Failure rateFailure rate is the frequency with which an engineered system or component fails, expressed in failures per unit of time. It is usually denoted by the Greek letter λ (lambda) and is often used in reliability engineering. The failure rate of a system usually depends on time, with the rate varying over the life cycle of the system. For example, an automobile's failure rate in its fifth year of service may be many times greater than its failure rate during its first year of service.
Hadamard's gamma functionIn mathematics, Hadamard's gamma function, named after Jacques Hadamard, is an extension of the factorial function, different from the classical gamma function (it is an instance of a pseudogamma function.) This function, with its argument shifted down by 1, interpolates the factorial and extends it to real and complex numbers in a different way than Euler's gamma function. It is defined as: where Γ(x) denotes the classical gamma function. If n is a positive integer, then: Unlike the classical gamma function, Hadamard's gamma function H(x) is an entire function, i.
Reciprocal gamma functionIn mathematics, the reciprocal gamma function is the function where Γ(z) denotes the gamma function. Since the gamma function is meromorphic and nonzero everywhere in the complex plane, its reciprocal is an entire function. As an entire function, it is of order 1 (meaning that log log grows no faster than log ), but of infinite type (meaning that log grows faster than any multiple of , since its growth is approximately proportional to log in the left-half plane).
European single marketThe European single market, also known as the European internal market or the European common market, is the single market comprising mainly the member states of the European Union (EU). With certain exceptions, it also comprises the Iceland, Liechtenstein, and Norway (through the Agreement on the European Economic Area) and Switzerland (through sectoral treaties). The single market seeks to guarantee the free movement of goods, capital, services, and people, known collectively as the "four freedoms".
European Union lawEuropean Union law is a system of rules operating within the member states of the European Union (EU). Since the founding of the European Coal and Steel Community following World War II, the EU has developed the aim to "promote peace, its values and the well-being of its peoples". The EU has political institutions, social and economic policies, which transcend nation states for the purpose of cooperation and human development. According to its Court of Justice the EU represents "a new legal order of international law".
