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A balance puzzle or weighing puzzle is a logic puzzle about balancing items—often coins—to determine which one has different weight than the rest, by using balance scales a limited number of times. The solution to the most common puzzle variants is summarized in the following table: [1]
The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP ...
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.
A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems .
Weighing matrices take their name from the problem of measuring the weight of multiple objects. If a measuring device has a statistical variance of σ 2 {\displaystyle \sigma ^{2}} , then measuring the weights of N {\displaystyle N} objects and subtracting the (equally imprecise) tare weight will result in a final measurement with a variance of ...
A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set. The result of this application of a weight function is a weighted sum or weighted average .
A Minnesota horticulture teacher set a world record in California on Monday for the heaviest pumpkin after growing a giant jack-o'-lantern gourd weighing 2,749 pounds (1,247 kilograms). Travis ...
A giant pumpkin being grown in Japan. A giant pumpkin is an orange fruit of that is a cultivar of the squash Cucurbita maxima, commonly weighing from 68 kilograms (150 lb) to over 910 kilograms (2,010 lb). [1]