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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
80 is: the sum of Euler's totient function φ( x ) over the first sixteen integers. a semiperfect number , since adding up some subsets of its divisors (e.g., 1 , 4 , 5 , 10 , 20 and 40 ) gives 80.
The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 45°. [ 1 ] In the table below, the label "Undefined" represents a ratio 1 : 0. {\displaystyle 1:0.}
The real part of every nontrivial zero of the Riemann zeta function is 1/2. The Riemann hypothesis is that all nontrivial zeros of the analytical continuation of the Riemann zeta function have a real part of 1 / 2 . A proof or disproof of this would have far-reaching implications in number theory, especially for the distribution of prime ...
The Broncos recovered and converted the turnover into a field goal to extend their lead to two possessions with 1:56 remaining. Gardner Minshew's season is reportedly over.
The only man to lead both the FBI and the CIA urged caution to senators who might vote to confirm former Rep. Tulsi Gabbard as director of national intelligence and Kash Patel to lead the FBI ...
But, of course, all eyes were on her newest accessory — her 5.02-carat East-West Cushion Diamond Button Back Ring from Jessica McCormack — which she first debuted at 2025 Golden Globes on ...
In January 2014, Numberphile produced a YouTube video on the series, which gathered over 1.5 million views in its first month. [31] The 8-minute video is narrated by Tony Padilla, a physicist at the University of Nottingham.