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Page "Congruent number" ¶ 6
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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 element of is a member of the equivalence 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 set is a class, no matter which foundation is chosen.
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 noun belongs to a unique number class.
Every class had a taste for beer and rum.
Every unique cultivar has a unique name within its denomination class ( which is almost always the genus ).
Every year, Skull and Bones selects fifteen men ( only ) of the junior class to join the society.
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 class can carry a primary and secondary weapon, which are organized into " kits ".
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 character class is referred to as " Shaper " in-game.
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 class in Raffles Institution has its own Class Executive Committee ( CEC ).
Every class of MBBS students has assigned to itself a name denoting the year of entry.
Every member of the class participates as a sailor, soldier or minuet dancer.

Every and group
Every finite simple group is isomorphic to one of the following groups:
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 group G acts on G, i. e. in two natural but essentially different ways:, or.
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 local group is required to have a seneschal who reports to the kingdom's seneschal.
Every local group is required to have one.
* Every topological group is completely regular.
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 group is naturally isomorphic to its opposite group "
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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