PDF for mathematics from the official Punjab Board website. Access chapter-wise details for mathematics with the link to ...

The global data center filters market size was valued at US$ 255 million in 2024, and is projected to reach US$ 417 million by 2031, witnessing a market growth CAGR of 5.9% from 2025 to 2031, ...

As a result, they called these optimal expanders “Ramanujan graphs.” (The same year, Grigorii Margulis used different but still highly technical methods to build other examples.) “Intuitively, it ...

Absolute value is a mathematical concept often used in conjunction with a number line or graph to represent the relative value from zero (modulus). To illustrate this idea in a different way, the ...

About 70 years ago, an engineer at IBM named Hans Peter Luhn quietly changed the course of computer science. Luhn already held several patents, including one for a device that could measure a cloth’s ...

The nodes colored in dark red, for example, belong to the component tomcat-coyote. Overall, the graph contains 14K+ nodes and 60K+ edges, which represent call relationships between functions.

Abstract: Graph summarization is the problem of producing smaller graph representations of an input graph dataset, in such a way that the smaller compressed graphs capture relevant structural ...

The normal distribution is a probability distribution that follows the graph of a bell curve: the most common outcomes are clustered around the mean, with probability tapering off towards the tails.

Expertise from Forbes Councils members, operated under license. Opinions expressed are those of the author. It’s time to look at the real meaning of generative AI. To be clear, ChatGPT isn’t ...