Why do divisions like 1/98 and 1/998 give us numbers continuously being multiplied by two each time in decimal form?
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Why do divisions like 1/98 and 1/998 give us numbers continuously being multiplied by two each time in decimal form?

For example, when I divided $1$ by $98$, I got an amazing result of $0.0102040816326530612244897...$ where so many numbers get multiplied by two every tim...

Published: Sep 05, 2026

Positive and negative complex numbers?
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Positive and negative complex numbers?

Can there be such a thing as positive and negative complex numbers? Why or why not? What about positive or negative imaginary numbers? It seems very tempt...

Published: Sep 05, 2026

Relative Interpretations alla Kunen
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Relative Interpretations alla Kunen

at the moment I try to figure out some details of Kunen's "Relative Interpretation" Definition (within the 2013 Edition of his "Set Theory", p. 99 to...

Published: Sep 05, 2026

Formula for the sequence 1 1 2 2 3 3 [closed]
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Formula for the sequence 1 1 2 2 3 3 [closed]

I am trying to solve a programming problem where i encounter this pattern 1 1 2 2 3 3 4 4 . What is the formula for computing it for Nth term ?

Published: Sep 05, 2026

understanding the Earth Mover’s Distance (EMD) from the MATLAB
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understanding the Earth Mover’s Distance (EMD) from the MATLAB

I found difficulty in understanding the Earth Mover’s Distance (EMD) from the MATLAB implementation. The method is actually implemented in this paper. Any...

Published: Sep 05, 2026

Is there any significant consequence if P does not equal NP-complete?
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Is there any significant consequence if P does not equal NP-complete?

I hear a lot on these forums about how if P=NP-complete how our lives would be better, is there any significant consequence if we found P to be not equal ...

Published: Sep 05, 2026

Calculating inverse trig expressions like cos(arctan -2)
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Calculating inverse trig expressions like cos(arctan -2)

I have some problems "connecting dots". All feedback is welcomed and really, really helpful! :) Task 1: calculate $\quad \tan{(\arcsin{(-\frac{3}{4}}))}$ ...

Published: Sep 05, 2026

Proof of Schur's lemma
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Proof of Schur's lemma

Can someone give me a simplified proof of Schur's lemma in group theory. Sorry if the question looks a standard textbook proof. But I find the proof ...

Published: Sep 05, 2026

Is $\ 7!=5040\ $ the largest highly composite factorial?
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Is $\ 7!=5040\ $ the largest highly composite factorial?

A highly composite number is a natural number $\ n\ge 1\ $ that has more divisors than any smaller natural number $\ m\ge 1$. Checking the $\ 1000\ $ entr...

Published: Sep 05, 2026

Extremas using Lagrange or other methods with exponential functions
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Extremas using Lagrange or other methods with exponential functions

$ \overline{B((0,0),1))}\mapsto \mathbb{R}$ $f(x,y)= e^{(x-1)y}$ How do you find the extremas for this functions? I tried using Lagrange method but I have...

Published: Sep 05, 2026

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