In mathematics, ubiquitous objects called groups display nearly magical powers. Though they’re defined by just a few rules, groups help illuminate an astonishing range of mysteries. They can tell you ...

1. Circles as Vectors We assume the reader is familiar with the concepts of vectors in Rn and their inner products, systems of linear equations and their determinants, and plane analytic geometry. To ...

Candidates preparing for JEE Advanced 2026 can download the official syllabus PDF from jeeadv.ac.in, released by IIT Roorkee.

Thermodynamics was built to describe steam engines and stars, yet the same equations now sit at the heart of quantum computers and nanoscale devices. As physicists push into regimes where individual ...

Givaro is distributed unded the terms of the CeCILL-B free software license (see COPYING). Givaro main features are implementations of the basic arithmetic of many mathematical entities: Primes fields ...

Abstract: In the paper superresolution direction-of-arrival estimation methods such as MUSIC, Capon after beamspace processing i.e. BS-MUSIC and BS-Capon are considered. The main difference beamspace ...

This short course is a quick review of linear algebra, intended for students who have already taken a previous course in linear algebra or have some experience with vectors and matrices. The goal of ...

Google (GOOG) (GOOGL) is working to lessen Nvidia's (NVDA) advantage with its CUDA software platform, with some help from ...

DirectX12 shipped in 2015 with a simple goal: give developers more control so games run faster, look better, and scale across ...

Define the Standard Model gauge group to be S ( U ( 2) × U ( 3)), the subgroup of SU ( 5) consisting of block diagonal matrices with a 2 × 2 block and then a 3 × 3 block. (This is isomorphic to the ...

AAV-based gene therapies hold promise for treating disease, but their long-lasting gene expression limits their use in regenerative medicine. A study now presents DreAM, a drug-inducible AAV system ...

CBSE Class 12 Maths Deleted Syllabus 2025-26: The CBSE Class 12 Maths exam is scheduled to be conducted on March 9, 2026. To ensure students study only the prescribed topics, we have provided a ...