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- notation - How does one denote the set of all positive real numbers . . .
What is the "standard" way to denote all positive (or non-negative) real numbers? I'd think $$ \\mathbb R^+ $$ but I believe that that is usually used to denote "all real numbers including infinit
- notation - Math Symbol for Where - Mathematics Stack Exchange
They are integral parts of larger notations which don't have any individual formal meaning -- the fact that expressing the entire notation in English sometimes involves saying "such that" between the things the symbol stands between in the symbolic form doesn't make those words into a definition of the symbol
- Notation for the least common multiple and greatest common divisor
The (bad) notation $ (a,b)$ is often used for the greatest common divisor; somebody uses $ [a,b]$ for the lowest common multiple Why are they bad, in particular the former? Because $ (a,b)$ is already used for several other purposes
- notation - Difference between ≈, ≃, and ≅ - Mathematics Stack . . .
In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators Block
- notation - Parenthesis vs brackets for matrices - Mathematics Stack . . .
When I first learned linear algebra, both the professor and the book used brackets like [ and ] to enclose matrices However, in my current differential equations textbook, matrices are enclosed by
- notation - Whats the most right symbol to use for defined to be . . .
$$:=$$ is the commonest symbol to denote "is equal by definition " Note that $$\equiv$$ is used to denote an algebraic identity: this means that the equation is true for all permitted values of its variables Rarely, however, it may denote a definition, so it's best to use this symbol only for congruences or identities In short: $$:=$$ is the most widespread (presumably as it's the easiest to
- notation - Bar Mean vs Bracket Mean - Mathematics Stack Exchange
I have also seen the bracket operator to mean expectation In that case, $\bar {x}$ would be the sample mean and $\langle x \rangle$ the expected value (of a continuous random variable)
- What could be better than base 10? - Mathematics Stack Exchange
Most people use base 10; it's obviously the common notation in the modern world However, if we could change what became the common notation, would there be a better choice? I'm aware that it ver
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