A letter to the editor is presented in response to the issue regarding how to find the exact values for the sine of angles that are multiples of 18° without using double or triple angle formulas.WenjiangOswegoTuOswegoMathematics Teacher
We propose a way to obtain the closed-form solutions for such systems. We use the approximate dual Hamiltonian method to construct the first integrals and closed-form solutions of the Van der Pol equation. First the solutions of the initial value VdP equation is obtained using approximate dual ...
The curve in the Hough space of φ and c passing through the point (x i, y i) is a sinusoid with the equation c=xicosφ+yisinφ=risin(φ+φi), with ri=xi2+yi2, φi=arctan(xi/yi). (5.4) If the curve to be found in the image space is a circle through the ...
Con- sidering the low-energy sector of Hoˇrava gravity as a viable Lorentz-violating gravity in four dimensions which admits a different speed of gravity, we find the exact rotating black hole solutions (with or without cosmological constant). We find that the singular region extends to r <...
whoever that may be. One thing I’ve realized over the years is just how tired I am of hearing the exact same quotes from the “winning” bishop-elect. The two biggest buzzwords are “humbled” and “overwhelmed.” Usually these spill out one right after the other as in “I’m humble...
Suppose thatr(t)gives the position of an object at timet. We first recall that the velocity of the object isv(t)=r′(t)and the acceleration isa(t)=v′(t)=r″(t). We are often interested in how much the acceleration points...
The value of rmix is selected to satisfy the condition Imag = 0; hence, ION = rmix·Inuc at the paramagnetic T = 40 K. As a result, the pure magnetic intensity Imag can be determined by combining IOFF and ION. A more detailed explanation and data obtained for other ...
(as do I; as does Sadie; as do you). In addition, the light changes from day to day. The surrounding plants in the garden also change from day to day and year to year. In addition, when I take a picture, I’m not in the exact same position. The software on the iPhone changes...
Checking the consistency of a metamodel involves finding a valid metamodel instance that provably meets the set of constraints that are defined over the metamodel. These constraints are often specified in Object Constraint Language. Often, a metamodel is inconsistent due to conflicts among the const...
You may have noticed the same type of cheese made with the same type of rennet, cultures and milk can vary drastically from batch to batch, season to season, year to year, etc. This is because the exact same milk is not definitely not the same from day to day, season to season or ...