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How to write 'and' in mathematical language?

I'm not from the field of math, but I needed to write two very simple equations in the same small line and I'm afraid it'll be confusing since they're very close to each other. So I found it best to put a symbol which means "and", and it'll separate them. Does such a symbol exist?

2 Answers2

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This is a perfectly good example:

Consider the equations

$$F(x,y)=0 \quad \text{and}\quad G(x,y)=0.$$

Pedro
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  • (Unnecessary symbols will often clutter your text. We are used to reading words, so why not keep it that way?) – Pedro Feb 20 '21 at 12:14
  • So at least we know the meaning of the words. Did these symbols exist in the time of scholars like Gauss? Or was it invented later? – lone student Feb 20 '21 at 12:33
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Yes: $\wedge$. For instance, you can write: let $x$ and $y$ be real numbers such that$$x^2+y=2=1\wedge y=2x.$$However, it is more common to write it as$$\left\{\begin{array}{l}x^2+y^2=1\\y=2x.\end{array}\right.$$And there is nothing wrong in writing$$x^2+y=2=1\text{ and }y=2x.$$