Examples of the the word, extension , in a Sentence Context

The word ( extension ), is the 1795 most frequently used in English word vocabulary

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  1. And only if it has no proper algebraic extension . If F has no proper algebraic, extension , let p (x) be some irreducible polynomial in FX. Then the quotient of FX
  2. Of all automorphism of L fixing K pointwise is called the Galois group of the, extension , * In graph theory an automorphism of a graph is a permutation of the nodes
  3. In his 1657 Lexicon Chemical glosses the word as ammonium five stadium. By, extension , the word came to refer to any fluid obtained by distillation, including "
  4. Isomorphic. And **The Hahn–Banach theorem in functional analysis, allowing the, extension ,of linear functional **The theorem that every Hilbert space has an orthonormal
  5. The Muslim World. Among the important accomplishments of the Parliament was the, extension ,of suffrage to women, making Azerbaijan the first Muslim nation to grant women
  6. Big Diomedes Island and Alaskan Little Diomedes Island are only apart. With the, extension ,of the Aleutian Islands into the eastern hemisphere, it is technically both the
  7. In this period include Myself. In the 1950s and 1960s during the vast, extension ,and development of Athens, modern architecture played a very important role.
  8. A root in F, thus F is algebraically closed. The field has no proper algebraic, extension ,The field F is algebraically closed if and only if it has no proper algebraic
  9. The official deadline for filing an individual tax return (or requesting an, extension ,). (United States, Philippines ) External links *
  10. The first electron–positron collider * Advanced Distribution Automation,the, extension ,of intelligent control over an electrical power grid * After the Development of
  11. Agriculture project was headed for completion with apparently no prospects for, extension ,beyond 2011. During the first 11 months of 2006,net imports grew by 21 percent
  12. For Schopenhauer, human desire was futile, illogical,directionless, and,by, extension , so was all human action in the world. To Schopenhauer, the Will is a
  13. The degree of p (x) is 1. On the other hand, if F has some proper algebraic, extension ,K, then the minimal polynomial of an element in K \ F is irreducible and its
  14. Of this criticism is that" O-Sensei’s aikido was not a continuation and, extension ,of the old and has a distinct discontinuity with past martial and philosophical
  15. Then the quotient of FX modulo the ideal generated by p (x) is an algebraic, extension ,of F whose degree is equal to the degree of p (x). Since it is not a proper
  16. Apollo 11. The astronauts then collected rock samples using scoops and tongs on, extension ,handles. Many of the surface activities took longer than expected, so they had
  17. The field F is algebraically closed if and only if it has no proper algebraic, extension , If F has no proper algebraic extension , let p (x) be some irreducible
  18. Of field extension s, in particular Galois extension s. In the case of a Galois, extension ,L/K the subgroup of all automorphism of L fixing K pointwise is called the
  19. Strong, masculine chin with a high nose that has a high bridge as a natural, extension ,of the forehead. The eyes typically are somewhat deeply set. The unsmiling lips
  20. Of F whose degree is equal to the degree of p (x). Since it is not a proper, extension , its degree is 1 and therefore the degree of p (x) is 1. On the other hand
  21. Throughout the walk, Mission Control granted the astronauts a 15-minute, extension , Lunar ascent and return Aldrin entered Eagle first. With some difficulty the
  22. Library, a compiler library for AMD multicore processors *APL, file, extension , of the Monkey's Audio metadata file Software licenses *Adaptive Public License
  23. Zeroes of the polynomial in − 1. A field extension that is contained in an, extension ,generated by the roots of unity is a cyclotomic extension , and the extension of
  24. Axiomatic set theory like Von Neumann–Bernays–Gödel set theory, a conservative, extension ,of ZFC. Sometimes slightly stronger theories such as Morse-Kelley set theory or
  25. Closed field with characteristic p when p > N. Every field F has some, extension ,which is algebraically closed. Among all such extension s there is one and (up
  26. These currents influence adjacent land areas. The Gulf Stream and its northern, extension ,towards Europe, the North Atlantic Drift, for example, warms the atmosphere of
  27. Cone, which is at the tip of the axon. The growth cone has a broad sheet like, extension ,called lamellipodia which contain protrusions called filopodia. The filopodia
  28. To the east. Beyond Mount Aigaleo lies the Thracian plain, which forms an, extension ,of the central plain to the west. The Sardonic Gulf lies in the southwest. Mount
  29. Is irreducible and its degree is greater than 1. The field has no proper finite, extension ,The field F is algebraically closed if and only if it has no finite algebraic
  30. An extension generated by the roots of unity is a cyclotomic extension , and the, extension ,of a field generated by all roots of unity is sometimes called its cyclotomic
  31. Over the heads of the Church in South Africa, demonstrated acutely that the, extension ,of episcopacy had to be accompanied by a recognized Anglican ecclesiology of
  32. Less effective at empathizing by handling events generated by other agents. An, extension , the extreme male brain theory, hypothesizes that autism is an extreme case of
  33. A third expressway, the Northern Expressway (formerly the Start Highway, extension ,),a northern suburb bypass route—connecting the Gawker Bypass to Port
  34. The field F is algebraically closed if and only if it has no finite algebraic, extension ,because if, within the previous proof, the word“ algebraic” is replaced by
  35. Is contained in an extension generated by the roots of unity is a cyclotomic, extension , and the extension of a field generated by all roots of unity is sometimes
  36. The familiar hunting companion of Artemis, no stranger. In an embroidered, extension ,of the myth, the hounds were so upset with their master's death, that Chiron
  37. The n (not necessarily distinct) zeroes of the polynomial in − 1. A field, extension ,that is contained in an extension generated by the roots of unity is a
  38. To attack Compass, so an agreement was reached with the Second Triumvirate's, extension ,for another five-year period beginning in 37 BC. In supporting Octavian, Antony
  39. Package that defines them. Ada 95 adds additional features for object-oriented, extension ,of types. Control structures Ada is a structured programming language, meaning
  40. There is one and (up to isomorphism) only one which is an algebraic, extension ,of F; it is called the algebraic closure of F. Notes Events *1284 – The
  41. Pamela, and Franklin's autobiography. In particle physics, antimatter is the, extension ,of the concept of the antiparticle to matter, where antimatter is composed of
  42. Of an oblong gallery. Benedictine monasteries Monasticism in the West owes its, extension ,and development to Benedict of Núria (born AD 480). His rule was diffused
  43. Whigs, and that I am an abolitionist, even though I do no more than oppose the, extension ,of slavery. " Drawing on remnants of the old Whig party, and on disenchanted
  44. Andean region cuts across several natural and florist regions due to is large, extension ,from Caribbean Venezuela to cold, windy and wet Cape Horn passing through
  45. Industrial, although a large recreational marina is situated south of it as an, extension , While some of the highest points in Denmark are close to the city, the general
  46. And tradition as vitally important, but secondary, authorities. Finally,the, extension ,of Anglicanism into non-English cultures, the growing diversity of prayer books
  47. Be considered in its own right a part of the Sac Prairie Saga, as well as an, extension ,of Derleth's body of mystery fiction. Robert Hood, writing in the New York
  48. That all tetrapods appear to hold their necks at the maximum possible vertical, extension ,when in a normal, alert posture, and argued that the same would hold true for
  49. On alms ". This note describes the evolution of the notion of alms (and by, extension ,of altruism) from the notion of sacrifice. Alms are the fruits of a moral
  50. Slavery, starting with debates on the three-fifths clause and a twenty-year, extension ,of the African slave trade in the Constitutional Convention of 1787. The 1793

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