C-Finite Sequences and Riordan Arrays by Donatella Merlini

“…Among these, the generating function approach is particularly prevalent in enumerative combinatorics due to its versatility and widespread use. …”
Get full text

Translational and great Darboux cyclides by Lubbes, Niels

“…These are some corollaries from our classification of translational and great Darboux cyclides. We use the combinatorics associated to the set of low degree curves on such surfaces modulo numerical equivalence.…”
Get full text

The Principle of Mathematical Induction: Applications in Physical Optics by Joseph Ivin Thomas

“…In the contemporary university milieu, the demonstrative scheme is taught as part of a course in discrete mathematics, set theory, number theory, graph theory, group theory, game theory, linear algebra, logic, and combinatorics. In theoretical computer science, it bears the pivotal role of developing the appropriate cognitive skills necessary for the effective design and implementation of algorithms, assessing for both their correctness and complexity. …”
Get full text

An Information-Theoretic Proof of a Hypercontractive Inequality by Ehud Friedgut

“…The famous hypercontractive estimate discovered independently by Gross, Bonami and Beckner has had a great impact on combinatorics and theoretical computer science since it was first used in this setting in a seminal paper by Kahn, Kalai and Linial. …”
Get full text

s-Goodness for Low-Rank Matrix Recovery by Lingchen Kong, Levent Tunçel, Naihua Xiu

Get full text

Improving student understanding of the number of distinct many-particle states for a system of identical particles with a fixed number of available single-particle states by Christof Keebaugh, Emily Marshman, Chandralekha Singh

“…Additionally, difficulty with basic concepts in combinatorics that are necessary to answer the questions correctly was also found. …”
Get full text

A Study of the <i>q</i>-Truncated Exponential–Appell Polynomials by Francesco Aldo Costabile, Subuhi Khan, Hassan Ali

“…Potential applications of these polynomials span various disciplines, including combinatorics (such as partition theory and combinatorial identities), number theory (such as <i>q</i>-analogues of classical number-theoretic functions), and mathematical physics (such as in quantum groups and statistical mechanics). …”
Get full text

ADVANTAGES OF USING REGIONAL RAW MATERIALS FOR PRODUCTION OF CHOPPED SEMIFINISHED PRODUCTS IN CASING by Cherkunova A.D., Khramova V.N., Mgebrishvili I.V., Zhivotova T.Y.

“…According to the principles of food combinatorics and nutritsitology, the recipe and technology of production of fried sausages have been developed which include regional vegetable raw materials - pumpkin pulp and hip powder. …”
Get full text

Accelerating graph-based tracking tasks with symbolic regression by Nathalie Soybelman, Carlo Schiavi, Francesco A Di Bello, Eilam Gross

“…The reconstruction of particle tracks from hits in tracking detectors is a computationally intensive task due to the large combinatorics of detector signals. Recent efforts have proven that ML techniques can be successfully applied to the tracking problem, extending and improving the conventional methods based on feature engineering. …”
Get full text

Amplification of factors of regional markets transformations in the context of generation theory by R. S. Blizkiy, E. A. Divaeva

“…The researchers propose to consider combinatorics of the generations theory factors within the framework of Russian regional markets development. …”
Get full text

A common eigenmode postulate and a Λ-only model predict an exact Hubble constant that prefers SH0ES result: H0,80th=73.62694±0.00083 km s−1Mpc−1 by Jeshua Mortensen

“…., 2023). Furthermore, the combinatorics of the prime factors of the square root of the 80th TSn are observed to give a scale hierarchy of the masses of the elementary particles of the standard model to a first-order approximation. …”
Get full text

Predicting Feynman periods in ϕ 4-theory by Paul-Hermann Balduf, Kimia Shaban

Get full text

Revisiting Online Algorithms: A Survey of Set Cover Solutions Beyond Competitive Analysis by Christine Markarian, Claude Fachkha, Noura Yassine

“…Online algorithms are crucial for real-time decision-making and adaptability across diverse fields, such as operations research, computer science, and combinatorics. These algorithms handle data incrementally and make decisions without prior knowledge of future inputs, thereby effectively addressing complex challenges. …”
Get full text

Transposition of Substantive Word Forms into Adverbs of Interval: Stages, Signs, Limit by Victor V. Shigurov

“…Using the example of the instrumental case form poroj (sometimes), the combinatorics and proportion of features of nuclear and peripheral nouns, as well as nuclear substantive adverbs, that explicate different stages of adverbialization in typical contexts, are demonstrated. …”
Get full text

Projective toric designs, quantum state designs, and mutually unbiased bases by Joseph T. Iosue, T. C. Mooney, Adam Ehrenberg, Alexey V. Gorshkov

“…We draw connections between projective toric designs and a diverse set of mathematical objects, including difference and Sidon sets from the field of additive combinatorics, symmetric, informationally complete positive operator valued measures and complete sets of mutually unbiased bases (MUBs) from quantum information theory, and crystal ball sequences of certain root lattices. …”
Get full text

On a problem of Nathanson related to minimal asymptotic bases of order $h$ by Chen, Shi-Qiang, Sándor, Csaba, Yang, Quan-Hui

Get full text

Convolutions of sets with bounded VC-dimension are uniformly continuous by Olof Sisask

“…In recent years there has been a cross-fertilization between combinatorics and model theory, as a result of the realization that certain model-theoretic problems concerning ideas such as stable sets and NIP sets lead naturally to problems with purely combinatorial statements that relate in interesting ways to questions already considered in combinatorics. …”
Get full text

On equal consecutive values of multiplicative functions by Alexander P. Mangerel

“…The main strategy of proof is to apply Tao's results (which apply for all 1-bounded functions) to the multiplicative functions $|f|^{it}$ for various $t$, and then use tools from additive combinatorics to combine the information gleaned from the different choices of $t$.…”
Get full text

Assessing the Biological Value of Milk Obtained from Various Farm Animals by Orazov A., Nadtochii L., Safronova A.

“…The biological value of the milk was estimated by protein and lipid components using computational methods of food combinatorics. According to the chemical composition of the milk, camel’s milk proved to have the highest protein content (4.0%). …”
Get full text

Biologically Active Substances of Vitis amurensis Rupr.: Preventing Premature Aging by Juliya A. Praskova, Tatyana F. Kiseleva, Irina Yu. Reznichenko, Nina A. Frolova, Natalia V. Shkrabtak, Yulia Lawrence

“…Due to its comprehensive phytochemical assessment, it can find wider application in nutritive sciences, cosmetic industry, and food combinatorics. Fruits and leaves of Vitis amurensis Rupr. proved to possess a high antioxidant activity due to polyphenols, resveratrol, B vitamins, and vitamin C.…”
Get full text