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Parabola
Parabola

... Parabolas Parabola: the set of points in a plane that are the same distance from a given point called the focus and a given line called the directrix. Notice that the axis of symmetry is the line through the focus, perpendicular to the directrix ...
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day 6 systems elimination

... 5-3 Solving Systems by Elimination Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. Remember that an equation stays balanced if you add equal amounts to both sides. Consider the system ...
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kinetics of a pseudo first order reaction between acetone and iodine

MScMath - Ilam Ki Shama
MScMath - Ilam Ki Shama

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Schwarzschild geodesics

In general relativity, the geodesics of the Schwarzschild metric describe the motion of particles of infinitesimal mass in the gravitational field of a central fixed mass M. The Schwarzschild geodesics have been pivotal in the validation of the Einstein's theory of general relativity. For example, they provide quite accurate predictions of the anomalous precession of the planets in the Solar System, and of the deflection of light by gravity.The Schwarzschild geodesics pertain only to the motion of particles of infinitesimal mass m, i.e., particles that do not themselves contribute to the gravitational field. However, they are highly accurate provided that m is many-fold smaller than the central mass M, e.g., for planets orbiting their sun. The Schwarzschild geodesics are also a good approximation to the relative motion of two bodies of arbitrary mass, provided that the Schwarzschild mass M is set equal to the sum of the two individual masses m1 and m2. This is important in predicting the motion of binary stars in general relativity.
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