indefinitely

An unspecified amount, having no exact limits.

independent events

Two events A and B are independent if the probability that they happen at the same time is the product of the probabilities that each occurs individually; i.e., if P(A & B) = P(A)P(B). In other words, learning that one event occurs does not give any information about whether the other event occurred too: the conditional probability of A given B is the same as the unconditional probability of A, i.e., P(A/B) = P(A).

infinity

Greater than any fixed counting number, or extending forever. No matter how large a number one thinks of, infinity is larger than it. Infinity has no limits.

initiator

A line-segment or figure that begins as the beginning geometric shape for a fractal. The initiator is then replaced by the generator for the fractal.

input

The number or value that is entered, for example, into a function machine. The number that goes into the machine is the input.

integer

Any positive or negative number that does not include a fraction or decimal, including zero.

intersection of sets

The intersection of two or more sets is the set of elements that all the sets have in common; in other words, all the elements contained in every one of the sets.

intercept

See x-intercept or y-intercept.

irregular fractals

Complex fractals whose dimension is often difficult to determine and in some cases is unknown.

isosceles triangle

A triangle that has at least two congruent sides.

item

The things or objects that are the subject of a bar graph.

iteration

Repeating a set of rules or steps over and over. One step is called an iterate.