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isomorphic
isomorphe

Isomorphic Isomorphic. Two groups are isomorphic if they have the same structure. There is a one-to-one correspondence - cor respondence - between the two groups so that it is achieved for each a and b and is called
isomorphism.

Note: 0 in table (A) above corresponds to 0° in table (B). And 1 in table (A) corresponds to 90° in table (B) etc...

Application: 0 > 0 (identity correspondence).

°90 - 1
180 - 2 (self-inverse members correspond.

°270 - 3

(A) to (B) is a homotopy. It is also true that the homotopy could have been 0 - 0 and 180 - 2
and 90 - 3°
Note also that each group contains one neutral element, one self-inverse element, and one inverse pair.

Here (C) is not homotopy with (A) and (B) since every element in (C) is a self-inverse element. (D) is homotopy with (A) and (B) but the table may need to be rearranged as in (C) to make it clearer.

The set of positive real numbers in the case of multiplication is homotopy with the set of real numbers in the case of addition using the xlogx homotopy. This is the rule for using the logarithm function as an aid in calculation. The study of homotopy systems is an important branch of modern algebra because the results prove The possibility of applying one system to another.

isosceles
isocèle

Isosceles. An isosceles triangle has two equal sides and two equal angles.

An isosceles trapezium is a trapezoid whose non-parallel sides are equal.

Each of the above figures has one line of symmetry.

iterate
itérer

Iterate. Iterate means repeating. Thus:

d³y/dx³

Is a repeated differential since y is differentiated three times.

iterative
itératif

Iterative. Iterative operation involves repeating

a sequence of operations to improve some result.

For example:

Write a number

Multiply by ten

A quarter root twice

Record the result

Is a repeated method for finding 3/10.