Given a field F, the assertion “ F is algebraically closed ” is equivalent to other assertions:

It's the assertion that " there is nothing outside the text " ( il n ' y a pas de hors-texte ), which means that “ there is no such a thing as out-of-the-text ”, in other words, the context is an integral part of the text.

The “ active homosexual act is considered as an assertion of one ’ s aggressive masculine superiority, while the acceptance of the role of the passive homosexual is considered extremely degrading and shameful because it casts the man or youth into a submissive, feminine role ”.

Many assume that the “ Mandate for Palestine ” is a Class “ A ” mandate, a common but inaccurate assertion that can be found in many dictionaries and encyclopedias, and is frequently used by the pro-Palestinian media and lately by the ICJ.

In determining whether the police “ scrupulously honored ” the assertion the courts apply a totality of the circumstances test.

# Did the police scrupulously honor the defendant's assertion of his right to remain silent? If “ Yes ” go to 10 ; If “ No ”, go to 18.

One high-ranking German police official stated, “ The only information we have connecting the three Hamburg suspects is the FBI ’ s assertion that there is a connection .” In October 2006, however, a video surfaced showing Atta and Jarrah together in Afghanistan, clearly connecting Jarrah to the members of the Hamburg cell.

Clive Bell published an appeasement pamphlet ( he later supported the war ), and E. M. Forster wrote an early version of his famous essay “ What I Believe ” with its choice, still shocking for some, of personal relations over patriotism: his quiet assertion in the face of the increasingly totalitarian claims of both left and right that " personal relations ... love and loyalty to an individual can run counter to the claims of the State ".

Furthermore, he added that his assertion holds “ unless the equation is incomplete ”, by which he meant that no coefficient is equal to 0.

For Fish, a large part of what renders a reader ’ s subjective experience valuable — that is, why it may be considered “ constrained ” as opposed to an uncontrolled and idiosyncratic assertion of the self — comes from a concept native to the field of linguistics called linguistic competence.

In Book II, Quintilian sides with Plato ’ s assertion in the Phaedrus that the rhetorician must be just: “ In the Phaedrus, Plato makes it even clearer that the complete attainment of this art is even impossible without the knowledge of justice, an opinion in which I heartily concur " ( Quintilian 2. 15. 29 ).

Gore had argued for a new recount that would pass constitutional muster, but the Court instead chose to end the election, asserting that “ the Florida Supreme Court has said that the Florida Legislature intended to obtain the safe-harbor benefits of 3 U. S. C. § 5 .” This last assertion by the 5 – 4 Bush v. Gore majority has proven very controversial.

For this particular interpretation of the play, it is assumed that the action takes place in Hell ( perhaps in reference to Jean-Paul Sartre's famous assertion, ' Hell is — other people ' though T. S. Eliot ’ s rebuttal, “ Hell is oneself ,” is probably more accurate.

When an assertion is offered into evidence against the defendant and the defendant objects, “ hearsay ,” the defendant is in essence saying “ I object to this statement as untrustworthy because I am not afforded an opportunity to cross-examine the person who made it.

He famously introduces the idea in his later work The Tacit Dimension with the assertion that “ we can know more than we can tell .”.

Believing this to be true Eco says, “ It is equally untrue that acting on the form and content of the message can convert the person receiving it .” In doing this Eco does merges form and content, the separation of which is the basis of McLuhan ’ s assertion.

Fake objects need do little more than add a message such as “ Person object saved ” to a trace log, against which a test assertion can be run to verify correct behaviour.

In some states, whether a law is “ special ” is determined by the courts ; whether a general law could have been made applicable in is judicially determined without regard to any legislative assertion on that subject.

It is controversial ; Roman Rosdolsky said “ The assertion that Marx did not propose a ‘ breakdown theory ’ is primarily attributable to the revisionist interpretation of Marx before and after the First World War.

And from this we can infer that “ All lemons are yellow " or " Santa Claus exists ” ( or both )-we started with the assertion that " all lemons are yellow ", so this expanded statement must be true.

Among Freud ‘ s disciples the dubiousness of the assertion of “ treatment success ” was discussed.

So A. Berriedale Keith 1925 mentioned that " the assertion that the Rbhus are really the Rthus " ( the seasons ) " is not ' in the slightest degree plausible '".

For this kind of subjectivist, a phrase having to do with probability simply asserts the degree to which the subjective actor believes their assertion is true or false.

