Approximating the error function erf by analytical functions
My question is if I can find, or if there are known, substitutions for this non-elementary function in terms of elementary ones. In the sense above, i.e. the approximation is
How to determine if a probabilities is exact or approximate
It then asked if the probabilities listed in the table is exact or approximate for various outcomes. My question is what are the indicators that determine if it''s exact or approximate?
Bisection Method
From the book "Numerical Methods for Engineers", by Steven C. Chapra, they state the true error is always less than the approximate error, and therefore, it is safe
Difference between "≈", "≃", and "≅"
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...
notation
I have been wondering for a long time whether there is a unequivocal way to define and use the symbols commonly adopted for an approximate equality between two quantities. I am a
Approximate solution to an equation with a high-degree polynomial
Approximate solution to an equation with a high-degree polynomial Ask Question Asked 4 years, 1 month ago Modified 4 years, 1 month ago
calculus
Finding the number of terms needed to approximate a series with a given accuracy Ask Question Asked 2 years, 3 months ago Modified 2 years, 3 months ago
approximate square roots of fractions with rationals
approximate square roots of fractions with rationals Ask Question Asked 1 year, 10 months ago Modified 1 year, 9 months ago
Calculating approximate value for some variable much bigger than
Often in physics problems, we derive some kind of function f(x) for some physical quantity and we try to find the approximate value of the function as some variable gets too big, or close to
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} (
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