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Beyond this value , () always. Thus, there are a finite number of sum-product numbers, and any natural number is guaranteed to reach a periodic point or a fixed point less than b k − 1 , {\displaystyle b^{k}-1,} making it a preperiodic point.
When the program requires the sine of a value, it can use the lookup table to retrieve the closest sine value from a memory address, and may also interpolate to the sine of the desired value, instead of calculating by mathematical formula. Lookup tables can thus used by mathematics coprocessors in computer systems.
PLU stickers with the number 4130 identifying them as Large Cripps Pink apples PLU code 4033 are for regular small lemon sold in the U.S.. Price look-up codes, commonly called PLU codes, PLU numbers, PLUs, produce codes, or produce labels, are a system of numbers that uniquely identify bulk produce sold in grocery stores and supermarkets.
In this example, the rule says: multiply 3 by 2, getting 6. The sets {A, B, C} and {X, Y} in this example are disjoint sets, but that is not necessary.The number of ways to choose a member of {A, B, C}, and then to do so again, in effect choosing an ordered pair each of whose components are in {A, B, C}, is 3 × 3 = 9.
The above factorization is not unique, since it depends on the choice of values for λ n. However, for most functions, there will be some minimum non-negative integer p such that λ n = p gives a convergent product, called the canonical product representation. This p is called the rank of the canonical product.
Denzel Washington revealed that he "bit my tongue almost half-off" and his injury is affecting his speech ahead of his starring role in the Broadway production of "Othello."
As for overnight bookings, motel and hotel prices range from $550 to $4,700 or more for a two-night stay during Super Bowl weekend. More than two dozen hotels are booked from Feb. 8 to Feb. 10 ...
However, if the terms and their finite sums belong to a set that has limits, it may be possible to assign a value to a series, called the sum of the series. This value is the limit as n {\displaystyle n} tends to infinity of the finite sums of the n {\displaystyle n} first terms of the series if the limit exists.