For most Class 12 students, Mathematics is the subject that decides their mood during board exams. Some enjoy the challenge, ...

Understanding how cells decide their fate is a central challenge in biology, complicated by the fact that single-cell RNA ...

Artificial intelligence is everywhere. In fact, each reader of this article could have multiple AI apps operating on the very ...

This video shows how to solve algebra problems using geometry, offering a visual approach that makes abstract equations easier to understand. By translating algebra into shapes and spatial ...

To be eligible for JEE Advanced 2026, candidates must rank among the top 2.5 lakh students in JEE Main 2026, satisfy the age ...

To be eligible for JEE Advanced 2026, candidates must rank among the top 2.5 lakh students in JEE Main 2026, satisfy the age criteria. Additionally, candidates must have appeared for their Class 12 ...

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 ...

When preparing artwork for professional printing, designers rely heavily on vector images to ensure the final output is sharp, scalable, and adaptable. Raster images, composed of pixels, often lose ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams (Collage). Credit: Max-Planck-Institut für Mathematik in den Naturwissenschaften. What do the tiniest ...