[-1, 0, 1] means -1*x^0 + 0*x^1 + 1*x^2
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Are you a probabilist or a physicist?
Hermite polynomials refer to two sequences of polynomials:
The "probabilist's Hermite polynomials", given by
$${He}_n(x) = (-1)^n e ^ \frac {x^2} 2 \frac {d^n} {dx^n} e ^ {-\frac {x^2} 2}$$
where \$\frac {d^n} {dx^n} f(x)\$ refers to the \$n\$th derivative o...
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Background
In Haskell and many other functional languages, function application f(x) is simply written as f x. Also, this form of function application is left-associative, which means f x y z is ((f x) y) z, or ((f(x))(y))(z).
Haskell also has a binary operator called $. f $ x does function appli...
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Counting saturated domino placements code-golf grid dominoes tiling
Background
A saturated domino placement (SDP) on a rectangular grid is a non-overlapping placement of zero or more dominoes, so that no more dominoes can be added without overlapping some existing domino.
Alternatively, it can be...
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How many dominoes can you fit here? code-golf restricted-complexity dominoes grid binary-matrix
Much harder than Can this pattern be made with dominoes?
Challenge
A grid of width \$w\$ and height \$h\$ is given, filled with 1s and 0s. You can place a domino somewhere on the grid only if both cell...
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Nobel disease is a hypothesized affliction that results in certain Nobel Prize winners embracing strange or scientifically unsound ideas, usually later in life. It has been argued that the effect results, in part, from a tendency for Nobel winners to feel empowered by the award to speak on topics outside their specific area of expertise combined with a tendency for Nobel winners to be the kinds of scientists who think in unconventional ways.
== Implications ==
While it remains unclear whether Nobel winners are statistically more prone to critical thinking errors than are other scientists, the...
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