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: 11 Search : analysis
analysis
  آنالس، آناکاوی   
ânâlas, ânâkâvi

Fr.: analyse   

1) General: The separation of an intellectual or material whole into its constituent parts for individual study. The study of such constituent parts and their interrelationships in making up a whole (opposite of → synthesis).
2) Chemistry: The separation of a substance into its constituent elements to determine either their nature (qualitative analysis) or their proportions (quantitative analysis).
3) Mathematics: A branch of mathematics principally involving → differential and integral calculus, → sequences, and → series and concerned with → limits and → convergence.

From M.L. analysis, from Gk. analysis "a breaking up," from analyein "unloose," from ana- "up, throughout" + lysis "a loosening," from lyein "to loosen, release, untie". The L. cognate and counterpart of this Gk. word, i.e. luere has formed the words solve, dissolve, solution. The Skt. cognate lu, lunoti "to cut, sever, mow, pluck, tear asunder, destroy," lava "cutting, plucking; what is cut; fragment, piece;" PIE *leu- "to loosen, divide, cut apart". The Eng. lose, loose and Ger. los derive from this root.

Ânâlas, from ânâ-, → ana-, + las "loose" ([Mo'in], Gilaki, Tabari, Tâleši, Aftari). We do not know the Av./O.Pers. counterparts of these Gk. las, lysis, lyein, but we believe that las and the following words probably derive from the above-mentioned PIE *leu-:
"slit, cut" (Tabari),
lâb, lâp, lib "slit, cut, piece, half" (Tabari),
lâpé "a cut piece of wood" [Mo'in],
lâpé kardan "to cut a timber along its length" [Mo'in],
lap "piece, big piece, big cut" [Mo'in]. This word was chosen by Farhangestân I for "lobe of the lung".
lâc "open, wide-open" (Tabari),
luš "torn" [Mo'in], also luš luš [Mo'in] "in pieces,"
lat "torn, piece" [Mo'in]. Compare with luta "cut, cut off" in Pali. Lat may also be a contraction of laxt.
lok "torn, piece" (Qâyeni),
lâš "slit" (Tabari),
lâš kardan "to pick, to pluck" [Mo'in],
latu "plough" (Tabari).
Ânâkâvidan, from ânâ- + kâvidan (kâftan) "to examine, investigate, search; dig," from kâv + infinitive suffix -idan; compare with Mod.Pres. kâvâk "hollow, empty," L. cavus "hollow" (E. derivatives: cavity, concave, cave, excavate), Gk. koilos "hollow."

data analysis
  آنالس ِ داده‌ها، آناکاوی ِ ~   
ânâlas-e dadehâ, ânâkâvi-ye ~

Fr.: analyse de données   

The evaluation of reduced data; → data reduction.

data; → analysis.

dimensional analysis
  آنالس ِ وامونی، آناکاوی ِ ~   
ânâlas-e vâmuni, ânâkâvi-ye ~

Fr.: analyse dimensionnelle   

A technique used in physics based on the fact that the various terms in a physical equation must have identical → dimensional formulae if the equation is to be true for all consistent systems of unit. Its main uses are:
a) To test the probable correctness of an equation between physical quantities.
b) To provide a safe method of changing the units in a physical quantity.
c) To solve partially a physical probable whose direct solution cannot be achieved by normal methods.

dimensional; → analysis.

Fourier analysis
  آنالس ِ فوریه   
ânâlas-e Fourier

Fr.: analyse de Fourier   

The process of decomposing any function of time or space into a sum of sinusoidal functions using the → Fourier series and → Fourier transforms. In other words, any data analysis procedure that describes or measures the fluctuations in a time series by comparing them with sinusoids. Fourier analysis is an essential component of much of modern applied and pure mathematics. It forms an exceptionally powerful analytical tool for solving various problems in many areas of mathematics, physics, engineering, biology, finance, etc. and has opened up new realms of knowledge.

After the French mathematician Baron Jean Baptiste Joseph Fourier (1768-1830), whose work had a tremendous impact on the physical applications of mathematics; → analysis.

numerical analysis
  آنالس ِ عددی   
ânâlas-e adadi

Fr.: analyse numérique   

The study of methods for approximation of solutions of various classes of mathematical problems including error analysis.

numerical; → analysis.

optical analysis
  آنالسِ نوری   
ânâlas-e nuri

Fr.: analyse optique   

The mathematical evaluation of an optical system to determine its basic optical properties and image quality characteristics.

optical; → analysis.

quantitative analysis
  آنالس ِ چندی‌مند   
ânâlas-e candi-mand

Fr.: analyse quantitative   

The analysis of a chemical sample to derive its precise percentage composition in terms of elements, radicals, or compounds.

quantitative; → analysis.

regression analysis
  آنالس ِ وایازش   
anâlas-e vâyâzeš

Fr.: analyse de régression   

A statistical technique used to determine the values of parameters for a function that best fits a given set of data.

regression, → analysis.

tensor analysis
  آ نالس ِ تانسوری، ~ ِ تانگری   
ânâlas-e tânsori

Fr.: analyse tensorielle   

A method of calculation in higher mathematics based on the properties of tensors.

tensor; → analysis.

vector analysis
  آنالس ِ برداری   
ânâlas-e bordâri

Fr.: analyse vectorielle   

The study of → vectors and → vector spaces.

vector; → analysis.

waveform analysis
  آنالس ِ موجدیس   
ânâlas-e mowjdis

Fr.: analyse de forme d'onde   

The resolution of a complex waveform into a sum of simple periodic waves, usually by computer means.

waveform; → analysis.