Figures, Tables, and Topics from this paper
figure 10.1 
table 10.1 
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table 11.1 
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figure 12.1 
table 12.1 
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table 13.1 
figure 13.1 
table 13.2 
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table 14.1 
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table 14.7 
figure 15.1 
figure 15.2 
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table 16.1 
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table 17.10 
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table 17.11 
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table 17.12 
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table 17.2 
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figure 17.3 
table 17.3 
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table 17.6 
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table 17.7 
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table 17.8 
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figure 18.1 
table 18.1 
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table 18.4 
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table 18.6 
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table 18.7 
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figure 19.1 
table 19.1 
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figure 2.1 
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table 21.1 
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table 21.2 
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table 21.3 
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table 21.4 
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figure 21.41 
table 21.5 
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table 21.6 
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table 21.7 
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table 24.1 
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table 24.11 
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table 24.2 
table 24.20 
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table 24.22 
table 24.23 
table 24.3 
table 24.4 
table 24.5 
table 24.6 
table 24.7 
table 24.8 
table 24.9 
table 26.1 
table 26.13 
table 26.14 
table 26.2 
table 26.3 
table 26.5 
table 26.6 
table 26.7 
table 27.1 
table 27.2 
figure 3.1 
figure 3.2 
table 3.2 
figure 3.3 
figure 3.4 
figure 3.5 
table 4.1 
figure 4.1 
table 4.2 
figure 4.2 
table 4.3 
table 4.4 
table 4.5 
figure 5.1 
table 6.1 
figure 6.1 
table 6.2 
table 6.3 
table 6.5 
figure 7.1 
table 7.1 
figure 7.10 
figure 7.2 
figure 7.3 
figure 7.4 
figure 7.5 
figure 7.6 
figure 7.7 
figure 7.8 
figure 7.9 
table 9.1 
table 9.2 
table D.1 
figure D.1 
table D.2 
figure D.2 
table D.3 
table D.4 
table D.6
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References
SHOWING 1-10 OF 716 REFERENCES
The Story of a Number
- pp. LCCN QA247.5.M33
- 1994
International Organization for Standardization, Geneva
- Switzerland, September
- 1998
To Infinity And Beyond A Cultural History Of The Infinite
- Mathematics
- 2016
Thank you for downloading to infinity and beyond a cultural history of the infinite. As you may know, people have look numerous times for their favorite readings like this to infinity and beyond a… Expand
Continuous Multivariate Distributions, Volume 1: Models and Applications
- Mathematics
- 2019
Thank you for downloading continuous multivariate distributions vol 1 models and applications. Maybe you have knowledge that, people have look hundreds times for their favorite readings like this… Expand
Algorithm 969
- Computer Science, Mathematics
- ACM Trans. Math. Softw.
- 2017
The algorithm combines the use of series expansions, Poincaré-type expansions, uniform asymptotic expansions, and recurrence relations, depending on the parameter region, for computing the incomplete gamma function γ*(a, z). Expand
Chopping a Chebyshev Series
- Mathematics, Computer Science
- ACM Trans. Math. Softw.
- 2017
This paper describes the chopping algorithm introduced in Chebfun Version 5.3 in 2015 after many years of discussion and the considerations that led to this design. Expand
Correctly Rounded Arbitrary-Precision Floating-Point Summation
- Computer Science
- IEEE Transactions on Computers
- 2017
A fast algorithm together with its low-level implementation of correctly rounded arbitrary-precision floating-point summation and the worst-case complexity of this algorithm is given. Expand
Error bounds on complex floating-point multiplication with an FMA
- Computer Science, Mathematics
- Math. Comput.
- 2017
It is proved that the term $2u$ is asymptotically optimal not only for this naive FMA-based algorithm, but also for two other algorithms, which use the FMA operation as an efficient way of implementing rounding error compensation. Expand
KISS: A bit too simple
- Computer Science
- Cryptography and Communications
- 2017
A number of reasons why the generator does not meet some of the KISS authors’ claims are shown, why it is not suitable for use as a stream cipher, and that it isNot cryptographically secure are shown. Expand