1. There are 120 permutations of the numbers 1, 2, 3, 4 and 5: for example, 1, 3, 2, 4, 5 or 5, 1, 4, 2, 3.

2. The permutations of x, y and z are xyz, xzy, yxz, yzx, zxy, zyx.

3. Variation among humans is limited to the possible permutations of our genes.

4. The possible permutations of x, y and z are xyz, xzy, yxz, yzx, zxy and zyx.

5. These permutations multiply towards infinity.

6. The 14 different dinners are mostly permutations of beef, chicken, noodles, and rice.

7. In one permutation, Panetta would not challenge Feinstein if she ran for governor.

8. This work organised the known theory of permutation groups and its relationship with Galois Theory.

9. The permutations available from using an unrestricted number of vectors are too vast to provide a database matching scheme.

10. But now, because of complex permutations resulting from an equally involved scoring system, the odds are stacking up against Conner.

11. Such a permutation is called a derangement.

12. Unique because that particular permutation has not appeared before.

13. Perform the following permutation on the data block.

14. The block cipher with a substitution permutation network is the best known and widely used block cipher system.

15. This paper proposes a matrix based substitution permutation network as the model of block cipher.

16. The recurrence formula of the permutation numbers of the players of then person game is also deduced.

17. He made six separate applications for a total of 39 000 shares, using permutations of his surname and Christian names.http:///permutation.html

18. The company has had five different names in its various permutations over the last few years.

19. Mathematicians of the finest calibre were essential for what then seemed the almost impossible task of breaking a code with astronomical permutations.

20. Formulations are varied because there are three ways of achieving the same capability with combinations and permutations.

21. And that was not the end of it, for there were permutations.

22. But the film goes on to develop graphic, orifice-stuffing permutations on the theme of you are what you eat.

23. And, of course, such fragments have been made to convey many permutations of these uses.

24. The complexity of the system depends on the number of permutations of hose length available.

25. Norman Higham's book contains a discussion of the various permutations possible, together with some advice from experience.

26. It has been estimated that there are 26 possible permutations of step-family formation.

27. We also present two new cryptographic indexes, fixed point and cyclic structure, on which we investigate the performance of such permutation.

28. This paper deals with orthodox semirings whose additive idempotents satisfy permutation identities.

29. Specially have steel board adjustment function, graphic scale, rotate, mirror image, matrix permutation, idling, select line or line number, etc, Which will frequently be used in daily work.

30. The data compressing method based on constant grade makes use of permutation and combination theory.

31. In this paper, a new sorting algorithm consisted of classification, in situ permutation and straight insertion is presented.

32. There were 3 subluxations in unpermutation group and 5 in permutation group after patellar replacement.

33. Cyclic shift permutation structure is an important part of partial parallel decoder for quasi-cyclic LDPC codes.

34. Don't use ALL: One of the most common mistakes is to grant all-- access to all commands, access to all users, or any other permutation.

35. This paper introduces a completely nonsingular matrix based substitution permutation network that can effectively improve the performance of the block cipher against linear cryptanalysis.

36. The invention involves the integrated circuit package domain, to be specific, involves when galvanizes to the base pin, prevents the permutation reaction the method.

37. The permutation of the finite set is introduced into the denumerable set as well as the definition of the basic rotation(), the rotation and the composition of the countability.

38. With each recursive step, cross products with one additional Permutation Group are formed.

39. Not changing the Video Conference protocols in existence, we embed a good encryption algorithm (Permutation Code) in the system to safeguard the information of Multimedia.

40. Secondly, a type of interleaver based on permutation polynomial over integer rings is studied and its related mathematical theorem and design criterion are presented.

41. To present a new application of permutation entropy method for automatic brain consciousness task classification.

42. He thinks, advocate board some parts " can't bear uglily ", he wants to change one's costume or dress advocate board, make the permutation of chip and circuit more beautiful.

43. However, the computing process is very tedious, because the permutation distribution has to be recomputed every time we subtract a different parameter.

44. This article discusses the development of cryptography and presents the features and functions of the permutation matrix in the common algorithm.

45. To extract additional information from votes, the CBM uses multiple feature matrices, probability feature matrices, vectors and permutation group as basic components.

46. Meanwhile, the article also put forward such corresponding techniques as readjustment of word and focus permutation.

47. According to the property that all states of a certain cellular automata can build a permutation group, we can design block cipher based on this property.

48. On the dialectic point of view, the influences of Cauchy's systematical study on the theory of permutation to understanding Galois Theory to mathematicians in France are appraised.

49. By means of analyzing the equivalence relation of reversible gate logic network to permutation group, the reversible gate network cascade was converted into the cycle of symmetric group.

50. A novel multimedia extension architecture was proposed to reduce the time overhead of data permutation caused by conventional SIMD multimedia extension architecture.

51. Based on this model, a new crypt structure called completely nonsingular matrix based substitution permutation network is designed.

