Definition, Meaning & Synonyms | English word ANALYSIS

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Definitions of ANALYSIS

1. (countable) Decomposition into components in order to study (a complex thing, concept, theory etc.).
2. (countable) The result of such a process.
3. (uncountable, mathematics) A broad field of study in modern mathematics (often mentioned alongside algebra) which developed out of the calculus, concerned with the behavior of functions, sequences, series, limits, metric spaces, measures and more.
4. (countable, logic) Proof by deduction from known truths.
5. (countable, chemistry) The process of breaking down a substance into its constituent parts, or the result of this process.
6. (uncountable, music) The analytical study of melodies, harmonies, sequences, repetitions, variations, quotations, juxtapositions, and surprises.
7. (countable, psychology) Psychoanalysis.

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Examples of Using ANALYSIS in a Sentence

• Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences among means.
• Algorithms is a monthly peer-reviewed open-access scientific journal of mathematics, covering design, analysis, and experiments on algorithms.
• Analysis (: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it.
• He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex analysis, and the study of permutation groups in abstract algebra.
• In computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other resources needed to execute them.
• In practice, separation, identification or quantification may constitute the entire analysis or be combined with another method.
• It was "intended to afford a medium for the presentation and analysis of any and all questions of interest or importance in pure and applied Mathematics, embracing especially all new and interesting discoveries in theoretical and practical astronomy, mechanical philosophy, and engineering".
• In 2003, ArgoUML won the Software Development Magazines annual Readers' Choice Award in the “Design and Analysis Tools” category.
• By the time of his relatively early death at the age of 51, Erlang had created the field of telephone networks analysis.
• They were used in 18th-century chemical studies for burning materials in closed glass vessels where the products of combustion could be trapped for analysis.
• It encompasses the design of biological experiments, the collection and analysis of data from those experiments and the interpretation of the results.
• The Buddhist religion presents a multitude of Buddhist paths to liberation; with the expansion of early Buddhism from ancient India to Sri Lanka and subsequently to East Asia and Southeast Asia, Buddhist thinkers have covered topics as varied as cosmology, ethics, epistemology, logic, metaphysics, ontology, phenomenology, the philosophy of mind, the philosophy of time, and soteriology in their analysis of these paths.
• The typical analysis of cognitive science spans many levels of organization, from learning and decision-making to logic and planning; from neural circuitry to modular brain organization.
• Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.
• The chain rule does not appear in any of Leonhard Euler's analysis books, even though they were written over a hundred years after Leibniz's discovery.
• In chemical analysis, chromatography is a laboratory technique for the separation of a mixture into its components.
• In numerical analysis, the condition number of a function measures how much the output value of the function can change for a small change in the input argument.
• Customer relationship management (CRM) is a process in which a business or another organization administers its interactions with customers, typically using data analysis to study large amounts of information.
• In the field of complex analysis in mathematics, the Cauchy–Riemann equations, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which form a necessary and sufficient condition for a complex function of a complex variable to be complex differentiable.
• The comparative method may be contrasted with the method of internal reconstruction in which the internal development of a single language is inferred by the analysis of features within that language.
• In computing, a data warehouse (DW or DWH), also known as an enterprise data warehouse (EDW), is a system used for reporting and data analysis and is a core component of business intelligence.
• He contributed to the development of the rigorous analysis of the computational complexity of algorithms and systematized formal mathematical techniques for it.
• In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measurement (such as metres and grams) and tracking these dimensions as calculations or comparisons are performed.
• Dynamical energy analysis, a numerical method modelling structure borne sound and vibration in complex structures.
• In propositional logic, disjunction elimination (sometimes named proof by cases, case analysis, or or elimination) is the valid argument form and rule of inference that allows one to eliminate a disjunctive statement from a logical proof.

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