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 arithmetization of analysis - Definition 

Arithmetization of analysis (1703 bytes)
1: ...ierstrass]], who argued the geometric foundations of [[calculus]] were not solid enough for rigorous w...
3: The highlights of this research program are:
4: ...d]], resulting in the modern axiomatic definition of the real number field;
5: * the epsilon-delta definition of [[limit]]; and
6: ...naive set theory|naïve set-theoretic]] definition of [[function (mathematics)|function]].

B.C.G. analysis (2139 bytes)
1: ... The technique can also be applied to a portfolio of companies.
5: ...ch circle represents a product or brand. The size of the circle indicates its dollar sales volume.<br>...
9: B.C.G. Analysis was originally developed by Bruce Henderson at th...
11: ...[New Product Development]], [[G.E. Multi Factoral analysis]], [[marketing]], [[strategic management]]''

Analysis (2273 bytes)
6: An '''analysis''' is a critical evaluation, usually made by brea...
8: ... such, it can be applied in many different fields of study:
11: ** [[analysis (philosophy)]]
14: ** [[mathematical analysis]]
15: ***[[real analysis]] - real numbers

Local analysis (1783 bytes)
1: ...t least two meanings - both derived from the idea of looking at a problem relative to each [[prime num...
3: ...tarting with the Feit-Thompson result that groups of odd order are [[solvable group|solvable]].
5: ... (for example for [[elliptic curve]]s). The point of view that one would like to understand what extra...
7: ..., and the use of [[adele ring]]s, making this one of the unifying principles across number theory.

Root cause analysis (962 bytes)
1: ...words: death, damage, delay, disruption, dollars (of loss), disgrace, discredit, discharges (to the en...
3: ...e generally accepted principles of [[root cause]] analysis include:
5: ...luences that explain the nature and the magnitude of the consequences.
6: # Establish tightly linked chains of influence.
7: # At every level of analysis determine the necessary and sufficient influences...

P-adic analysis (992 bytes)
1: [[Category:Algebra]][[Category:Mathematical analysis]]
3: ...ting approximate numerical solutions to functions of real numbers in comparison to complex numbers. It...
5: P-adic analysis is used in [[probability theory]], [[number theor...
10: * [[mathematical analysis]]
12: ...ler's theorem]], which treats a ''p''-adic analog of Taylor series.

Analysis of flows (2813 bytes)
1: ... the description of the dynamics of a system, but oftentimes, it is simpler computationally to work wi...
8: ... of the variational principle, the action for all of the configurations on the orbit (at least on shel...
10: ...boundary points are at a separation of a multiple of the period from each other and the initial and fi...
12: ... can be given as [[derivation]]s over the algebra of smooth functionals over the configuration space. ...
14: ...or in other words, consider the equivalence class of functionals/flows which agrees on shell.

Break even analysis (2845 bytes)
1: ...y greater than this point, the firm is making a profit ; below this point, a loss. Break-even quantity...
3: ...that the fixed cost of operations (the basic cost of operating the business even if no product is prod...
5: ...prices into the formula, you will obtain a number of break even points, one for each possible price ch...
7: ...ge:breakeven_small.png|alt text]]<br>''Break Even Analysis with Multiple Prices''</div>
8: ...arious estimation techniques such as [[regression analysis]]. <BR><BR><BR>

Thermal analysis (291 bytes)
1: ...nch of [[materials science]] where the properties of materials are studied as they change with [[tempe...
6: *[[Dynamic mechanical analysis]]
7: *Thermomechanical analysis
8: *Thermogravimetric analysis

SWOT analysis (3322 bytes)
2: ...s originate from outside the organization. A SWOT analysis, usually performed early in the project developm...
6: ...or a [[task force]] that represents a broad range of perspectives should carry out SWOT analyses. For...
9: ===Examples of Possible Strengths and Weaknesses===
18: ===Examples of Possible Opportunities and Threats===
24: * Locating a New Source of Revenue

Conjoint analysis (429 bytes)
1: ...atical]] [[psychology]]. Today it is used in many of the [[social science]]s and [[applied science]]s ...
3: ''See also'': [[Conjoint analysis (in marketing)]]

Multifractal analysis (213 bytes)
1: ... process of determining the [[fractal dimension]] of a [[multifractal system]].

Regression analysis (5653 bytes)
1: ...s''' is any statistical method where the [[mean]] of one or more [[random variable]]s is [[prediction|...
2: ...ng]]. Regression analysis is the statistical view of '''curve fitting''': choosing a curve that best f...
4: ... In regression we are interested in the variation of ''Y'' on ''X''.
6: ...ht ''Y'' of certain animals on their daily ration of food ''X''.
8: ...on analysis| important publications in regression analysis]].

Dataflow analysis (2363 bytes)
1: ...mple way to perform '''dataflow analysis''' (DFA) of programs is to set up '''dataflow equations'''
2: for each [[node (computer science)|node]] of the [[control flow graph]] (CFG) and solve them b...
5: form a fixed-point data-flow analysis, i.e. the local updates by the equations are [[mo...
10: The fixpoint of the dataflow equations can be calculated using th...
21: The efficiency of iteratively solving data-flow equations is influe...

Signal analysis (709 bytes)
1: .... For example, identifying and isolating features of interest in an experimentally observed function.
3: ...inuous wavelet transform]]. Other forms of signal analysis include parametric fitting, such as finding the [...

Structural analysis (2627 bytes)
2: ...various standards for serviceability. In advanced analysis, vibrations (dynamic movements) may be analyzed a...
4: ...ibility]]. The solutions are approximate when any of these relations are only approximately satisfied.
6: ...sed for small structures and for schematic design of large structures.
8: ...nt divisions. Commercial frame analysis computer software typically uses matrix methods.

Cultural analysis (189 bytes)
1: '''Cultural analysis''' is a stream of investigation which seeks to understand and map t...

Aura analysis (1140 bytes)
1: ...st claims to sense. Believers say that the colors of the aura can reveal a person's nature, though not...
3: ...se physical or psychological disorders, and might offer advice on how to balance it.
5: ...ar removed from one another. Auras are an example of [[pseudoscience]].

Policy analysis (762 bytes)
1: '''Policy analysis''' is basically an approach to evaluate policies ...
5: ...o determine whether something "works", but policy analysis looks at policy rather than programs.

Semantic analysis (1316 bytes)
1: ...g information ([[type checking]]) and the binding of variables and function names to their definitions...
7: ...nated. See [[translation]], [[structured semantic analysis]].

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