The most common approach to turn this intuitive idea into a precise definition uses limits, but there are other methods, such as non-standard analysis.

Alfred Marshall provides a still widely-cited definition in his textbook Principles of Economics ( 1890 ) that extends analysis beyond wealth and from the societal to the microeconomic level:

Some subsequent comments criticized the definition as overly broad in failing to limit its subject matter to analysis of markets.

Early EVM research showed that the areas of planning and control are significantly impacted by its use ; and similarly, using the methodology improves both scope definition as well as the analysis of overall project performance.

A quantitative definition of 4GL has been set by Capers Jones, as part of his work on function point analysis.

Since the actual physical surface of the Earth is too complex for mathematical analysis two levels of abstraction are employed in the definition of these coordinates.

" One may introduce arguments for and against this proposition, based upon such things as standards of statistical analysis, the definition of " overweight ," etc.

But a critical logical analysis shows that this definition is too naive to be proper, and so it must be qualified as follows:

Another approach is to enunciate a theory, or to offer a definition or analysis, which constitutes an attempt to solve a philosophical problem.

The second factor in such an analysis ( such as Eysenck's T-factor ) is the second best explanation for the spread of the data, which is, by definition, drawn at right angles to the first factor.

Although it still lacks a universally accepted definition, the crux of intelligence-led policing is an emphasis on the collection and analysis of information to guide police operations, rather than the reverse.

In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval.

By definition, real analysis focuses on the real numbers, often including positive and negative infinity to form the extended real line.

As part of such analysis, OECD developed a definition and system of classification of internal taxes, generally followed below.

CAD is mainly used for detailed engineering of 3D models and / or 2D drawings of physical components, but it is also used throughout the engineering process from conceptual design and layout of products, through strength and dynamic analysis of assemblies to definition of manufacturing methods of components.

The essential elements of CoSGOP are analysis of stakeholders ( identifying stakeholders ’ perceptions of problems, interests, and expectations ); analysis of problems and potentials ( including objective problems and problems and potentials perceived by stakeholders ); development of goals, improvement priorities, and alternatives ( requiring intensive communication and active stakeholder participation ); specification of an improvement program and its main activities ( based on priorities defined with the stakeholders ); assessment of possible impacts of the improvement program ; definition and detailed specification of key projects and their implementation ; continuous monitoring of improvement activities, feedback, and adjustment of the programme ( including technical and economic information and perceptions of stakeholders ).

However, theories of analysis can be applied to any space of mathematical objects that has a definition of nearness ( a topological space ) or, more specifically, distance ( a metric space ).

Real analysis began to emerge as an independent subject when Bernard Bolzano introduced the modern definition of continuity in 1816, but Bolzano's work did not become widely known until the 1870s.

The contributions of these mathematicians and others, such as Weierstrass, developed the ( ε, δ )- definition of limit approach, thus founding the modern field of mathematical analysis.

The last third of the 19th century saw the arithmetization of analysis by Weierstrass, who thought that geometric reasoning was inherently misleading, and introduced the " epsilon-delta " definition of limit.

Thus, the definition or analysis of " bachelor " is thought to be an unmarried male.

One immediate application is the definition of the basic concepts of analysis such as derivative and integral in a direct fashion, without passing via logical complications of multiple quantifiers.

Without careful analysis of the definition, one might erroneously conclude that an instance of http :// www. w3. org / TR / 2004 / REC-owl-guide-20040210 / wine # Merlot was something physical, instead of a type of wine.

However, the definition of " Hilbert space " can be broadened to accommodate these states ( see the Gelfand – Naimark – Segal construction or rigged Hilbert spaces ).

Sensing danger to Boyd's broad definition of individual rights, Justice McKenna dissented in Wilson, declaring that Hughes's distinction between personal and corporate papers was " a limitation by construction " on an important " constitutional security for personal liberty.

While it is one of the most commonly used concepts in logic it must not be mistaken for a logical law ; rather, it is one of the accepted mechanisms for the construction of deductive proofs that includes the " rule of definition " and the " rule of substitution " Modus ponens allows one to eliminate a conditional statement from a logical proof or argument ( the antecedents ) and thereby not carry these antecedents forward in an ever-lengthening string of symbols ; for this reason modus ponens is sometimes called the rule of detachment.

*" In assessing statutory language, unless words have acquired a peculiar meaning, by virtue of statutory definition or judicial construction, they are to be construed in accordance with their common usage.

By the construction of ~, this definition is independent of the chosen representatives and the corresponding relation is indeed well-defined.

One definition, the " cut and project " construction, is based on the work of Harald Bohr.

The structural definition of the word skyscraper was refined later by architectural historians, based on engineering developments of the 1880s that had enabled construction of tall multi-storey buildings.

In traditional statements, the law provides an empirical definition of temperature and justification for the construction of practical thermometers.

* Universal constructions are functorial in nature: if one can carry out the construction for every object in a category C then one obtains a functor on C. Furthermore, this functor is a right or left adjoint to the functor U used in the definition of the universal property.

James Clerk Maxwell | Maxwell's sketch of the lines of constant temperature and pressure, made in preparation for his construction of a Maxwell's thermodynamic surface | solid model based on Gibbs's definition of a thermodynamic surface for water

The definition and construction of the surreals is due to John Horton Conway.

Its most familiar modern uses are in the fields of transport, building and construction, communications, mapping, and the definition of legal boundaries for land ownership.

This facility, however, was designed to handle only standard definition broadcasts, not the modern HDTV, so it was obsolete before construction began.

A second, more narrow definition, was survivability guaranteed by armor and construction ; what for a bomber could be a very risky mission, nearly suicide, remained an acceptable threat for a sturdy, armored attack aircraft.

* Mill, Level 1 — Includes Mill Entry, plus surface creation, many additional toolpaths ( for all construction and tool planes ), highfeed machining, toolpath editor, toolpath transforms, stock definition.

* Router — Includes Router Entry, plus surface creation, rectangular geometry nesting, additional toolpaths ( for all construction and tool planes ), highfeed machining, toolpath editor, full toolpath transformations, stock definition.

IntuiSense's patented technology includes a high definition monitor ( 55 "- 32 "), a custom built CPU, MDB monitor, and the IS Gesture Recognition system all in a vandal proof construction.

The definition of the term diner began to blur as older, pre-fab diners received more conventional stick-built additions, sometimes leaving the original structure nearly unrecognizable as it was surrounded by new construction or a renovated facade.

This broader definition of webmaster covers not only technical aspects of overseeing website construction and maintenance, but also managing website content, advertising, marketing, and order fulfillment.

The CWA definition of point source was amended in 1987 to include municipal storm sewer systems, as well as industrial stormwater, such as from construction sites.

One can also define the topological index using only K theory ( and this alternative definition is compatible in a certain sense with the Chern-character construction above ).

In 1924 the Institution of Chemical Engineers adopted the following definition ' A chemical engineer is a professional man experienced in the design, construction and operation of plant and works in which matter undergoes a change of state and composition.

Rather than select a single definition, Gledhill proposes that collocation involves at least three different perspectives: ( i ) cooccurrence, a statistical view, which sees collocation as the recurrent appearance in a text of a node and its collocates, ( ii ) construction, which sees collocation either as a correlation between a lexeme and a lexical-grammatical pattern, or as a relation between a base and its collocative partners and ( iii ) expression, a pragmatic view of collocation as a conventional unit of expression, regardless of form.

With the advent of modernism and advanced construction techniques in the 20th century this latter definition transforms modularity from a compositional attribute to a thematic concern in its own right.