An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 12 Search : value
absolute value
  ارزش ِ اوست   
arzeš-e avast

Fr.: valeur absolue   

For any → real number a, the non-negative value of a without regard to its sign; denoted by |a|. Same as → modulus. The absolute value of a is always either → positive or → zero, but never negative. The absolute value of a number may be thought of as its → distance from zero. The following rules hold:
|ab| = |a||b|
|a + b|  ≤  |a| + |b|
|a - b|  ≥  |a| - |b|
For a> 0, |x|  ≤  a if and only if -a  ≤  x  ≤  a.

absolute; → value.

discrete value
  ارزش ِ گسسته   
arzeš-e gosasté

Fr.: valeur discrète   

A quantity that has certain magnitudes and does not represent a → continuous variable.

discrete; → value.

eigenvalue
  ویژ ارزه   
viž-arzé

Fr.: valeur propre   

1) Math.: The one of the → scalars λ such that T(v) = λv, where T is a linear → operator on a → vector space, and v is an → eigenvector.
2) Quantum mechanics: The specified values of → quantized energy for which the → Schrodinger equation is soluble, subject to the appropriate → boundary conditions.

eigenfunction; → value.

expected value
  ارزش ِ بیوسیده   
arzeš- bayusidé

Fr.: valeur espérée   

Statistics: Same as → mathematical expectation, → expectation.

expectation; → value.

half-value layer (HVL)
  لایه‌ی ِ نیم-تنکش   
lâye-ye nim-tonokeš

Fr.: couche de demi-atténuation   

The thickness of material required to reduce the intensity of an → X-ray beam to one half of its initial value. The HVL is an indirect measure of the photon energies of a beam.

half; → value; → layer; → attenuation.

mean value theorem
  فربین ِ ارزش ِ میانگین   
farbin-e arzeš-e miyângin

Fr.: théorème des accroissements finis   

1) If f(x) is a continuous function on the interval from a to b, then:
f(x) dx = f(c)(b - a) (summed from a to b) for at least one point in that interval.
2) More generally, If f(x) and g(x) are continuous functions on the interval from a to b and g(x)≥ 0, then:
f(x)g(x) dx = f(c) ∫ g(x) dx (both integrals summed from a to b).

mean; → value; → theorem.

nominal value
  ارزش ِ نامنال   
arzeš-e nâmenâl

Fr.: valeur nominale   

The assigned, specified, or intended value of a quantity.

nominal; → value.

place-value notation
  نمادگان ِ جا-ارزشی   
nemâdgân-e jâ-arezeši

Fr.: notation positionnelle   

A mathematical notation system in which the → numerals get different values depending on their position relative to the other numerals. Same as → positional notation and → positional number system.

place; → value; → notation.

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.

standard values
  ارزش‌های ِ استانده   
arzešhâ-ye estândé

Fr.: valeurs standard   

Photometric values of selected stars in a standard system.

standard; → value.

truth value
  ارزش ِ راستینی   
arzeš-e râstini

Fr.: valeur de vérité   

The quality of a logical → proposition (or a formal → symbol) which describes the relation of a proposition to → truth. The traditional → formal logic admits only two contradictory values, → true or → false. In → symbolic logic, more specifically in → polyvalent logics, other truth values are used (such as possible, impossible, undetermined, probable, random, etc.).

truth; → value.

value
  ارزش   
arzeš (#)

Fr.: valeur   

Math.: Magnitude; quantity; a numerical quantity assigned to a mathematical symbol.

M.E., from O.Fr. value "worth, value," noun use of feminine p.p. of valoir "be worth," from L. valere "be strong, be well, be of value."

Arzeš, verbal noun of arzidan "to be worth," arzân "worthy; of small value, cheap," arj "esteem, honour, price, worth;" Mid.Pers. arz "value, worth," arzidan "be worth," arzân "valuable;" Av. arəjaiti "is worth," arəja- "valuable," arəg- "to be worth;" cf. Skt. arh- "to be worth, to earn," árhant- "worthy person;" Gk. alphanein "to bring in as profit," alphein "to ear, obtain;" Lith. algà "salary, pay;" PIE base *algwh- "to earn; price, value."