#math

○○○ tensor ⪢⪢
The word _____ actually comes from an old Latin word meaning "to stretch".
http://qindex.info/i.php?x=9459

○○○ Pythagorean Theorem ⪢⪢
The _____ says that for any right triangle with sides a, b and c, a²+b²=c². #bookmark
http://qindex.info/i.php?x=28252

○○○ rational number ⪢⪢
http://qindex.info/i.php?x=9590

◎◎◎ prime number ⪢⪢
A _____ is one that's only divisible by itself and 1. #bookmark
http://qindex.info/i.php?x=7307

○○○ nominal number ⪢⪢
A _____ is a number used like a name, not as an actual value or position. ￫ cardinal, ordinal
http://qindex.info/i.php?x=10307

○○○ cardinal number ⪢⪢
A _____ says how many of something there are. ￫ nominal, ordinal
http://qindex.info/i.php?x=7070

◎◎◎ dimension ⪢⪢
The number of _____s is how many values are needed to locate points on a shape.
http://qindex.info/i.php?x=10324

○○○ ordinal number ⪢⪢
￫ cardinal, nominal
http://qindex.info/i.php?x=9858

○○○ 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.
http://qindex.info/i.php?x=5030

• Topology Riddles
http://qindex.info/i.php?x=3716

○○○ mold ⪢⪢
A sphere and a cube are topologically the same thing since you can just kind of mold one into the other.
http://qindex.info/i.php?x=16021

○○○ Goldbach conjecture ⪢⪢
Every even number is the sum of two primes.
http://qindex.info/i.php?x=3780

○○○ acute ⪢⪢
http://qindex.info/i.php?x=5212

○○○ isoscelese triangle ⪢⪢
http://qindex.info/i.php?x=6292

• Pantographs and the Geometry of Complex Functions
http://qindex.info/i.php?x=5235

• higher dimensional spheres
http://qindex.info/i.php?x=5346

• 05 Liber Abaci - Leonardo Fibonacci
Fibonacci asked himself how many pairs of rabbits originated from a single pair in one year. Each pair of rabbits will produce exactly one more pair of both sexes per month which in turn would be fertile from the second month after birth.
http://qindex.info/i.php?x=3645

○○○ Isometric Transformations ⪢⪢
_____ are types of transformations where the angle, sides, side measurement and the size of the figure remains the same.
http://qindex.info/i.php?x=3849

◎◎◎ congruent ⪢⪢
http://qindex.info/i.php?x=3860

○○○ logarithm ⪢⪢
So if you want to find log base b of x, you're asking "what power you have to raise b to in oder to get x?".
http://qindex.info/i.php?x=3784

○○○ logarithm ⪢⪢
When we say "log base b of x equals y", we are saying that b to the y equals x. ┆ x⍻b = y ➔ b˄y = x
http://qindex.info/i.php?x=6085

○○○ scalene triangle ⪢⪢
A _____ has no equal sides and no equal angles.
http://qindex.info/i.php?x=14016

○○○ denominator ⪢⪢
http://qindex.info/i.php?x=6290

○○○ linear function ⪢⪢
You can expect the difference between one x value at any point to be the same as any other. #bookmark
http://qindex.info/i.php?x=7405

○○○ exponential function ⪢⪢
In an exponential function, however, the x value is the exponent itself. An example of an exponential function would be y equals 2 to the exponent x.
http://qindex.info/i.php?x=9431

○○○ quadratic function ⪢⪢
http://qindex.info/i.php?x=20594

○○○ numerator ⪢⪢
http://qindex.info/i.php?x=20596

• interest
http://qindex.info/i.php?x=5156

◎◎◎ number ⪢⪢
A _____ is a count or measurement. It is really an idea in our minds.
http://qindex.info/i.php?x=20669

○○○ number ⪢⪢
Here are some ways to show the number 4. We can even tap the ground 4 times.
http://qindex.info/i.php?x=20670

• prime and composite number
http://qindex.info/i.php?x=8949

• exponential function
http://qindex.info/i.php?x=5560

○○○ Φ ≈ 1.618 ⪢⪢
Keplar observed that 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. #bookmark
http://qindex.info/i.php?x=9464

○○○ ψ ≈ 137.5° ⪢⪢
#bookmark
http://qindex.info/i.php?x=9465

○○○ composite number ⪢⪢
It is a _____ when it can be divided evenly by numbers other than 1 or itself. #bookmark
http://qindex.info/i.php?x=9580

○○○ prime number ⪢⪢
It is a _____ when it can't be divided evenly by any number except 1 or itself. #bookmark
http://qindex.info/i.php?x=9581

• 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.
http://qindex.info/i.php?x=9583

○○○ 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.
http://qindex.info/i.php?x=1780

• irrational number
Irrational numbers can't be expressed as the ratio of two integers.
http://qindex.info/i.php?x=9591

• √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.
http://qindex.info/i.php?x=9592

○○○ complex number ⪢⪢
A _____ 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. #bookmark
http://qindex.info/i.php?x=9607

◎◎◎ complementary ⪢⪢
If two angles are _____ , then the sum of their measures is 90 degrees. ￫ measure #bookmark
http://qindex.info/i.php?x=9684

