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Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n), for this same system, so the y's are functions of the x's; and, inverting, the x's are also functions of the y's. Find the Lagrangian in the y-coordinate system, and show that it produces the same physical equations of motion for the system as does the Lagrangian in the x-coordinate system.
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
Make an interval estimate of the mean so that you are 90 percent confidant that the true mean is in your interval.
Uniform Distribution and a 20-Sided Die, In this problem there are two ways to solve one is the largest way counting every pair of the outcome and the other is the smallest, using CDF.
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
Mathematicians say that division by zero is forbidden. The expression 5/0, for example, is undefined. "Undefined" in this sense means "unable to be determined". Why is this?
Probability- Considering Failure Rates, The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics
List the coefficient coding for the given contrasts
Waiting line model, As it is, models have been developed to assist managers understand and make better decisions concerning the operation of waiting lines
Find the multiple linear regression.
Find the value of the pronominal.
If the probability of seeing moose in a day in a certain region of Alaska is 0.47, what is the probability of not seeing any moose in a day there?
what is the probability taht a widget produced by the factory will be defective? if a widget is found to be defective what is the probability that it is made by Pacific
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