'" Alito disagreed with Kennedy's assertion that " an acceptable degree of independence from the Executive is necessary to render a commission ' regularly constituted ' by the standards of our Nation's system of justice ," arguing that Kennedy " offers no support for this proposition ( which in any event seems to be more about fairness or integrity than regularity )," and further arguing that the commission in Quirin was no different from the present case.

McCollum was prosecuted by state's attorney Keith Black and convicted of first degree murder on December 20, 1952 and sentenced to death, despite her assertion that Adams had forced sex upon her and insisted that she bear his child.

But when we make a generall assertion, unlesse it be a true one, the possibility of it is inconceivable.

Concordant with the above understanding, any assertion about the motion of a body boils down to a description over time in which the body under consideration is at t < sub > 1 </ sub > found in the vicinity of one group of " landmark " bodies and at some t < sub > 2 </ sub > is found in the vicinity of some other " landmark " body or bodies.

Author David Kaufman asserts that one of Day's costars, actor Louis Jourdan, maintained that Day herself disliked her husband, but Day's public statements regarding Melcher appear to contradict that assertion.

His government has also been condemned for allegedly arming and financing the insurgency in Somalia ; the United States is considering labeling Eritrea a " State Sponsor of Terrorism ," however, many experts on the topic have shied from this assertion, stating that " If there is one country where the fighting of extremists and terrorists was a priority when it mattered, it was Eritrea.

However, Dumas is alone in this assertion, and extant newspaper clippings from only a few days after the duel give a description of his opponent that more accurately applies to one of Galois ' Republican friends, most probably Ernest Duchatelet, who was imprisoned with Galois on the same charges.

:" In such a mighty contest, sedition and discord, you will see one according law and assertion in all the earth, that there is one god, the king and father of all things, and many gods, sons of god, ruling together with him.

Thus Irenaeus provides the earliest witness to the assertion of the four canonical Gospels, possibly in reaction to Marcion's edited version of the Gospel of Luke, which Marcion asserted was the one and only true gospel.

This forms the basis for his assertion that since one cannot explain their own actions and behaviour by referencing any specific human nature, they are necessarily fully responsible for those actions.

He also had difficulty with the assertion that a single subatomic particle can occupy numerous areas of space at one time.

In the Biblical account, however, Cuthah was just one of several cities from which people were brought to Samaria, and the Samaritans were later called " Cutheans " to spite them, with the added assertion that the men of Kuth made Nergal their god.

Jesus is described as reiterating, despite each Apostle's assertion that he would not betray Jesus, that the betrayer would be one of those who were present, and saying that there would be woe to the man who betrays the Son of man!

This was one of several occasions on which the kingship of Wessex is said to have passed to a remote branch of the royal family with an unbroken male line of descent from Cerdic ; these claims may be genuine, or may reflect the spurious assertion of descent from Cerdic to legitimise a new dynasty.

The fact that OSF / 1 was one of the first operating systems to use the Mach kernel is cited as support of this assertion.

It concluded in 2008 that Taleyarkhan's name should have appeared in the author list because of his deep involvement in many steps of the research, that he added one author that had not really participated in the paper just to overcome the criticism of one reviewer, and that this was part of an attempt of " an effort to falsify the scientific record by assertion of independent confirmation ".

The fundamental assertion is that there is a maximum amount that " a consumer will give up, of one commodity, to get one unit of another good, in that amount which will leave the consumer indifferent between the new and old situations " The negative slope of the indifference curves represents the willingness of the consumer to make a trade off.

This grew from the increasingly popular assertion in the late 20th century that no one foundation of mathematics could be ever proven to exist.

The tale of human evil is such that one cannot make that assertion without a quiver, but I believe that it is true nevertheless.

" This is an assertion that he " is " a good pianist, as opposed to a poor one.

In most cases the value is emphasized, like in the assertion " the set of all linear combinations of v < sub > 1 </ sub >,..., v < sub > n </ sub > always forms a subspace "; however one could also say " two different linear combinations can have the same value " in which case the expression must have been meant.

" The bread and wine, offered by Melchizedek in sacrifice in the old covenant ( Genesis 14: 18 ; Psalm 110: 4 ), are transformed through the Mass into the body and blood of Christ ( see transubstantiation ; note: the Orthodox Church does not hold as dogma, as do Catholics, the doctrine of transubstantiation, preferring rather to not make an assertion regarding the " how " of the sacraments ), and the offering becomes one with that of Christ on the cross.