Question

Formal theory on floating point numbers?

score 190 · Answer 1 · 2016-01-28 22:43:06

190

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Formal theory on floating point numbers?

Published on 28 Jan 2016 - 22:43

score 60 · Answer 2 · 2016-01-29 08:22:05

60

Views

One wants to determine $1/(2+\sqrt 3)^4$ having access to an approximate value of $\sqrt 3$.

Published on 29 Jan 2016 - 8:22

score 69 · Answer 3 · 2016-01-31 17:48:54

69

Views

For which arguments in the range $0\le x\le \pi/4$ will $\cos x=(1-\sin^2x)^{1/2}$ fail to give good accuracy?

Published on 31 Jan 2016 - 17:48

score 221 · Answer 4 · 2016-02-03 23:58:56

221

Views

Proving that $a\le \text{fl}\left(\frac{a+b}{2}\right)\le b$

Published on 03 Feb 2016 - 23:58

score 97 · Answer 5 · 2016-02-10 09:15:08

97

Views

Stable algorithm for computation of $\Phi(20)$, when $\displaystyle \Phi(x)=\frac{2}{\sqrt{\pi}}\sum_{k=0}^{\infty}(-1)^k\frac{x^{2k+1}}{k!(2k+1)}$

Published on 10 Feb 2016 - 9:15

score 2.4k · Answer 6 · 2016-02-15 08:04:33

2.4k

Views

Computing 4-digit float point arithmetic

Published on 15 Feb 2016 - 8:04

score 74 · Answer 7 · 2016-02-21 03:02:31

74

Views

Need an Ambiguous example

Published on 21 Feb 2016 - 3:02

score 382 · Answer 8 · 2016-03-03 19:00:00

382

Views

Why do we want to keep mantissa as small as possible and exponent as large as possible?

Published on 03 Mar 2016 - 19:00

score 63 · Answer 9 · 2016-03-03 22:35:50

63

Views

Equation demonstration

Published on 03 Mar 2016 - 22:35

score 74 · Answer 10 · 2016-03-04 19:07:01

74

Views

Find original inputs $x$ and $^y$ for a given product, possible or not?

Published on 04 Mar 2016 - 19:07

score 1.1k · Answer 11 · 2016-03-13 18:42:56

1.1k

Views

Computing midpoint of an interval overflow

Published on 13 Mar 2016 - 18:42

score 3.9k · Answer 12 · 2016-03-13 23:06:38

3.9k

Views

Why is $3 \times 0.3 = 0.8999999999999999$ in floating point?

Published on 13 Mar 2016 - 23:06

score 184 · Answer 13 · 2016-03-24 12:35:46

184

Views

can anyone please explain how 2.8 modulo 2 is 0.7999999999999998?

Published on 24 Mar 2016 - 12:35

score 29 · Answer 14 · 2016-03-30 09:20:23

29

Views

If $1/2 ≤ p/q ≤ 2$ , then $p-q$ is representable exactly on the computer

Published on 30 Mar 2016 - 9:20

score 402 · Answer 15 · 2016-04-02 08:49:06

402

Views

What does leading $0s$ in a number in scientific notation mean?

Published on 02 Apr 2016 - 8:49

List Question

Formal theory on floating point numbers?

One wants to determine $1/(2+\sqrt 3)^4$ having access to an approximate value of $\sqrt 3$.

For which arguments in the range $0\le x\le \pi/4$ will $\cos x=(1-\sin^2x)^{1/2}$ fail to give good accuracy?

Proving that $a\le \text{fl}\left(\frac{a+b}{2}\right)\le b$

Stable algorithm for computation of $\Phi(20)$, when $\displaystyle \Phi(x)=\frac{2}{\sqrt{\pi}}\sum_{k=0}^{\infty}(-1)^k\frac{x^{2k+1}}{k!(2k+1)}$

Computing 4-digit float point arithmetic

Need an Ambiguous example

Why do we want to keep mantissa as small as possible and exponent as large as possible?

Equation demonstration

Find original inputs $x$ and $^y$ for a given product, possible or not?

Computing midpoint of an interval overflow

Why is $3 \times 0.3 = 0.8999999999999999$ in floating point?

can anyone please explain how 2.8 modulo 2 is 0.7999999999999998?

If $1/2 ≤ p/q ≤ 2$ , then $p-q$ is representable exactly on the computer

What does leading $0s$ in a number in scientific notation mean?

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