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Ternary Negatives

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#binary #decimal-expansion #ternary-expansion
215
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A description of the Cantor set, Sierpinski carpet, and Menger sponge.

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#fractals #cantor-set #ternary-expansion
104
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Show the existence of a locally compact, perfect set in $[0,1]$ which has the following property.

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#general-topology #cantor-set #ternary-expansion
97
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Compare the numbers in base $3$

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#ternary-expansion
179
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Ternary Strings Induction

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#induction #ternary-expansion
142
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How to prove that Cantor ternary set has no intervals using ternary expansions?

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#real-analysis #proof-explanation #cantor-set #ternary-expansion
446
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Proving That The Cantor Set is Uncountable Using Base-3

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#cantor-set #ternary-expansion
171
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Prove you can weigh any number between 1 and $\frac{3^{n+1} -1}{2}$ using $n+1$ weights - Discrete

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#discrete-mathematics #ternary-expansion
260
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Counting with Recurrence Relations

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#combinatorics #recurrence-relations #generating-functions #combinatorics-on-words #ternary-expansion
91
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Number of $1$'s in the ternary representation of $x$

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#number-theory #ternary-expansion
539
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Cantor-Lebesgue function on $[0, 1]$ satisfies the functional equation $f(x) = 2f(\frac x3)$ for all $x \in [0, 1]$.

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#real-analysis #continuity #functional-equations #cantor-set #ternary-expansion
231
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Create a divisibility rule for 9 if a number is written in ternary form.

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#binary #ternary-expansion
79
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Does this fractal mapping have a name?

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#functions #terminology #fractals #iterated-function-system #ternary-expansion
94
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Determining whether a natural number has no "1"s in its ternary expansion, without direct calculation

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#analysis #elementary-number-theory #cantor-set #ternary-expansion
64
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How to prove that the distance $|x-y|$ in $A$ (where $A$ is a subset of $\mathbb{R}$ with positive lebesgue measure) does not belong in the Cantor set

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#measure-theory #lebesgue-measure #cantor-set #ternary-expansion

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