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common and choice
The debate is interesting enough, however, that it is considered of note when a theorem in ZFC ( ZF plus AC ) is logically equivalent ( with just the ZF axioms ) to the axiom of choice, and mathematicians look for results that require the axiom of choice to be false, though this type of deduction is less common than the type which requires the axiom of choice to be true.
The political terms of " modern ", " progressive " or " new " Liberalism began to appear in the mid to late 1880s and became increasingly common to denote the tendency in the Liberal Party to favour an increased role for the state as more important than the classical liberal stress on self-help and freedom of choice.
Just as the older dictionaries it includes uniquely Canadian words and words borrowed from other languages, and surveyed spellings, such as whether colour or color was the more popular choice in common use.
Medal play is the most common scoring method but there are many others, including match play, skins, speed golf and captain's choice, which in disc golf is referred to as " doubles " ( not to be confused with partner or team play ).
Appointments by influence were common in the navy at this time, but the significance of Beatty's choice lay in Seymour's relative inexperience as a signals officer, which later resulted in difficulties in battle.
* Flags of Native American nations in the United States are common and many tribes have chosen a flag as their symbol of choice.
Small handguns can be easily concealed, thus making them a very common choice for personal protection.
Vertical stripes ( ribbing ) are possible by having alternating wales of knit and purl stitches ; for example, a common choice is 2x2 ribbing, in which two wales of knit stitches are followed by two wales of purl stitches, etc.
" A common argument against noise pollution laws involves a false choice.
The most common choice in optimization of parameters is the root mean square criterion which is also called the autocorrelation criterion.
Because the machete is common in many tropical countries, it is often the weapon of choice for uprisings.
Outing gives rise to issues of privacy, choice, hypocrisy, and harm in addition to sparking debate on what constitutes common good in efforts to combat homophobia and heterosexism.
# it counts the factors that connect or link the legal issues to the laws of potentially relevant states and applies the laws that have the greatest connection, e. g. the law of nationality ( lex patriae ) or domicile ( lex domicilii ) will define legal status and capacity, the law of the state in which land is situated ( lex situs ) will be applied to determine all questions of title, the law of the place where a transaction physically takes place or of the occurrence that gave rise to the litigation ( lex loci actus ) will often be the controlling law selected when the matter is substantive, but the proper law has become a more common choice.
The common view is that there are diminishing returns with an increase in price-a turntable costing $ 1, 000 would not sound significantly better than a turntable costing $ 500 ; nevertheless, there exists a large choice of expensive turntables despite vinyl records being long past their peak in popularity as replay media.
It has been used since the 17th century and, with clay pipes, represented the most common medium for pipes before the introduction of briar as the material of choice in the 19th century.
The most common options offered by school choice programs are open enrollment laws that allow students to attend other public schools, private schools, charter schools, tax credit and deductions for expenses related to schooling, vouchers, and homeschooling.
This, and it being open-source and licensed under the LGPL, makes SDL a common choice for many multimedia applications.
" This attitude markedly differs from the common definition in photography which qualifies 40mm to 65mm as the focal length of a normal lens instead due to resembling natural human field of view, unlike Gilliam's signature style defined by extreme perspective distortion due to his usual choice of focal length.
The choice of 25 ¢ as a denomination, as opposed to 20 ¢ which is more common in other parts of the world, originated with the practice of dividing Spanish Milled Dollars into eight wedge shaped segments ( cf.
For example, a common choice for A < sub > o </ sub > is a Gaussian wave packet:
The D whistle is the most common choice for Irish and Scottish music.
* Economists and political scientists often associate the term with approaches using rational choice assumptions, especially game theory and social choice theory, in explaining phenomena beyond economics ' standard remit, such as corruption, government failure and complex decision-making in which context the term " positive political economy " is common.

common and estimate
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.
Assuming average population densities of 0. 25 animals per km² in regions where it is known to be common or abundant, and 0. 02 per km² elsewhere, and with a total area of occupancy of 327, 000 km², a total population estimate of approximately 28, 000 is suggested.
A common estimate is that over 300, 000 people in Poland are of the Kashubian ethnicity.
Parts of the Kinsey Reports regarding diversity in sexual orientations are frequently used to support the common estimate of 10 % for homosexuality in the general population.
A common predictive distribution over future samples is the so-called plug-in distribution, formed by plugging a suitable estimate for the rate parameter λ into the exponential density function.
While in Martinique, he produced between ten and twenty works ( twelve being the most common estimate ) and traveled widely and apparently came into contact with a small community of Indian immigrants, a contact that would later influence his art through the incorporation of Indian symbols.
The most common estimate places the drafting of the book between 416 and 417.
The variation of mitochondrial DNA between different people can be used to estimate the time back to a common ancestor, such as Mitochondrial Eve.
In the United States, the common cold leads to 75 – 100 million physician visits annually at a conservative cost estimate of $ 7. 7 billion per year.
Studies of language change, especially glottochronology ( that is, words changing in form or being replaced by borrowed synonyms ), have given linguists the tools to estimate the point in time when many pairs of languages diverged from their common ancestral tongue.
A second and more common design is the twin study in which the similarity of identical and fraternal twins is used to estimate heritability.
Dizygous ( DZ ) twins have a common shared environment, and share on average 50 % of their genes: so the correlation between DZ twins is a direct estimate of ½A + C.
The advent of protein sequencing allowed molecular biologists to create phylogenies based on sequence comparison, and to use the differences between homologous sequences as a molecular clock to estimate the time since the last common ancestor.
In demographic studies which estimate the prevalence of infertility it is common to use a period of five years.
In contrast, Robert Cribb of the Australian National University has argued that the common estimate of 200, 000 deaths by violence in East Timor is likely to be a significant exaggeration and that the most likely figure is closer to 80, 000.
A common method is to estimate primary production fuelled by nitrate and ammonium as these nutrients have different sources that are related to the remineralisation of sinking material.
Following meals, venous levels are somewhat lower than those in capillary or arterial blood ; a common estimate is about 10 %.
A common estimate used is that made in 2002 where it was estimated that the United Kingdom was monitored by over 4. 2 million CCTV cameras, some with a facial recognition capacity, with practically all cities and towns under 24-hour surveillance.
It is to be distinguished from glottochronology, which attempts to use lexicostatistical methods to estimate the length of time since two or more languages diverged from a common earlier proto-language.
Although well versed in the common law, Campbell was criticized for attempting to influence juries in their estimate of the credibility of evidence, as was seen in the 1852 Achilli case.
However, due to underreporting and to the widely varying definitions of concussion and MTBI, it is difficult to estimate how common the condition is.
Fomenko also condemns the common archaeological practice of submitting samples for dating accompanied with an estimate of the expected age.
Conventions for distinguishing sample from population effect sizes follow standard statistical practices — one common approach is to use Greek letters like ρ to denote population parameters and Latin letters like r to denote the corresponding statistic ; alternatively, a " hat " can be placed over the population parameter to denote the statistic, e. g. with being the estimate of the parameter.

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