Euclidean
3
8.1
- adjective
- /juˈklɪdiən/
- Specialized
:
euclidiano
- In several studies, respondents were asked to judge Euclidean distances between locations.
- Euclidean geometry
- Euclidean distance
- Euclidean space
Now, what is Hilbert space and Euclidean space?
- Now, what is Hilbert space and Euclidean space?
- First of all, the Greek didn't consider the possibility that there will be non Euclidean geometry, right?
- Isometry means a rigid motion, a congruence, things that are like congruence in Euclidean geometry.
- You can't, you can't use ordinary notions of Euclidean geometry on space-time.
- That is, you don't find in Euclidean geometry so much.
- Now then he says that's all just Euclidean gibberish.
- You want to be able to map it into a space where words that are far apart from each other are in in the Euclidean sense.
Examples
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In school, we learned about Euclidean geometry, which deals with flat surfaces and parallel lines.
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This is the heart of what we would call Euclidean geometry, the geometry you learn in school.
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Well, the Euclidean distance is the distance between those two points.
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It's the basic foundation of Euclidean geometry.
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If it was just space space, we'd use what's known as the Euclidean distance.
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The optimal threshold value for sensitivity and specificity on the basis of Euclidean distance was obtained for the current study.
Academic text (2015) -
The nearest-neighborhood rule was used to determine the pattern similarity using the Euclidean distance measure.
Academic text (1992) -
The variance between samples was quantified using Euclidean distance ranging from 0 to 137.
Academic text (2017) -
Hierarchical clustering with the Euclidean distance metric and average linkage was used to generate the hierarchical tree.
Academic text (2015) -
All corporeal things will assume the shapes intelligible to Euclidean geometry: rectangles, circles, spheres, cubes, cylinders.
Fiction book (1998)
Synonyms
Relating to the geometry of flat space using Euclid's ideas
Compounds
- Specialized
1
7.6
A space with flat geometry and a fixed number of dimensions, like a flat plane or room
- Specialized
A way of studying space where flat space rules like triangles summing to 180 degrees do not hold
Surface Forms
Morphology
Etymology
Euclidean comes from the name of the ancient Greek mathematician Euclid, who wrote the basic rules of flat geometry, so Euclidean means 'like Euclid's geometry', the kind where space is flat and parallel lines never meet.