Calculus structure on the Lie conformal algebra complex and the variational complex by De Sole, Alberto, Hekmati, Pedram, Kac, Victor

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Algorithmic complexity of linear nonassociative algebra by R. K. Kerimbaev, K. A. Dosmagulova, Zh. Kh. Zhunussova

Subjects: “…algebra complexity…”
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Negative $q$-Stirling numbers by Yue Cai, Margaret Readdy

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Efficient and Private Computations with Code-Based Masking by Weijia Wang, Pierrick Méaux, Gaëtan Cassiers, François-Xavier Standaert

“…Nevertheless, this higher algebraic complexity also implies additional challenges. …”
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Iterated lower bound formulas: a diagonalization-based approach to lower bounds in proof complexity by Santhanam, R, Tzameret, I

“…This is the first equivalence between proof complexity lower bounds and standard algebraic complexity lower bounds. Our proof of this fact uses the implication from IPS lower bounds to algebraic complexity lower bounds due to Grochow and Pitassi [GP18] together with a diagonalization argument: the formulas φ_n themselves assert the non-existence of short IPS proofs for formulas encoding VNP ≠ VP at a different input length. …”

On the analytical approximation of the quadratic non-linear oscillator by modified extended iteration method by Ikramul Haque B. M., Flora Shajia Afrin

“…The percentage of error between the exact frequency and our third approximate frequency is as low as 0.001%. There is no algebraic complexity in our calculation, which is why this technique is very easy. …”
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Analytical technique for solving the quadratic nonlinear oscillator by Ismot Ara Yeasmin, Nazmul Sharif, M. Saifur Rahman, M.S. Alam

“…In this article, a simple form of harmonic balance solution is obtained where algebraic complexity is partially reduced and all the related nonlinear algebraic equations are solved analytically.…”
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A mathematical model for the interplay of Nosema infection and forager losses in honey bee colonies by Alex Petric, Ernesto Guzman-Novoa, Hermann J. Eberl

“…The model is non-autonomous with periodic coefficient functions. Algebraic complexity prevents a rigorous mathematical analysis. …”
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The arithmetic codex by Cascudo, Ignacio, Cramer, Ronald, Xing, Chaoping

“…It encompasses several well-established notions from cryptography (arithmetic secret sharing schemes, which enjoy additive as well as multiplicative properties) and algebraic complexity theory (bilinear complexity of multiplication) in a natural mathematical framework. …”
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Enumerating Discrete Resonant Rossby/Drift Wave Triads and Their Application in Information Security by Umar Hayat, Ikram Ullah, Ghulam Murtaza, Naveed Ahmed Azam, Miguel D. Bustamante

“…Via extensive analyses over several indicators (nonlinearity, algebraic complexity, linear and differential approximation probabilities, strict avalanche criteria, and bit independence criterion) we show that the newly developed S-box outperforms the S-boxes constructed by most of the existing schemes.…”
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The effect of strong shear on internal solitary-like waves by M. Stastna, A. Coutino, R. K. Walter

“…The Dubreil–Jacotin–Long, or DJL, theory of exact internal solitary waves can account for a background shear, doing so at the cost of algebraic complexity and a lack of a mathematical proof of algorithm convergence. …”
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Improved SERPENT Algorithm: Design to RGB Image Encryption Implementation by Tariq Shah, Tanveer ul Haq, Ghazanfar Farooq

“…The multiplicative substructures in a chain ring have multiple generators and thus the chain ring based S-boxes improve the algebraic complexity of the cipher. Apart from it, the algorithm is utilized in a digital RGB image encryption application where throughout the chain ring operations are performed. …”
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Algebraic methods for chemical reaction networks with extrinsic noise by Adamer, MF

“…In particular, these methods allow for parameter-free model rejection, or model testing and give upper bounds on the algebraic complexity of these tasks. Further, a parameter-free result on the capability of multistationarity in infinite classes of networks is proved.…”

Improved Twofish Algorithm: A Digital Image Enciphering Application by Tanveer ul Haq, Tariq Shah, Ghazanfar Farooq Siddiqui, Muhammad Zafar Iqbal, Ibrahim A. Hameed, Huma Jamil

“…As these S-boxes have the property of having copious generators, they, therefore, produce a rich algebraic complexity. Moreover, the time complexity of the proposed work is modified by processing the 64-bit block throughout the process and reducing the number of subkeys. …”
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Low-Complexity Cryptographic Hash Functions by Applebaum, Benny, Haramaty-Krasne, Naama, Ishai, Yuval, Kushilevitz, Eyal, Vaikuntananthan, Vinod

“…Despite the ubiquitous role of hash functions in cryptography, several of the most basic questions regarding their computational and algebraic complexity remained open. In this work we settle most of these questions under new, but arguably quite conservative, cryptographic assumptions, whose study may be of independent interest. …”
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Mathematics for Computer Graphics / by Vince, John (John A.), author 252100

“…The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves and patches, analytical geometry and barycentric coordinates. …”

18.086 Mathematical Methods for Engineers II, Spring 2005 by Strang, Gilbert

“…Scientific computing: Fast Fourier Transform, finite differences, finite elements, spectral method, numerical linear algebra. Complex variables and applications. Initial-value problems: stability or chaos in ordinary differential equations, wave equation versus heat equation, conservation laws and shocks, dissipation and dispersion. …”
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The $q=-1$ phenomenon for bounded (plane) partitions via homology concentration by P. Hersh, J. Shareshian, D. Stanton

“…Algebraic complexes whose "faces'' are indexed by partitions and plane partitions are introduced, and their homology is proven to be concentrated in even dimensions with homology basis indexed by fixed points of an involution, thereby explaining topologically two quite important instances of Stembridge's $q=-1$ phenomenon. …”
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Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) by Etingof, Pavel I

“…This is based on previous work of Losev, Marin– Pfeiffer, and Rains and the author. Keyword: Hecke algebra ; Complex reflection group ; Broué–Malle–Rouquier conjecture…”
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Characterization of Directed Graphs Representing C*-Algebra of Complex Matrices by Hidayat Wahyu, Herlinawati Elin

“…It is found that C*-algebra complex matrices n × n is a directed graph without cycles with n – 1 arrows, a single source, and has n path from the source.…”
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