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/sci/ - Science & Math

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2258445 No.2258445 [Reply] [Original]

What's the difference between Euclidean Geometry and Vectors and Non-Euclidean Geometry and Vectors?

>> No.2258453

Non-Euclidean means that it's just a bunch of bullshit math that has nothing to do with the physical world other than appear to have a consistent model of what would exist if this universe was in a different format of dimensional and temporal value.

>> No.2258454

One is Euclidean and the other is not.

>> No.2258466

>>2258454
-0/10

>> No.2258468

>>2258454
WOW THAT WAS SO HELPFUL

FAGGOT

>> No.2258479
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2258479

>>2258466
>mfw negative zero

>> No.2258482
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2258482

>>2258479
no-euclidian bro

>> No.2258485
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2258485

>>2258479
-0
0+

>> No.2258501
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2258501

>>2258445
In Euclidean geometry parallel lines never meet, perpendicular lines only meet once, and a triagnles angles must total Pi radians.

In Non-Eucliean geometry these are not the cases.

Space actually has a Non-eucliean geometry. And you need that shit for calculating space trajectories. Also, the surface of the earth has a non-euclidean geometry.

anything else?

>> No.2258504
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2258504

>>2258485

>> No.2258507

>>2258501
I heard that scalars can be 1 dimensional vectors. Is that true?

>> No.2258619
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2258619

>>2258507
Sure, If you want to think of them like that, it is fine. Formally scalars, vectors, and matrices are just types of objects we call Tensors.

Scalar = Rank 0 Tensor
Vector = Rank 1 Tensor
Matrix = Rank 2 Tensor

The Primary differnece between a scalar and a basic 3D vector, is that the vector carries information about "direction" as well, not just a value.

Hence if we want to measure temperture (just a number), I would use a scalar. If I want to measure the wind, I would use a vector (as wind has a direction, and value).

Anything else?