In constructive set theory, however, Diaconescu's theorem shows that the axiom of choice implies the law of the excluded middle ( unlike in Martin-Löf type theory, where it does not ).

Some results in constructive set theory use the axiom of countable choice or the axiom of dependent choice, which do not imply the law of the excluded middle in constructive set theory.

then, according to the distributive law, there will be one term in the expansion for each choice of either x or y from each of the binomials of the product.

This is the reason for the frequent choice of the law of the State of New York in commercial contracts.

Commercial contracts almost always include a " choice of law clause " to reduce uncertainty.

) include a Delaware choice of law clause, because of the deep body of law in Delaware on these issues.

Likewise, for litigation of commercial disputes arising out of unpredictable torts ( as opposed to the prospective choice of law clauses in contracts discussed in the previous paragraph ), certain jurisdictions attract an unusually high fraction of cases, because of the predictability afforded by the depth of decided cases.

Many would also find it unacceptable that an ISP, whether by law or by the ISP's own choice, should deploy such software without allowing the users to disable the filtering for their own connections.

Although killing oneself is forbidden under normal Jewish law as being a denial of God's goodness in the world, under extreme circumstances when there has seemed no choice but to either be killed or forced to betray their religion, Jews have committed suicide or mass suicide ( see Masada, First French persecution of the Jews, and York Castle for examples ).

Sutherland then released the subsequent companion article in a law journal as part of an academic conference about school choice.

Eusebius said, “ The Creator of all things has impressed a natural law upon the soul of every man, as an assistant and ally in his conduct, pointing out to him the right way by this law ; but, by the free liberty with which he is endowed, making the choice of what is best worthy of praise and acceptance, because he has acted rightly, not by force, but from his own free-will, when he had it in his power to act otherwise, As, again, making him who chooses what is worst, deserving of blame and punishment, as having by his own motion neglected the natural law, and becoming the origin and fountain of wickedness, and misusing himself, not from any extraneous necessity, but from free will and judgment.

* John Coons ( law professor, school choice activist )

Since about 93 % of the data submitted to the FBI is in this format, the UCR stands out as the publication of choice as most states require law enforcement agencies to submit this data.

His choice of a new hometown was somewhat involuntary, taking place whilst he was travelling from Shelbyville, Illinois, to Chicago to find more clients for his law firm.

For advocates of the theory that justice is part of natural law ( e. g., John Locke ), it involves the system of consequences that naturally derives from any action or choice.

The choice principles that intuitionists accept do not imply the law of the excluded middle.

However, in certain axiom systems for constructive set theory, the axiom of choice does imply the law of the excluded middle ( in the presence of other axioms ), as shown by the Diaconescu-Goodman-Myhill theorem.

Although he grew up in a middle class Jewish family, Altenberg eventually separated himself from his family of origin by dropping out of both law and medical school, and embracing Bohemianism as a permanent lifestyle choice.

# Each legal category has one or more choice of law rules to determine which of the competing laws should be applied to each issue.

In those states with an underdeveloped set of Conflict rules, decisions on jurisdiction tend to be made on an ad hoc basis, with such choice of law rules as have been developed embedded into each subject area of private law and tending to favour the application of the lex fori or local law.

For instance, a major clause must display some structure that is the formal realization of a choice from the system of " voice ", i. e. it must be either " middle " or " effective ", where " effective " leads to the further choice of " operative " ( otherwise known as ' active ') or " receptive " ( otherwise known as " passive ").

Many contracts and other forms of legally binding agreement include a jurisdiction or arbitration clause specifying the parties ' choice of venue for any litigation ( called a forum selection clause ).

If the case has been submitted to arbitration rather than a national court, say because of a forum selection clause, an arbitrator may decide not to apply local mandatory policies in the face of a choice of law by the parties if this would defeat their commercial objectives.

Consent may also derive from a pre-litigation agreement by the parties, such as a forum selection clause in a contract ( not to be confused with a choice of law clause ).

Because the minor league team that last held Jim Thorpe's contract had disbanded in 1910, he found himself in the rare position of being a sought after free agent at the major league level during the era of the reserve clause, and thus had a choice of baseball teams for which to play.

Other projects that have adopted the Q Public License, sometimes with a change in the choice of jurisdiction clause, include:

* A choice of venue clause

In 2005 the government of Premier Jean Charest decided not to renew the clause, abrogate Article 5 of the Public Education Act, modify Article 41 of the Quebec Charter of Rights and then eliminate the choice in moral and religious instruction that existed previously and, finally, impose a controversial new Ethics and religious culture curriculum to all schools, even the private ones.

