Detailed analysis shows that the complexity class is unchanged by allowing error as high as 1 / 2 − n < sup >− c </ sup > on the one hand, or requiring error as small as 2 < sup >− n < sup > c </ sup ></ sup > on the other hand, where c is any positive constant, and n is the length of input.

Independently from Henson in 1973 the group of scientists from USSR directed by Prof. Bochvar made the quantum-chemical analysis of stability of C < sub > 60 </ sub > and calculated electronic structure of the molecule.

While most of the energy of the signal is contained within f < sub > c </ sub > ± f < sub > Δ </ sub >, it can be shown by Fourier analysis that a wider range of frequencies is required to precisely represent an FM signal.

* Harmonic analysis on Euclidean spaces deals with properties of the Fourier transform on R < sup > n </ sup > that have no analog on general groups.

* C < sub > 0 </ sub > t analysis, also known as DNA recombination kinetics

Given that estimation is undertaken on the basis of a least squares analysis, estimates of the unknown parameters β < sub > j </ sub > are determined by minimising a sum of squares function

Errett Bishop, in his 1967 work < cite > Foundations of Constructive Analysis </ cite >, worked to dispel these fears by developing a great deal of traditional analysis in a constructive framework.

In addition, isotopic analysis of exposed terrestrial rocks has demonstrated the cosmogenic ( cosmic ray ) production of < sup > 21 </ sup > Ne.

* For UT: analysis of historical observations show that ΔT has a long-term increase of + 31 s / cy < sup > 2 </ sup >.

Mulder carried out elemental analysis of common proteins and found that nearly all proteins had the same empirical formula, C < sub > 400 </ sub > H < sub > 620 </ sub > N < sub > 100 </ sub > O < sub > 120 </ sub > P < sub > 1 </ sub > S < sub > 1 </ sub >.

HPLC analysis of " elemental sulfur " reveals an equilibrium mixture of mainly S < sub > 8 </ sub >, but with S < sub > 7 </ sub > and small amounts of S < sub > 6 </ sub >.< ref > Larger rings have been prepared, including S < sub > 12 </ sub > and S < sub > 18 </ sub >.

In linear regression analysis you can compare the amount of variance explained by the independent variables, R < sup > 2 </ sup >, across the different models.

58, No. 3, pp. 299-313, < www. tandfonline. com / doi / abs / 10. 1080 / 10510970701518397 ></ ref > as an analysis on war and ethics, as a narrative on mass communication and US militarism, and other issues.

The turnover in this group is clearly marked at the species level .< ref > Statistical analysis of marine losses at this time suggests that the decrease in diversity was caused more by a sharp increase in extinctions than by a decrease in speciation .< ref > The K – T boundary record of dinoflagellates is not as well-understood, mainly because only microbial cysts provide a fossil record, and not all dinoflagellate species have cyst-forming stages, thereby likely causing diversity to be underestimated.

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.

Statistical analysis of marine losses at this time suggests that the decrease in diversity was caused more by a decrease in speciation than by an increase in extinctions .< ref >

A common alternative notation is and for positive semidefinite and positive definite matrices, respectively .</ ref > The notion comes from functional analysis where positive-semidefinite matrices define positive operators.

Each of these mutations alters the gene's protein product ( i. e., the enzyme ), sometimes severely inhibiting its function .< ref > In recent years, population studies and pedigree analysis have shown how such mutations arise and spread within small founder populations.

The authors concluded through a qualitative analysis that SMBG on quality of life showed no effect on patient satisfaction or the patients ’ health-related quality of life .< ref > Malanda, U. L., Welschen, L. M., Riphagen, I. I., Dekker, J. M., Nijpels, G., & Bot, S. D. ( 2012 ).

Lightning-induced magnetic anomalies can be mapped in the ground ,< ref > and analysis of magnetized materials can confirm lightning was the source of the magnetization and provide an estimate of the peak current of the lightning discharge.

Initial analysis revealed that no atoms of element 120 were produced providing a limit of 400 fb for the cross section at the energy studied .< ref >

Teleological analysis of business ethics leads to consideration of the full range of stakeholders in any business decision, including the management, the staff, the customers, the shareholders, the country, humanity and the environment .< ref >

When using Simpson's Diversity Index on 10 aggregated ethnic groups, the 2001 census identified Newham as the most ethnically diverse district in England and Wales, with 9 wards in the top 15 .< ref >< cite > Simpson's diversity indices by ward 1991 and 2001-GLA Data Management and Analysis Group ( page 11, Table 3 ) Greater London Authority, January 2006 ), accessed 13 December 2006 </ ref > However, when using the 16 ethnic categories in the Census so that White Irish and White Other ethnic minorities are also included in the analysis, Newham becomes the 2nd most ethnically diverse borough < ref >< cite > Focus on Newham 2006-local people and local conditions-London Borough of Newham, Corporate Research Unit ( chapter 2, page 24 ) ( 2006 ) date accessed 31 March 2007 </ ref > with 6 out of the top 15 wards, behind Brent with 7 out of the top 15 wards.

