Results 111 to 120 of about 13,126,261 (396)
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints [PDF]
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of stable set polytope. We apply it to majority functions and prove their formula size lower bounds improved from the classical result of Khrapchenko [13].
arxiv
ON THE DERIVATIVES OF FUNCTIONS OF BOUNDED VARIATION [PDF]
Using a standard complete metric $w$ on the set $F$ of continuous functions of bounded variation on the interval $[0,1]$, we find that a typical function in $F$ has an infinite derivative at continuum many points in every subinterval of $[0,1]$.
openaire +4 more sources
Disruption of SETD3‐mediated histidine‐73 methylation by the BWCFF‐associated β‐actin G74S mutation
The β‐actin G74S mutation causes altered interaction of actin with SETD3, reducing histidine‐73 methylation efficiency and forming two distinct actin variants. The variable ratio of these variants across cell types and developmental stages contributes to tissue‐specific phenotypical changes. This imbalance may impair actin dynamics and mechanosensitive
Anja Marquardt+8 more
wiley +1 more source
Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever+1 more
wiley +1 more source
Perceptron Mistake Bounds [PDF]
We present a brief survey of existing mistake bounds and introduce novel bounds for the Perceptron or the kernel Perceptron algorithm. Our novel bounds generalize beyond standard margin-loss type bounds, allow for any convex and Lipschitz loss function, and admit a very simple proof.
arxiv
Spectral Bounds for the Torsion Function [PDF]
Let $ $ be an open set in Euclidean space $\R^m,\, m=2,3,...$, and let $v_ $ denote the torsion function for $ $. It is known that $v_ $ is bounded if and only if the bottom of the spectrum of the Dirichlet Laplacian acting in $\Leb^2( )$, denoted by $ ( )$, is bounded away from $0$. It is shown that the previously obtained bound $\|v_ \|_{\Leb^
openaire +5 more sources
Surfaceome: a new era in the discovery of immune evasion mechanisms of circulating tumor cells
In the era of immunotherapies, many patients either do not respond or eventually develop resistance. We propose to pave the way for proteomic analysis of surface‐expressed proteins called surfaceome, of circulating tumor cells. This approach seeks to identify immune evasion mechanisms and discover potential therapeutic targets. Circulating tumor cells (
Doryan Masmoudi+3 more
wiley +1 more source
Which solutions of the third problem for the Poisson equation are bounded?
This paper deals with the problem Δu=g on G and ∂u/∂n+uf=L on ∂G. Here, G⊂ℝm, m>2, is a bounded domain with Lyapunov boundary, f is a bounded nonnegative function on the boundary of G, L is a bounded linear functional on W1,2(G) representable by a real ...
Dagmar Medková
doaj +1 more source
Coefficient Bounds for Level 2 Cusp Forms and Modular Functions [PDF]
We give explicit upper bounds for the coefficients of arbitrary weight $k$, level 2 cusp forms, making Deligne's well-known $O(n^{\frac{k-1}{2}+\epsilon})$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.
arxiv
Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker+14 more
wiley +1 more source