15. Mathematical formula list
Basic mathematical formulas are shown below.
Item | Explanation |
---|---|
combination |
The number of combinations to obtain r elements out of n elements is given by following formula. ![]() For example, there are three (ab, bc, ca) types on how to take 2 items from 3 items data a, b, c. |
Permutation |
The number of permutations to obtain r elements out of n elements is given by following formula. ![]() For example, there are six ab, ba, bc, cb,ca, ac) types of permutation to take 2 elements from 3 elements data a, b, c. |
Exponent |
The number in which a is nth times multiplied is
expressed by
![]() |
Trigonometric table |
Trigonometric table is defined as follows by using the right-angled triangle. ![]() The mutual relationship of the trigonometric table is expressed by the following formula. ![]() |
root |
![]()
Among the root,
|
logarithm |
When
![]() Also, the following relation is established when the base is same. ![]()
Among the logarithm, the logarithm that considers 10
as base is called common logarithm.
|
derivation |
The derivation formula of a typical function is shown as follows. ![]() |
integration |
The integration formula of a typical function is shown as follows. ![]() |