- 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
- Is there a greater than about symbol? - Mathematics Stack Exchange
To indicate approximate equality, one can use ≃, ≅, ~, ♎, or ≒ I need to indicate an approximate inequality Specifically, I know A is greater than a quantity of approximately B Is there a way to
- 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
- Approximate $\coth (x)$ around $x = 0$ - Mathematics Stack Exchange
I'm trying to approximate $\coth (x)$ around $x = 0$, up to say, third order in $x$ Now obviously a simple taylor expansion doesn't work, as it diverges around $x = 0$
- calculus - Efficient and Accurate Formulas for Approximating sin x . . .
What are some of the most accurate and computationally efficient methods to approximate $ \sin (x) , \cos (x) , \tan (x) $ and $ \ln (x) $? Are there algorithms or formulas that provide a good trade-off between accuracy and computational cost?
- real analysis - How to approximate $e^ {-x}$ when $x$ is large . . .
When the value of $x$ is small, such as when $x$ is less than $1$, we can use the Taylor series to approximate its behavior The first few terms of the series often
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