The progress and perfection of mathematics are intimately linked to the prosperity of the state,” said Napoleon Bonaparte, a ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...

Lighting can make or break the look of a home. While it obviously illuminates a space, it can also act like statement pieces, dictating the vibe of the whole room. Cane lights, reminiscent of Bali, ...

Vintage style scattered circle geometry seamless pattern. Vector illustration surface design for print and web. Fun and dynamic repeatable fabric sample. Royalty-free licenses let you pay once to use ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

Add a description, image, and links to the circle-geometry topic page so that developers can more easily learn about it.

Abstract: The problem of automated theorem finding is one of 33 basic research problems in automated reasoning which was originally proposed by Wos in 1988, and it is still an open problem. The ...

We state and prove several kinds of analytification theorems of formal objects (such as coherent sheaves and formal complex spaces) which are in the spirit of Grothendieck's algebraization theorem in ...

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