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Page "Hypergraph" ¶ 24
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When and notion
When confronted with a drunk or an insane person I have no notion of what any one of them might do to me or to himself or to others.
When combined with the metaphysical notion that pure forms of this universe are best appreciated when least embodied in a material substratum, it becomes clear that while earth will be dross on a scale of material-formal ratios, celestial bodies will be of a subtle, quickened, ethereal existence, in whose embodiment pure form will be the dominant component and matter will be absent or remain subsidiary.
When he heard of his brothers' anger, Palfrey was still hopeful that they could be persuaded to accept his notion of paying wages.
When the Banach algebra A is the algebra L ( X ) of bounded linear operators on a complex Banach space X ( e. g., the algebra of square matrices ), the notion of the spectrum in A coincides with the usual one in the operator theory.
When the former Australian Federal Education Minister, Brendan Nelson, raised the notion of intelligent design being taught in science classes, the public outcry caused the minister to quickly concede that the correct forum for intelligent design, if it were to be taught, is in religious or philosophy classes.
" However, John Squire later turned down any notion of a potential reunion, saying, " When it's just a get-together for a big payday and everyone gets their old clothes out, that seems tragic to me ".
When the domain manifold is compact, the notion of a smooth embedding is equivalent to that of an injective immersion.
When specializing to the preadditive categories of abelian groups or modules over a ring, this notion of kernel coincides with the ordinary notion of a kernel of a homomorphism, if one identifies the ordinary kernel K of f: A → B with its embedding K → A.
When he introduced the notion of secondary average, it was as a vehicle for the then-counterintuitive concept that batting average represents only a fraction of a player's offensive contribution.
When the agent's performance is compared to that of an agent which acts optimally from the beginning, the difference in performance gives rise to the notion of regret.
When Emil Post in his 1921 Introduction to a general theory of elementary propositions extended his proof of the consistency of the propositional calculus ( i. e. the logic ) beyond that of Principia Mathematica ( PM ) he observed that with respect to a generalized set of postulates ( i. e. axioms ) he would no longer be able to automatically invoke the notion of " contradiction " – such a notion might not be contained in the postulates:
" When the Republic of South Africa ( Transvaal ) formally rejected the notion of British suzerainty as allegedly described by the peace treaty of 1881, Chamberlain and Balfour prompted Salisbury to initiate discussions with Portugal regarding Delagoa Bay.
When you live in an open society like London, where anyone with a grievance can publish an article, run for office or start a political movement, the notion that blowing up a busload of innocent civilians in response to Iraq is somehow " understandable " is outrageous.
When fluxes are included the supersymmetry condition instead implies that the compactification manifold be a generalized Calabi – Yau, a notion introduced by.
When asked about this, instead of following this pattern of thinking, the Buddha attacks it at its very root: the notion of a principle in the abstract, superimposed on experience.
When asked about this, instead of following this pattern of thinking, the Buddha attacks it at its very root: the notion of a principle in the abstract, superimposed on experience.
Note When applied to normed spaces, the definitions in this section coincide with the notion of reflexivity for normed spaces.
When Norman Raff communicated his customers ' interest in such a system to Edison, the great inventor summarily rejected the notion:
When the edges of a hypergraph are explicitly labeled, one has the additional notion of strong isomorphism.
When the gravity field becomes very weak ( the masses are too small or too distant from the point of interest ), the notion of being horizontal loses its meaning.
When these ideas were rejected by the SDF at its 1888 Annual Conference in favor of a limitation of party support to candidates endorsing the notion of class war, these advocates of an ameliorative Labour Party set out on their own, abandoning the SDF to its own fate.
When Salisbury died in 1612, James had the notion of governing in person as his own chief Minister of State, with Carr carrying out many of Salisbury's former duties.

When and equality
When Congress reconvened on December 5, 1853, this group, termed the “ F Street Mess ”, along with Virginian William O. Goode, formed the nucleus that would insist on slaveholder equality in Nebraska.
When founded in 1984, the league was a pioneer in gender equality, offering competition in a then-unprecedented 10 women's sports.
When that is seen, it is obvious the Court must choose equality and prohibit state-imposed segregation.
When Mao came to power in 1949, he addressed the issue of women's rights and tried to establish women's equality through the " iron girls " of national development ideal.
When the measure was sent in May to the parliament they said " Given the damage it produces on those rules which allow the life in community, ensure the dignity of the person and equality between sexes, this practice, even if it is voluntary, cannot be tolerated in any public place ".
When women have the agency to do what she wants, a higher equality between men and women is established.
When the intersection is internal, the equality states that the product of the segment lengths into which X divides one diagonal equals that of the other diagonal.
" When I first realized that there was absolutely no equal opportunity, no equality, in New Brunswick ," he recalled in the 1980s, " well, I had to come to the conclusion that something had to be done immediately.
When the vertices of a hypergraph are explicitly labeled, one has the notions of equivalence, and also of equality.
When he does play into this line, White has two main setups to choose from: he may immediately close the centre by playing 8. e4 e5 9. d5 Ne7, or play more flexibly with 8. 0-0 e5 9. Nd2 0-0, but Black has full equality in both lines.
When two numbers are so combined, as that the one has always a unit answering to every unit of the other, we pronounce them equal ; and it is for want of such a standard of equality in extension, that geometry can scarce be esteemed a perfect and infallible science.
When this is done the so-called Jarzynski equality or nonequilibrium work relation, can be derived.
When evaluated in a simple context, the more preferred term in contemporary political discourse is equality of opportunity which the public, as well as individual commentators, see as the nicer or more " well-mannered " of the two terms.
When we withhold it from one segment of the population we are doing a disservice to the principles of fairness and equality upon which our country was founded.
When Japan replaced Russia in southern Manchuria after the Russo-Japanese War ( 1904 – 1905 ) the Japanese and U. S. governments pledged to maintain a policy of equality in Manchuria.
When we ask whether a given coin is fair, often we are interested in the deviation of our result from the equality of numbers of heads and tails.
When I started ' live work ' it was very much to do with dispensing with ' middle men ', to work directly with a group of people, dealing with notions of equality for myself as much as anybody else.
When Hanover resumed independence and sovereignty in 1813 its government deprived the Jews their legal equality.
When addressing or referring to someone, they will use the person's name, an informal pronoun, or some other style implying social equality, such as " brother ", " friend ", or " comrade ".
When Plessy was a young boy, his stepfather was a signatory to the 1873 Unification Movement — an effort to establish principles of equality in Louisiana.
When Ngcuka was released in 1985 he left for Switzerland and worked at the equality of human rights branch of International Labour Organisation in Geneva for two years.
When Buchanan retired in 1977 the school was 950 in total size ( c550 boys and 400 girls ), and the next headmaster, Richard Bull ( 1977-84, before he went on to be headmaster of Rugby ) continued the co-education process ; but it was not until 1990 that the process was completed during the headmastership of Graham Smallbone ( 1985-96 ) and equality of numbers gained.
When discussing equality, the fact that " A is A " is a tautology.
When he was caught teaching his students about the ideals of the French revolution, liberty, equality, fraternity, he was forced out of the class.

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