32 questions linked to/from Is this Batman equation for real?
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### Is '$10$' a magical number or I am missing something?

It's a hilarious witty joke that points out how every base is '$10$' in its base. Like, \begin{align} 2 &= 10\ \text{(base 2)} \\ 8 &= 10\ \text{(base 8)} \end{align} My question is if ...
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### An equation that generates a beautiful or unique shape for motivating students in mathematics

Could anyone here provide us an equation that generates a beautiful or unique shape when we plot? For example, this is old but gold, I found this equation on internet:  \large\color{blue}{ x^2+\...
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### LOVE +MATH = can you read this formula?

i don't remember where exactly, i found in internet this image: i tried to replicate the formula with python and i tried this: ...
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### Why is Sesame Street's Count von Count's favorite number $34,\!969$? [closed]

In the 2 minute BBC News audio clip Sesame Street: What is Count von Count's favourite number? "The Count" is asked Do you have a favorite number? to which he replied Thirty four thousand,...
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### Plotting $(x^2 + y^2 - 1)^3 - x^2 y^3 = 0$

I have no idea how this equation: $$(x^2 + y^2 - 1)^3 - x^2 y^3 = 0$$ Produces this picture: Can someone provide a general explanation of plotting this function?
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### Which function is appropriate for the geometrical shape mostly used as LOVE symbol

I tried $\;r=-1-\sin\theta,\,$ for $\,\theta$ between $[-2\pi,2\pi]$. But it's not as accurate as expected. Any one to help me? Thank you in advance.
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### Is there an equation for every graph?

Is it possible to write a formula for any line imaginable, for example a drawing? I once saw this long, and complicated, formula made by a mathematician with loads of ceilings etc. The explanation ...
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### Every set of $n$ generators is a basis for $A^{n}$

This is problem $15$ from Chapter $3$ of Atiyah and Macdonald's book. Let $A$ be a ring let $F$ be the $A$-module $A^{n}$. Show that every set of $n$ generators is a basis of $F$. Here's the hint:...
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### Lebesgue Density Theorem

Problem from Folland : based on Lebesgue Density Theorem: Let $D_{E}(x) = \lim_{r\to 0}\frac{\mu(E\cap B(r,x))}{\mu(B(r,x))}$ whenever it exists. Find examples of $E$ and $x$ such that $D_{E}(x)$ is a ...
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### In how many ways can a batsman score a century in all $6$'s and $4$'s?

A batsman scored a century in all $6$'s and $4$'s. In how many ways can he do this? The given answer is $8$, but there is no explanation, how are they doing it? As century is $100$ runs a very loose ...
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### Define a graph with segments or boundaries

Is it possible to have a function such as: $y = x^2$ but to also state that from negative infinity to -10 and from 10 to positive infinite that $y = 7$ This is a simple example, but I just want ...
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### Can you write a non-piecewise equation that describes an arbitrary shape?

This Batman equation thing got me thinking: for an arbitrary curve drawn on the Cartesian plane, can you write a corresponding equation which is not piecewise? What about closed shapes, a la the ...
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### Using equations to draw out complex objects

How do people come up with equations of curves to draw out complex objects? Some popular examples would include: batman curve & PSY curve. This stackexchange link explains the rationale for the ...
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### How are the wolfram alpha pikachu curve and others generated? [duplicate]

If you type in "pikachu curve" or other famous fictional characters on wolfram alpha it generates a function to trace out the curve that resembles the character. See http://www.wolframalpha.com/input/?...
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