在泛函分析中有多个有名的定理冠以里斯表示定理（英語：Riesz representation theorem），它们是为了纪念匈牙利数学家弗里杰什·里斯。 此定理說明希尔伯特空间的連續線性泛函都可以表示成內積。 定理： H {\displaystyle H} 是個複希尔伯特空间（也就是标量是複數 ...

The Weyl-type estimates of eigenvalues for (1.1) still are open questions. This paper is arranged as follows. In Section 2 the definition of Riesz means and Lemmas are described; Section 3 is devoted ...

Covered topics include Banach and Hilbert spaces, Hahn-Banach theorem, dual spaces, orthonormal bases, measure spaces, Lebesgue integration, convergence theorems, Lp-spaces and their duals, ...

Journal Editorial Report: Gavin Newsom says he'll Trump-proof California. Photo: Kent J. Edwards/Reuters/Gage Skidmore/Zuma Press Democrats have tried to explain their defeats in the House in ...

What began as a bonus question in a high school math contest has resulted in a staggering 10 new ways to prove the ancient mathematical rule of Pythagoras' theorem. "There are no trigonometric proofs ...

Two teenagers found ten new proofs of the Pythagorean theorem using trigonometry, debunking a century-old belief. Calcea Johnson and Ne’Kiya Jackson were St. Mary’s Academy students in New Orleans and ...

IT is well known that Dirichlet made a new start in the theory of numbers by bringing it into connection with certain analytical functions of the form??? being an integer, and s a h real quantity.

Two New Orleans students who solved the Pythagorean theorem using trigonometry have had their discovery confirmed by the math community after their findings were published in the American ...

However, at the higher levels, the representation of women in the judiciary falls short. As of January 2024, only 13.4% of judges in the High Court and 9.3% judges in the Supreme Court are women.

Delegates from 196 countries at the UN biodiversity summit in Cali, Colombia, approved on Friday a permanent body to represent Indigenous interests under the convention. Representatives from ...

The Cowboy State delivered on its conservative reputation on Tuesday, voting overwhelmingly for former President Trump, and sending Republican Senator John Barrasso and Republican Representative ...