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.

A common choice of estimate is the one provided by the principle of maximum likelihood, and using this yields the predictive density over a future sample x < sub > n + 1 </ sub >, conditioned on the observed samples x = ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >) given by

* 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.

John Adams asserted in the Continental Congress' Declaration of Rights that the demands of the colonies were in accordance with their charters, the British Constitution and the common law, and Jefferson appealed in the Declaration of Independence `` to the tribunal of the world '' for support of a revolution justified by `` the laws of nature and of nature's God ''.

`` we the People of the United States, in order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common Defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America ''.

This almost trivial example is nevertheless suggestive, for there are some elements in common between the antique fear that the days would get shorter and shorter and our present fear of war.

During the decade that followed, the common man, as that piece put it, grew uncomfortable as the Voice of God and fled from behind Saint Woodrow ( Wilson ) only to learn from Science, to his shocked relief that after all there was no God he had to speak for and that he was just an animal anyhow -- that there was a chemical formula for him, and that too much couldn't be expected of him.

The men who speculate on these institutions have, for the most part, come to at least one common conclusion: that many of the great enterprises and associations around which our democracy is formed are in themselves autocratic in nature, and possessed of power which can be used to frustrate the citizen who is trying to assert his individuality in the modern world ''.

Now this concern for the freedom of other peoples is the intellectual and spiritual cement which has allied us with more than forty other nations in a common defense effort.

A common meeting ground is desirable for those nations which are prepared to assist in the development effort.

It purported to be a reasonably serious attempt at a treatment of jazz musicians, their aims, their problems -- the tug-of-war between the `` pure '' and the `` commercial '' -- and seemed a promising vehicle, for the two men shared a common interest in jazz.

The headquarters of Morgan was on a farm, said to have been particularly well located so as to prevent the farmers nearby from trading with the British, a practice all too common to those who preferred to sell their produce for British gold rather than the virtually worthless Continental currency.

For a time it appeared that a common European army might be created, but the project for a European Defense Community was rejected by the French National Assembly in 1954.

By comparison, Stone Harbor bird sanctuary's allies seem less formidable, for aside from the Audubon Society, they are mostly the snowy, common and cattle egrets and the Louisiana, green, little blue and black-crowned herons who nest and feed there.

So be it -- then we must embark on a crash program for 200-megaton bombs of the common or hydrogen variety, and neutron bombs, which do not exist but are said to be the coming thing.

for what had happened on the common was only terror and flight ; ;

Such payments shall be made to small domestic producers of lead as long as the market price for common lead at New York, New York, as determined by the Secretary, is below 14-1/2 cents per pound, and such payments shall be 75 per centum of the difference between 14-1/2 cents per pound and the average market price for the month in which the sale occurred as determined by the Secretary.

Leasing a car is not as common or as popular as renting a car in Europe, but for long periods it will be unquestionably more economical and satisfactory.

The common codes, for religious action as such and in their ethical aspects for everyday moral behavior, bind the devotees together.

While other conditions might be even more effective in bringing about a change from immobility to mobility in Kohnstamm reactivity, it is our hypothesis that all such conditions would have as a common factor the capacity to induce an attitude in the subject which enabled him to divorce himself temporarily from feelings of responsibility for his behavior.

Law became a conscious process, something more than simply doing justice and looking to local customs and a common morality for applicable norms.

He is a trustee for the common good, however feeble the safeguards which the positive or municipal law of property provides against his misuse of that share of the common fund, wisely or unwisely, entrusted to his keeping.

a common habit or uniform prescribed for all citizens ; ;