![]() ![]() Seq – A Biopython sequence object or a string.Ĭheck – Checks if the sequence is valid for the given method (default= With default parameters gives (essentially) the same results. However, recommended to use Tm_NN instead, since Tm_staluc may be depreceated Tm_staluc is the ‘old’ NN calculation and is kept for compatibility. Several tablesįor DNA/DNA, DNA/RNA and RNA/RNA hybridizations are included.Ĭorrection for mismatches, dangling ends, salt concentration and other Tm_NN: Calculation based on nearest neighbor thermodynamics. Tm_GC: Empirical formulas based on GC content. This module contains three different methods to calculate the melting ![]() Calculate the melting temperature of nucleotide sequences. The lrsas parameter was introduced in Maple 16.įor more information on Maple 16 changes, see Updates in Maple 16. The RegularChains command was introduced in Maple 16. Proceedings of 2011 International Symposium on Symbolic and Algebraic Computation (ISSAC 2011), ACM Press, pp. "Computing with semi-algebraic sets represented by triangular decomposition". ![]() "Comprehensive Triangular Decomposition". ĭifference compl, expected, Rĭifference expected, compl, RĬhen, C. Verify compl = expected as set of points by Difference. Out ≔ regular_semi_algebraic_system, regular_semi_algebraic_systemĬompl ≔ regular_semi_algebraic_system, regular_semi_algebraic_system, regular_semi_algebraic_systemĮxpected ≔ a 2 − c a − a ≠ 0, a − c ≤ 0Įxpected ≔ map t → op RealTriangularize t, R, expectedĮxpected ≔ regular_semi_algebraic_system, regular_semi_algebraic_system, regular_semi_algebraic_system IsContained cs, com_com_cs, R and IsContained com_com_cs, cs, R If you call Complement twice, you should retrieve the constructible set cs. , d a − b c, d, d, c, b, a, b, d, a, b, d, c The complement of cs should be those points that make the linear equations have no common solutions. Therefore, four regular systems encode this projection in the parameter space. Project the variety defined by F and G onto the parameter space.Ĭs ≔ Projection F, G, 4, Rĭ a − c b, d, b, b, d, a, c, d, 1, a, b, c, d, 1 The goal is to determine for which parameter values of a, b, c and d the generic linear equations F and G have solutions. įirst define the polynomial ring R and two polynomials of R. It can always be accessed through one of the following long forms: RegularChains or RegularChains. This command is available once RegularChains submodule or RegularChains submodule have been loaded. The empty constructible set represents the empty set of K n. ![]() The empty semi-algebraic set is encoded by the empty list. The polynomial ring must have characteristic zero. The command Complement(lrsas, R) returns the complement of the semi-algebraic set represented by lrsas (see RealTriangularize for this representation). The polynomial ring may have characteristic zero or a prime characteristic. If K is the algebraic closure of the coefficient field of R and n is the number of variables in R, then this affine space is K n. The command Complement(cs, R) returns the complement of the constructible set cs in the affine space associated with R. Compute the complement of a constructible setĬompute the complement of a semi-algebraic set ![]()
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