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So the chain of inequalities can also be written as Now for each real number , the “floor-plus-one” of is the unique integer such that ; hence we can conclude that It is then straightforward to give a formula for , using the fact that the th bounce starts at time , and the ball...
In addition, the function argument of z with a principal value in the range ( − π , π ] is denoted by arg ( z ) . With the notation Δ ω = Δ ( j ω ) , we have Lemma 1. For every ω > 0 , the orbits of each vertex of P τ ( ω , Q , R ) correspond to...
A problem with two 1-variable inequalities where the conditions in both must be satisfied in order to be a solution 2. A mathematician goes shopping and sets his budget (in dollars) using the following set notation {x | x > 50 and x < 75} where x is the amount he will spend....