trustle > EngliSea > Math > 99 Terms

Calculus
Calculus answers two main questions about functions. (1) How steep is a function at a point? (2) What is the area under the graph over some region? The first question is answered using the derivative and to answer the second question we use the integral.
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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.
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Digits, Numerals and Numbers
Digits make up numerals and numerals stand for an idea of a number just like letters make up words and words stand for ideas.
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Dilation
Symetry, transformation, translation, rotation, reflection, dilation, congruent
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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.
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Goldbach conjecture
The Goldbach conjecture says that every even number is the sum of two primes. A prime number is one that's only divisible by itself and 1.
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Golden angle Ψ
An important part is also played by the golden angle which divides the angle of 360° in the proportions of the golden section. As an angle smaller than 180° proved to be more handy in practice the smaller of the resultant angles is called the golden angle
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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.
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Greek Alphabet
Α α Β β Γ γ Δ δ Ε ε Ζ ζ Η η Θ θ Ι ι Κ κ Λ λ Μ μ Ν ν Ξ ξ Ο ο Π π Ρ ρ ϱ Σ σ/ς Τ τ Υ υ Φ φ Χ χ Ψ ψ Ω ω
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Iff
If and only if
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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.
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Limit
The limit of f of x as x approaches a is L.
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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.
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Linear systems
A collection of 2 or more linear equations
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Logarithm - Krista King
By definition, when we say "log base b of x equals y", that's the same thing as saying "b to the y equals x". So if you want to find log base b of x, you're asking "what power do you have to raise b to in oder to get x?"
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Logarithm - Krista King
Or you can say "If I raise b to the power of y, I'm going to get x."
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Logarithm - Professor Dave
"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."
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Matrix
A rectangular array of numbers
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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.
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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.
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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.
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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.
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Prime number theorem
The prime number theorem says that PI of x is asymtotically equivalent to x over log x. As a reminder, two sequences a sub n and b sub n are asymtotically equivalent if the limit as n goes to infinity of a sub n over b sub n is one.
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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.
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Transformation
Symetry, transformation, translation, rotation, reflection, dilation, congruent
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Triangle classification
Triangles can be classified by their angles and sides: scalene, isoscelese, equilateral, acute, right, abtuse.
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Trigonometric Functions
Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
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Vector
A mathematical construct that has both magnitude and direction
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Φ
The relationship between a number in the 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.
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