identity: A number that when operating with it on any other number leaves the number unchanged.
identity property of addition: The sum of any number and 0 is that number.
identity property of multiplication: The product of 1 and any number is that number.
image: The result of a transformation on an object.
imaginary number: An even root of a negative number; the square root of -1 is symbolized by i .
implicit differentiation: An application of the chain rule allowing one to calculate the derivative of a function given implicitly.
improper fraction: A fraction with a numerator that is greater than the denominator.
inclusive: Including the ends. Example: List the odd numbers from 3 to 9 , inclusive: 3 , 5 , 7 , 9
inconsistent system: A system of equations is inconsistent if it does not have a solution.
increase: An addition.
independent events: Two events in which the outcome of the second is not affected by the outcome of the first.
independent system: The equations of a system are independent if they share only one solution - the point of intersection.
indeterminate form: In calculus and other branches of mathematical analysis, an indeterminate form is an algebraic expression whose limit cannot be evaluated by substituting the limits of the subexpressions.
index: The superscript at the beginning of a radical sign indicating the root to be taken, or extracted.
inequality: A mathematical expression which shows that two quantities are not equal.
infinity: A limitless quantity.
inscribed angle: An angle placed inside a circle with its vertex on the circle and whose sides contain chords of the circle.
inscribed polygon: A polygon placed inside a circle so that each vertex of the polygon touches the circle.
integer: A whole number in the set of numbers containing zero, the natural numbers, and all of the negatives of the natural numbers.
integral: Given a function f(x) of a real variable x and an interval [a,b] of the real line, the integral is equal to the area of a region in the xy-plane bounded by the graph of f, the x-axis, and the vertical lines x=a and x=b, with areas below the x-axis being subtracted.
intercept: The x-intercept of a line or curve is the point where it crosses the x-axis, and the y-intercept of a line or curve is the point where it crosses the y-axis.
intercepted arc: The arc of a circle within an inscribed angle.
interest: Amount paid or received for the loaning of money or the borrowing of money.
interior angles of a polygon: Angles within a polygon formed by the intersection of two sides.
interpolation: A method for estimating values that lie between two known values.
intersect: With lines or curves, to cross or have a point in common.
intersecting lines: Lines that have only one point in common.
intersection: With sets, the operation that creates a new set containing only those elements common to the original sets.
interval: A set of values between two endpoints.
inverse: Opposite. -5 is the additive inverse of 5, because their sum is zero. is the multiplicative inverse of 3 , because their product is 1 .
inverse operations: Two operations that have the opposite effect, such as addition and subtraction.
ion: An atom or molecule where the total number of electrons is not equal to the total number of protons, giving it a net positive or negative electrical charge.
irrational number: A number that cannot be expressed as the ratio of two integers.
isosceles: A polygon with two sides equal in length.
isosceles triangle: A triangle with at least two equal sides.
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