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In algebra, a septic equation is an equation of the form. where a ≠ 0. A septic function is a function of the form. where a ≠ 0. In other words, it is a polynomial of degree seven. If a = 0, then f is a sextic function (b ≠ 0), quintic function (b = 0, c ≠ 0), etc. The equation may be obtained from the function by setting f(x) = 0.
Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
Hilbert's thirteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It entails proving whether a solution exists for all 7th-degree equations using algebraic (variant: continuous) functions of two arguments. It was first presented in the context of nomography, and in particular ...
The following are the headers for Hilbert's 23 problems as they appeared in the 1902 translation in the Bulletin of the American Mathematical Society. [1] 1. Cantor's problem of the cardinal number of the continuum. 2. The compatibility of the arithmetical axioms. 3. The equality of the volumes of two tetrahedra of equal bases and equal altitudes.
Used in the context of a definite integral with variable x. A vertical bar can be used to separate variables from fixed parameters in a function, for example. f ( x | μ , σ ) {\displaystyle f (x|\mu ,\sigma )} , or in the notation for elliptic integrals. The double vertical bar, , is also employed in mathematics.
El Farol Bar problem. El Farol located on Canyon Road, Santa Fe, New Mexico. The El Farol bar problem is a problem in game theory. Every Thursday night, a fixed population want to go have fun at the El Farol Bar, unless it's too crowded. If less than 60% of the population go to the bar, they'll all have more fun than if they stayed home.
propositional logic, Boolean algebra, first-order logic. ⊥ {\displaystyle \bot } denotes a proposition that is always false. The symbol ⊥ may also refer to perpendicular lines. The proposition. ⊥ ∧ P {\displaystyle \bot \wedge P} is always false since at least one of the two is unconditionally false. ∀.
In the context of combinatorial mathematics, stars and bars (also called "sticks and stones", [1] "balls and bars", [2] and "dots and dividers" [3]) is a graphical aid for deriving certain combinatorial theorems. It can be used to solve many simple counting problems, such as how many ways there are to put n indistinguishable balls into k ...