the separating of any material or abstract entity into its constituent elements (opposed to synthesis).
2.
this process as a method of studying the nature of something or of determining its essential features and their relations: the grammatical analysis of a sentence.
3.
a presentation, usually in writing, of the results of this process: The paper published an analysis of the political situation.
4.
a philosophical method of exhibiting complex concepts or propositions as compounds or functions of more basic ones.
5.
Mathematics.
a.
an investigation based on the properties of numbers.
b.
the discussion of a problem by algebra, as opposed to geometry.
c.
the branch of mathematics consisting of calculus and its higher developments.
d.
a system of calculation, as combinatorial analysis or vector analysis.
e.
a method of proving a proposition by assuming the result and working backward to something that is known to be true. Compare synthesis(def. 4).
6.
Chemistry.
a.
intentionally produced decomposition or separation of materials into their ingredients or elements, as to find their kind or quantity.
b.
the ascertainment of the kind or amount of one or more of the constituents of materials, whether obtained in separate form or not. Compare qualitative analysis, quantitative analysis.
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.
A spoken or written presentation of such study: published an analysis of poetic meter.
The separation of a substance into its constituent elements to determine either their nature (qualitative analysis) or their proportions (quantitative analysis).
The stated findings of such a separation or determination.
A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.
The method of proof in which a known truth is sought as a consequence of a series of deductions from that which is the thing to be proved.
Chemistry
The separation of a substance into its constituent elements to determine either their nature (qualitative analysis) or their proportions (quantitative analysis).
The stated findings of such a separation or determination.
A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.
The method of proof in which a known truth is sought as a consequence of a series of deductions from that which is the thing to be proved.
Mathematics
A branch of mathematics principally involving differential and integral calculus, sequences, and series and concerned with limits and convergence.
The method of proof in which a known truth is sought as a consequence of a series of deductions from that which is the thing to be proved.
Linguistics The use of function words such as prepositions, pronouns, or auxiliary verbs instead of inflectional endings to express a grammatical relationship; for example, the cover of the dictionary instead of the dictionary's cover.
Psychoanalysis.
Systems analysis.
[Medieval Latin, from Greek analusis, a dissolving, from analūein, to undo : ana-, throughout; see ana- + lūein, to loosen; see leu- in Indo-European roots.]
1581, "resolution of anything complex into simple elements" (opposite of synthesis), from M.L. analysis, from Gk. analysis "a breaking up," from analyein "unloose," from ana- "up, throughout" + lysis "a loosening" (see lose). Psychological sense is from 1890. Phrase in the final (or last) analysis (1844), translates Fr. en dernière analyse.
an investigation of the component parts of a whole and their relations in making up the whole
2.
the abstract separation of a whole into its constituent parts in order to study the parts and their relations [ant: synthesis]
3.
a form of literary criticism in which the structure of a piece of writing is analyzed
4.
the use of closed-class words instead of inflections: e.g., 'the father of the bride' instead of 'the bride's father'
5.
a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
6.
a set of techniques for exploring underlying motives and a method of treating various mental disorders; based on the theories of Sigmund Freud; "his physician recommended psychoanalysis" [syn: psychoanalysis]
(a) detailed examination of something (a sentence, a chemical compound etc) especially by breaking it up into the parts of which it is made up Example: The chemist is making an analysis of the poison; close analysis of the situation
Arabic:
تَحْلِيل
Chinese (Simplified):
分析
Chinese (Traditional):
分析
Czech:
rozbor
Danish:
analyse
Dutch:
analyse
Estonian:
analüüs
Finnish:
analyysi
French:
analyse
German:
die Analyse
Greek:
ανάλυση
Hungarian:
elemzés
Icelandic:
greining
Indonesian:
analisis
Italian:
analisi
Japanese:
分析
Latvian:
analīze
Lithuanian:
analizė
Norwegian:
analyse
Polish:
analiza
Portuguese (Brazil):
análise
Portuguese (Portugal):
análise
Romanian:
analiză
Russian:
анализ
Slovak:
rozbor, analýza
Slovenian:
analiza
Spanish:
análisis
Turkish:
çözümleme, tahlil
analysis2[əˈnӕləsis]noun
(especially American) psycho-analysis Example: He is undergoing analysis for his emotional problems.
