variant of Hermitian and skew-Hermitian splitting (HSS) preconditioner for generalized saddle point problems, and gave the corresponding theoretical analysis and numerical experiment. In this paper, based on the efficient variant of the HSS (EVHSS) preconditioner, we relax the strong condition on the iterative parameter [Formula: see text], generalize the algorithms and further present the modified variant of Hermitian and skew-Hermitian splitting (HSS) (MVHSS) preconditioner for solving the gene
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Luo, Wei-Hua, and Ting-Zhu Huang. "A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems." Journal of Applied Mathematics 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/489295.

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By using Sherman-Morrison-Woodbury formula, we introduce a preconditioner based on parameterized splitting idea for generalized saddle point problems which may be singular and nonsymmetric. By analyzing the eigenvalues of the preconditioned matrix, we find that whenαis big enough, it has an eigenvalue at 1 with multiplicity at leastn, and the remaining eigenvalues are all located in a unit circle centered at 1. Particularly, when the preconditioner is used in general saddle point problems, it guarantees eigenvalue at 1 with the same multiplicity, and the remaining eigenvalues will tend to 1 as
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Ikeda, Toru. "Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces." Journal of Knot Theory and Its Ramifications 27, no. 01 (2018): 1850004. http://dx.doi.org/10.1142/s0218216518500049.

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A [Formula: see text]-component non-splittable spatial graph [Formula: see text] in [Formula: see text] possibly admits a smooth involution on its exterior whose fixed point set is a closed surface [Formula: see text] of genus [Formula: see text]. It is known that [Formula: see text] holds if [Formula: see text] is a graph link in [Formula: see text]. In this paper, we consider [Formula: see text] to be a hyperbolic spatial graph in a closed orientable 3-manifold [Formula: see text]. We first study the case where [Formula: see text] is the 3-sphere, and provide a method for constructing [Formu
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Wang, Zhi. "Experimental study on Mode I fracture of cracked straight through the square specimen (CSTSS)." Mechanics 26, no. 1 (2020): 12–17. http://dx.doi.org/10.5755/j01.mech.26.1.22972.

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Analytical solution of tensile stress of square specimen under splitting load was obtained through Fourier Series Solution of plane stress problems. According to the stress distribution of the un-cracked square specimen, the calculation formula of Mode I fracture toughness of cracked straight through the square specimen, CSTSS, under splitting load was obtained, and the shape function was corrected by the finite element interaction integration method. In order to verify the correctness of the formula, a CSTSS splitting test was performed. The test results indicated that the stress distribution
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IKHDAIR, SAMEER M., and RAMAZAN SEVER. "A SYSTEMATIC STUDY ON NONRELATIVISTIC QUARKONIUM INTERACTION." International Journal of Modern Physics A 21, no. 19n20 (2006): 3989–4002. http://dx.doi.org/10.1142/s0217751x06030953.

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A recently proposed strictly phenomenological static quark–antiquark potential belonging to the generality V(r) = -Ar-α + κrβ + V0 is tested with heavy quarkonia in the context of the shifted large N-expansion method. This nonrelativistic potential model fits the spin-averaged mass spectra of the [Formula: see text], [Formula: see text] and [Formula: see text] quarkonia within a few MeV and also the five experimentally known leptonic decay widths of the [Formula: see text] and [Formula: see text] vector states. Further, we compute the hyperfine splittings of the bottomonium spectrum as well as
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Xiao, Yan. "Cauchy’s Integral Formula and Its Applications in Calculating Integrals." Highlights in Science, Engineering and Technology 72 (December 15, 2023): 931–37. http://dx.doi.org/10.54097/a7vee109.

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Cauchy's Integral Theorem is a crucial mathematical theorem that describes the behavior of a complex function on a complex plane. This paper reviews the proof of Cauchy's integral theorem and formula, and the deduction of Cauchy's integral like Cauchy's integral formula with the point in the numerator is on the contour integral. This paper also explores Cauchy's integral when the function contains a non-analytic point inside the contour integral. The way is splitting the entire integral into the sum of several contour integrals equivalently, putting the function f(z) in the numerator into Laur
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Dissertations / Theses on the topic "Formuła point splitting"

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Forsberg, Timmy. "The Point-Split Method and the Linking Number of Space Curves." Thesis, Uppsala universitet, Teoretisk fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-229641.

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This is a report on research done in the field of mathematical physics. It is an investigation of the concept of the linking number between two simple and closed spatial curves. The linking number is a topological invariant with scientific applications ranging from DNA biology to Topological Quantum Field Theory. Our aim is to study C ̆alug ̆areanu’s theorem, also called White’s formula, which relates the linking number to the concepts of twist and writhe. We are interested in the limit of the two curves as they approach each other. To regulate this, we introduce a regularization method that u
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Book chapters on the topic "Formuła point splitting"

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Haesemeyer, Christian, and Charles A. Weibel. "Existence of Norm Varieties." In The Norm Residue Theorem in Motivic Cohomology. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691191041.003.0010.

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This chapter constructs norm varieties for symbols ª = {𝑎<sub>1</sub>, ...,𝑎<sub>𝑛</sub>} over a field 𝑘 of characteristic 0, and starts the proof that norm varieties are Rost varieties. It first recalls the definition of a norm variety for a symbol ª in 𝐾<sup>𝑀</sup> <sub>𝑛</sub>(𝑘)/𝓁; if 𝑛 ≥ 2 and 𝑘 is 𝓁-special, norm varieties are geometrically irreducible. Next, the chapter uses the Chain Lemma to produce a specific ν‎ <sub>n−1</sub>-variety ℙ(𝒜), and a pencil Q of splitting varieties over 𝔸<sup>1</sup>—{0} whose fibers 𝑄<sub>𝑊</sub> are fixed point equivalent to ℙ (𝒜). Using a bordism res
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Conference papers on the topic "Formuła point splitting"

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Sneps-Sneppe, Manfred, and Dmitry Smirnov. "About IRR and new investment priority index." In 23rd International Scientific Conference Engineering for Rural Development. Latvia University of Life Sciences and Technologies, Faculty of Engineering and Information Technologies, 2024. http://dx.doi.org/10.22616/erdev.2024.23.tf045.

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The two most important criteria are the net present value (NPV) and the internal rate of return (IRR) for choosing among investment projects. The analysis of IRR and NPV indicates an unequivocal choice among the criteria NPV and IRR. We prepare the IRR rule. The static investment optimization problem of IRR is solved as the optimal usefulness of the well-known mathematical result of the knapsack problem. The word “static” means that all projects under consideration have equal duration. The dynamic optimization problem of investments is solved in the case of one-time costs by obtaining results
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Chichinina, T., R. Avila-Carrera, and V. Bezkhodarnov. "Seismic Anisotropy Analysis of Fractured Reservoirs." In SPE Caspian Technical Conference and Exhibition. SPE, 2023. http://dx.doi.org/10.2118/217536-ms.

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Summary Vertical fractures cause azimuthal anisotropy. To predict the fractures’ azimuth, we use anisotropy analysis of four seismic attributes: NMOA, AVOA, QVOA and Shear-Wave-Splitting (SWS). Namely: the first NMOA-attribute means "Normal-Move-Out velocity versus Azimuth". The second attribute AVOА stands for "Amplitude Versus Offset and Azimuth". The amplitude is understood as the reflection coefficient of the longitudinal (PP) wave. In the SWS analysis, we separate two shear waves from each other (S1 and S2). The S1 -wave has its polarization vector parallel to the plane of the fractures,
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