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Every residue class in this group contains exactly one square free integer, and it is common, therefore, only to consider square free positive integers, when speaking about congruent numbers.
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Every and residue
Every employment relation leaves the employer with a residue of discretion, historically expressed as the ‘ master-servant ’ relationship.
Every item picked up was tagged, placed in a clear plastic bag, labelled and taken to the gymnasium of a local school, where everything was X-rayed and checked for explosive residue with a gas chromatograph, after which the information was entered into the Home Office Large Major Enquiry System.
Every and class
Every system must have a class designated as " root ", with one of its creation procedures designated as " root procedure ".
# Every type of state is a powerful institution of the ruling class ; the state is an instrument which one class uses to secure its rule and enforce its preferred production relations ( and its exploitation ) onto society.
Every type that is a member of the type class defines a function that will extract the data from the string representation of the dumped data.
Every unique cultivar has a unique name within its denomination class ( which is almost always the genus ).
Every year he exhibited work of one class or another: occasionally a public monument in the round, like those of Pasquale Paoli ( 1798 ) or Captain Montague ( 1802 ) for Westminster Abbey, of Sir William Jones for University College, Oxford ( 1797 – 1801 ), of Nelson or Howe for St Paul's Cathedral ; more often memorials for churches, with symbolic Acts of Mercy or illustrations of Scripture texts, both commonly in low relief ( 1801 ), Miss Cromwell, Chichester ( 1800 ), Mrs Knight, Milton, Cambridge ( 1802 ), and many more ; and these pious labours he would vary from time to time with a classical piece like those of his earliest predilection.
Every winter this alpine village hosts the " White Turf " horse race on the frozen Lake St. Moritz attended by the international Upper class.
This means that A is not necessarily better than B, and B is not necessarily better than C. Every class is independent of the others.
Every naval fleet consists of a variety of ships of different sizes, and no fleet has enough resources to make every vessel supreme in its class.
Every time one levels up a class division, one is given one extra attribute point until it reaches division level 50, such that a non reincarnated char has a total of 236 points, 216 points the character can invest as there is always 5 Tactics, Clout, Education and Mechanical Aptitude to start with.
Every 2 Education raises a single Technology level, which allows units to equip higher class equipments which are more efficient and / or stronger.
Every month each school is obliged to take the students for a walk ( περίπατος ), which is usually spontaneous, decided right before the first class and an educational excursion to a museum or theater etc.
Every class prepares a float which corresponds with the Homecoming theme or related theme of school spirit as assign by school administrators.
Every finite group is a subgroup of the mapping class group of a closed, orientable surface, moreover one can realize any finite group as the group of isometries of some compact Riemann surface.
Every year, over 400 events are taking place – including concerts, opera productions, class recitals and exam concerts.
Every and group
Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.
Every galaxy of sufficient mass in the Local Group has an associated group of globular clusters, and almost every large galaxy surveyed has been found to possess a system of globular clusters.
* Every Lie group is parallelizable, and hence an orientable manifold ( there is a bundle isomorphism between its tangent bundle and the product of itself with the tangent space at the identity )
Every instrumental group ( or section ) has a principal who is generally responsible for leading the group and playing orchestral solos.
* Every closed subgroup of a profinite group is itself profinite ; the topology arising from the profiniteness agrees with the subspace topology.
While he admits the existence of caste-based discrimination, he writes that " Every social group cannot be regarded as a race simply because we want to protect it against prejudice and discrimination ".
Every summer the group gathers in Newport, RI for week long dance training, seaside teas, and evenings enjoying the splendors of the Gilded Age.
* Every finitely generated group with a recursively enumerable presentation and insoluble word problem is a subgroup of a finitely presented group with insoluble word problem
Every synset contains a group of synonymous words or collocations ( a collocation is a sequence of words that go together to form a specific meaning, such as " car pool "); different senses of a word are in different synsets.
Every group can be trivially made into a topological group by considering it with the discrete topology ; such groups are called discrete groups.
Every topological group can be viewed as a uniform space in two ways ; the left uniformity turns all left multiplications into uniformly continuous maps while the right uniformity turns all right multiplications into uniformly continuous maps.
Every subgroup of a topological group is itself a topological group when given the subspace topology.
Every ten years, when the general census of population takes place, each citizen has to declare which linguistic group they belong or want to be aggregated to.
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