Parentheses are overused: Difference between revisions

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Legendre/Jacobi symbol: \( \left(\dfrac{a}{b}\right) \)
Legendre/Jacobi symbol: \( \left(\dfrac{a}{b}\right) \)
[[Intervals]]: \((a,b)\) is open at both ends, \((a,b]\) is open at one end.


==References==
==References==


<ref>[https://karendcampe.wordpress.com/2016/04/28/problems-with-parentheses/amp/ "Problems with parentheses", by Karen Campe]</ref>
<ref>[https://karendcampe.wordpress.com/2016/04/28/problems-with-parentheses/amp/ "Problems with parentheses", by Karen Campe]</ref>

Revision as of 12:22, 7 July 2021


Parentheses are used to represent all sorts of operations and objects, many of which conflict with each other.

Grouping parts of an expression: \( (x+1)(x+2) \)

Argument of a function: \(f(x)\) is "\(f\) applied to \(x\)". (There is no function application symbol)

Greatest common divisor: \((a,b) = \gcd(a,b)\)

Counting combinations: \( {n \choose k} = \frac{n!}{k!(n-k)!} \)

Repeated differentiation : \( f^{(n)}(x) = \frac{\mathrm{d}^nf}{\mathrm{d}x^n} \)

Vectors or one-column matrices: \( \begin{pmatrix} a \\ b \end{pmatrix} \)

Ideals: \((2)\) is the ideal generated by 2, \((a,b,c)\) is the ideal generated by \(\{a,b,c\}\).

Tuples: \((a,b)\)

Cycle notation for permutations: \((a,b)\) or \((a \; b)\)

Legendre/Jacobi symbol: \( \left(\dfrac{a}{b}\right) \)

Intervals: \((a,b)\) is open at both ends, \((a,b]\) is open at one end.

References

[1]