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: 10 Search : root
cube root
  ریشه‌ی ِ کابی   
riše-ye kâbi

Fr.: racine cubique   

A number which taken three times as a factor produces another number, the cube of the given factor.

cube; → root.

double root
  ریشه‌ی ِ دوتایی   
riše-ye dotâyi

Fr.: racine double   

A → root x0 of function f(x), if f(x0) = 0, df/dx | x0 = 0, and d2f/dx2 | x0≠ 0. See also → simple root.

double; → root.

root
  ریشه   
rišé (#)

Fr.: racine   

1) Math.: A quantity that, when multiplied by itself a certain number of times, produces a given quantity. For example, since 3 × 3 × 3 × 3 = 81, 3 is a fourth root of 81.
2) Math.: A solution to an equation f(x) = 0. We say that x0 is a root or zero of a → polynomial if f(x0) = 0. For example, the roots of the equation x2 - 9 = 0 are +3 and -3.
3) In → graph theory, a special → vertex that turns a → tree into a → rooted tree or a graph into a → rooted graph.

From M.E., from O.E. rot, from O.N. rot "root;" cf. O.H.G. wurz "plant, herb;" Ger. Wurz; cognate with L. radix, radius "staff;" Gk. rhiza "root;" Albanian rrânzë "root;" PIE base *u(e)rad- "twig, root."

Rišé "root" (dialectal Tabari rexa; Kurd. regez, riše), from Mid.Pers. rêšak "root," maybe ultimately related to PIE *u(e)rad-, as above, although the Skt. offshoot is absent.

root mean square (rms)
  ریشه‌ی ِ چاروشی ِ میانگین، ~ ِ دوم ِ ~   
riše-ye câruši-ye miyângin, ~ dovom-e ~

Fr.: valeur quadratique moyenne   

The square root of the arithmetic mean of the squares of the numbers in a given set.

root; → mean; → square.

root-mean-square error
  ایرنگ ِ ریشه‌ی ِ چاروشی ِ میانگین، ~ ~ ِ دوم ِ ~   
irang-e riše-ye câruši-ye miyângin, ~ ~ dovom-e ~

Fr.:   

The square root of the second moment corresponding to the frequency function of a random variable.

root; → mean; → square; → error.

root-mean-square value
  ارزش ِ ریشه‌ی ِ چاروشی ِ میانگین   
arzeš-e riše-ye câruši-ye miyângin

Fr.: écart quadratique moyen, écart type   

Statistics: The square root of the arithmetic mean of the squares of the deviation of observed values from their arithmetic mean.

root; → mean; → square; → deviation.

rooted graph
  نگاره‌ی ِ ریشه‌دار   
negâre-ye rišedâr

Fr.: graphe raciné   

In → graph theory, a → graph that has one of its → vertices, called the → root, distinguished from the others.

root; → graph.

rooted tree
  درخت ِ ریشه‌دار   
deraxt-e rišedâr

Fr.: arbre raciné   

In → graph theory, a → tree in which one → vertex is distinguished from the other vertices and is called the root.

root; → tree.

simple root
  ریشه‌ی ِ ساده   
riše-ye sâdé

Fr.: racine simple   

A → rootx0 of function f(x), if f(x0) = 0 and df/dx | x0 = 0. See also → double root.

simple; → root.

square root
  ریشه‌ی ِ چاروش   
riše-ye câruš

Fr.: racine carée   

Quantity which when multiplied by itself produces another quantity.

square; → root.