Some existing examples show that a popular choice of interior decor was to paint panels in alternating red and rainbow.

Anglers have a choice of brown and rainbow trout, catfish and bass.

If the content of faith is to be presented today in a form that can be `` understanded of the people '' -- and this, it must not be forgotten, is one of the goals of the perennial theological task -- there is no other choice but to abandon completely a mythological manner of representation.

Although originally controversial, the axiom of choice is now used without reservation by most mathematicians, and it is included in ZFC, the standard form of axiomatic set theory.

With the axiom of dependent choice ( which is a weakened form of the axiom of choice ), this result can be reversed: if there are no such infinite sequences, then the axiom of regularity is true.

Every field has an algebraic extension which is algebraically closed ( called its algebraic closure ), but proving this in general requires some form of the axiom of choice.

However, if none of the larger parties can receive enough votes to form their preferred coalition, a grand coalition might be their only choice for forming a government.

A musician's choice of form factor is generally determined by the instrument he or she plays, the musical situation ( recording or live performance ) and what he or she can afford.

It is difficult to compare the protocols in their current form ; the individual client choice will probably have as much an effect to an end user on either network.

When considered over a countable language, the completeness and compactness theorems are equivalent to each other and equivalent to a weak form of choice known as weak König's lemma, with the equivalence provable in RCA < sub > 0 </ sub > ( a second-order variant of Peano arithmetic restricted to induction over Σ < sup > 0 </ sup >< sub style =" margin-left :- 0. 6em "> 1 </ sub > formulas ).

However the situation is different when the language is of arbitrary large cardinality since then, though the completeness and compactness theorems remain provably equivalent to each other in ZF, they are also provably equivalent to a weak form of the axiom of choice known as the ultrafilter lemma.

The parties at Yalta further agreed that the countries of liberated Europe and former Axis satellites would be allowed to " create democratic institutions of their own choice ", pursuant to " the right of all peoples to choose the form of government under which they will live.

In other words, the syntactic rules of English care about the difference between dog and dogs, because the choice between these two forms determines which form of the verb is to be used.

This means that the person involved should have legal capacity to give consent ; should be so situated as to be able to exercise free power of choice, without the intervention of any element of force, fraud, deceit, duress, over-reaching, or other ulterior form of constraint or coercion ; and should have sufficient knowledge and comprehension of the elements of the subject matter involved as to enable him / her to make an understanding and enlightened decision.

In 1834 King William IV dismissed Melbourne as Premier, but was forced to recall him when Robert Peel, the King's choice, could not form a working majority.

For example, the direct sum of the R < sub > i </ sub > form an ideal not contained in any such A, but the axiom of choice gives that it is contained in some maximal ideal which is a fortiori prime.

As a matter of form, school choice does not give preference to one form of schooling or another, rather manifests itself whenever a student attends school outside of the one they would have been assigned to by geographic default.

Opponents also argue that school choice in the form of vouchers could result in nothing more than a cash-handout for many middle-class and wealthy families already sending their kids to private schools, with disadvantaged families either unable to secure enrollment or unable to cover costs in addition to the vouchers.

The character of the form developed particularly with authors known for their short fiction, either by choice ( they wrote nothing else ) or by critical regard, which acknowledged the focus and craft required in the short form.

They were popularized in the 1920s and 1930s as weapon of choice of American gangsters and police, in the form of the Thompson submachine gun, commonly referred to as the " Tommy Gun ".

He was unable to form a government, leaving William IV with no choice but to recall Lord Grey.

They were faced with Hobson's choice: either a complete extinguishing of the national identity in the form of annexation to the Empire, or the lesser evil of a new kingdom under one of Napoleon's relatives.

The consent takes the form of a compensation principle like Pareto efficiency for making a policy change and unanimity at least no opposition as a point of departure for social choice.

A form of the axiom of choice is required to prove that every topological space has a Stone – Čech compactification.

* Flags of Native American nations in the United States are common and many tribes have chosen a flag as their symbol of choice.

In the episode " Texas City Twister ," in which a tornado has torn off all his clothes, he is given the choice of covering himself with the Texas flag or a potted cactus.

Perdue angered some Georgians when the 1956 flag was not a choice on the ballot after promising throughout his campaign that the ' 56 flag design would appear in any referendum.

The one common link between this and the 1953 SSR flag is the choice of colors-red, white and green.

The common explanation of " blue sky above yellow field of wheat " was invented around that time, and, although it has nothing to do with the choice of colours and the history of the original yellow and blue banner, it certainly formed the flag as we know it today.

