Almost sure lim sup behavior of bootstrapped means with
... iterated logarithm (LIL)-type result (3.5) for bootstrapped means from a sequence of random variables {Xn ; n¿1}. An interesting and unusual feature of Theorem 1 is that no assumptions are made concerning either the marginal or joint distributions of the random variables {Xn ; n¿1}; it is not assume ...
... iterated logarithm (LIL)-type result (3.5) for bootstrapped means from a sequence of random variables {Xn ; n¿1}. An interesting and unusual feature of Theorem 1 is that no assumptions are made concerning either the marginal or joint distributions of the random variables {Xn ; n¿1}; it is not assume ...
prime numbers and encryption
... expressible as a unique product of primes. It may secm obvious--how could it be any other way?. In fact there are othcr "number systems" which look like the integers (with primes, factorization, etc.) but for which unique factorization fails. Hcre is a simple examplc: Let 2Z denote the set of even i ...
... expressible as a unique product of primes. It may secm obvious--how could it be any other way?. In fact there are othcr "number systems" which look like the integers (with primes, factorization, etc.) but for which unique factorization fails. Hcre is a simple examplc: Let 2Z denote the set of even i ...
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function with the concept of the function's integral.The first part of the theorem, sometimes called the first fundamental theorem of calculus, is that the definite integration of a function is related to its antiderivative, and can be reversed by differentiation. This part of the theorem is also important because it guarantees the existence of antiderivatives for continuous functions.The second part of the theorem, sometimes called the second fundamental theorem of calculus, is that the definite integral of a function can be computed by using any one of its infinitely-many antiderivatives. This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.