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A cheat sheet that is used contrary to the rules of an exam may need to be small enough to conceal in the palm of the hand Cheat sheet in front of a juice box. A cheat sheet (also cheatsheet) or crib sheet is a concise set of notes used for quick reference. Cheat sheets were historically used by students without an instructor or teacher's ...
In combinatorial mathematics, the hook length formula is a formula for the number of standard Young tableaux whose shape is a given Young diagram.It has applications in diverse areas such as representation theory, probability, and algorithm analysis; for example, the problem of longest increasing subsequences.
In string theory, a worldsheet is a two-dimensional manifold which describes the embedding of a string in spacetime. [1] The term was coined by Leonard Susskind [2] as a direct generalization of the world line concept for a point particle in special and general relativity.
Symmetry breaking in pitchfork bifurcation as the parameter ε is varied. ε = 0 is the case of symmetric pitchfork bifurcation.. In a dynamical system such as ¨ + (;) + =, which is structurally stable when , if a bifurcation diagram is plotted, treating as the bifurcation parameter, but for different values of , the case = is the symmetric pitchfork bifurcation.
The simple form is obtained from this by taking q 1 = q 2 = ... = q n = 2, which gives n + 1 objects. Taking q 1 = q 2 = ... = q n = r gives the more quantified version of the principle, namely: Let n and r be positive integers. If n(r - 1) + 1 objects are distributed into n boxes, then at least one of the boxes contains r or more of the ...
The triangle mate involves a queen, supported by a rook on the same file two squares away, delivering checkmate to a king that is either at the edge of the board or whose escape is blocked by a piece; the queen, rook, and king together form a triangular shape, hence the name of the mating pattern.
A knot which traditionally uses a continuous loop of strap to form a cow hitch around an object in order to hoist or lower it. Barrel hitch: The "barrel hitch" and "barrel sling," named for their use in hoisting cargo aboard ships, are a simple yet effective way to suspend an object. Becket hitch: Any hitch that is made on an eye loop, i.e., on ...