Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B
What is the approximate identity? - Mathematics Stack Exchange An approximate identity (in the sense that you've described) is a sequence of operators, usually derived from some "nice" class, that converge to the identity operator in the sense that you described
exponential function - Feynmans Trick for Approximating $e^x . . . And he could approximate small values by performing some mental math to get an accurate approximation to three decimal places For example, approximating $e^ {3 3}$, we have$$e^ {3 3}=e^ {2 3+1}\approx 10e\approx 27 18281\ldots$$But what I am confused is how Feynman knew how to correct for the small errors in his approximation
Approximation of sums with integrals - Mathematics Stack Exchange You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
Approximating square roots using binomial expansion. We want to (manually) approximate $\sqrt {2}$ by using the first few terms of the binomial series expansion of \begin {align*} \sqrt {1-2x} = \sum_ {n=0}^\infty \binom {\frac {1} {2}} {n} (-2x)^n\qquad\qquad\qquad\qquad |x|<\frac {1} {2}\\ = 1-x-\frac {1} {2}x^2-\frac {1} {2}x^3+\cdots\tag {1} \end {align*} Here we look for a way to determine