52. By introducing the original permutation and the region, the conception of single permutation is proposed.

53. The permutation is even if the number of inversions it contains is even.

54. The traditional subsampling based information hiding algorithm can not resist the permutation attack. In this paper, an improved algorithm is proposed to resist the permutation attack.

55. Furthermore, in this thesis, we study a problem on the bit permutation network.

56. More important is, look from the angle of electronics, they think new permutation cannot be run.

57. Module of decipherment in software frame takes charge of converting from such kind of permutation and combination to actual codes in computer language and executing them.

58. In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.

59. Every sort of permutation and combination is possible in human nature.

60. All forms of life are created by the different permutation and combination of these basic pairs.

61. Standard genetic operators are not always suitable for task matching and scheduling based on permutation representation.

62. Results Under optical microscope, the bone lacunae were in circular permutation around the Haversian canal, and the canaliculi communicated the lacunae and Haversian canal or between the lacunae.

63. In order to solve the problem of complete system of orthogonal Latin squares, relation between Latin square and permutation groups is discussed by using method of algebra.

64. The expressions of the chromatic function and the chromatic weight polynomial of a P-graph about a permutation group H are established, de Bruijn s Theorem follows from th.

65. The upper bound of the differential probability is developed for the completely nonsingular matrix based substitution permutation network.

66. Permutation code broke through the traditional concept of block algorithm, and improved the encrypt intensity greatly.

67. Noticing that the Latin square has order like permutation and combination, this paper gives algorithm of searching standard Latin square fellowing this order.

68. Then supplies realization of Encryption Chip based on Permutation Code by EDA, and integrates the modular of signal gathering so the chip can be used in voice communication encryption.

69. IQ switching can support high speed permutation with low cost.

70. Interlacer, coding device, permutation method, coding method, decoding device and method and systems using them.

71. Applying permutation matrix, the association and the system isomorphism between contractual relationship modeling in theory and its operation in practice were verified.

72. Write a random permutation of the input lines to standard output.

73. This paper will discuss the application of RF card in access control system, a series of new technology including Permutation Code is used to solve the safety problem.

74. With the formation of protoplasm by sheer permutation & combination of atoms, the life began here.

75. The Permutation representation and the matrix representation of a finite volume hypergroups were given in this paper by the left translation action of the finite volume hypergroups.

76. In this paper, a permutation code security algorithm based on the block cipher that is widely used in the data transmission system is put up after carefully studied the current encryption methods.

77. We start by forming an ArrayList containing a set of ArrayLists, in which each of the constituent ArrayLists contains exactly one element of the first Permutation Group.

77. try its best to collect and create good sentences.

78. From microscopic viewpoint, the permutation of soil grain is studied via the scanning electron microscope, which reveals the moisture transfer characteristic of aeolian soil.

79. We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix.

80. The bridge is a "horizontal high rise structure", that due to its relentless horizontality is constantly open to any permutation with the surrounding site.

81. Investigation shows that the scheme is provable security under the blockwise adaptive attack model if the underlying block cipher is a pseudorandom permutation.

82. This paper makes use permutation method in the calculation of roundness error fitting the minimum conditions.

83. The symmetry group is the permutation group acting to exchange particles of the same type.

84. So now you've got to use the type detailed in Listing 5, and notate every possible permutation of the words "true" and "false" in relation to capitalization.

85. So, a new sorting algorithm consisted of classification, in situ permutation and straight insertion is presented in this paper.

86. A sort of 3-element permutation with repetitions allowed is studied, and a recurrence relation in general condition is found.

87. Using gamma function, the paper popularized the common conceptions of the usual factorial, permutation and combination and proved some combination formulas in common use.

88. The results indicate that the permutation and combination of kerosene and decyl alcohol extracting nickel citrate from wastewater is the best.

89. Using the quantum parallel process and quantum permutation orations , the circuit implementation of quantum binary searching algorithm is presented.

90. A permutation group approach to a one dimensional Heisenberg open spin 12 chain with nearest neighbor interactions is studied.

91. Other enumeration problems lead us to the study of orbits of permutation groups.

92. Objective To study the method of the artificial thigh bone permutation perioperatively for advanced age.

93. We can use the ways of sentence-type changing, words permutation, words adding, words changing and concrete context to disambiguate.

94. Put forward a planner permutation network by using the ergodic and good relativity of Chebyshev-map chaos sequence, and the time complexity and analyzed permutation character of permutation network.

95. In order to solve the issue of independent task scheduling in grid environment, a model of task scheduling based on permutation tree pruning is proposed.

96. An ant colony optimization based algorithm for permutation flow shop scheduling was proposed.

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

98. Therefore, using large completely nonsingular matrix based substitution permutation networks can effectively improve cipher security in relation to differential cryptanalysis.

99. The routing algorithm for alternating group networks and shuffle-exchange permutation networks.