What is the approximate identity? - Mathematics Stack Exchange Approximate units are used to verify that two-sided closed ideals of C$^\ast$-algebras are C$^\ast$-algebras themselves Thus quotients of C$^\ast$-algebras are C$^\ast$-algebras as well Approximate units are (as I recall) used to verify the C$^\ast$-identity, which cannot be done (as easily at least) using the unitization
Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange $\begingroup$ @Lucian I always took for granted that the "approximately" qualifier acted idempotently, so while we can distinguish between 'exact equality' and 'approximate equality', 'exact approximate equality' is the same thing as 'approximate approximate equality' A world in which this is not true makes me want to stress vomit
exponential function - Feynmans Trick for Approximating $e^x . . . Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Prove that the approximate point spectrum is a subset of the spectrum A continuous linear operator is not invertible if it is not bounded from below, and since the spectrum consists of the $\lambda$ such that $ T- \lambda I$ is not injective, approximate eigenvalues lie in the spectrum
Approximation of numbers: Am I using ~ correctly? I might approximate using the following ~1k 1k is not definite number but it's more or less very close Is this the correct way of using ~? I noticed there are more than one symbol, the following exist: ≈, ≃ and ≅
Approximating the error function erf by analytical functions Given that distribution's variance is ${\tfrac {s^{2}\pi ^{2}}{3}}$, the logistic distribution can be scaled to approximate the normal distribution by multiplying its variance $\frac{3}{\pi ^2}$ The resultant approximation will have the same first and second moments as the normal distribution, but will be fatter tailed (i e , "platykurtotic")