Search results
Results From The WOW.Com Content Network
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
fold.it download page Archived 2011-04-04 at the Wayback Machine: FoldX: I Yes Yes No No No No No No Energy calculations, protein design Proprietary, commercial or gratis CRG: GROMACS: No No Yes Yes No [2] Yes I Yes [3] Yes High performance MD Free open source GNU GPL: gromacs.org: GROMOS: No No Yes Yes Yes Yes Yes Yes Yes Intended for biomolecules
In mathematical physics, the Hunter–Saxton equation [1] (+) =is an integrable PDE that arises in the theoretical study of nematic liquid crystals.If the molecules in the liquid crystal are initially all aligned, and some of them are then wiggled slightly, this disturbance in orientation will propagate through the crystal, and the Hunter–Saxton equation describes certain aspects of such ...
Then multiplying the numerator and denominator inside the square root by (1 + cos θ) and using Pythagorean identities leads to: = + . Also, if the numerator and denominator are both multiplied by (1 - cos θ), the result is:
Psi is an ab initio computational chemistry package originally written by the research group of Henry F. Schaefer, III (University of Georgia). Utilizing Psi, one can perform a calculation on a molecular system with various kinds of methods such as Hartree-Fock , Post-Hartree–Fock electron correlation methods, and density functional theory .
Animation of a wave-packet solution of the Eckhaus equation. The blue line is the real part of the solution, the red line is the imaginary part and the black line is the wave envelope (absolute value).
where ^ is the unit vector defining the y-axis. [1] The angle, , defines the rotation of the polarization axes between those defined for the Fresnel equations versus those of the detector. It can be used to correct for polarization mixing caused by a rotated detector, or to predict what the detector "sees", especially in the third Stokes component.
The Dottie number is the unique real fixed point of the cosine function.. In mathematics, the Dottie number or the cosine constant is a constant that is the unique real root of the equation