Theoretical basis of one-dimensional genome scanning: A direct method to identify the site of a mutation

1995 ◽  
Vol 16 (1) ◽  
pp. 174-178 ◽  
Author(s):  
Yoichi Gondo ◽  
Murray H. Brilliant
Keyword(s):  
Theoretical Basis ◽  
Direct Method ◽  
One Dimensional ◽  
Genome Scanning ◽  
A Direct Method

scholarly journals On a direct method for the determination of an exact invariant for the time-dependent harmonic oscillator

1977 ◽  
Vol 20 (1) ◽  
pp. 97-105 ◽  
Author(s):  
P. G. L. Leach
Keyword(s):  
Direct Method ◽  
Dynamical Symmetry ◽  
Time Dependent ◽  
Symmetry Groups ◽  
New Approach ◽  
One Dimensional ◽  
The One ◽  
A Direct Method ◽  
Exact Invariant

AbstractAn exact invariant is found for the one-dimensional oscillator with equation of motion . The method used is that of linear canonical transformations with time-dependent coeffcients. This is a new approach to the problem and has the advantage of simplicity. When f(t) and g(t) are zero, the invariant is related to the well-known Lewis invariant. The significance of extension to higher dimension of these results is indicated, in particular for the existence of non-invariance dynamical symmetry groups.

Crystal Structure of an Ammonium Dithiocyanatocuprate(I) Complex with 18-Crown-6, [NH4(18-Crown-6){Cu(NCS)2}] Obtained from Zero Valent Metal

1997 ◽  
Vol 52 (11) ◽  
pp. 1311-1314 ◽  
Author(s):  
Julia A. Manskaya ◽  
Volodimir N. Kokozay ◽  
Konstantin V. Domasevitch
Keyword(s):  
Crystal Structure ◽  
Direct Method ◽  
Orthorhombic Space Group ◽  
Space Group ◽  
One Dimensional ◽  
X Ray ◽  
X Ray Crystallography ◽  
A Direct Method

The new macrocyclic dithiocyanatocuprate(I) complex [NH4(18-crown-6){Cu(NCS)2}] has been prepared using a direct method of interaction and characterized by X-ray crystallography (orthorhombic, space group Cmc21, with a = 12.453(2), b = 21.650(4), c = 8.151(2) Å, V = 2197.6(8) Å3, Z = 4 , R1 (F) = 0.054; wR2(F2) = 0.141 for 972 unique reflections with I > 2σ(I) and R1(F) = 0.082; w/?2(F2) = 0.210 for all 1098 unique reflections). The lattice comprises complex cations [NH4(18-crown-6)]+ and infinite polymeric anions [Cu(NCS)2]- of a one-dimensional zig-zag structure. The copper atoms adopt three-fold coordination [CuN2S] (Cu-N 1,89( 1), 1,90( 1) Å; Cu-S 2.278(4) Å).

scholarly journals On the regularity of solutions of one-dimensional variational obstacle problems

2018 ◽  
Vol 11 (2) ◽  
pp. 203-222 ◽  
Author(s):  
Jean-Philippe Mandallena
Keyword(s):  
Partial Regularity ◽  
Direct Method ◽  
Variational Problems ◽  
Obstacle Problems ◽  
Regularity Of Solutions ◽  
Hölder Continuous ◽  
One Dimensional ◽  
A Direct Method

AbstractWe study the regularity of solutions of one-dimensional variational obstacle problems in {W^{1,1}} when the Lagrangian is locally Hölder continuous and globally elliptic. In the spirit of the work of Sychev [5, 6, 7], a direct method is presented for investigating such regularity problems with obstacles. This consists of introducing a general subclass {\mathcal{L}} of {W^{1,1}}, related in a certain way to one-dimensional variational obstacle problems, such that every function of {\mathcal{L}} has Tonelli’s partial regularity, and then to prove that, depending on the regularity of the obstacles, solutions of corresponding variational problems belong to {\mathcal{L}}. As an application of this direct method, we prove that if the obstacles are {C^{1,\sigma}}, then every Sobolev solution has Tonelli’s partial regularity.

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