• Recursive Formula
In this video let us dive right into a light introduction to the idea of a recursion and what the recursive formula is.
http://qindex.info/i.php?x=3466

• ｢↑x/x Ƚx￫0｣ = 1
http://qindex.info/i.php?x=28228

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

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

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

• π
http://qindex.info/i.php?x=13421

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

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

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

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

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

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

• number, numeral and digit
http://qindex.info/i.php?x=8945

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

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

○○○ 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

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

○○○ 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

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

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

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

○○○ exponential function ⪢⪢
http://qindex.info/i.php?x=9431

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

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

○○○ counterclockwise ⪢⪢
http://qindex.info/i.php?x=20668

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

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

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

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

○○○ Isometric Transformations ⪢⪢
http://qindex.info/i.php?x=3849

○○○ symmetry ⪢⪢
http://qindex.info/i.php?x=28249

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

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

○○○ 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

○○○ 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

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

⨀⨀⨀ iota Ιι ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24554

⨀⨀⨀ tau Ττ ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24565

⨀⨀⨀ chi Χχ ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24568

⨀⨀⨀ psi Ψψ ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24569

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

○○○ numeral ⪢⪢
A _____ is a symbol or name that stands for a number.
http://qindex.info/i.php?x=20672

○○○ 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.
http://qindex.info/i.php?x=9464

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

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

○○○ 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.
http://qindex.info/i.php?x=9607

○○○ logarithm ⪢⪢
Or you can say "If I raise b to the power of y, I'm going to get x."
http://qindex.info/i.php?x=28242

○○○ 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. ┆ x⍻b = y ➔ b˄y = x
http://qindex.info/i.php?x=28240

• Intro to Radians
right off the bat
http://qindex.info/i.php?x=3463

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

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

○○○ 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

○○○ logarithm ⪢⪢
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".
http://qindex.info/i.php?x=28241

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

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

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

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

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

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

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

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

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

○○○ pi ⪢⪢
http://qindex.info/i.php?x=20671

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

◎◎◎ 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

◎◎◎ digit ⪢⪢
A _____ is a single symbol used to make numerals.
http://qindex.info/i.php?x=20673

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

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

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

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

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

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

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

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

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

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

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

○○○ ψ ≈ 137.5° ⪢⪢
As angles smaller than 180° proved to be more handy in practice, the smaller of the resultant angles is usually called golden angle.
http://qindex.info/i.php?x=28243

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

○○○ composite number ⪢⪢
It is a _____ when it can be divided evenly by numbers other than 1 or itself.
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.
http://qindex.info/i.php?x=9581

○○○ 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

○○○ 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

• √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

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

• 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

○○○ 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

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

• 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

○○○ 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

○○○ 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.
http://qindex.info/i.php?x=7026

○○○ 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

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

⨀⨀⨀ nu Νν ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24559

⨀⨀⨀ sigma Σσ ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24564

⨀⨀⨀ delta Δδ ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24548

⨀⨀⨀ epsilon Εε ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24549

⨀⨀⨀ beta Ββ ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24546

⨀⨀⨀ omega Ωω ⪢⪢
#third #Greece
http://qindex.info/i.php?x=24570