general
biology models which uses a system of differential equations
I am trying to find mathematical models used in Biology that uses a system of differential equations. I found the lotka-volterra model and Michaelis-Mente...
Apr 09, 2026
Archive: General
general
Find all positive inegers solution for $x^2-xy-y^2=1$
Find all positive inegers solution for the following diophantine equation $$x^2-xy-y^2=1$$ My work so far 1)$$x^2-xy-y^2-1=0$$ $$D=y^2+4(y^2+1)=5y^2+4=k^2...
Apr 09, 2026
![Find the indicated term of the geometric sequence algebraically. [closed]](https://news.conceivablytech.com/uploads/find-the-indicated-term-of-the-geometric-sequence-algebraically-closed_720.jpg)
general
Find the indicated term of the geometric sequence algebraically. [closed]
a1=18, r=4/3, 8th term 1.Find the indicated term of the geometric sequence algebraically.
Apr 09, 2026
![Is infinity 'larger' than 1? [closed]](https://news.conceivablytech.com/uploads/is-infinity-039-larger-039-than-1-closed_720.jpg)
general
Is infinity 'larger' than 1? [closed]
If infinity is not a number, how can it be larger than any number? A number is a position on the number line. A larger number is the position further on t...
Apr 09, 2026
general
What's so "natural" about the base of natural logarithms?
There are so many available bases. Why is the strange number $e$ preferred over all else? Of course one could integrate $\frac{1}x$ and see this. But is t...
Apr 09, 2026
general
Are countable topological spaces second-countable?
Are countable spaces (i.e. $\mathbb{N}$ with any topology) second-countable? A countable space can have at most $2^\omega$ open subsets which suggests tha...
Apr 09, 2026
general
Properties of Diagonalization of Matrices
I was wondering about a property when Diagonalizing Matrices, so if we have the form A = C D C $^{-1}$ Then the matrix C must have linearly independent co...
Apr 09, 2026
general
Field of Quotients Explanation
I'm having a hard time grasping the concept of a field of quotients. The book I'm currently reading gives the following definition: Any integral...
Apr 09, 2026
general
Computing coordinates of vertices in a SSS triangle
Given that we know the lengths of the sides of a triangle (SSS), how can the coordinates of the vertices in the Euclidean plane of such a triangle be math...
Apr 09, 2026
![sum and difference between two independent Poisson random variables [closed]](https://news.conceivablytech.com/uploads/sum-and-difference-between-two-independent-poisson-random-variables-closed_720.jpg)
general
sum and difference between two independent Poisson random variables [closed]
Let $X$ and $Y$ be independent Poisson variables with respective parameters $a$ and $b$. What is the distribution function of $X+Y$? the conditional distr...
Apr 09, 2026
