For the analysis to correspond usefully to the actual execution time, the time required to perform a step must be guaranteed to be bounded above by a constant.

This form of data manipulation allows for rapid computer visualisation and analysis, with data presented as point cloud data with additional information, such as each ion's mass to charge ( as computed from the velocity equation above ), voltage or other auxiliary measured quantity or computation therefrom.

If the density of the chain is variable then the analysis above can be adapted to produce equations for the curve given the density, or given the curve to find the density.

Another recent theory ( see EPR paradox above ) resulting from the analysis of an EPR communication set up, has the simple device based on removing the effective retarded time terms in the Lorentz transform to yield a preferred absolute reference frame.

( 2006 ) conducted a molecular phylogenetic analysis of 12 of the above 17 species using DNA sequence from three genes: 12S rRNA, cytochrome b, and von Willebrand factor.

Similar to performance management ( see above ), an I – O psychologist would employ a job analysis in concert with principles of instructional design to create an effective training program.

Furthermore, as mentioned above, frequentist analysis is open to unscrupulous manipulation if the experimenter is allowed to choose the stopping point, whereas Bayesian methods are immune to such manipulation.

An analysis of supply and demand of the type shown in introductory mainstream economics textbooks implies that by mandating a price floor above the equilibrium wage, minimum wage laws should cause unemployment .< ref name = MB > McConnell, C. R.

Strunk and White have been proven wrong on this point by logical analysis of quantification in natural language ( like Pinker following Lewis and others above ) — distributive expressions are neither exclusively singular nor exclusively plural, they are typically indeterminate in number.

Because Adorno believed that sociology needs to be self-reflective and self-critical, he believed that the language the sociologist uses, like the language of the ordinary person, is a political construct in large measure that uses, often unreflectingly, concepts installed by dominant classes and social structures ( such as our notion of " deviance " which includes both genuinely deviant individual and " hustlers " operating below social norms because they lack the capital to operate above: for an analysis of this phenomenon, cf.

; Induction variable recognition and elimination: see discussion above about induction variable analysis.

In analysis, the supremum or least upper bound of a set S of real numbers is denoted by sup S and is defined to be the smallest real number that is greater than or equal to every number in S. An important property of the real numbers is completeness: every nonempty subset of the set of real numbers that is bounded above has a supremum that is also a real number.

Should the analysis presented above turn out to be correct, Trichoplax adhaerens would be the oldest branch of the multicellular animals and a relic of the Ediacara fauna, or even the pre-Ediacara fauna.

As noted above, this hypothesis was supported in a statistical analysis of the Trichoplax adhaerens whole genome sequence in comparison to the whole genome sequences of six other animals and two related non-animal species.

As the above section on topological spaces makes clear, analysis isn't just about continuity in the traditional sense of real numbers.

The above analysis is a good approximation as the angle approaches zero.

He says that the above analysis does not rule out " the possibility of some historical kernel behind the story.

A major point of the analysis is that many of the measurements of the observables do not correspond to properties of the particles ; they are ( as in the case of spin discussed above ) measurements of the wavefunction.

The phenomenological tie-in with the sociology of knowledge stems from two key historical sources for Mannheim's analysis: Mannheim was dependent on insights derived from Husserl's phenomenological investigations, especially the theory of meaning as found in Husserl's Logical Investigations of 1900 / 1901 ( Husserl: 2000 ), in the formulation of his central methodological work: " On The Interpretation of Weltanschauung " ( Mannheim: 1993: see fn41 & fn43 )-this essay forms the centerpiece for Mannheim's method of historical understanding and is central to his conception of the sociology of knowledge as a research program ; and The concept of " Weltanschauung " employed by Mannheim has its origins in the hermeneutic philosophy of Wilhelm Dilthey, who relied on Husserl's theory of meaning ( above ) for his methodological specification of the interpretive act ( Mannheim: 1993: see fn38 ).

The above analysis doesn ’ t take the effect of atmosphere on the propagation path of the RF signals into consideration.

Furthermore, as alluded to above, a particular type of surveying known as " land surveying " ( also per ACSM ) is the detailed study or inspection, as by gathering information through observations, measurements in the field, questionnaires, or research of legal instruments, and data analysis in the support of planning, designing, and establishing of property boundaries.

In energy dispersive analysis, dispersion and detection are a single operation, as already mentioned above.

Cost analysis reveals that a sophisticated above knee prosthesis will be in the neighborhood of $ 1 million in 45 years, given only annual cost of living adjustments.

The fact that mitochondrial DNA ( mtDNA ) is inherited maternally enables the matrilineal lines ( or lineages ) of individuals to be traced scientifically through genetic analysis, see main article, above.

Measurements of bird flocking have been made using high-speed cameras, and a computer analysis has been made to test the simple rules of flocking mentioned above.

mid-1st century BC ) assumes that the young bridegroom has a concubinus who considers himself elevated above the other slaves, but who will be set aside as his master turns his attention to marriage and family life.

The solution above assumes the real case.

All the above assumes that the interest rate remains constant throughout the whole period.

The exact value of the Rydberg constant above assumes that the nucleus is infinitely massive with respect to the electron.

As noted above, an influential model of perfect competition in neoclassical economics assumes that the number of buyers and sellers are both of the power of the continuum, that is, an infinity even larger than the number of natural numbers.

Molten sulfur assumes a dark red color above 200 ° C.

The calculation above assumes that the product could be produced at a constant level for that number of years and that all of the proved reserves could be recovered.

The axiom given above assumes that equality is a primitive symbol in predicate logic.

The reason we don't find these solutions in the above perturbation method is because these solutions diverge when while the ansatz assumes regular behavior in this limit.

It assumes that nation-states are unitary, geographically-based actors in an anarchic international system with no authority above capable of regulating interactions between states as no true authoritative world government exists.

Each of the following descriptions assumes that a CS has been conditioned and then extinguished through the procedures described above.

This possibility raises significant regulatory issues because the use of ratings in securities and banking regulation ( as noted above ) assumes that high ratings correspond with low volatility and high liquidity.

The above discussion assumes that the magnetic field is not varying in time.

The derivation above for the outward light pressure assumes a hydrogen plasma.

The above example assumes the tax is non-distortionary.

This version assumes that Hearst's wealth put him above the law.

It was probably in Paris that Neckam heard how a ship, among its other stores, must have a needle placed above a magnet ( the De utensilibus assumes a needle mounted on a pivot ), which would revolve until its point looked north, and guide sailors in murky weather or on starless nights.

The final approximation above assumes.

The alert reader will note that the integral above tacitly assumes that the impulse response is NOT a function of the position ( x ', y ') of the impulse of light in the input plane ( if this were not the case, this type of convolution would not be possible ).

The above assumes that one of the older definitions for perfect magic cubes is used.

Or you can directly ask for the class of any object, and " compare " them ( code below assumes having executed the code above ):

In several early texts Tolkien wrote that, before moving to Crissaegrim after the death of Fingolfin, the eagles of Thorondor nested upon the peaks of Thangorodrim above Morgoth's fortress of Angband ; Christopher Tolkien assumes that this idea was later abandoned.

As above, the theory assumes that men found women with blond hair more attractive.

However, run length limited coding terminology assumes NRZI encoding, so 1 bits indicate changes and 0 bits indicate the absence of change, the above sequence would be expressed as ' 11000101001000001 ', and only runs of zero bits are counted.

The formulation of the above two-stage problem assumes that the second-stage data can be modeled as a random vector with a known probability distribution ( not just uncertain ).