This study investigated the neural mechanisms involved in feelings of interpersonal guilt and responsibility evoked by social decisions. In two studies (one during fMRI) ...

GIDL is primarily caused by band-to-band tunneling (BTBT) at the drain junction under high electric field conditions. This ...

It begins with an introduction to numerical methods in general, including specific references to the mathematical tools required for field analysis, e.g., solution of systems of simultaneous linear ...

linear stochastic differential equations, theory for diffusion processes, Markov processes, Dynkin’s Formula, Girsanov’s Theorem. The course gives an introduction to the most common numerical methods ...

Masaki Kashiwara has won the 2025 Abel prize, seen by some as the Nobel of mathematics, for his contributions to algebraic ...

Black hole singularities should not exist, according to theories of quantum mechanics. New tweaks to Einstein's equations of general relativity could finally do away with them, and explain what truly ...

In this paper, I show that this debate can be resolved by constructing a general version of Hamilton’s rule, which allows for a large variety of ways in which the fitness of an individual can depend ...

An equation is a statement with an equals sign, stating that two expressions are equal in value, for example \(3x + 5 = 11\) Solving an equation means finding the value or values for which the two ...

A special focus of the article is on the fact that the fabric of Maxwell's equations allows for quantization of charges. When Thomson discovered electrons, it was proved that electric flux is ...

Discover how mechanical principles are demonstrated with LEGO, showcasing linear motion and various gear mechanisms. From reciprocating linear motion (like a woodpecker’s movement) to the windscreen ...

To help students prepare effectively, we have compiled 50 important MCQs from papers from previous years and CBSE sample papers. These carefully selected questions cover key concepts from all chapters ...