Question

smallest poisitive integer does not belong in floating point system F

score 1.2k · Answer 1 · 2014-12-27 15:41:27

1.2k

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smallest poisitive integer does not belong in floating point system F

Published on 27 Dec 2014 - 15:41

score 163 · Answer 2 · 2026-02-23 02:38:24

163

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Finding a machine number such that $fl(x)=x(1+\delta)$.

Published on 23 Feb 2026 - 2:38

score 574 · Answer 3 · 2019-10-20 13:05:18

574

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$\exp(-i \infty)$ is "Not a Number" according to MATLAB. Why?

Published on 20 Oct 2019 - 13:05

score 249 · Answer 4 · 2026-03-18 17:39:39

249

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Relative error floating point number multiplication/division

Published on 18 Mar 2026 - 17:39

score 47 · Answer 5 · 2026-02-23 04:02:31

47

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Convert $x/y \cdot \frac{1-\delta_1-\delta_3}{(1-\delta_2)}$ to $x/y \cdot (1-\delta)$ using calculus

Published on 23 Feb 2026 - 4:02

score 724 · Answer 6 · 2019-10-27 01:32:09

724

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Question about machine epsilon

Published on 27 Oct 2019 - 1:32

score 203 · Answer 7 · 2026-02-24 05:09:38

203

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Topological nature of IEEE floating-point numbers

Published on 24 Feb 2026 - 5:09

score 1.8k · Answer 8 · 2026-03-22 09:55:01

1.8k

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Floating point arithmetic — catastrophic and subtractive cancellation

Published on 22 Mar 2026 - 9:55

score 62 · Answer 9 · 2026-02-23 04:03:32

62

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For rational numbers $a, b$, what is the range of $b$ such that $\lceil a + b \rfloor = \lceil a \rfloor$ holds?

Published on 23 Feb 2026 - 4:03

score 1.4k · Answer 10 · 2019-11-23 02:40:11

1.4k

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Show that formula is backwards stable

Published on 23 Nov 2019 - 2:40

score 7.1k · Answer 11 · 2019-11-24 07:45:13

7.1k

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Minimum number of bits to represent negative number

Published on 24 Nov 2019 - 7:45

score 16 · Answer 12 · 2019-11-29 13:12:36

How many discrete points can be expressed in $[-1/2, 1/2)$with IEEE 754 double floats and what is the meaning of precision?

score 427 · Answer 13 · 2019-12-12 20:45:53

427

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Why is $0.09 + 0.01$ not exactly representable as $0.1$ in floating-point systems but $0.085 + 0.015$ is?

Published on 12 Dec 2019 - 20:45

score 323 · Answer 14 · 2019-12-15 22:54:48

323

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Floating point and LU decomposition

Published on 15 Dec 2019 - 22:54

score 115 · Answer 15 · 2026-02-23 02:35:34

115

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Rounding in floating point operations

Published on 23 Feb 2026 - 2:35

List Question

smallest poisitive integer does not belong in floating point system F

Finding a machine number such that $fl(x)=x(1+\delta)$.

$\exp(-i \infty)$ is "Not a Number" according to MATLAB. Why?

Relative error floating point number multiplication/division

Convert $x/y \cdot \frac{1-\delta_1-\delta_3}{(1-\delta_2)}$ to $x/y \cdot (1-\delta)$ using calculus

Question about machine epsilon

Topological nature of IEEE floating-point numbers

Floating point arithmetic — catastrophic and subtractive cancellation

For rational numbers $a, b$, what is the range of $b$ such that $\lceil a + b \rfloor = \lceil a \rfloor$ holds?

Show that formula is backwards stable

Minimum number of bits to represent negative number

How many discrete points can be expressed in $[-1/2, 1/2)$with IEEE 754 double floats and what is the meaning of precision?

Why is $0.09 + 0.01$ not exactly representable as $0.1$ in floating-point systems but $0.085 + 0.015$ is?

Floating point and LU decomposition

Rounding in floating point operations

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