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A perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number n, apply it again to the resulting totient, and so on, until the number 1 is reached, and add together the resulting sequence of numbers; if the sum equals n, then n is a perfect totient number.
Tick sizes can be fixed (e.g., USD 0.0001) or vary according to the current price (common in European markets) with larger increments at higher prices. Heavily-traded stocks are given smaller tick sizes. An instrument price is always a rational number and the tick sizes determine the numbers that are permissible for a given instrument and exchange.
In nonstandard analysis, a field of mathematics, the increment theorem states the following: Suppose a function y = f(x) is differentiable at x and that Δx is infinitesimal. Then Δ y = f ′ ( x ) Δ x + ε Δ x {\displaystyle \Delta y=f'(x)\,\Delta x+\varepsilon \,\Delta x} for some infinitesimal ε , where Δ y = f ( x + Δ x ) − f ( x ...
Powers of 2 appear in set theory, since a set with n members has a power set, the set of all of its subsets, which has 2 n members. Integer powers of 2 are important in computer science. The positive integer powers 2 n give the number of possible values for an n-bit integer binary number; for example, a byte may take 2 8 = 256 different values.
Startled awake, mom discovers her son is shot. As Givens snapped awake, her son Destin was screaming, his right hand bleeding. Givens’ .22-caliber Glock handgun lay on the floor nearby.
When truncating, a number of this order of magnitude is between 10 6 and 10 7. In a similar example, with the phrase "seven-figure income", the order of magnitude is the number of figures minus one, so it is very easily determined without a calculator to be 6. An order of magnitude is an approximate position on a logarithmic scale.
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As a House member, John Curtis, R-Utah, exhibited a willingness to buck his own party. Now the senator-elect who is set to take the seat being vacated by retiring Mitt Romney, said he’s not ...