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In terms of frequencies, this represents the greatest common divisor.
Generalized implicit function theorems with applications to small divisors problems.
We make use of the following rule: the divisors of a number occur in pairs.
Numbers like 36 that are perfect squares are an exception to the rule that divisors always occur in pairs.
The rest of the lab we will spend in making the divisors function more efficient.
For division in chapters 10.4 and 10.5 another kind of test is given: the dividend is compared with the product of divisor and result.
This result features a close analogue of what happens for inertia attached to a divisor with strict normal crossings.
It normalises a ratio by dividing both numerator and denominator by their greatest common divisor.
The crucial insight is the relationship between rationals and greatest common divisors.
Let us define a particular type of open covering of the divisor.
The estimate for the k is much harder as it involves small divisors.
We will be naturally led to look at the infinitesimal neighborhood of the divisor.
The students can also identify many large odd numbers, such as 999, as composites because these numbers have obvious divisors.
