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Coumarin (/ ˈ k uː m ər ɪ n /) or 2H-chromen-2-one is an aromatic organic chemical compound with formula C 9 H 6 O 2.Its molecule can be described as a benzene molecule with two adjacent hydrogen atoms replaced by an unsaturated lactone ring −(CH)=(CH)−(C=O)−O−, forming a second six-membered heterocycle that shares two carbons with the benzene ring.
Let x 1 and x 2 be the vector positions of the two bodies, and m 1 and m 2 be their masses. The goal is to determine the trajectories x 1 ( t ) and x 2 ( t ) for all times t , given the initial positions x 1 ( t = 0) and x 2 ( t = 0) and the initial velocities v 1 ( t = 0) and v 2 ( t = 0) .
The product logarithm Lambert W function plotted in the complex plane from −2 − 2i to 2 + 2i The graph of y = W(x) for real x < 6 and y > −4.The upper branch (blue) with y ≥ −1 is the graph of the function W 0 (principal branch), the lower branch (magenta) with y ≤ −1 is the graph of the function W −1.
The main elements that comprise the human body (including water) can be summarized as CHNOPS. Element Symbol percent mass percent atoms Oxygen O 65.0 24.0 Carbon C 18.5 12.0 Hydrogen H 9.5 62.0 Nitrogen N 2.6 1.1 Calcium Ca 1.3 0.22 Phosphorus P 0.6 0.22 Sulfur S 0.3 0.038 Potassium K 0.2 0.03 Sodium Na 0.2 0.037 Chlorine Cl 0.2 0.024 Magnesium Mg
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.
A 1,2-rearrangement or 1,2-migration or 1,2-shift or Whitmore 1,2-shift [1] is an organic reaction where a substituent moves from one atom to another atom in a chemical compound. In a 1,2 shift the movement involves two adjacent atoms but moves over larger distances are possible. In the example below the substituent R moves from carbon atom C 2 ...
A slight generalization of central binomial coefficients is to take them as (+) (+) = (+,), with appropriate real numbers n, where () is the gamma function and (,) is the beta function. The powers of two that divide the central binomial coefficients are given by Gould's sequence , whose n th element is the number of odd integers in row n of ...
Chemical Structure of Type I Collagen. Type I collagen has a triple-helical form which is caused by its amino acid composition. Its specific domain follows an order of G-X-Y In which the X and Y slots are occupied by any amino acid other than glycine however these slots are typically occupied by both hydroxyproline and proline, not in any particular order. [5]