Prove or disprove that a series is convergent
I was given the following task which I struggle with. Prove the following statement, or disprove it by giving a counter example: if $\sum_{n=1}^\infty a_n...
20 Apr 2026 1 READS
Archive: News
Intuition on the Orbit-Stabilizer Theorem
The Orbit-Stabilizer says that, given a group $G$ which acts on a set $X$, then there exists a bijection between the orbit of an element $x\in X$ and the ...
20 Apr 2026 1 READS
How to solve complex number equation: $z^5=\bar z$?
I'm trying to solve this complex number equation: $$z^5=\bar z$$ As far as I understand, every complex number $z$ should be written in trigonometric ...
20 Apr 2026 1 READS
![How long does it take to learn algebra? [closed]](https://edu.smbbmcl.edu.pk/uploads/how-long-does-it-take-to-learn-algebra-closed_720.jpg)
How long does it take to learn algebra? [closed]
I've searched through this site but couldnt find a question like this, so i'm asking: How long does it take to learn algebra 1 and 2? I have 5 h...
20 Apr 2026 1 READS
Optimization, volume of a box
I am having trouble figuring this one out. If $1200cm^2$ of material is available to make a box with a square base and an open top, find the largest possi...
20 Apr 2026 1 READS
Why are there 360 degrees in a circle?
Angle can be measured in two units. Radians and degrees. In radians, $\pi$ means half circle as $2*\pi*r$ represents the circumference of whole circle. Th...
20 Apr 2026 1 READS
meaning of 'Hypothesis' in simple terms?
could anyone please clarify me the meaning of the term 'hypothesis'? with relation to terms 'reasoning' and 'assumption' ? M...
20 Apr 2026 1 READS
What is the difference between Cauchy and convergent sequence?
I am really confused. I will appreciate if somebody can help me to define the difference between Cauchy and convergent sequence. Many thanks.
20 Apr 2026 1 READS
Work = line integral over closed loop
For a velocity field $$ \textbf G(x, y) = (3x^2 − 6y^2 + 1)\textbf i + (x + 4y − 12xy)\textbf j $$ show that the work done in moving a particle on the uni...
20 Apr 2026 1 READS
Addition of Binary Integers Pseudocode
For the additions of two binary expansion algorithm below, $$ a = (a_{n-1}\cdots a_0)_2, b = (b_{n-1}\cdots b_0)_2$$ Question: For complexity, i found the...
20 Apr 2026 1 READS
