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How does an arbitrary locally-smooth function F(x, y) vary along the orbit of a 1-parameter local Lie group?

• Replace (x, y) by (ˆx, yˆ) and expand in powers ε:

• Replace (a, y) by (ˆa, yˆ) and expand in powers of 6,12

• Replace (z, y) by (ˆx, yˆ) and expand in powers of 98

• Replace (x, y) by (ˆx, yˆ) and expand in powers of y

Which Drink Do you like?

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Sometimes, it is more convenient to choose v to be a different function of r and ˙s. Any choice will do, provided that v depends locally diffeomorphically on ˙s. This is to ensure that (r,s˙) can be obtained from (r, v) and vice versa, and that the local smooth structure is preserved. Whichever choice of v is made, the reduced ODE will always be of the form

A given O∆E of order p may be written in canonical coordinates as

Fill in the sentence THIS __A___

THIS IS A BAG

• IS

• BAG

• THIS

• A

Did Walt Cheat On His Wife?

• Never

• 3 days a week

• only once

• 6999 times

Write the square root of 540 in terms of the simplest possible surd

• I Do not know google it

Simplify..

• 7x+7 6x5+22

• 7x + 50 x 5 0 / 6

• 2x 6 0 + 28 / 4

• 2x+3 3x+4

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