Curtain rises. A group of people enters in gender-neutral dresses and wearing masks. It is not clear if they are finite or infinite in numbers as they continue to enter. They call themselves theorems. As the first theorem is proved, the clock ticks one and one character removes their mask revealing their identity. The leave... Continue Reading →
A Hug
I wished to hold her, chest-to-chest,To feel the warmth, a longed-for rest.But space and time, cruelly entwined,Played tricks upon this heart of mine. When space drew near and hearts aligned,Time’s cruel hand would dim my mind.The years apart, a canyon wide,Made courage falter, love collide. To hug her now, a fleeting dream,A bond untouched, yet... Continue Reading →
Quantification of Thoughts
Thoughts are the noise generated in the form of ideas by human beings. Various diseases and aging are the denial of ideas or thoughts to deposit noise on or inside the body. In my opinion, the messiest part of the human body is the brain. On the other hand, the heart appears to be something... Continue Reading →
A Formula for Composite Numbers
Here we state a theorem that finds composite numbers. Proof will be given elsewhere. Theorem: Let $latex A = \{ a: 1\leq a\leq N\}$ and $latex B = \{b: 1\leq b\leq N\}$ Define $latex x =\frac{a+b+1+\sqrt((a-b)^2+2a+2b+5)}{2}$ for $latex a$ in $latex A$ and $latex b$ in $latex B$. If $latex x\in \mathbb{N}$, then $latex x+1$... Continue Reading →
Fractals in Pictures
Fractals are geometrical objects found in nature. They can also be drawn experimentally and mathematically. Clouds, lightning, and coastlines are natural fractals. Solitons are physical fractals. Mandelbrot set, Cantor set, Julia set, and Sierpinski triangle. we draw below the latter fractals in Python.
Violation of Induction Hypothesis
Definition of an inductive set A subset A of the real numbers is said to be inductive if it contains 1, and for every element x in A, the number x + 1 is also in A. Here we show that a product set is not inductive. We shows that if C is subset of... Continue Reading →