An Etymological Dictionary of Astronomy and Astrophysics

فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory



Number of Results: 11 Search : entity
additive identity
  ایدانی ِ بردایشی   
idâni-ye bardâyeši

Fr.: identité additive   

The number which can be added to any other number without changing the magnitude of that number: zero. → multiplicative identity.

additive; → identity.

hastâr (#)

Fr.: entité   

1) A real thing.
2) Being or existence, especially when considered as independent, separate, or self-contained.
3) Computer science: Something about which data is recorded. Entities have → attributes.

From L.L. entitatem, from L.L. ens (genitive entis) "being, thing," from esse "to be," cognate with Pers. hast, ast, as below.

Hastâr, from hast (noun), as in hast-o-nist, or contraction of hasti "existence," from hastan "to be" (variant astan, ast "is;" Mid.Pers. (h)ast "is," (h)astih "existence;" O.Pers. ah- "to be," astiy "is;" Av. ah- "to be" (ahmī, ahī, astī); cf. Skt. as- "to be," ásti "is;" Gk. esti "is;" L. est "is;" Russ. yest "is;" Goth. ist; E. is), + suffix -âr (as in padidâr). Alternatively, from hast (noun), as above, + -âr contraction of -dâr (as in dustâr) present stem of dâštan "to have, to possess" (Mid.Pers. dâštan, O.Pers./Av. root dar- "to hold, keep back, maintain, keep in mind," Skt. dhr-, dharma- "law," Gk. thronos "elevated seat, throne," L. firmus "firm, stable," Lith. daryti "to make," PIE *dher- "to hold, support").

  ایدانی، این‌همانی، کیستی، چیستی   
idâni, inhamâni (#), kisti (#), cisti (#)

Fr.: identité   

1) Math.: An equation that is valid for all values of its variables. A mathematical relationship equating one quantity to another.
2) Logic: An assertion that two terms refer to the same thing.
3) Psychology: The character of persisting unchanged. The feeling that one knows who one really is.

From M.Fr. identité, from L.L. identitas "sameness," from ident-, combining form of L. idem "the same; at the same time; also; moreover," from id "it, that one" + demonstrative suffix -dem + -itas a suffix used to form abstract nouns expressing state or condition.

Idâni, from iduni, from Mid.Pers. êdônih "being this, being that, being so, the manner of being," from êdôn "thus, so," Mod.Pers. idun "this, in this manner, now;" O.Pers. aita- demonstrative pronoun "this;" Av. aēta- "this; this here; this now," aētaδ- (adv.) "here, there; then, thus; thereupon;" cf. Skt. etad "this," iti "thus, in this manner;" akin to L. idem, as above.

identity axiom
  بنداشت ِ ایدانی   
bondâšt-e idâni

Fr.: axiome d'identité   

A basic rule in → group theory stating that there exists a unit group element e, called the identity, such that for any element a of the group a * e = e * a = a.

identity; → axiom.

identity element
  بن‌پار ِ ایدانی   
bonpâr-e idâni

Fr.: élément neutre   

In a mathematical system, an element which leaves unchanged any other element on which it operates. Thus 0 is the identity element for addition: a + 0 = a. And 1 is the identity element for multiplication: a . 1 = a.

identity; → element.

identity function
  کریای ِ ایدانی   
karyâ-ye idâni

Fr.: fonction d'identité   

Math.: Any function f for which f(x) = x for all x in the domain of definition.

identity; → function.

identity matrix
  ماتریس ِ ایدانی   
mâtris-e idâni

Fr.: matrice identité   

In linear algebra, the simplest nontrivial diagonal matrix, an n-by-n square matrix with ones on the main diagonal and zeros elsewhere.

identity; → matrix.

identity operator
  آپارگر ِ ایدانی   
âpârgar-e idâni

Fr.: opérateur d'identité   

An operator which takes a real number to the same real number.

identity; → operator.

law of identity
  قانون ِ ایدانی   
qânun-e idâni

Fr.: principe d'identité   

Same as → principle of identity.

law; → identity.

multiplicative identity
  ایدانی ِ بستایشی   
idâni-ye bastâyeši

Fr.: identité multiplicative   

The number which when used as the multiplier of another number leaves the second unchanged; one.

multiplicative; → identity.

principle of identity
  پروز ِ ایدانی   
parvaz-e idâni

Fr.: principe d'identité   

The first principle of → formal logic introduced in Aristotle's theory of the → syllogism: If a statement is true then it is true. Also called → law of identity.

principle; → identity.