## Kronecker delta explained simply in 11 minutes!

In this video you will learn the Kronecker delta within 10 minutes and how you can use it to write down the scalar product in index notation.

Learn the arts of numbers, logical definitions, and constructed abstract structures, as well as their relationships to each other, which will help you better master physics.

In this video you will learn the Kronecker delta within 10 minutes and how you can use it to write down the scalar product in index notation.

Here you learn everything about Kronecker-Delta! Including 4 calculation rules with Einstein's summation convention, typical mistakes and more.

` $$ c^2 ~=~ a^2 ~+~ b^2 ~-~ 2a\,b\cos(\gamma) $$ `

` $$ \frac{a}{\sin(\alpha)} ~=~ \frac{b}{\sin(\beta)} \\ ~=~ \frac{c}{\sin(\gamma)} $$ `

Here you will learn the basics of multidimensional differentiation and integration as well as how to deal with differential equations. These are important tools in physics.

` $$ A ~=~ \pi \, \class{red}{r} \, (\class{red}{r} + s) $$ `

` $$ V ~=~ \frac{\pi \, h}{3} \, \left( {\class{red}{r_1}}^2 ~+~ {\class{blue}{r_2}}^2 ~+~ \class{red}{r_1} \, \class{blue}{r_2} \right) $$ `

` $$ A ~=~ \sqrt{3} \, a^2 $$ `

` $$ V ~=~ \frac{4}{3} \, \pi \, r^3 $$ `

` $$ A ~=~ 3 \, a^2 \, \sqrt{25 ~+~ 10 \, \sqrt{5}} $$ `

` $$ V ~=~ \frac{\pi}{3} \, h \, r^2 $$ `

` $$ \nabla \, f(x,y,z) ~=~ \begin{bmatrix} \frac{\partial f}{\partial x} \\ \frac{\partial f}{\partial y} \\ \frac{\partial f}{\partial z} \end{bmatrix} $$ `

` $$ A ~=~ \frac{1}{2} \, \class{blue}{d_1} \, \class{red}{d_2} $$ `

` $$ A ~=~ 2(a\,b ~+~ a\,c ~+~ b\,c) $$ `

` $$ \Omega ~=~ \frac{A}{r^2} $$ `