The separation of a substance into its constituent elements, usually by chemical means, for the study and identification of each component. ◇ Qualitative analysis determines what substances are present in a compound. ◇ Quantitative analysis determines how much of each substance is present in a compound.
A branch of mathematics concerned with limits and convergence and principally involving differential calculus, integral calculus, sequences, and series.
Main Entry: anal·y·sis Pronunciation: &-'nal-&-s&s Function: noun Inflected Form: pluralanal·y·ses/-"sEz/ 1: separation of a whole into its component parts 2 a: the identification or separation of ingredients of a substance b:
a statement of the constituents of a mixture 3:PSYCHOANALYSIS
A*nal"y*sis\, n.; pl. Analyses. [Gr. ?, fr. ? to unloose, to dissolve, to resolve into its elements; ? up + ? to loose. See Loose.]1. A resolution of anything, whether an object of the senses or of the intellect, into its constituent or original elements; an examination of the component parts of a subject, each separately, as the words which compose a sentence, the tones of a tune, or the simple propositions which enter into an argument. It is opposed to synthesis. 2. (Chem.) The separation of a compound substance, by chemical processes, into its constituents, with a view to ascertain either (a) what elements it contains, or (b) how much of each element is present. The former is called qualitative, and the latter quantitative analysis. 3. (Logic) The tracing of things to their source, and the resolving of knowledge into its original principles. 4. (Math.) The resolving of problems by reducing the conditions that are in them to equations. 5. (a) A syllabus, or table of the principal heads of a discourse, disposed in their natural order. (b) A brief, methodical illustration of the principles of a science. In this sense it is nearly synonymous with synopsis. 6. (Nat. Hist.) The process of ascertaining the name of a species, or its place in a system of classification, by means of an analytical table or key. Ultimate, Proximate, Qualitative, Quantitative, and Volumetric analysis. (Chem.) See under Ultimate, Proximate, Qualitative, etc.
An"a*lyst\, n. [F. analyste. See Analysis.] One who analyzes; formerly, one skilled in algebraical geometry; now commonly, one skilled in chemical analysis.
An`a*lyt"ic\, Analytical \An`a*lyt"ic*al\, a. [Gr. ?: cf. F. analytique. See Analysis.] Of or pertaining to analysis; resolving into elements or constituent parts; as, an analytical experiment; analytic reasoning; -- opposed to synthetic. Analytical or co["o]rdinate geometry. See under Geometry. Analytic language, a noninflectional language or one not characterized by grammatical endings. Analytical table (Nat. Hist.), a table in which the characteristics of the species or other groups are arranged so as to facilitate the determination of their names.
An"a*lyze\, v. t. [imp. & p. p. Analyzed; p. pr. & vb. n. Analyzing.] [Cf. F. analyser. See Analysis.] To subject to analysis; to resolve (anything complex) into its elements; to separate into the constituent parts, for the purpose of an examination of each separately; to examine in such a manner as to ascertain the elements or nature of the thing examined; as, to analyze a fossil substance; to analyze a sentence or a word; to analyze an action to ascertain its morality. No one, I presume, can analyze the sensations of pleasure or pain. --Darwin.
