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The chelate effect increases as the number of chelate rings increases. For example, the complex [Ni(dien) 2)] 2+ is more stable than the complex [Ni(en) 3)] 2+; both complexes are octahedral with six nitrogen atoms around the nickel ion, but dien (diethylenetriamine, 1,4,7-triazaheptane) is a tridentate ligand and en is bidentate. The number of ...
Let be a Banach space, let ′ be the dual space of , let : ′ be a linear map, and let ′.A vector is a solution of the equation = if and only if for all , () = ().A particular choice of is called a test vector (in general) or a test function (if is a function space).
In mathematics, specifically Homological algebra, a double complex is a generalization of a chain complex where instead of having a -grading, the objects in the bicomplex have a -grading. The most general definition of a double complex, or a bicomplex, is given with objects in an additive category A {\displaystyle {\mathcal {A}}} .
In complex analysis, Liouville's theorem, named after Joseph Liouville (although the theorem was first proven by Cauchy in 1844 [1]), states that every bounded entire function must be constant.
Image credits: Kangaroowrangler_02 #11. The most extreme thing I do is camp in my car two days a week. I work out of town three days a week and so rather than drive home or rent a room I go to a ...
The U.S. Preventive Services Task Force released a draft recommendation advising against using vitamin D to prevent falls and fractures in people over 60. Pharmacist Katy Dubinsky weighs in.
But the solution at z = 0 is identical to the solution we obtained for the point x = 0, if we replace each γ by α + β − γ + 1. Hence, to get the solutions, we just make this substitution in the previous results. For x = 0, c 1 = 0 and c 2 = 1 − γ. Hence, in our case, c 1 = 0 while c 2 = γ − α − β. Let us now write the solutions.