# I

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identity
A number that when an operation is applied to a given number yields that given number. For multiplication, the identity is one and for addition the identity is zero

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 (including zero) that does not include a fraction or decimal

intercept
See x-intercept or y-intercept

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.

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 