An Etymological Dictionary of Astronomy and Astrophysics

English-French-Persian

فرهنگ ریشه‌شناختی اخترشناسی-اخترفیزیک



gradient
  زینه  
ziné (#)
Fr.: gradient  
  1. General: Degree of slope.

  2. Physics: Change in the value of a quantity (as temperature, pressure) with change in a given variable.

  3. Math.: A differential → operator (symbol → nabla, ∇) that, operating upon a function (f) of several variables, creates a → vector whose coordinates are the → partial derivatives of the function: ∇f = (∂f/∂x)i

  • (∂f/∂y)j + (∂f/∂z)k. The gradient of a → scalar function is a vector function.

Etymology (EN): From L. gradient-, gradiens, pr.p. of gradi “to walk, go,” from grad- “walk” + -i- thematic vowel + -ent suffix of conjugation.

Etymology (PE): Ziné “ladder, steps, stair,” may be related to ciné, from
cidan “to place (something) above/upon (another similar thing);” cf. Lori râ-zina, Yazdi râ-cina “stairs,” Nâyini orcen “stairs, ladder;” the phoneme change -c- into -z-, as in gozidan, gozin-/cidan, cin- both deriving from Proto-Ir. *cai- “to heap up, gather, collect.”