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Although the pigeonhole principle appears as early as 1624 in a book attributed to Jean Leurechon, [2] it is commonly called Dirichlet's box principle or Dirichlet's drawer principle after an 1834 treatment of the principle by Peter Gustav Lejeune Dirichlet under the name Schubfachprinzip ("drawer principle" or "shelf principle").
In computational complexity theory, the complexity class PPP (polynomial pigeonhole principle) is a subclass of TFNP. It is the class of search problems that can be shown to be total by an application of the pigeonhole principle. Christos Papadimitriou introduced it in the same paper that introduced PPAD and PPA. [1]
The 1622 book contained a brief reference to the pigeonhole principle, much earlier than its common attribution to Peter Gustav Lejeune Dirichlet in 1834, and the 1624 book spelled out the principle in more detail. [4] The 1624 book also contained the first use of the word "thermometer", replacing an earlier word "thermoscope" for the same device.
By operation of the pigeonhole principle, no lossless compression algorithm can shrink the size of all possible data: Some data will get longer by at least one symbol or bit. Compression algorithms are usually effective for human- and machine-readable documents and cannot shrink the size of random data that contain no redundancy. Different ...
The existence of these polynomials was proven by Axel Thue; [1] Thue's proof used what would be translated from German as Dirichlet's Drawers principle, which is widely known as the Pigeonhole principle. Carl Ludwig Siegel published his lemma in 1929. [2] It is a pure existence theorem for a system of linear equations.
Dirichlet's principle; Pigeonhole principle, sometimes also called Dirichlet's principle; Dirichlet's test for convergence This page was last edited on 30 ...
Pigeonhole, a nesting space in a dovecote; Pigeon-hole messagebox, a communication method; Pigeonhole principle, a mathematical principle; Pigeonhole sort, a sorting algorithm; Pigeonholing, classifying things into categories; Pigeon Hole Station, once part of Victoria River Downs Station, Northern Territory, Australia
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