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When m is a real number, 0 < m < 1, then both K and K ′ are real numbers. By convention, K is called the real quarter period and iK ′ is called the imaginary quarter period. Any one of the numbers m, K, K ′, or K ′/K uniquely determines the others.
The category < of sets of cardinality less than and all functions between them is closed under colimits of cardinality less than . κ {\displaystyle \kappa } is a regular ordinal (see below). Crudely speaking, this means that a regular cardinal is one that cannot be broken down into a small number of smaller parts.
[1] [2] Both describe the degree to which two random variables or sets of random variables tend to deviate from their expected values in similar ways. If X and Y are two random variables, with means (expected values) μ X and μ Y and standard deviations σ X and σ Y, respectively, then their covariance and correlation are as follows: covariance
The achievable H ∞ norm of the closed loop system is mainly given through the matrix D 11 (when the system P is given in the form (A, B 1, B 2, C 1, C 2, D 11, D 12, D 22, D 21)). There are several ways to come to an H ∞ controller: A Youla-Kucera parametrization of the closed loop often leads to very high-order controller.
The friendly index of the labeling is the absolute value of the difference between the number of edges labeled 0 and the number of edges labeled 1. The friendly index set of G, denoted FI(G), is the set of numbers that can arise as friendly indexes of friendly labelings of G. [1]
Contact between manifolds is often studied in singularity theory, where the type of contact are classified, these include the A series (A 0: crossing, A 1: tangent, A 2: osculating, ...) and the umbilic or D-series where there is a high degree of contact with the sphere.
More than 38 million Americans have diabetes, and between 90% and 95% of them have type 2 diabetes. While most are adults over the age of 45, an increasing number of children and teens are also ...
In a sense, these are nullary (i.e. 0-arity) predicates. In first-order logic, a predicate forms an atomic formula when applied to an appropriate number of terms. In set theory with the law of excluded middle, predicates are understood to be characteristic functions or set indicator functions (i.e., functions from a set element to a truth value).