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pseudo-identities which are not exact but the error is very small

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#inequality #rounding-error
470
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Error in computing $\frac{e^x-1}{x}$ for $x$ near $0$.

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#numerical-methods #approximation #error-propagation #rounding-error #rounding-unit
35
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How far has the checker piece moved?

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#trigonometry #rounding-error
1.2k
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Polynomial evaluation using the chopping and rounding techniques.

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#numerical-methods #rounding-error
409
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Numerical analysis 1 round off errors

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#numerical-methods #rounding-error
573
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Rounding error of $\ln(1 + x)$

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#numerical-methods #numerical-linear-algebra #floating-point #rounding-error #machine-precision
675
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Question on benign and catastrophic cancellations

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#numerical-methods #numerical-linear-algebra #floating-point #rounding-error #machine-precision
358
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How is the backward error analysis used in practice respect to the forward analysis?

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#numerical-methods #error-propagation #rounding-error
142
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Derive worst case error inputs for floating addition/multiplication

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#reference-request #numerical-methods #floating-point #error-propagation #rounding-error
684
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What is Relative Error of equation $2.3(4.18-3.24)$

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#numerical-methods #rounding-error
31
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Is roundDown(roundDown(x/n)/n) = roundDown(x/n²)?

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#floating-point #rounding-error
203
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How to simplify $2^{\lceil log_2(n) \rceil} - 2^{\lfloor log_2(n) \rfloor}$?

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#ceiling-and-floor-functions #rounding-error
4.3k
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second order accuracy in PDE

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#partial-differential-equations #numerical-methods #partial-derivative #rounding-error
137
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How does the machine round in floating point arithmetic?

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#reference-request #numerical-methods #floating-point #rounding-error #rounding-unit
845
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Numerical stability of Winograd short convolution algorithm

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#matrices #algorithms #numerical-linear-algebra #convolution #rounding-error

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