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...ching it. The '''Left limit''' is any value that approaches the limit from numbers less than the number, and the '''Right limit''' is any value that approache ...

...th>k</math>. Let <math>S</math> be a set with <math>|S|=n</math>. Find the numbers of <math>k</math>-tuples <math>(T_1,T_2,\dots,T_k)</math> of subsets <math> ...

...n|exponential functions]], and are useful in multiplying or dividing large numbers. Logarithms can make multiplication and division of large numbers easier because adding logarithms is the same as multiplying, and subtractin ...

It is a [[computation]] process that uses random numbers to produce an outcome(s). Instead of having fixed inputs, [[probability dis ...

* State and prove an analogous result for Stirling numbers of the first kind. ...

* State and prove an analogous result for Stirling numbers of the first kind. ...

...variables, and see negative association in action by considering occupancy numbers in the balls and bins model. ...and only if ball <math>k</math> lands in bin <math>i</math>. The occupancy numbers are <math>B_i=\sum_{k\in[m]}B_{i,k}</math>. That is, <math>B_i</math> denot ...

...t time period when the whole group covers a longer time. In this case, the numbers in the sample are not independent. Then special equations are used to try t ...imit theorem]] shows that the numbers in the sample are very much like the numbers in the whole group (they have a [[normal distribution]]). ...

...input a set <math>S</math> of <math>n</math> numbers, we want to sort the numbers in <math>S</math> in increasing order. One of the most famous algorithm for ...re all numbers in <math>S_1</math> are smaller than <math>x</math> and all numbers in <math>S_2</math> are larger than <math>x</math>; ...

...an [[wikt:extend|extension]] of the [[factorial]] function to all complex numbers except negative, integers. The argument of the function is shifted down by The gamma function is defined for all [[complex numbers]]. But it is not defined for negative integers and zero. For a complex numb ...

...of a real-valued argument ''x''. (This means both the input and output are numbers.) ...''x''&sup2; is <nowiki>[0,+∞) </nowiki>, that is, the set of non-negative numbers. (Also, this function is not an injection.) ...

Let <math>a_n</math> be a sequence of numbers satisfying the recurrence relation: ...

Let <math>a_n</math> be a sequence of numbers satisfying the recurrence relation: ...

Where the letters are the corresponding numbers of the original equation, {{math|1=''ax''² + ''bx'' + ''c'' = 0} ...

...ame place to react in the opposite direction. The ratio between those two numbers represents how popular each side of the reaction will be when equilibrium i ...

...</math> remains as a '''formal variable''' without assuming any value. The numbers that we want to count are the coefficients carried by the terms in the form === Fibonacci numbers === ...

[[Category:Prime numbers]] ...

...nd method, we consider the number of choices in one step, and multiply the numbers of choices in all steps. This is done as follows. Multiplying the numbers of choices in all steps, the number of sequences of adding directed edges t ...

...</math> remains as a '''formal variable''' without assuming any value. The numbers that we want to count are the coefficients carried by the terms in the form === Fibonacci numbers === ...

...</math> remains as a '''formal variable''' without assuming any value. The numbers that we want to count are the coefficients carried by the terms in the form === Fibonacci numbers === ...