bifurcation%20set
(0.002 seconds)
21—30 of 606 matching pages
21: 7.23 Tables
…
►
•
…
►
•
…
►
•
…
Abramowitz and Stegun (1964, Chapter 7) includes , , , 10D; , , 8S; , , 7D; , , , 6S; , , 10D; , , 9D; , , , 7D; , , , , 15D.
Zhang and Jin (1996, pp. 637, 639) includes , , , 8D; , , , 8D.
Zhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of , , , 7D and 8D, respectively; the real and imaginary parts of , , , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.
22: 8.26 Tables
…
►
•
…
►
•
…
►
•
…
►
•
Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
23: 23 Weierstrass Elliptic and Modular
Functions
…
24: 5.22 Tables
…
►Abramowitz and Stegun (1964, Chapter 6) tabulates , , , and for to 10D; and for to 10D; , , , , , , , and for to 8–11S; for to 20S.
Zhang and Jin (1996, pp. 67–69 and 72) tabulates , , , , , , , and for to 8D or 8S; for to 51S.
…
25: 26.10 Integer Partitions: Other Restrictions
…
►
denotes the number of partitions of into parts taken from the set
.
The set
is denoted by .
The set
is denoted by .
…
►
26.10.14
,
…
►
26.10.16
.
…
26: 3.8 Nonlinear Equations
…
►(More precisely, is the largest of the possible set of indices for (3.8.3).)
…
►Consider and .
We have and .
…
►It is called a Julia set.
In general the Julia set of an analytic function is a fractal, that is, a set that is self-similar.
…
27: 6.16 Mathematical Applications
…
►Hence if and , then the limiting value of overshoots by approximately 18%.
Similarly if , then the limiting value of undershoots by approximately 10%, and so on.
…
►
28: 32.8 Rational Solutions
…
►
…
►In the general case assume , so that as in §32.2(ii) we may set
and .
…
►In the general case assume , so that as in §32.2(ii) we may set
.
…
32.8.3
►
32.8.4
…
►