# first+principle

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**Inclusion-exclusion principle**— In combinatorial mathematics, the inclusion exclusion principle (also known as the sieve principle) states that if A 1, ..., A n are finite sets, then:egin{align}iggl|igcup {i=1}^n A iiggr| {} =sum {i=1}^nleft|A i ight sum {i,j,:,1 le i < j… …122

**Transfer principle**— In mathematics, the transfer principle is a concept in Abraham Robinson s non standard analysis of the hyperreal numbers. It states that any sentence expressible in a certain formal language that is true of real numbers is also true of hyperreal… …123

**Maupertuis' principle**— In classical mechanics, Maupertuis principle (named after Pierre Louis Maupertuis) is an integral equation that determines the path followed by a physical system without specifying the time parameterization of that path. It is a special case of… …124

**Duhamel's principle**— In mathematics, and more specifically in partial differential equations, Duhamel s principle is a general method for obtaining solutions to inhomogeneous linear evolution equations like the heat equation, wave equation, and vibrating plate… …125

**Likelihood principle**— In statistics,the likelihood principle is a controversial principle of statistical inference which asserts that all of the information in a sample is contained in the likelihood function.A likelihood function arises from a conditional probability …126

**Peter Principle**— For the BBC sitcom, see The Peter Principle (TV series). The Peter Principle states that in a hierarchy every employee tends to rise to his level of incompetence , meaning that employees tend to be promoted until they reach a position at which… …127

**Hardy–Weinberg principle**— for two alleles: the horizontal axis shows the two allele frequencies p and q and the vertical axis shows the genotype frequencies. Each graph shows one of the three possible genotypes. The Hardy–Weinberg principle (also known by a variety of… …128

**Thomas Jefferson's First Inaugural Address**— Friends and Fellow Citizens: CALLED upon to undertake the duties of the first executive office of our country, I avail myself of the presence of that portion of my fellow citizens which is here assembled to express my grateful thanks for the… …