Read More
Date: 16-5-2018
![]()
Date: 9-8-2019
![]()
Date: 21-9-2018
![]() |
A double integral is a two-fold multiple integral.
Examples of definite double integrals evaluating to simple constants include
![]() |
![]() |
![]() |
(1) |
![]() |
![]() |
![]() |
(2) |
![]() |
![]() |
![]() |
(3) |
![]() |
![]() |
![]() |
(4) |
where is Catalan's constant (Borwein et al. 2004, pp. 48-49), and
![]() |
(5) |
where is the Euler-Mascheroni constant (Sondow 2003, 2005; Borwein et al. 2004, pp. 48-49).
REFERENCES:
Borwein, J.; Bailey, D.; and Girgensohn, R. Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, 2004.
Sondow, J. "Criteria for Irrationality of Euler's Constant." Proc. Amer. Math. Soc. 131, 3335-3344, 2003. http://arxiv.org/abs/math.NT/0209070.
Sondow, J. "Double Integrals for Euler's Constant and and an Analog of Hadjicostas's Formula." Amer. Math. Monthly112, 61-65, 2005.
|
|
دخلت غرفة فنسيت ماذا تريد من داخلها.. خبير يفسر الحالة
|
|
|
|
|
ثورة طبية.. ابتكار أصغر جهاز لتنظيم ضربات القلب في العالم
|
|
|
|
|
العتبة العباسية المقدسة تستعد لإطلاق الحفل المركزي لتخرج طلبة الجامعات العراقية
|
|
|