trustle > EngliSea > Corona Safe Schooling > mathematics > Quick Math Index > ¦terms
 
Circle
○ Radius, Diameter, Chord, Circumference, Sector
3796
 
Complex Number
A complex number is a number that can be expressed in the form a + bi where a and b are real numbers and i is the square root of -1.
9607
 
Composite Number
It is a composite number when it can be divided evenly by numbers other than 1 or itself.
9580
 
Congruence Modulo
3860
 
Convergence and Divergence
The Return of Sequences and Series
5172
 
Converse
Switching the hypothesis and conclusion of a conditional statement.
3732
 
Cross Product
Given two nonzero vectors in two or three dimensions, their cross product is a vector with magnitude equal to the product of the magnitudes of the vectors times the sine of the angle between the vectors and direction perpendicular to the vectors.
5291
 
Dimension
The number of dimensions is how many values are needed to locate points on a shape.
5047
 
Dot Product
Given two nonzero vectors in two or three dimensions, their dot product is the product of the magnitudes times cosine of the angle between the two vectors.
5288
 
e ≈ 2.718
Euler's Number
9132
 
Factorial, Permutation and Combination (Choose)
3735
 
FOIL
Firsts, Outers, Inners, Lasts
9442
 
Golden Section
It was the Greek mathematician Euclid who produced the first precise description of the golden section. A length is devided into two parts in such a way that the smaller part is to the larger part in the same proportion as the larger one is to the whole.
1780
 
Iff
If and only if
3408
 
Integration
With the sum of f of x i times delta x from i equals one to infinity in the limit of n approaching infinity.
3658
 
Interest
Simple & Compound Interest
5156
 
Irrational Number
Irrational numbers can't be expressed as the ratio of two integers.
9591
 
Limit
The limit of f of x as x approaches a is L.
3473
 
Line
From here, we can construct a one- dimensional object by stringing an infinite number of points along a particular dimension. This object is called a line.
5177
 
Linear systems
A collection of 2 or more linear equations
3810
 
Logarithm
What power do you have to raise b to in oder to get x?
3784 COMMENT
 
Logarithm
With logs, the base of the log raised to the power of what's on the other side of the equal sign will equal the number that the log is operating on.
6085 COMMENT
 
Logarithm
What is the power that I should raise this base to in order to get this number?
9636
 
Mathematical Induction
3775
 
Mathematical Notation
3734
 
Matrix
A rectangular array of numbers
3811
 
Partial derivative
(1) partial derivative of f with respect to x, f sub x, partial f over partial x. (2) f sub xx, partial squared f over partial x squared. (3) f sub xy, partial squared f over partial y partial x.
5077
 
Pascal's Triangle
3736
 
Plane
By stringing an infinite number of lines along a dimension perpendicular to the line, a two-dimensional object called a plane can be obtained. And then if we string an infinite number of planes in either direction, we get three dimensional space.
5031
 
Point
First we look at a point. This is nothing more than a location in space. It is zero-dimensional, meaning that it has no dimensions of any kind.
5030
 
Point
We represent points with little dots and some capital letter, making sure to realize that the dot we draw is infinitely larger than the point it is meant to represent.
6290
 
Prime Factorization
3770
 
Prime Number
It is a prime number when it can't be divided evenly by any number except 1 or itself.
9581
 
Prime Number
A prime number is a positive integer that is divisible only by itself and 1.
9582
 
Prime Number Theorem
○ π(n) is asymptotically equivalent to x/log x. ○ Of the first n integers, roughly 1/log n of them would be prime.
9583
 
Quadrilateral
A four-sided polygon ○ Rhombus, Rectangle, Square, Trapezoid, Parallelogram
5167
 
Rational Number
Any number that can be expressed as the ratio of two integers.
9590
 
Sequences, Factorials and Summation Notation
arithmatic sequence, geometric sequence, Fibonacci sequence, recursion formula, factorial, Euler's number
5170
 
Space
By stringing an infinite number of lines along a dimension perpendicular to the line, a two-dimensional object called a plane can be obtained. And then if we string an infinite number of planes in either direction, we get three dimensional space.
5178
 
Taylor and Maclaurin Series
Taylor and Maclaurin Series
3574
 
Triangle
scalene, isoscelese, equilateral, acute, right, abtuse.
5212
 
Triangle
3797
 
Trigonometric Functions
Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
3457
 
Vector
A mathematical construct that has both magnitude and direction
3815
 
π ≈ 3.14
The ratio of a circle's circumference to its diameter
9593
 
π(n)
π(n) is the number of primes less than or equal to n.
9466
 
Φ ≈ 1.618
Keplar observed that the relationship between a number in Fibonacci sequence and the previous number more and more closely approaches the irrational number Φ the longer the sequence is continued and Φ describes nothing other than the golden section.
9464
 
ψ ≈ 137.5°
Divides the angle of 360° in the proportions of the golden section. As angles smaller than 180° proved more handy in practice, the smaller of the resultant angles is usually called golden angle.
9465
 
√2 ≈ 1.414
According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two. The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction.
9592

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