A device, which represents data by continuous variations. Example, a clock with minute and hour hands is constantly changing as it continuously shows that time. A digital clock shows separate times from moment to moment.
This property applies both to multiplication and addition and states that you can group several numbers that are being added or multiplied (not both) in any way and yield the same value. In mathematical terms, for all real numbers a, b, and c, (a+b)+c=a+(b+c) or (ab)c=a(bc).
It is better to avoid this sometimes vague term. It usually refers to the (arithmetic) mean, but it can also signify the median, the mode, the geometric mean, and weighted means, among other things (cf Mean, Median and Mode Discussion).
This property of both multiplication and addition states that you can rearrange the order of the numbers being added or reorder numbers being multiplied without changing the value of the expression. In mathematical terms, for all real numbers a and b, a+b=b+a and ab=ba.
A unique ordered pair of numbers that identifies a point on the coordinate plane. The first number in the ordered pair identifies the position with regard to the x-axis while the second number identifies the position on the y-axis
Two events are disjoint if they can't both happen at the same time (in other words, if they have no outcomes in common). Equivalently, two events are disjoint if their intersection is the empty set.
Summing two numbers and then multiplying by another number yields the same value as multiplying both values by the other value and then adding. In mathematical terms, for all real numbers a, b, and c, a(b+c) = ab+ac.
An input-output relationship that has exactly one output for each input. In this relationship it is very important that each input has one and only one output.
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.
If a figure is divided by a line and both divisions are mirrors of each other, the figure has line symmetry (adj). The line that divides the figure is the line of symmetry (n).
A function of the form f(x) = mx + b where m and b are some fixed numbers. The names "m" and "b" are traditional. Functions of this kind are called "linear" because their graphs are straight lines.
Parallel computer systems can send and receive more than one bit of data at a time because several points communicate with each other. Massively parallel systems have a relatively large number of these pathways.
A method for finding remainders where all the possible numbers (the numbers less than the divisor) are put in a circle. Use the number being divided to count around the circle. The final number landed on will be the remainder.(cf What are Remainders Discussion).
A unit of measure. For example, when measuring days, a modulus could be 24 for the number of hours in a day. 75 hours would be divided by 24 to give 3 remainder 3, or 3 days and 3 hours. See also modular arithmetic (cf Clocks and Modular Arithmetic Discussion).
Given some starting information and a rule for how to process it, you get new information. The rule is then repeated using the new information to get the next information.
To rotate an object in a transformation means to pick a point and spin the object a certain number of degrees around the point and redrawing the object.
throw out everything you do not want, leaving only what you want to keep; with numbers, this means throwing out all of the composite numbers to leave only the prime numbers.