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17 Cards in this Set
- Front
- Back
- 3rd side (hint)
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series |
the sum of the terms of a sequence |
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finite series |
a series with defined first and last terms |
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infinite series |
a series that continues indefinitely |
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harmonic series |
divergent infinite series named for the concept of overtones in music |
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divergent series |
an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit. |
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convergent series |
a series that is not divergent, meaning that the sequence of the partial sums of the series approach a limit under certain conditions. |
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sequence |
string separated by commas |
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analysis |
the study of limits |
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trivial factor |
the number itself and one. |
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proper factor |
all factors that are not the number itself or one. |
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prime number |
a number with no proper factors |
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Eucllid's proof of the infinitude of primes |
Suppose N is prime. Form the number (1 x 2 x 3 x ... x N)+1. This number doesn't divide exactly by any number from 1 to N; there is always remainder 1. So either it has no proper factors-and therefore is itself a prime larger than N-or its smallest proper factor is some number larger than N. |
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argument |
the specific input of a function, also called the independent variable. |
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function value |
the result associated to a value of its argument (also called variable of the function). |
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function |
the application of some rule or procedure to an argument and its output. |
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domain |
the set of argument values for which the function is defined. |
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