He published a mathematical analysis of the game of chess from an intuitionistic point of view, in which he showed, using the Thue – Morse sequence, that the then-official rules did not exclude the possibility of infinite games .< ref >

A later analysis of the detection method used in the Marques ' experiment suggested that at least part of the original analysis was flawed, and attempts to reproduce these observations with different methods have not successfully detected any neutron clusters .< ref name =" aleksandrov05 ">

Greil Marcus, in a critical analysis of the song's history, has written that Price's was an enthusiastic hard rock version with a screaming saxophone. In all of these early recordings of Lloyd Price, Merritt Mel Dalton was the lead Sax Man on the recordings of " Personality, Stagger Lee, I'm gonna get married etc ..," Merritt, was in the traveling band as well and appeared on the Ed Sullivan show with Lloyd Price .< ref >

Recent DNA analysis sponsored by the Secretary General of the Egyptian Supreme Council of Antiquities Zahi Hawass published in February 2010, identified The Elder Lady in a side chamber of Amenhotep II's tomb ( KV35 ) as Queen Tiye .< ref name =" autogenerated640 "> Hawass, Zahi et al.

According to the analysis made by the AUGER collaboration, the existence of the GZK cutoff may have been confirmed, but important uncertainties remain in the interpretation of the experimental results and further work is required .< ref >

In 2009 genetic analysis determined specifically that he suffered from hemophilia B .< ref >

Causes can either be genetic ( 9p22-24, 11q23, 22q11, FGFR1 mutation ), metabolic ( TSH suppletion in hypothyroidism ) or pharmaceutical < ref name = LajeunieE1998 > Lajeunie E, Le_Merrer M, Marchac D, Renier D. Syndromal and nonsyndromal primary trigonocephaly: analysis of a series of 237 patients.

The difference came down to this: The Southern States insisted that the United States was, in last analysis, what its name implied -- a Union of States.

ECHELON is a name used in global media and in popular culture to describe a signals intelligence ( SIGINT ) collection and analysis network operated on behalf of the five signatory states to the UK – USA Security Agreement ( Australia, Canada, New Zealand, the United Kingdom, and the United States, referred to by a number of abbreviations, including AUSCANNZUKUS and Five Eyes ).

Given the name infinitesimal calculus, it allowed for precise analysis of functions within continuous domains.

" A complete system of outcomes for a subject area normally includes everything from mere recitation of fact (" Students will name three tragedies written by Shakespeare ") to complex analysis and interpretation (" Student will analyze the social context of a Shakespearean tragedy in an essay ").

He was awarded the Bôcher Memorial Prize in mathematical analysis in 1964 for his paper " On a conjecture by Littlewood and idempotent measures ", and lends his name to the Cohen-Hewitt factorization theorem.

From these few references, which are the only surviving evidence apart from place name analysis, it would seem that the Balts Pytheas would have encountered were past the Common Balto-Slavic stage, but still spoke one language, which would have been Proto-Baltic.

The works of the French philosophers Voltaire, Rousseau, Diderot to name a few are paragon for political analysis, social science, social and political critic.

Whichever term is used, deflationary theories can be said to hold in common that " he predicate ' true ' is an expressive convenience, not the name of a property requiring deep analysis.

When Conybeare presented his analysis of plesiosaur anatomy to a meeting of the Geological Society in 1824, he again failed to mention Anning by name, even though she had collected both skeletons and she had made the sketch of the second skeleton he used in his presentation.

The editions are undated ( dates can be established only by close bibliographic analysis ) do not name the printer and consist of only one bifolium per partbook to aid concealment, all signs of secrecy: reminders that the possession of heterodox books was still highly dangerous.

Autosegmental phonology is the name of a framework of phonological analysis proposed by John Goldsmith in his PhD thesis in 1976 at the Massachusetts Institute of Technology

These power series arise primarily in analysis, but also occur in combinatorics ( under the name of generating functions ) and in electrical engineering ( under the name of the Z-transform ).

Rigorous analysis of the semantics of proper names is a matter for philosophy of language ; see Proper name ( philosophy ).

More recently, in 1995, Professor Alfred P. Smyth argued that the Life is a forgery by Byrhtferth ( who simply ' adopted ' the name of the obscure Asser from the references to him in other records ), basing his case primarily on an analysis of Byrhtferth's and Asser's Latin vocabulary.

Much of the theoretical work in non-perturbative analysis goes under the name of quantum groups and non-commutative geometry.

Deep Finesse is also the trade name of a commercially marketed computer program that performs double dummy analysis of bridge play problems.

Applied behavior analysis, which is the name of the discipline directly descended from Skinner's work, holds that behavior is explained in four terms: conditioned stimulus ( S < sup > C </ sup >), a discriminative stimulus ( S < sup > d </ sup >), a response ( R ), and a reinforcing stimulus ( S < sup > rein </ sup > or S < sup > r </ sup > for reinforcers, sometimes S < sup > ave </ sup > for aversive stimuli ).

It has been argued that the requirement that a police officer must have individualized suspicion before searching a parolee's person and home was long considered a foundational element of the Court's analysis of Fourth Amendment questions, and that abandoning it in the name of crime prevention represents an unprecedented blow to individual liberties.

The name, random optimization, is attributed to Matyas who made an early presentation of RO along with basic mathematical analysis.

If such forms represent a Welsh version of Bernicia, it is unclear why Welsh would need to borrow a ' foreign ' name for the area, so the former hypothesis is usually accepted, although no etymological analysis has produced a consensus.

The name is from the Greek πΰρ, fire, and χλωρός, green because it typically turns green on ignition in classic blowpipe analysis.