Subset representations and eigenvalues of the universal intertwining matrixGradient indexIntertwiningSubset representationSpecht moduleYoung's ruleJohnson schemeWe solve a combinatorial question concerning eige
or, explicitly, by S(n,k)=1k!∑j=0k(−1)k−j(kj)jn A composition of a positive integer n is a representation of n as a sum n = s1 + s2 + ⋯ + sk of other positive integers si, where the order of the summands matters. The total number of compositions of n is 2n...
:σ/σmax > 0.4,q < 1e-5.DBiological process-associated GO terms assigned to concordantly hyper- and hypomethylated genes in PTCLs compared to Cd3 T cells. Over-representation analysis was performed using WebGestalt (https://2024.webgestalt.org/) with adjustment for multiple testing (...
γδ17 and γδIFN cells in EAE induction. a, Schematic representation of the experimentaldesign. Double Il17a-GFP: Ifng-YFP reporter were subjected to EAE, and γδDN (GFP−YFP−), γδ17 (GFP+) and γδIFN (YFP+) cells from pLNs were isolated by FACS at the peak plateau...
ROC‑AUC curve The Receiver Operating Characteristic (ROC) curve is a graphical representation of the true positive rate (sensitivity) versus the false positive rate (1-specificity) for different classification thresholds. The Area Under the Curve (AUC) of the ROC curve is a scalar value ...
Dense matrix Dense Matrix Multiplication Dense Matrix Vector Multiply Dense Matrix-Matrix Product Dense matter Dense matter Dense matter Dense matter Dense matter Dense Medium Separator Dense multicast Dense Oceanfloor Network System for Earthquakes and Tsunamis ...
the underlying subset rank support structure. Seeherefor types of subset rank query data structures are suitable for the template parameter. Seehttps://github.com/algbio/SBWT/tree/master/api_examplesfor a self-contained piece of code demonstrating the API using the bit matrix SBWT representation...
Mesh nodes, specified as a 2-by-Np matrix of nodes (points), where Np is the number of nodes in the mesh. For details on the mesh data representation, see initmesh. Data Types: double e— Mesh edges matrix Mesh edges, specified as a 7-by-Ne matrix of edges, where Ne is the numb...
[−√q/2, √q/2]n×m, R ← [−√q/2, √q/2] ×m, s ← {0, 1}n and define c0 := As + e(A, s) c1 := B + q 2 · Hτ s + R · e(A, s) c2 := Cs + R · e(A, s) + q 2 · M ∈ Zmq ∈ Znq ∈ Zq where Hτ is the matrix representation of...
account and can therefore presumably be more effectively optimized with local searches as compared to minimum distance, but still focuses on maintaining a high distance between each pair of closest accessions which, in contrast to average pairwise distance, avoids overrepresentation of extreme values. ...