An Etymological Dictionary of Astronomy and AstrophysicsEnglish-French-Persian

فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

Homepage

Number of Results: 10 Search : root
 cube root   ریشه‌ی ِ کابی   riše-ye kâbiFr.: 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 dotâyiFr.: 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 miyânginFr.: 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 rišedârFr.: 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 rišedârFr.: 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 sâdéFr.: 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 cârušFr.: racine carée   Quantity which when multiplied by itself produces another quantity.→ square; → root.