This choice gives us two alternative forms of geometry in which the interior angles of a triangle add up to exactly 180 degrees or less, respectively, and are known as Euclidean and hyperbolic geometries.

Hence, the axiom of regularity is equivalent, given the axiom of dependent choice, to the alternative axiom that there are no downward infinite membership chains.

His solution was the concept of “ alternative location ,” in which a particular subject could be put in more than one place, as long as the library made a specific choice and used it consistently.

The researchers gave their participants a choice: they could either bet on the outcome of a series of coin tosses, use an " expert " opinion to sway their decision, or choose a risk-free alternative instead for a smaller financial reward.

The forgone profit of this next best alternative is the opportunity cost of the original choice.

From the original ' alternative ' style of midwifery in the 1960s and 1970s, midwifery practice is offered in a variety of ways within regulated provinces: midwives offer continuity of care within small group practices, choice of birthplace, and a focus on the woman as the primary decision-maker in her maternity care.

Successful brinksmanship convinces the other party they have no choice but to accept the offer and there is no acceptable alternative to the proposed agreement.

They propose that when soft drink vending machines are made available on school grounds, the schools should be required to provide children with a choice of alternative drinks ( such as fruit juice, flavored water and milk ) at a comparable price.

Within a given approach, statistical theory gives ways of comparing statistical procedures ; it can find a best possible procedure within a given context for given statistical problems, or can provide guidance on the choice between alternative procedures.

It has been described as " Europe's alternative choice in the second half of the ' 90s ", and " a fusion of hip hop and electronica until neither genre is recognisable.

Tversky and Kahneman developed prospect theory as a more realistic alternative to rational choice theory.

He accepted only when it was made clear to him that McClellan would be replaced in any event and that an alternative choice for command was Maj. Gen. Joseph Hooker, whom Burnside disliked and distrusted.

She is quoted as saying that her alternative career choice would have been as a stand-up comedian.

# The opportunity for anyone to live within a total environment of their choice, with mandatory adherence to the aesthetic and behavioral standards of same — " Privately owned, operated and controlled environments as an alternative to homogenized and polyglot ones.

The choice of the design of the coins was left to the Italian public by means of a television broadcast where alternative designs were presented, letting the people vote by calling a certain telephone number.

If trying to decide between alternative investments in order to maximize the value of the firm, the corporate reinvestment rate would probably be a better choice.

Adeline Loyau and her colleagues responded to Takahashi ’ s study by voicing concern that alternative explanations for these results had been overlooked and that these might be essential for the understanding of the complexity of mate choice.

An alternative definition uses job security as the measure of formality, defining participants in the informal economy as those ' who do not have employment security, work security and social security .” While both of these definitions imply a lack of choice or agency in involvement with the informal economy, participation may also be driven by a wish to avoid regulation or taxation.

It was proposed by Herbert A. Simon as an alternative basis for the mathematical modeling of decision making, as used in economics and related disciplines ; it complements rationality as optimization, which views decision-making as a fully rational process of finding an optimal choice given the information available.

With sufficient growth, competitors enter the space, providing choice to the consumer, often competing merely on price as a cheaper alternative to the flagship brand's product offering.

Instruments are usually made from African Blackwood ( aka Grenadilla ), although some makers offer instruments in a choice of alternative woods as well, such as cocobolo ( Howarth ) or violet wood ( Lorée ), which are said to alter the voice of the cor anglais slightly, reputedly making it even more mellow and warmer.

Benzylpenicillin was once the drug of choice with chloramphenicol as a good alternative in allergic patients.

Furthermore, the argument goes, if people choose to work for low wages and in unsafe conditions because it is their only alternative to starvation or scavenging from garbage dumps ( the " preexisting options "), this cannot be seen as any kind of " free choice " on their part.

For example, the late W. R. Rearick gave him Il Tramonte ( see Gallery ) and he is an alternative choice for a number of drawings that might be by Titian or Giorgione, and both are sometimes credited with the design of some of his engravings.

Before being renamed to commemorate Saint Osyth, the village was called Chich ( alternative spellings include Chiche and Chick ).

After the failure of the reunification attempt, Kamenev continued working in Proletariy and taught at the Bolshevik party school at Longjumeau near Paris that was created as a Leninist alternative to Bogdanov's Capri-based party school.

