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  • ===Definition through the integral=== Usually, the integral representation is used as definition. For <math>\Re(z)>-1</math>, define
    22 KB (3,358 words) - 09:31, 10 October 2013
  • ...l functions are solutions to differential equations or [[integral equation|integral equations]] of elementary functions. Some examples of special functions are
    8 KB (1,289 words) - 13:46, 26 May 2009
  • ...sigma algebra|&sigma;-algebras]], measures, [[measurable function]]s and [[integral]]s. ...ration]] of more functions than those that are integrable in the [[Riemann integral|Riemann sense]]. To do this, measures may assign ''lengths'' or ''areas'' t
    14 KB (2,350 words) - 17:37, 10 November 2007
  • ...year are '''luni-solar calendars''', while calendars that are based on an integral number of lunar months and are not synchronized with the solar year are '''
    6 KB (968 words) - 01:12, 14 February 2010
  • More formally, the integers are the only [[integral domain]] whose positive elements are [[well-ordered]], and this order is pr ...ics)|ring]] with unity. Adding the last property says that '''Z''' is an [[integral domain]]. In fact, '''Z''' provides the motivation for defining such a stru
    10 KB (1,566 words) - 08:34, 2 March 2024
  • ...oting that ''j''<sub>1</sub> - ''j''<sub>2</sub> - ''m''<sub>3</sub> is an integral number and making the substitution
    3 KB (444 words) - 13:59, 31 December 2022
  • ...integrating Laplace's equation over an infinitely long wire, the original integral form of Biot and Savart is obtained. ...cross section, i.e., '''J''' = '''J'''(<b>r</b>' ), we must use a surface integral over the cross section ''A''. Rather than introducing a surface element, we
    11 KB (1,702 words) - 13:31, 22 April 2011
  • The integral on the right hand side becomes We already saw that the integral on the left hand side is the logarithm of ''p''/''p''<sub>0</sub>. hence
    6 KB (1,076 words) - 18:14, 27 August 2009
  • ...c, ordinary differential, partial differential ([[mathematical physics]]), integral, and other mathematical equations.
    3 KB (462 words) - 19:07, 17 May 2010
  • , so that the integral surely is non-zero, then it follows that
    4 KB (652 words) - 19:34, 4 September 2009
  • ...Lawry's claims that it was also "the first to feature a green salad as an integral part of every meal." The roast beef at the restaurant is served from a lar
    2 KB (395 words) - 15:33, 8 March 2023
  • *Jauhar, Prem P. (2006) Modern biotechnology as an integral supplement to conventional plant breeding: the prospects and challenges. Cr
    3 KB (362 words) - 10:04, 3 May 2009
  • ...esponds to a range of values, say <math>a \le x \le b</math>, so the above integral will tae the more familiar form
    3 KB (390 words) - 07:22, 26 September 2007
  • ...e formation of the United Federation of Planets, the organization which is integral to the rest of the Star Trek franchise.
    2 KB (362 words) - 00:45, 21 February 2010
  • * {{search link|intergral||ns0|ns14|ns100}} (integral) * {{search link|intregal||ns0|ns14|ns100}} (integral)
    16 KB (2,039 words) - 09:16, 2 March 2024
  • The NuScale Power Module (NPM) is a 250 megawatts thermal (MWt) integral pressurized
    3 KB (382 words) - 11:52, 19 April 2023
  • ...e course of the 19th century, it was discovered that atomic masses are not integral multiples of the hydrogen mass; now we understand that this is because isot
    7 KB (1,066 words) - 05:40, 6 March 2024
  • UTC is also, by definition, always an integral number of seconds (no fractions) different from International Atomic Time (
    3 KB (456 words) - 08:20, 15 March 2023
  • ...a. This community has grown significantly over the years and has become an integral part of American society, contributing to various aspects of the country's
    3 KB (391 words) - 08:44, 24 September 2023
  • ...rally fixed and cannot be removed without rupturing the cell. One type of integral protein called the [[transmembrane protein]] spans the membrane, so that it
    8 KB (1,202 words) - 06:30, 8 June 2009
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