1. Factorization of this equation by trial and error is not possible.

2. A novel method based on factorization and bundle adjustment asas its principle and implementation is presented.

3. Non-negative matrix factorization has non-negative and local characteristics, and it is a new feature extraction method.

4. The matrix factorization and its modification is one of the most effective techniques in numerical linear algebra.

5. The second, we study the factorization of entire function in the condition of composition of functions, and obtain the necessary conditions of some pseudo-prime or E - pseudo - prime functions.

6. Absrtact: Non- negative matrix factorization(NMF)is a method of parts- based feature extraction, it has been already applied to face recognition successfully.

7. Meanwhile, by polyphase factorization, it was proved that the low - pass filter satisfies perfect reconstruction condition.

8. It can avoid approximate factorization or block-bidiagonal matrix, and has obvious superiority in enhancing accuracy, lessening amount of calculation, improving stability.

8. try its best to gather and build good sentences.

9. A method of applying Non - negative Matrix Factorization ( NMF ) group strategy for face recognition is put forward.

10. Non - negative matrix factorization ( NMF ) has been proposed for multivariate data analysis, with non - negativity constraints.

11. Results A factorization discriminance of exponential distribution family was obtained, moreover good properties of exponential distribution family were established.

12. This factorization is unique, known as prime decomposition (prime factorization).

13. In addition, the formulas of the full rank factorization, rank factorization and generalized inverse of row (column) antisymmetric matrix are given, which make calculation easier and accurate.

14. The conservative full - potential equation is solved by a time - accurate approximate factorization algorithm and internal Newton iterations.

15. It is known by correlation with drilling data that the spectral factorization can describe the boundaries of strong reflection and weak reflection in different frequencies.

16. When there is occlusion, it chose three of the images' sequence with factorization to get the structure. Then it can use this structure to do the validity check for outliers.

17. And in the feature extraction process, a new face recognition method based on CSVD and non Negative Matrix Factorization(NMF) is presented.

18. To some extent, we can also prevent the third party to garble the transmission message through this scheme. The security of the algorithm is built upon the difficulty of big integer factorization.

19. A unitary matrix extension method of the corresponding vectors, obtained from multiple channel low-pass filters by polyphase factorization, is proposed.

20. For estimating the model parameters, the method, in which error covariance matrix P(K) is recursively factorized with U-D factorization technique on the basis of RCKE algorithm, is adopted.

21. Features of the index number of odd perfect number are obtained by utilizing number's standard factorization.

22. The safe of RSA algorithm based on difficulty in the factorization.

23. The feasibility to apply the algorithm of non - negative matrix factorization on intrusion detection is demonstrated.

24. If the transform matrix type is a half pixel matrix, then the method includes applying a factorization technique to decode the bit stream corresponding to the half pixel matrix.

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

26. The performance of multifrontal method is evaluated and compared with direct sparse factorization method through load flow calculation and transient stability simulation using IEEE benchmark data.

27. In the process of Kalmsn filtering, our algorithm uses the sequential process and the U-D covariance factorization technique to improve the computing speed and numeric stability of filtering.

28. An attacker could generate a forged signature on the assumption when the factorization problem is solved.

29. They could be solved speedily by means of the sparse technique based triangular factorization.

30. PARI is a fast-running C library of symbolic functions for factorization, algebraic number theory, elliptic curves, matrices, and transcendental functions.

31. By unique factorization, the ideal ( f ) is prime.

32. General solutions of above inverse problem in positive definite matrix and in orthogonal matrix are given here by using factorization method of matrix.

33. RSA' s security relies on the factorization of large numbers, but not theoretically prove the difficulty of deciphering the RSA and the difficulty of large integer equivalent.

34. A parameterization formula to construct a simultaneously stabilizing controller is obtained based on factorization.

34.

35. In this paper, the concept and the results of perfect number are being discussed. Features of the index number of odd perfect number are obtained by utilizing number's standard factorization.

36. At the same ti me , its corresponding QR factorization method was also presented.

37. The paper propose the complex value U-D factorization based least square method to improve the numerical stability and the fault feature are obtained.

38. A conclusion on rational root of one variable polynomial with integer coefficient is generalized and a method on multivariate polynomial factorization is put forward.

39. The factorization theory of meromorphic and entire functions is one of interesting problems in complex analytic function theory.

40. To ensure the credibility, author also adopts historicism and factorization.

41. Methods A simple method for distinguishing of exponential distribution family is obtained based on factorization theorem.