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Dual-Antiprisms and Partitions of Powers of 2 into Powers of 2

Discrete & Computational Geometry, 2019
A somewhat fundamental sequence of antiprisms is defined, the d-th antiprism having dimension d, each being a base of the next. The f-vectors of these polytopes are determined. In particular, it is shown that the number of faces of the d-th antiprism is the number of partitions of
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Spin Representations and Powers of 2

Algebras and Representation Theory, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bessenrodt, C., Olsson, Jørn Børling
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Squares of Primes and Powers of 2

Monatshefte f�r Mathematik, 1999
Using the circle and sieve methods the authors show that if \(N \equiv 4\bmod 8\) and \(N\) is sufficiently large then \(N\) is representable as a sum of four squares of primes and \(k\) powers of 2, provided \(k \geq 4\). They give an asymptotic formula for the number of representations.
Liu, Jianya, Liu, Ming-Chit, Zhan, Tao
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On unlike powers of primes and powers of 2

Acta Mathematica Hungarica, 2011
The authors prove that every sufficiently large even integer is a sum of a prime, a square of a prime, two cubes of primes, and 161 powers of 2. They also prove that a quantitative version of the Hardy-Littlewood conjecture for twin primes implies that one may replace 161 by 138 in the previous statement.
Liu, Zhixin, Lü, Guangshi
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POWER OF GRAPH WITH (2, 2)-BIPARTITION

Advances and Applications in Discrete Mathematics, 2015
We characterize the structure of graph G and the integers k for which the kth power of graph G, Gk is (2, 2) bipartite whenever the graph G is among cycle, n-cube and tree.
K. Manjunatha Prasad   +2 more
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2. Separation of powers

2014
This chapter discusses the origins and meaning of the separation of powers doctrine. It highlights the contribution of French nobleman and parliamentary magistrate Charles Louis de Secondat, otherwise known as Baron de Montesquieu, to political theory: L’Esprit des Lois (The Spirit of the Laws).
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On unequal powers of primes and powers of 2

The Ramanujan Journal, 2019
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BIBO stability of 2-powers

International Journal of Systems Science, 1990
Bounded input-bounded output stability of internally bilinear systems whose zero state response is homogeneous in the input of degree two is examined. Both necessary and sufficient conditions for bounded input-bounded output stability are derived which generalize the linear system criterion of Chen (1970, Theorem 8.1).
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Powers of 2 × 2 quantum matrices

Communications in Algebra, 1993
Töru Umeda, Masto Wakayama
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Bacterial motility: machinery and mechanisms

Nature Reviews Microbiology, 2021
Navish Wadhwa, Howard C Berg
exaly  

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