Lose\, v. t. [imp. & p. p. Losing.] [OE. losien to loose, be lost, lose, AS. losian to become loose; akin to OE. leosen to lose, p. p. loren, lorn, AS. le['o]san, p. p. loren (in comp.), D. verliezen, G. verlieren, Dan. forlise, Sw. f["o]rlisa, f["o]rlora, Goth. fraliusan, also to E. loose, a & v., L. luere to loose, Gr. ?, Skr. l? to cut. [root]127. Cf. Analysis, Palsy, Solve, Forlorn, Leasing, Loose, Loss.]1. To part with unintentionally or unwillingly, as by accident, misfortune, negligence, penalty, forfeit, etc.; to be deprived of; as, to lose money from one's purse or pocket, or in business or gaming; to lose an arm or a leg by amputation; to lose men in battle. Fair Venus wept the sad disaster Of having lost her favorite dove. --Prior. 2. To cease to have; to possess no longer; to suffer diminution of; as, to lose one's relish for anything; to lose one's health. If the salt hath lost his savor, wherewith shall it be salted ? --Matt. v. 13. 3. Not to employ; to employ ineffectually; to throw away; to waste; to squander; as, to lose a day; to lose the benefits of instruction. The unhappy have but hours, and these they lose. --Dryden. 4. To wander from; to miss, so as not to be able to and; to go astray from; as, to lose one's way. He hath lost his fellows. --Shak 5. To ruin; to destroy; as destroy; as, the ship was lost on the ledge. The woman that deliberates is lost. --Addison. 6. To be deprived of the view of; to cease to see or know the whereabouts of; as, he lost his companion in the crowd. Like following life thro' creatures you dissect, You lose it in the moment you detect. --Pope. 7. To fail to obtain or enjoy; to fail to gain or win; hence, to fail to catch with the mind or senses; to miss; as, I lost a part of what he said. He shall in no wise lose his reward. --Matt. x. 42. I fought the battle bravely which I lost, And lost it but to Macedonians. --Dryden. 8. To cause to part with; to deprive of. [R.] How should you go about to lose him a wife he loves with so much passion ? --Sir W. Temple. 9. To prevent from gaining or obtaining. O false heart ! thou hadst almost betrayed me to eternal flames, and lost me this glory. --Baxter. To lose ground, to fall behind; to suffer gradual loss or disadvantage. To lose heart, to lose courage; to become timid. "The mutineers lost heart." --Macaulay. To lose one's head, to be thrown off one's balance; to lose the use of one's good sense or judgment. In the excitement of such a discovery, many scholars lost their heads. --Whitney. To lose one's self. (a) To forget or mistake the bearing of surrounding objects; as, to lose one's self in a great city. (b) To have the perceptive and rational power temporarily suspended; as, we lose ourselves in sleep. To lose sight of. (a) To cease to see; as, to lose sight of the land. (b) To overlook; to forget; to fail to perceive; as, he lost sight of the issue.
Math`e*mat"ics\, n. [F. math['e]matiques, pl., L. mathematica, sing., Gr. ? (sc. ?) science. See Mathematic, and -ics.] That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations. Note: Mathematics embraces three departments, namely: 1. Arithmetic. 2. Geometry, including Trigonometry and Conic Sections. 3. Analysis, in which letters are used, including Algebra, Analytical Geometry, and Calculus. Each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations.
Syn"the*sis\, n.; pl. Syntheses. [L., a mixture, properly, a putting together, Gr. ?, fr. ? to place or put together; sy`n with + ? to place. See Thesis.]1. Composition, or the putting of two or more things together, as in compounding medicines. 2. (Chem.) The art or process of making a compound by putting the ingredients together, as contrasted with analysis; thus, water is made by synthesis from hydrogen and oxygen; hence, specifically, the building up of complex compounds by special reactions, whereby their component radicals are so grouped that the resulting substances are identical in every respect with the natural articles when such occur; thus, artificial alcohol, urea, indigo blue, alizarin, etc., are made by synthesis. 3. (Logic) The combination of separate elements of thought into a whole, as of simple into complex conceptions, species into genera, individual propositions into systems; -- the opposite of analysis. Analysis and synthesis, though commonly treated as two different methods, are, if properly understood, only the two necessary parts of the same method. Each is the relative and correlative of the other. --Sir W. Hamilton.
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