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Alternate expression for $\operatorname{atanh}(x)$ for $\lvert x \rvert \to 1$

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#hyperbolic-functions #machine-precision
152
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Another way to compute the epsilon machine

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#numerical-methods #floating-point #machine-precision
52
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relative error of p-norm of a perturbated matrix

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#numerical-methods #matrix-equations #matrix-norms #machine-precision
38
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Most accurate way to multiply with inverse Cholesky decomposition

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#numerical-linear-algebra #cholesky-decomposition #machine-precision
38
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Practical limit on optimization tending to negative infinity

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#optimization #exponential-function #machine-precision
72
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Numerically stable way to compute ugly double fraction

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#numerical-methods #floating-point #machine-precision
58
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Simulation of a pendulum without using the angle with the Euler-Cromer method.

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#ordinary-differential-equations #vectors #simulation #eulers-method #machine-precision
40
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Proof that $\epsilon_{mach} \leq \frac{1}{2} b^{1-n}$

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#numerical-methods #computer-science #floating-point #computer-arithmetic #machine-precision
55
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verifying Ramanujan constant

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#computational-mathematics #machine-precision
51
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Double precision: When is near-zero considered zero?

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#limits #machine-precision
4.1k
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Rounding unit vs Machine precision

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#numerical-methods #floating-point #rounding-error #machine-precision #rounding-unit
753
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Does the rounding unit of a floating point system depend only on the mantissa?

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#numerical-methods #floating-point #rounding-unit #machine-precision
33
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Evaluating the error when using machine precision numbers

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#computational-mathematics #estimation #machine-precision
75
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Find expansion coefficients for non-integer rational base 'b' that minimize "$\epsilon$-closeness" to a root

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#number-theory #elementary-number-theory #machine-precision
1k
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Machine representation in fl(x) given x

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#numerical-methods #machine-precision

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