Results 41 to 50 of about 550,472 (283)
III. Memoir on the theory of the partitions of numbers. Part I [PDF]
The memoir here presented is a natural sequel to my memoirs of 1891, 1893, and 1894, published in extenso in the ‘Philosophical Transactions.’ In fundamental idea it is graphical, resting, on the one hand, upon the method of the memoir on the “Compositions of Numbers,” of 1893, and, on the other, upon Sylvester’s ...
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On ℵc-Method of e-Abacus Diagram
When a specific method is chosen for a solution, representing or encoding a mathematical model, others seek to make this method ambiguous through what we can call (multiple encoding) to conceal the solution and make it more secret.
Hadil H. Sami +2 more
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XVI. Memoir on the theory of the partition of numbers.—Part I [PDF]
Art. 1. I have under consideration multipartite numbers as defined in a former paper. I recall that the multipartite number ᾱβ̄γ̄ . . . , may be regarded as specifying α + β + γ . . . things, α of one sort, β
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The rank of the semigroup of transformations stabilising a partition of a finite set
Let $\mathcal{P}$ be a partition of a finite set $X$. We say that a full transformation $f:X\to X$ preserves (or stabilizes) the partition $\mathcal{P}$ if for all $P\in \mathcal{P}$ there exists $Q\in \mathcal{P}$ such that $Pf\subseteq Q$.
+7 more
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II. Memoir on the theory of the partitions of numbers. -Part III [PDF]
Since Part II. of the Memoir appeared in November, 1898, the following papers by the author, bearing upon the Partition of Numbers, have been published:— “Partitions of Numbers whose Graphs possess Symmetry" 'Cambridge Phil. Trans.' vol. XVII., Part II.; “Application of the Partition Analysis to the Study of the Properties of any System of
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Euler number of Instanton Moduli space and Seiberg-Witten invariants [PDF]
We show that a partition function of topological twisted N=4 Yang-Mills theory is given by Seiberg-Witten invariants on a Riemannian four manifolds under the condition that the sum of Euler number and signature of the four manifolds vanish. The partition
A. Sako +20 more
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Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
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III. Memoir on the theory of the partitions of numbers. —Part V. Partitions in two-dimensional space [PDF]
In previous papers I have broached the question of the two-dimensional partitions of numbers—or, say, the partitions in a plane—without, however, having succeeded in establishing certain conjectured formulas of enumeration. The parts of such partitions are placed at the nodes of a complete, or of an incomplete, lattice in two dimensions, in such wise ...
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3D N = 1 SYM Chern-Simons theory on the Lattice
We present a method to implement 3-dimensional N = 1 SUSY Yang-Mills theory (a theory with two real supercharges containing gauge fields and an adjoint Majorana fermion) on the lattice, including a way to implement the Chern-Simons term present in this ...
A.G. Cohen +12 more
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Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas +3 more
wiley +1 more source