In the absence of a choice of law clause it is the law of the place the parties divorce, not the law of the state they were married that decides property and support issues.

However, other states made the choice to omit such clause and many established and competent practitioners were stripped of their professional rights.

* If there is a clause in which both of the variables are set, in a way that falsifies the clause, then the algorithm backtracks to its most recent choice point, undoing the assignments it made since that choice, and reverses the decision made at that choice.

This phrase has become the label of choice for this constitutional clause, and it was universally adopted by the courts, and it received Congress's imprimatur in Title 50 of the United States Code, section 1541 ( b ) ( 1994 ), in the purpose and policy of the War Powers Resolution.

* Single if choice clause:

* Chained if choice clause:

Bradley disagreed with the majority opinion, apparently because it rested on the decision in the Slaughterhouse Cases, but concurred in the judgement on grounds that the clause did not protect women in their choice of vocation.

In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

By a proper choice of coordinate system, the ellipse can be described by the canonical implicit equation

However, with the proper choice of h, one can use the technique of rolling hash to compute all those hashes with an effort proportional to k + n.

The most convenient choice for the user would have been for the entire dictionary to be re-edited and retypeset, with each change included in its proper alphabetical place ; but this would have been the most expensive option, with perhaps 15 volumes required to be produced.

# 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 Chicago Manual of Style, in its section " Words derived from proper names ", gives some examples of both lowercase and capitalized stylings, including a few terms styled both ways, and says, " Authors and editors must decide for themselves, but whatever choice is made should be followed consistently throughout a work.

He managed to divert the officials from checking his books by offering to stop taking money during the investigation, a fortunate choice, as proper records were not being kept.

Arion was given the choice of suicide with a proper burial on land, or being thrown in the sea to perish.

The proper choice of is a matter of some contention.

However, as there are various measure of the size of a macromolecule ( for instance, the radius of gyration and the hydrodynamic radius ), a fundamental problem in the theory of SEC has been the choice of a proper molecular size parameter by which molecules of different kinds are separated.

The court noted that the issue in itself allowed for an intervener with a legitimate purpose to come forth, and through the statute's requirement of first showing the relationship, second showing the rebuttal of the presumption, and finally judging the choice on the best interest of the child standard, the fundamental right of the parent was being given proper Due Process Requirements under the 14th Amendment Due Process Clause.

While there are still certain peculiarities in the latter ( especially in terms of intonation, accent and choice of words ), proper Malaysian English is merely a normal variation in the way English is spoken and does not deviate significantly from common English.

With the proper choice of rate of heating and other variables, the antimony can be spread evenly through the germanium.

Keith Morris has stated " These kids that are on the Warped Tour, they should have no choice but to go into the military, and go off to some desert somewhere and spend some time in the desert, rather than having some big, ultra mega record company giving them lots of money and paying for their hotels and buses, making sure their hair is trendy, and that they are wearing the proper clothes that all the kids like and wear, and all that fun shit.

* The sign choice for time in frames of reference and proper time: + for future and − for past is universally accepted.

The work is divided into three books: the first treats of the individual conduct of the king, the nature of his true happiness, the choice and acquisition of virtues, and the ruling of passions ; the second deals with family life and the relations with wife, children, and servants ; the third considers the State, its origin, and the proper mode of governing in times of peace and war.

The first choice for commander in Europe was U. S. Army General Dwight D. Eisenhower, as he had successfully directed the Allied landings and subsequent march into Germany during World War II, amid many inter-Allied controversies over the proper conduct of the campaign in the western theatre.

for any torsion sheaf F. Here j is any open immersion of X into a scheme Y with a proper morphism g to S ( with f = gj ), and as before the definition does not depend on the choice of j and Y. Cohomology with compact support is the special case of this with S a point.

* Followers of Taguchi argue that the designs offer rapid results and that interactions can be eliminated by proper choice of quality characteristics.

If an individual believes in and performs religious activities, and those actions happen to work, then that practice appears the proper choice for the individual.

: Undoubtedly the most unfortunate choice of a proper name from Aboriginal sources was made in Melbourne when the city fathers chose to name the city's annual festival ' Moomba '.

The parameters of the filters are designed by proper choice of the grating parameters.

Thus, not only did they dictate morality, but they also guided readers ' choice of dress and outlined " proper " etiquette.

With the axiom of choice we can well order the continuum ; furthermore, we can do so in such a way that any proper initial portion does not have the cardinality of the continuum.