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Numerically approximating limit with large numbers, bumping up against machine precision

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Machine Epsilon meaning

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257
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Numerically-robust methods of calculating $1-(1-x)^n$ for $n >> 1$ and a wide dynamic range of $x$

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Between an adjacent pair of nonzero IEEE single precision real numbers, how many IEEE doubles are there?

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Verification: Machine number immediately to right and left of $2^m$

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How to compute rounding error bound?

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319
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Can differentiation be defined for floating point numbers?

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56
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Standards for representing real numbers in computers (other than floating point)?

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#reference-request #soft-question #real-numbers #computational-mathematics #floating-point
1.4k
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Integer part of natural logarithm

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#algorithms #logarithms #integers #floating-point #transcendental-functions
318
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Numerical Analysis- Finding two closest machine numbers in single precision.

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189
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How to get the fractional part of a product of large numbers with machine precision?

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How many bits to represent these numbers precisely?

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#computer-science #computational-mathematics #floating-point
216
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Floating Point Numbers - Machine numbers

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378
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How to find smallest and largest representable number possible given a Normalized Floating Point System

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534
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How to prove fl(x^k) definition

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