Jumping on the lake of ice

Last summer i was able to jump only near of the lake (Eymir / Ankara).
Now on the lake...

Fundamental Theorem of Algebra

Every polynomial equation having complex coefficients and degree >=1 has at least one complex root.
Again we see the importance of complex numbers.
This may be a good reason to start teaching mathematics from complex numbers.

Aerospace and Vector Calculus

Vector Calculus and orthogonality are very fundemental works in aerospace field.
It is very interesting, you want to go in x direction but you are mostly dealing with the z axis (principal normal direction about x axis) to produce lift for the vehicle.
Ok i will explain what i wrote later :)

Cauchy-Schwartz inequality

Cauchy-Schwarz inequality was already obvious from triangle inequality.
These mathematicians may have an influental person behind them. :)
My proof with mathematica:

The posts waiting for publishing

* - Biking on the snow and ice.
* - Marketing your own product.
* - The vector definition is absent.
- There should be an extra axiom for the definition of vector space and vector.
* - Why we differentiate?

Why we use "R", "r" in vector notations

In general when we want to define a vector to a point (Let's say from the origin of the coordinate system used)the letter we use to imply this vector will be "r" or "R".
It should have many reasons, but i think some of them are like this:
1 - It defines the "R"elation between two points. (The origin and the point defined)
2 - It implies the "R"esultant vector.

I will look for others...
If you have any idea please write.