Results 61 to 70 of about 582,534 (335)
A Simple and Practical Linear Algebra Library Interface with Static Size Checking [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 Linear algebra is a major field of numerical computation and is widely applied. Most linear algebra libraries (in most programming languages) do not statically guarantee consistency of the dimensions of vectors and matrices, causing runtime errors. While
Akinori Abe, Eijiro Sumii
doaj +1 more source
A non-self-adjoint Lebesgue decomposition
, 2013 We study the structure of bounded linear functionals on a class of non-self-adjoint operator algebras that includes the multiplier algebra of every complete Nevanlinna-Pick space, and in particular the multiplier algebra of the Drury-Arveson space.
Kennedy, Matthew, Yang, Dilian
core +1 more source
Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
NumLin: Linear types for linear algebra
, 2019 We present NumLin, a functional programming language whose type system is designed to enforce the safe usage of the APIs of low-level linear algebra libraries (such as BLAS/LAPACK). We do so through a brief description of its key features and several illustrative examples.
Dhruv C. Makwana +1 more
openaire +3 more sources
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Minimizing Communication in Linear Algebra
, 2009 In 1981 Hong and Kung proved a lower bound on the amount of communication needed to perform dense, matrix-multiplication using the conventional $O(n^3)$ algorithm, where the input matrices were too large to fit in the small, fast memory.
Blackford L. S. +4 more
core +5 more sources
Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
Advanced Science, EarlyView.The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
wiley +1 more source
Advanced Science, EarlyView.The inhibitory immune checkpoints HLA‐G and CD47 are expressed on certain tumor types and inhibit immune cells in the tumor microenvironment. DSP216 binds specifically to cancer cells expressing both HLA‐G and CD47, and blocks their inhibitory signaling.
Lisa J. Jacob +12 more
wiley +1 more source
LINVIEW: Incremental View Maintenance for Complex Analytical Queries
, 2014 Many analytics tasks and machine learning problems can be naturally expressed by iterative linear algebra programs. In this paper, we study the incremental view maintenance problem for such complex analytical queries.
Abadi D. +15 more
core +1 more source
, 2023 We unify Linear Algebra by proposing a definition of determinants via one equation that implies all known properties of them:\\ 1. Cramer's Rule,\\ 2. Cofactor expansion,\\ 3. Antisymmetry of determinants,\\ 4. Linearity of determinants,\\ 5. Uniqueness of determinants up to a constant.\\ 6. $\det(A\cdot B)=\det(A)\cdot\det(B)$ for square matrices,\\ 7.
openaire +2 more sources