@Sam: think of it like this: for "random" xx, the terms of the continued fraction are also "random". Heuristically, the relevant fact is something to the effect that the early terms in the sequence don't substantially affect the distribution of the later terms. –user14972 ...
Okay; these terms are not only not in descending order, they're almost completely backwards! I'll put them the right way 'round, and then simplify by combining the two constants, which are the only like terms: x2 − x + 25 − 3 x2 − x + 22I...
It should be noted however, that mechanical spring constants and capacitor values are, by convention, expressed with reciprocal dimensions; a mechanical spring constant is typically expressed in terms of force per unit of displacement (such as newtons per meter or pounds-force per inch), whereas a...
The functions f(x) = \ln 5x and g(x) = \ln 3x differ by a constant. What constant? Give reasons for your answer. What is the difference between linear and nonlinear equations? What are examples of literal equations? Identify the terms. Then identify the coefficients of the variable...
determinant of the coefficient matrix. For the numerators, you will pick a variable; you will replace the coefficients of that variable's entries in the coefficient matrix with the "column vector" containing the constants on the other side of the "equals" sign in the original system of ...
Suppose we want to find an equivalent statement in terms of sin θ and cos θ to the following trig function: \cos2x + \sin2x We can use the double angle formulas to reduce this expression to only use sin θ and cos θ: ...
Identify the terms, variables, constants, and numerical and literal coefficients. 25x^{4} + 3x Let f (x) = 1 / x. Then the expression f (x + h) - f (x) / h can be written in the form A / x (x + h), where A is a constant. Find A. Using your answer from above, fi...
These Furstenberg limits capture some, but not all, of the asymptotic behaviour of ; roughly speaking, they control the typical “local” behaviour of , involving correlations such as in the regime where are much smaller than . However, the control on error terms here is usually only ...
the year 2023 marketing our Airbus widebody aircraft has meant lots of fun and a great learning experience. The everyday work is already quite interesting and exchanging with the team I learnt new things everyday. On top of that we had a very good year in terms of sales which should be ...
The synthesis way: Here you assume that there is sparse sequence of coefficients such that . The first approach is called “analysis” since here one analyzes the vector with the system of vectors. In the second approach, you use the vectors to synthesize the vector . We will keep things ...