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In calculus, the power rule is used to differentiate functions of the form , whenever is a real number. Since differentiation is a linear operation on the space of differentiable functions, polynomials can also be differentiated using this rule. The power rule underlies the Taylor series as it relates a power series with a function's derivatives.
Pareto principle. The Pareto principle may apply to fundraising, i.e. 20% of the donors contributing towards 80% of the total. The Pareto principle (also known as the 80/20 rule, the law of the vital few and the principle of factor sparsity[1][2]) states that for many outcomes, roughly 80% of consequences come from 20% of causes (the "vital few").
Reciprocal rule. In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents. Also, one can readily deduce the quotient rule from the ...
Politics. The separation of powers principle functionally differentiates several types of state power (usually law-making, adjudication, and execution) and requires these operations of government to be conceptually and institutionally distinguishable and articulated, thereby maintaining the integrity of each. [1]
Rule by a system of governance with many bureaus, administrators, and petty officials. Consociationalism: Rule by a government based on consensus democracy. Military junta: Rule by a committee of military leaders. Nomocracy: Rule by a government under the sovereignty of rational laws and civic right as opposed to one under theocratic systems of ...
v. t. e. In United States constitutional law, the police power is the capacity of the states and the federal government to regulate behavior and enforce order within their territory for the betterment of the health, safety, morals, and general welfare of their inhabitants. [1] Police power is defined in each jurisdiction by the legislative body ...
Occam's razor. In philosophy, Occam's razor (also spelled Ockham's razor or Ocham's razor; Latin: novacula Occami) is the problem-solving principle that recommends searching for explanations constructed with the smallest possible set of elements. It is also known as the principle of parsimony or the law of parsimony (Latin: lex parsimoniae).
A generalization of Zipf's law is the Zipf–Mandelbrot law, proposed by Benoit Mandelbrot, whose frequencies are: [clarification needed] The constant C is the Hurwitz zeta function evaluated at s. Zipfian distributions can be obtained from Pareto distributions by an exchange of variables.