A C 1 (time independent) flow is a function f: R × M → M such that it has continuous first partial derivatives, for each t ∈ R f t : M → M is a diffeomorphism, and it satisfie... J Palis,S Smale 被引量: 484发表: 1976年...
We consider two sequences in Zp to be identical if they only differ by the order of their elements and, for convenience, we will use the notation [a1]α1[a2]α2…[at]αt to denote a sequence in Zp where each element ai appears αi times....
Mathcad contains numerous keywords and modifiers. By applying them, you can control the form and content of the displayed result. You can use symbolic evaluation to evaluate expressions containing operators, including integrals, derivatives, matrix operations, most matrix functions, summations, and produ...
derivatives or integrals 129 Functions deined by derivatives 129 Functions deined by integrals 132 8 Advanced Graphing app 134 Getting started with the Advanced Graphing app 136 Opening the Advanced Graphing app 136 Deining an open sentence 137 Setting up the plot 137 Plotting the selected deinitions...
Notes on Debian (and likely, on derivatives like Ubuntu) If your distribution is recent enough, or includes new enough apt sources, this may be sufficient (run as root): apt-get build-dep bup Otherwise try this: apt-get install python3-dev python3-fuse apt-get install python3-pyxattr py...
As we already mentioned, the functional expansion method supposes two different expansions: one in terms of various powers of the derivatives 𝐺′(𝜉)G′(ξ), and one in the chosen form of the functionals 𝑃𝑖(𝐺)Pi(G). This fact automatically leads to two balancing procedures: ...
Table 1. The sequence (only the strands containing a DNA lesion have been shown) and corresponding oligonucleotide notation with DNA damage abundance per nucleotide (nt) or (a) guanosine (Gua) in cells, and vertical/adiabatic ionization potential (V/AIP) in eV calculated at the M06-2x/6-31...
Based on their wide range of biological activities, the development of a variety of synthetic routes is worthwhile, and generation of new triazole derivatives is beneficial. The synthesis of 1,2,3-triazoles, for example, involves 1,3-dipolar cycloaddition in the presence of copper iodide [15],...