1. A few simple shapes are the irreducible forms from which all of the patterns are generated.

2. It is the irreducible seat of strength.

3. To follow this, an irreducible minimum of biochemical knowledge is necessary.

4. It is imagination, and the irreducible sovereignty of the individual which engender disequilibrium and tension.

5. This is the irreducible minimum Christians have always believed.

6. Let me first address this concept of irreducible complexity.

7. PDF - Irreducible polynomials with the primitive polynomial.

8. NMR Logging can provide accurate values of irreducible liquid, movable liquid, effective porosity and permeability, and also identify the tight zone, water zone and gas-bearing zone.

9. The present paper covers some irreducible representations of braid groups obtained by the Yang diagram method.

10. In this paper, the irreducible tensor basis method in group representation theory is studied further.

11. Then , it analyzes the irreducible water existence style, original oil saturation and minimum oil - radius.

12. Traditional parallelized compiler techniques use node splitting irreducible loops reducible, but will make code duplicate inevitably.

13. The condition that irreducible matrix or the matrix with nonzero elements chain is H-matrix is derived.

14. The method of deducing Pythagorean Triples ( irreducible and reducible ) is explained.

15. It is known that every irreducible doubly nonnegative matrix has a doubly stochastic pattern.

16. The rotation vibration spectra can be classified using irreducible representation of group U(5) for the triatomic molecule.

17. Therefore, the irreducible warp of the brane acts like a cosmological constant(), which speeds up cosmic expansion.

18. Expenditure on road repairs has been cut to an irreducible minimum.

19. There is now quite a large lump in his groin which his General Practitioner diagnoses as an irreducible right inguinal hernia.

20. Amid all these fantasies and equivocations, however, there were two irreducible facts: death and Judith.

21. In James, it is civilized, social man negotiating and experiencing a world of irreducible ambivalence and complexity.

22. As many congenital abnormalities can be prevented, these developmental defects should not be considered an irreducible component of perinatal mortality.

23. From the point of view of demand management, therefore, frictional and structural unemployment is an irreducible minimum unemployment rate.

24. In this note, a constructive theorem for normal SM—algebra is given, and as applications of this theorem, Subdirectly irreducible normal SM—algebras and injective SM—algebras are also given.

25. Finally, based on the structure theorem, we obtain some characterizations of subdirectly irreducible, simple and strictly simple conical idempotent residuated lattices.

26. The two-component forms are adopted. By using the time-displacement operators and rearranging the irreducible kernel the equal-time equation of the two-component complex scalar field is established.

27. Aim It is aimed at finding out the solution to judging an irreducible matrix as an H-matrices.

28. All parts are hard to wear, and the maintenance cost has been cut to an irreducible minimum. The working life can improve an advance of 30% in general.

29. A complete lattice L is called a C-lattice iff it is distributive and has a base consisting of irreducible elements.

30. A new high regular structure of partial parallel multiplier for irreducible trinomial generated finite field is proposed.

31. Summary of Background Data . Irreducible atlantoaxial dislocation is typically a chronic process that requires surgical treatment.

32. The Helmholtz free energy expansion of the Rochelle salt crystal is obtained by the basis function of the irreducible representations ofthe paraelectric phase group D2.

33. That which is irreducible to the self begins to come into focus e-e-e-e and a way of expressing this is to say e-e-e-e which is perhaps in some way or another a mask or a simulacrum of he-he-he-he.

34. Aim aimed at finding out the solution to judging an irreducible matrix as an H - matrices.

35. Most important, omega supplies us with an infinite number of these irreducible bits.

36. Unlust, on the other hand, is what remains unassimilable, irreducible to the pleasure principle.

37. We give a method of determining irreducible polynomials over a unique factorization domain.

38. Consequently a practical algorithm is provided for spread spectrum communication and channel code to use irreducible polynomials.

39. Futures used to be called commodities, the irreducible building blocks of the economy.

40. A British historian, Herbert Butterfield, called this the “absolute predicament and irreducible dilemma”.

41. Our estimate k - 17 reference your 18 th price irreducible as marker cost increase hardly accepted.

42. An " irreducible " element is one that can not be quantified.

43. By indirectly applying the Eisenstein discriminant method, this paper explores and discusses two ways of judging the integral coefficients polynomials to be irreducible over the rational number field.

44. The calculation of characters of group representation is the basis of studying the irreducible representation of groups.

45. Other advantages include ease of reconstruction of the comminuted irreducible intra-articular fracture,() and in delayed reconstruction of intra- and extra-articular fractures.

46. The stinkiness of poop is not an irreducible fact about the universe.

47. A complete lattice L is called a C-lattice iff it is distributive and has a base consisting of irreducible elements. Some properties of C-lattices have been discussed in this paper.

48. Spectral radius is an important global characteristics of an irreducible Markov chain.

49. To have at least one sheep constituted an irreducible minimum, a sufficient condition for the activity to occur.

50. It is the metaphor for individuality: atomic. It is the irreducible seat of strength.

51. In this paper, we give some conditions that a subdirectly irreducible ring is a primitive ring, simple ring with identity, full matrix ring, or a division ring.

52. All elements of the organic whole were integrally linked as expressions of an irreducible essence.

53. Expenditure on road repair has been cut to an irreducible minimum.

54. Objective To investigate the traumatic pathologic cause, treatment and prognosis in the irreducible dislocation of the proximal interphalangeal joint.

55. The special matrices included inverse M - matrices, inverse Z - matrices, tridiagonal matrices and nonnegative irreducible matrices.

56. The subdirectly irreducible Clifford semigroups are characterized by means of the structure of congruence.

57. Character is used to mark the non-equivalent irreducible representation in group representation.

58. The total antisymmetric basis functions are constructed for irreducible representation of S3 permutation group from nine- dimensional hyperspherical harmonics.

59. Let us by all means see how much of the physicalistic conceptual scheme can be reduced to a phenomenalistic one; still, physics also naturally demands pursuing(sentence dictionary), irreducible in toto though it be.