○○○ power rule ⪢⪢
(x˄n)ᐁx = n·x˄(n−1) #bookmark
http://qindex.info/i.php?x=9686

◎◎◎ number ⪢⪢
Digits make up numerals and numerals stand for an idea of a _____ just like letters make up words and words stand for ideas.
http://qindex.info/i.php?x=9880

○○○ expect ⪢⪢
Now if a is greater than 0 and b was greater than 1, then we can expect the graph to look something like this. If a is greater than 0 and b is greater than 0 but less than 1, then the graph will look something like this.
http://qindex.info/i.php?x=10539

◎◎◎ cube ⪢⪢
http://qindex.info/i.php?x=11961

◎◎◎ sphere ⪢⪢
http://qindex.info/i.php?x=12224

• π
http://qindex.info/i.php?x=13421

○○○ genus ⪢⪢
Genus is one way topologists classify some shapes.
http://qindex.info/i.php?x=16023

◌◌◌ loop
http://qindex.info/i.php?x=16024

○○○ ｢f(x) Ƚh￫0｣ ⪢⪢
http://qindex.info/i.php?x=17693

○○○ ｢x˅3 Ƚx￫2-｣ ⪢⪢
http://qindex.info/i.php?x=17694

○○○ ｢e^x Ƚx￫-1+｣ ⪢⪢
http://qindex.info/i.php?x=17695

○○○ Vᐁr｢r=1｣ ⪢⪢
http://qindex.info/i.php?x=17697

○○○ (x²+1)ᐁx ⪢⪢
http://qindex.info/i.php?x=17698

○○○ (x⍻a)ᐁx = 1/(x·a⍻e) ⪢⪢
http://qindex.info/i.php?x=17699

○○○ (yᐁx)ᐁx = yᐁ²x ⪢⪢
#bookmark
http://qindex.info/i.php?x=17700

○○○ f(x)ᐁx = ↑x−x ⪢⪢
http://qindex.info/i.php?x=17705

○○○ h(x)ᐁ²x｢1｣ ⪢⪢
http://qindex.info/i.php?x=17706

○○○ s(t)ᐁ³t ⪢⪢
http://qindex.info/i.php?x=17707

○○○ f(x)ᐁⁿx ⪢⪢
http://qindex.info/i.php?x=17708

○○○ (2πx→x)ᐃx｢0,π/2｣ ⪢⪢
http://qindex.info/i.php?x=17709

○○○ tᐃt ⪢⪢
http://qindex.info/i.php?x=17710

○○○ |v(t)|ᐃt｢t⸤1⸥,t⸤2⸥｣ ⪢⪢
http://qindex.info/i.php?x=17711

○○○ ｢｢2x⸤i⸥Δx Σi=1,n｣ Ƚn￫∞｣ ⪢⪢
= 2xᐃx｢0,100｣ = x˄2｢0,100｣ last but not least #bookmark
http://qindex.info/i.php?x=17712

○○○ about ⪢⪢
Notice how as x increases, the increase in y itself becomes greater and greater. This is one of the key things _____ exponential functions in that the graph increases at an increasing rate.
http://qindex.info/i.php?x=4050

○○○ equilateral triangle ⪢⪢
http://qindex.info/i.php?x=18150

○○○ right triangle ⪢⪢
http://qindex.info/i.php?x=18151

○○○ obtuse triangle ⪢⪢
http://qindex.info/i.php?x=18154

○○○ perimeter ⪢⪢
The perimeter is the distance around the edge of _____ triangle.
http://qindex.info/i.php?x=18161

○○○ finish off ⪢⪢
http://qindex.info/i.php?x=20597

○○○ start off ⪢⪢
Let's start off this lesson with an example of simple interest first and then of compound interest so that we can compare the two. #bookmark
http://qindex.info/i.php?x=7026

○○○ rhombus ⪢⪢
If all four sides are the same length, we call the shape a _____. #bookmark
http://qindex.info/i.php?x=20603

◎◎◎ complement ⪢⪢
When two angles are complementary, we say that one angle is the _____ of the other.
http://qindex.info/i.php?x=9593

○○○ look ⪢⪢
Now if a is less than 0 and b was greater than 1, then we can expect the graph to look something like this. And finally, if a is less than 0 and b is greater than 0 but less than 1, then the graph will look something like this. #bookmark
http://qindex.info/i.php?x=20598

○○○ have a good one ⪢⪢
http://qindex.info/i.php?x=20599

○○○ quadrilateral ⪢⪢
http://qindex.info/i.php?x=11766

○○○ rectangle ⪢⪢
http://qindex.info/i.php?x=20604

○○○ upwards ⪢⪢
http://qindex.info/i.php?x=20612

○○○ swap ⪢⪢
http://qindex.info/i.php?x=20613

○○○ skip ⪢⪢
http://qindex.info/i.php?x=20614

○○○ add ⪢⪢
http://qindex.info/i.php?x=20615

• quadratic word problem
http://qindex.info/i.php?x=20618

○○○ each ⪢⪢
In this example, we're asked to estimate the number of degrees each of the shaded figures has been rotated and state the direction of the rotation.
http://qindex.info/i.php?x=20619

○○○ clockwise ⪢⪢
http://qindex.info/i.php?x=20620

• regular pentagonal pyramid
￫ slant height
http://qindex.info/i.php?x=20621

• perpendicular lines
http://qindex.info/i.php?x=20622