An Etymological Dictionary of Astronomy and Astrophysics
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فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 3 Search : residue
calculus of residues
  افماریک ِ مانده‌ها   
afmârik-e mândehâ

Fr.: calcul des résidus   

The application of → Cauchy's theorem to compute residues and poles, evaluate contour integrals, sum infinite series, and carry out related calculations.

calculus; residue from O.Fr. résidu, from L. residuum "a remainder," neut. of residuus "remaining, left over," from residere "remain behind."

Afmârik, → calculus; mândehâ, plural of mândé "remained," from mândan "to remain," Mid.Pers. mânidan, mânenitan, O.Pers./Av. man- "to remain, to stay," Skt. mand-, mamandhi "to stand still, pause," Gk. menein "to wait."

residue
  مانده   
mândé (#)

Fr.: résidu   

General: Something that remains after a process involving the removal of part of the original has been completed.
Math.: If f(z) is a complex function, its residue at an isolated singularity z0 is defined by the integral (1/2πi) ∫f(z)dz taken along a simple closed curve interior to an annulus about z0.

M.E., from O.Fr. residu, from L. residuum "a remainder," neuter of residuus "remaining, left over," from residere "to remain behind."

Mândé p.p. of mândan "to remain, stay" (mân "house, home;" Mid.Pers. mândan "to remain, stay;" O.Pers. mān- "to remain, dwell;" Av. man- "to remain, dwell; to wait;" Gk. menein "to remain;" L. manere "to stay, abide" (Fr. maison, ménage; E. manor, mansion, permanent); PIE base *men- "to remain, wait for").

residue theorem
  فربین ِ مانده‌ها   
farbin-e mândehâ

Fr.: théorème des résidus   

The theorem stating that the value of the line integral of a complex function, taken along a simple closed curve encircling a finite number of isolated singularities, is given by 2πi times the sum of the residues of the function at each of the singularities.

residue; → theorem.