Wheat stocks were a poor choice, as the territories ’ agricultural land had been ceded to other provinces years earlier and the flag was replaced in 1959.

Other flags are also used at home and away games, like the Flag of Northern Ireland because the team is based in Northern Ireland and most of the fans are from there, the Flag of South Africa, because they have players from South Africa, including first choice kicker Ruan Pienaar, the St Patrick's Saltire flag, a red and white checkered flag and many other flags, mostly red and white.

It was a favorite of Martha Washington and was the original choice for the background of the American flag.

" which is a reference to both the " Don't Tread on Me " used on the Gadsden flag and the faction The New California Republic, whom the player has the choice to side with, their flag depicts a two headed bear.

The heraldry is an inappropriate choice because the colours neutralise each other and the flag cannot be seen when flown form a distance.

The young punk defends his choice, saying that Pepsi is a Korean product, referring to the Pepsi logo's resemblance of the Taeguk symbol on the South Korean flag.

The choice of the term transformation may simply flag that a function's more geometric aspects are being considered ( for example, with attention paid to invariants ).

The Ottawa Citizen quoted him describing Prime Minister Lester Pearson as " a sawdust Caesar, reminding me of Mussolini, trying to force the country to accept his personal choice for a flag.

Lester Pearson's preferred choice for a new flag was nicknamed " the Pearson Pennant ".

However, as the West Indies represent a number of independent and dependent states, there is no natural choice of flag.

Kaladis revealed in the AutoPatcher Blog that his biggest concern after the project was shut down by Microsoft was that " people around the globe start writing their own custom modules and start redistributing their own releases ", adding that one of the security features in AutoPatcher " would automatically flag these releases as unofficial ", but that if end-users only had a choice of unofficial releases the spread of malicious software would be very easy.

-- Her choice of one color means she is simply enjoying the motor act of coloring, without having reached the point of selecting suitable colors for different objects.

To the members of our Advisory Board, and most specially to its members who constitute our committees of selection, the Foundation is indebted for its successes of choice of Fellows.

Hence, the condition of freedom is a necessary condition for choice.

The greater the range of freedom for individual men, the greater the range of choice ; ;

If we fail to develop the means to hunt down and destroy the enemy's military force with extreme care and precision, and if war comes in spite of our most ardent desires for peace, our choice of alternatives will be truly frightening.

Sometimes, you have a choice of exposure for sites where the topography or trees of the area will provide afternoon shade, morning sun, or whatever may be most desirable for the use intended.

Advances in equipment and fabrication techniques give the sign or display manufacturer an extremely wide choice of production techniques, ranging from injection molding for intricate, smaller-size, mass-production signs ( generally 5000 units is the minimum ) to vacuum and pressure forming for larger signs of limited runs.

The final choice of material depends upon such factors as costs, method of fabrication, degree of complexity, number of units required, time available for tooling, and projected life expectancy of the unit.

They had been kind to us and we were indebted to them for one or two pleasant dinners, and for information as to where to shop, which dentist, doctor, plumber, and sitter to call ( not that there was much of a choice, since Catatonia was just a village ; ;

Also, for the present, great caution should be exercised in the choice of an experimental animal for pulmonary studies if they are to be applied to man.

The relative geographical isolation of the Brandywine population makes for a limited choice in mating.

Lacking the respected and effective institutions that consensus helps provide, minority parties, such as the P.D.I. in 1957 and the progressive Istiqlal faction in 1958, clamor for elections when out of power, but are not at all certain they wish to be controlled by popular choice when in power.

In early childhood the choice of a companion is likely to be for another child of his own age or a year or two older, who can do the things he likes to do ; ;

It is obvious that the careful choice of photocathode which maximizes Af for a given input E ( in the case of the second stage, for the first phosphor screen emission ) is very important.

The same consideration should govern the choice of the second-stage phosphor screen for matching with the spectral sensitivity of the ultimate sensor ( e.g., photographic emulsion ).

`` There had been a threesome at the party in the suite's bedroom: Miss Harrington ( this was Diane's choice for a Roman name ), another woman who has figured in other very interesting events and one of your well-known American actors.

Promoters always hastened to place their choice tickets in the hands of the wealthy speculators, and only the man who knew the man who knew the fellow who had an in with the guy at the box office ever came up with a good seat for a contest of any importance.

This is a significant fact in Japan, for only a few years ago he would have had no choice.

Having no choice, he plunged into it, anyway, holding onto the microphone for support.

Opponents generally argued that the ballot couldn't give enough information about tax proposals for the voters to make an intelligent choice.