Recent content by Gavran

To be on the set means occupying the whole set in a particular way and the word “onto” follows the definition of a surjective function at all. To be in the set means occupying the part of the set but it does not mean that every element of the part of the set is occupied only once and this is the...

This is not a simple continued infinite fraction. $$ a_0+\frac{1}{a_1+\frac{1}{a_2+\frac{1}{a_3+\frac{1}{...}}}} $$ All integers in the sequence ## \{a_i\} ##, other than the first, must be positive.

It can be proved that the sequence of convergents of any simple continued infinite fraction converges.

ODE | Slope fields and isoclines example

The question is more general than it looks and there is a difference between the coded term and the name of the coded term. For example, The coded term is 1. The name of the coded term is 1. In the first case 1 presents the coded term while in the second case 1 presents the symbol which is used...

There is a problem with wording. In the post #14 I mean the centripetal acceleration of masses m1 and m2 which is directed to the centre of mass. There is an external entity which provides the circular motion of the centre of mass. Maybe the external entity is the circular motion of the...

The force of tension provides the centripetal acceleration to the centre of mass.

The centre of mass circulates with a constant velocity of 1 m/s and a radius of 0,1 m.

What about friction?

$$ \lim_{x\to\infty}\frac1x=0 $$ does not mean that ## 1 ## approaches ## 0 ## as ## x ## approaches ## \infty ##.

It seems to me that you are trying to make a deterministic model of a stochastic process. What you write here is not in the context of randomness.

I can recognize a lot of squares with three corners touching the three triangle’s sides while the fourth square’s corner does not touch any of the three triangle’s sides. The two triangle legs will always be touched with the same two square’s corners A and B, while the triangle’s hypotenuse will...

A small amount of water in a tube means a small amount of potential energy of water, which means a small amount of work that can be done.

There is an interesting text which can help you for better understanding. Maxwell–Boltzmann distribution

The total force on the bar m1 is not zero, so the external force F is not in balance with the spring force and the frictional force.