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Something that has been really confusing me lately is that this equation has four solutions $$3x(x+1)(x^2+x+2)=16x(x+1)(2x+1)$$ But what does that mean? Until now solutions to me has meant, what a...
So, $↦$ is really just the math operator/binder $λ$, in disguise. Thus, one might just as well write $(x ↦ x^2)(3) = 3^2 = 9$ , denoting the function directly rather than through a level of indirection.
$\begingroup$ @Brian M. Scott What does it mean when each subscript is non-numerical, and is exactly the same? I have an equation that has a value T (temperature in Kelvin), subscripted gamma. It's used several times each the same way, no variation, and all other equations in the same family simply use T, unsubscripted. What might that mean ...
What does the absence of a ground state physically mean? What is the correct article before a letter sound? How far above a forest fire or conflagration would you need to be, to not burn alive?
The median is the point of equal areas on either side. The mean is the point of balance, which is basically the center of mass if the probability density function was solid. Median = $\int_{-\infty}^M f(x) dx = \frac{1}{2}$ or the area equals 1/2 (since the total area is 1)
I am currently doing a math problem and have come across an unfamiliar notation. ... $ The question ask me ...
Writing {\displaystyle x\in A} x\in A means that "x is an element of A". Equivalent expressions are "x is a member of A", "x belongs to A", "x is in A" and "x lies in A". The expressions "A includes x" and "A contains x" are also used to mean set membership, however some authors use them to mean instead "x is a subset of A".
Here's a not too well-known instance of the use of $\varepsilon$ in mathematics: One somewhat well-known transformation for accelerating the convergence of a sequence is the Shanks transformation (after Daniel Shanks, who is probably more well-known for his number-theoretic contributions).
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Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.