His base of support includes strong supporters of Chinese reunification, some rural voters ( particularly in northern and eastern Taiwan, who were grateful for the selective economic development undertaken while he was governor ) and some urban middle class voters who see him as a cleaner alternative to the KMT.

In 1989, Soviet forces withdrew from Afghanistan and by 1990 Gorbachev consented to German reunification, the only alternative being a Tiananmen scenario.

Since reunification a combination of decreasing population, renovation of older buildings, and construction of modern alternative housing has led to high vacancy rates, with some estimates placing the number of unoccupied units at around a million.

Hankyoreh was intended to provide an independent, left-leaning, and nationalist alternative to mainstream newspapers regarded as blindly pro-business, pro-American, and opposed to national reunification.

More recently, questions around the legal and political status of Taiwan have focused on the alternative prospects of formal reunification with the mainland or full Taiwanese independence.

If the administration ever had any ideas that it could find an acceptable alternative to Prince Souvanna Phouma, whom it felt was too trusting of Communists, it gradually had to relinquish them.

Rudra could bring diseases with his arrows, but he was able to free people of them, and his alternative Shiba, is a healer physician god.

American philosopher Michael Martin argues that it is not necessarily true that objective moral truths must entail the existence of God, suggesting that there could be alternative explanations: he argues that naturalism may be an acceptable explanation and, even if a supernatural explanation is necessary, it does not have to be God ( polytheism is a viable alternative ).

So they decided to also develop their own alternative in the form of an improved floppy disk controller and printer interface that could be built right into a floppy disk enclosure.

http :// uk. news. yahoo. com /​ oklahoma-says-running-death ​- penalty-drug-001238468. ht ​ ml reads: " Oklahoma was the first state in the country to use pentobarbital in 2010 after a shortage of another AESTHETIC, sodium thiopental, caused penal officials in death penalty states to look for an alternative .... Oklahoma could resort to another AESTHETIC never used before in executions, Massie said, or it could try to tap existing supplies of pentobarbital.

Inflation and baryogenesis remain more speculative features of current Big Bang models: they explain important features of the early universe, but could be replaced by alternative ideas without affecting the rest of the theory.

Lloyd George offered a degree of support to the Labour government in the hope of winning concessions, including a degree of electoral reform to introduce the alternative vote, but this support was to prove bitterly divisive as the Liberals increasingly divided between those seeking to gain what Liberal goals they could achieve, those who preferred a Conservative government to a Labour one and vice-versa.

Carbon is essential to all known living systems, and without it life as we know it could not exist ( see alternative biochemistry ).

Pissarro now expressed his opinion to the group that he wanted an alternative to the Salon so their group could display their own unique styles.

Opportunity costs are not restricted to monetary or financial costs but could be measured by the real cost of output forgone, leisure, or anything else that provides the alternative benefit ( utility ).

Furthermore, transcripts made from the same gene may not have the same exon structure, since parts of the mRNA could be removed by the process of alternative splicing.

An alternative interpretation of skewed IQ gains could be that improved education has been particularly important for this group.

It is highly improbable that one could know all the alternatives, or all the consequences that follow each alternative.

Instead they favor more evolutionary methods of bringing about anarchy through alternative experiences and experiments and education which could be brought about today.

However, in every previous case there had been an obvious alternative monarch around whom the rebellion could rally.

The need for an alternative non-Russian source of naval stores is indicated by the information from the British Ambassador in Copenhagen, Hugh Elliott, who wrote to Foreign Secretary, Lord Carmarthen on 12 August 1788: “ There is no Topick so common in the Mouths of the Russian Ministers, as to insist on the Facility with which the Empress, when Mistress of the Baltic, either by Conquest, Influence, or Alliance with the other two Northern Powers, could keep England in a State of Dependence for its Baltic Commerce and Naval Stores ”.

In 2001, the European Association for Palliative Care recommended that oral oxycodone could be taken as a second-line alternative to oral morphine for cancer pain.

CompuServe for one, designed its own alternative disk controller that could operate on the MASSbus, but connect to IBM style 3330 disk subsystems.

He compared the memories with reports of people known to the deceased, attempting to do so before any contact between the child and the deceased's family had occurred, and searched for disconfirming evidence that could provide alternative explanations for the reports aside from reincarnation.

Although the practicality of this approach to gene therapy has yet to be proven, some aspects of it could be less problematic than the alternative viral-based delivery of therapeutic genes.