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simple pole वाक्य

"simple pole" हिंदी मेंsimple pole in a sentence
उदाहरण वाक्यमोबाइल
  • Heuristically this is because the logarithmic derivative of the Dedekind zeta-function of " K " always has a simple pole with residue & minus; 1 at " s " = 1.
  • This integral function is extended by analytic continuation to all complex numbers except the non-positive integers ( where the function has simple poles ), yielding the meromorphic function we call the gamma function.
  • The Weierstrass zeta function was called an " integral of the second kind " in elliptic function theory; it is a logarithmic derivative of a theta function, and therefore has simple poles, with integer residues.
  • :The function e ^ {-z } only has a pole at infinity, and that is an essential singularity, who is saying it has a simple pole ? talk ) 12 : 03, 7 January 2014 ( UTC)
  • Later, Riemann considered this function for complex values of " s " and showed that this function can be extended to a meromorphic function on the entire plane with a simple pole at " s " = 1.
  • Menard, 55, a self-made captain of industry who amassed his fortune by parlaying a simple pole-barn building business in the Wisconsin dairyland into a chain of 105 home-improvement stores across the Midwest, harbored no grand illusions about Indy.
  • However, if the second argument of \ scriptstyle { R _ C }, or the fourth argument, p, of \ scriptstyle { R _ J } is negative, then this results in a simple pole on the path of integration.
  • The study of such algebraic solutions involves examining the topology of the deformation parameter space ( and in particular, its mapping class group ); for the case of simple poles, this amounts to the study of the action of braid groups.
  • It s quite a break with the past, and, for this listener, both ill-fitting and a bad omen . " He remarked that the album's lyrical content " falls between the two simple poles of catfights over boys and sex-tease power trips over boys.
  • By starting with the Weierstrass p-function and associating with it a group of doubly periodic functions with two simple poles, he was able to give a simple derivation of the Jacobian elliptic functions, as well as modifying the existing notation to provide a more systematic approach to the subject.
  • For example, the Dirichlet series for the zeta function converges absolutely when Re " s " > 1, but the zeta function can be extended to a holomorphic function defined on \ mathbf { C } \ setminus \ { 1 \ } & thinsp; with a simple pole at 1.
  • "' Juan de Anza House "', also known as "'Anza House "', is small one-story California adobe in San Juan Bautista, California, USA . It was a simple pole and mud brick building that was typical for the Mexican era in California, including in the 1820-1840 time period in which it was built.
  • The rear military mast was replaced by a simple pole mast and sea trials in July 1906 showed that the ship could only attain from . " Dupuy de L�me " was placed in reserve after completing her refit in October 1906 and was not recommissioned until September 1908 for service on the Moroccan station.
  • Euler noted that if there were only a finite number of primes, then the product on the right would clearly converge, contradicting the divergence of the harmonic series . ( In modern language, we now say that the existence of infinitely many primes is reflected by the fact that the Riemann zeta function has a simple pole at 1 } } .)
  • :: : : : : Of course, it's worth noting that 1 / z is continuous and meromorphic on \ mathbb { C }, with a simple pole at 0.1 / z is most certainly a function, although its continuity is partly because in complex analysis, all infinities are identical . 1 / x just seems odd at first if you don't know about functions which have poles.
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