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11: 10.26 Graphics
See accompanying text
Figure 10.26.7: I ~ 1 / 2 ( x ) , K ~ 1 / 2 ( x ) , 0.01 x 3 . Magnify
See accompanying text
Figure 10.26.8: I ~ 1 ( x ) , K ~ 1 ( x ) , 0.01 x 3 . Magnify
See accompanying text
Figure 10.26.9: I ~ 5 ( x ) , K ~ 5 ( x ) , 0.01 x 3 . Magnify
See accompanying text
Figure 10.26.10: K ~ 5 ( x ) , 0.01 x 3 . Magnify
12: 6.3 Graphics
For a graph of li ( x ) see Figure 6.16.2. …
13: 9.3 Graphics
§9.3(i) Real Variable
14: 26.9 Integer Partitions: Restricted Number and Part Size
Table 26.9.1: Partitions p k ( n ) .
n k
A useful representation for a partition is the Ferrers graph in which the integers in the partition are each represented by a row of dots. …
Figure 26.9.1: Ferrers graph of the partition 7 + 4 + 3 + 3 + 2 + 1 .
The conjugate partition is obtained by reflecting the Ferrers graph across the main diagonal or, equivalently, by representing each integer by a column of dots. …
15: Foreword
In 1964 the National Institute of Standards and Technology11 1 Then known as the National Bureau of Standards. published the Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by Milton Abramowitz and Irene A. …
16: 6.16 Mathematical Applications
See Carslaw (1930) for additional graphs and information. …
See accompanying text
Figure 6.16.1: Graph of S n ( x ) , n = 250 , 0.1 x 0.1 , illustrating the Gibbs phenomenon. Magnify
See accompanying text
Figure 6.16.2: The logarithmic integral li ( x ) , together with vertical bars indicating the value of π ( x ) for x = 10 , 20 , , 1000 . Magnify
17: 7.19 Voigt Functions
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Figure 7.19.1: Voigt function 𝖴 ( x , t ) , t = 0.1 , 2.5 , 5 , 10 . Magnify
See accompanying text
Figure 7.19.2: Voigt function 𝖵 ( x , t ) , t = 0.1 , 2.5 , 5 , 10 . Magnify
18: 27.21 Tables
Bressoud and Wagon (2000, pp. 103–104) supplies tables and graphs that compare π ( x ) , x / ln x , and li ( x ) . …
19: Richard A. Askey
Published in 1985 in the Memoirs of the American Mathematical Society, it also introduced the directed graph of hypergeometric orthogonal polynomials commonly known as the Askey scheme. …
20: 10.3 Graphics
§10.3(iii) Imaginary Order, Real Variable
See accompanying text
Figure 10.3.19: J ~ 5 ( x ) , Y ~ 5 ( x ) , 0.01 x 10 . Magnify