Results 71 to 80 of about 7,070,887 (229)
Advanced Science, EarlyView.Ex‐spRandom is a spatial transcriptomics platform that synergizes random‐primed chemistry with iterative hydrogel expansion. By physically decrowding the dense FFPE matrix, this scalable technology shatters the traditional resolution‐sensitivity barrier.
Shunji Zhang +7 more
wiley +1 more source
On congruences related to central binomial coefficients
Journal of Number Theory, 2011 It is known that $\sum_{k=0}^\infty\binom{2k}{k}/((2k+1)4^k)=π/2$ and $\sum_{k=0}^\infty\binom{2k}{k}/((2k+1)16^k)=π/3$. In this paper we obtain their p-adic analogues such as $$\sum_{p/23 is a prime and E_0,E_1,E_2,... are Euler numbers. Besides these, we also deduce some other congruences related to central binomial coefficients. In addition, we pose
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Two permutation classes enumerated by the central binomial coefficients
, 2013 We define a map between the set of permutations that avoid either the four patterns $3214,3241,4213,4231$ or $3124,3142,4123,4132$, and the set of Dyck prefixes. This map, when restricted to either of the two classes, turns out to be a bijection that allows us to determine some notable features of these permutations, such as the distribution of the ...
BARNABEI, MARILENA +2 more
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Generalized Binomial Trees [PDF]
We consider the problem of consistently pricing new options given the prices of related options on the same stock. The Black-Scholes formula and standard binomial trees can only accommodate one related European option which then effectively specifies the
Jackwerth, Jens Carsten
core
DyProL: Dynamic Ensemble Representation Learning for Protein–Nucleic Acid Binding Site Prediction
Advanced Science, EarlyView.Protein function is represented as a dynamic conformational ensemble rather than a single static structure. A multi‐conformation geometric attention framework aligns, clusters, and learns representative states to capture residue‐ and ensemble‐level signals. Integrating structural dynamics improves interpretable protein‐NA binding prediction and reveals
Pengpai Li +3 more
wiley +1 more source
Binomial-Coefficient Multiples Of Irrationals [PDF]
, 1998 . Denote by x a random infinite path in the graph of Pascal's triangle (left and right turns are selected independently with fixed probabilities) and by dn (x) the binomial coefficient at the n'th level along the path x.
Terrence Adams +3 more
core +1 more source
Advanced Science, EarlyView.Mesenchymal GSCs preferentially uptake palmitic acid, thereby promoting ZDHHC12‐mediated LDHA palmitoylation. This modification enhances LDHA enzymatic activity, drives glycolytic reprogramming, and facilitates exosomal LDHA‐mediated TAM regulation.
Zijie Gao +20 more
wiley +1 more source
Towards a Compositional Framework for Describing Human Phenotypes
Advanced Science, EarlyView.The Phenotype Assembly Method (PhenoAM) decomposes phenotype variables into measurable Features and typed Qualifiers, enabling standardized, machine‐readable Phenome Data Elements (PhenoDEs) that preserve measurement context. Applied in the International Human Phenome Project (IHPP), the framework yields 58 371 PhenoDEs and supports component‐level ...
Wanting Hu +11 more
wiley +1 more source
On Some Series Involving the Central Binomial Coefficients
15 ...
Adegoke, K., Frontczak, R., Goy, T.
openaire +2 more sources