When I question them as to what they mean by concepts like liberty and democracy, I find that they fall into two categories: the simpler ones who have simply accepted the shibboleths of their faith without analysis ; ;

A similar analysis of Figure 6 for the 34 boys would necessitate quite a different conclusion about the predictive value of onset age in forecasting their attainment of the pubescent stage.

It goes from the basics, the analysis of simple terms in the Categories, the analysis of propositions and their elementary relations in On Interpretation, to the study of more complex forms, namely, syllogisms ( in the Analytics ) and dialectics ( in the Topics and Sophistical Refutations ).

Nevertheless, key aspects of feminist theorizing and methods became de rigueur as part of the ' post-modern moment ' in anthropology: Ethnographies became more reflexive, explicitly addressing the author's methodology, cultural, gender and racial positioning, and their influence on his or her ethnographic analysis.

In statistics, analysis of variance ( ANOVA ) is a collection of statistical models, and their associated procedures, in which the observed variance in a particular variable is partitioned into components attributable to different sources of variation.

Wittkowsky counters that Swift's satiric use of statistical analysis is an effort to enhance his satire that " springs from a spirit of bitter mockery, not from the delight in calculations for their own sake ".

From an analysis of relationships and diversities within the Asterales and with their superorders, estimates of the age of the beginning of the Asterales have been made, which range from 116 Mya to 82Mya.

Based on analysis of one sample of 51 modern Ainus, their mtDNA lineages have been reported to consist mainly of haplogroup Y ( 11 / 51

In theoretical analysis of algorithms it is common to estimate their complexity in the asymptotic sense, i. e., to estimate the complexity function for arbitrarily large input.

A critical analysis of the narrative seems to reveal little else than a series of aetiological traditions ( explanatory of cults and customs, e. g. of the kneeling posture of the images of Damia and Auxesia, of the use of native ware instead of Athenian in their worship, and of the change in women's dress at Athens from the Dorian to the Ionian style.

Despite several differences in definitions, their importance becomes apparent as different methods of analysis when applied to acid – base reactions for gaseous or liquid species, or when acid or base character may be somewhat less apparent.

From a sociological and demographic perspective, the Big Brother franchise allows the opportunity for analysis of how people react when forced into close confinement with people who lie outside their comfort zone, since they may hold different opinions or ideals from other contestants, or simply belong to a different group of people than a contestant normally interacts with.

Indeed, the format is ideally suited to such analysis because the viewer is afforded the opportunity to see how a person reacts on the outside through the constant recording of their actions and also what they feel on the inside through the Diary Room / Confession Room.

DNA analysis recently revealed that the identified subspecies of brown bears, both Eurasian and North American, are genetically quite homogeneous, and that their genetic phylogeography does not correspond to their traditional taxonomy.

Assuming stable populations, analysis reveals that these populations will haemorrhage 8 % of their genetic diversity every decade.

processes that describe and transform information: their theory, analysis, design, efficiency, implementation, and application.

Casinos do not have in-house expertise in this field, so outsource their requirements to experts in the gaming analysis field.

Structuralist or institutional analysis shows that the term is misused when it is applied to institutions acting in pursuit of their acknowledged goals, for example, when a group of corporations engage in price-fixing to increase profits.

* Analytical chemistry is the analysis of material samples to gain an understanding of their chemical composition and structure.

In addition to mathematical analysis of cryptographic algorithms, cryptanalysis also includes the study of side-channel attacks that do not target weaknesses in the cryptographic algorithms themselves, but instead exploit weaknesses in their implementation.

* The Certification of Competency in Business AnalysisTM ( CCBA ®) designation is a professional certification for business analysis practitioners who want to be recognized for their expertise and skills by earning formal recognition.

* Analytical chemistry – analysis of material samples to gain an understanding of their chemical composition and structure.

Whilst critical theorists usually are defined as Marxist intellectuals, their tendency to denounce Marxist concepts, and to synthesise Marxian analysis with other sociologic and philosophic traditions has been attacked as revisionism, by Classical, Orthodox, and Analytical Marxists, and by Marxist-Leninist philosophers.

In considering roleplaying for analysis we enter a more complex area, since we are now no longer dealing with a simple over-all decision but rather with the examination and evaluation of many elements seen in dynamic functioning.

The treatment seems unnecessarily loose-jointed and complex, largely because the method is lax and the analysis seems never to be pushed to a satisfactory or even a consistent stopping-point.

* Argument ( complex analysis ), a function which returns the polar angle of a complex number

* Argument principle, a theorem in complex analysis about meromorphic functions inside and on a closed contour

Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.

* Argument ( complex analysis )

It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory.

Alexander Grothendieck's work during the ` Golden Age ' period at IHÉS established several unifying themes in algebraic geometry, number theory, topology, category theory and complex analysis.

Macro-AP are phenomenon that do not require complex statistical analysis to remove weak effects from the collected data.

He is known for his analysis of complex proprietary protocols and algorithms, to allow compatible free and open source software implementations.

In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers which at the same time is also a Banach space.

Analytic combinatorics concerns the enumeration of combinatorial structures using tools from complex analysis and probability theory.

Retrosynthetic analysis can be applied to design a complex synthesis reaction.

If the weight of the cable and supporting wires are not negligible then the analysis is more complex.

* Harmonic conjugate in complex analysis

In mathematics, the Cauchy – Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which must be satisfied if we know that a complex function is complex differentiable.

The reason why Euler and some other authors relate the Cauchy – Riemann equations with analyticity is that a major theorem in complex analysis says that holomorphic functions are analytic and viceversa.

This means that, in complex analysis, a function that is complex-differentiable in a whole domain ( holomorphic ) is the same as an analytic function.

The equations are one way of looking at the condition on a function to be differentiable in the sense of complex analysis: in other words they encapsulate the notion of function of a complex variable by means of conventional differential calculus.