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In the back seat was a jumble of maps, a pair of socks and a box of tissues.
In 1515 the noted German painter Albrecht Dürer drew the first printed star maps, a pair of beautiful planispheres closely patterned on the Vienna manuscripts.
The concept of fuzzy hyperoperation is a natural extension of crisp hyperoperation: as already mentioned, a crisp hyperoperation maps a pair of elements to a crisp subset of elements; a fuzzy hyperoperation maps a pair of elements to a fuzzy subset.
His logic is based on functional application rather than predication; so, a binary relation is analyzed as a binary function that maps a pair of arguments to a truth-value.
Frege, too, had primitive identity statements; for him, identity is a binary function that maps a pair of objects to The True whenever those objects are the same object.
Here, the idea is to replace both, the feature encoding φ and the dot product by one function k: χ × χ → ℜ, which directly maps a pair of objects to a real number.
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You'll need the right kit: a cagoule, a map, a pair of comfortable shoes and some complex carbohydrates in your bag for slow release energy (mealbreaks are for wimps).
An algebraic hyperstructure (henceforth simply called a hyperalgebra) is a set endowed with one or more hyperoperations, i.e., multi-valued operations mapping a pair of elements to a set of elements.
Therefore, when vectors from the input space are mapped to a feature space xi↦φ xi) using the nonlinear transformation φ, their inner products in the feature space becomes 〈φ xi), φ(xj)〉↦k xi,xj) where k : H×H↦ℜ is a function mapping a pair of points in H to the real set ℜ.
11 The payoff matrix shown below will provide a payoff function π, which will map a pair of strategies to a payoff.
The neurobiology-based saliency model is used because it produces very similar saliency maps for a pair of images with intensity change between them and facilitates registration in the face of contrast enhancement.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com