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14974669 No.14974669 [Reply] [Original]

How accurate are the following statements?
-A scalar is an isotropic discretization of displacement with an arity of 1.
-A Vector is an anisotropic discretization of displacement with an arity of 2 or more.
-An eigenvector is an isotropic discretization of a vector's displacent
-An eigenvalue is the scalar of vector displacement
-Natural numbers are scalars

>> No.14974680

a scalar is a member of an algebraic field
a vector is a member of an algebraic vectorspace
-an eigenvector is a non-zero vector that scales under a linear transformation
-an eigenvalue is the scaling factor an -eigenvector scales by
-the natural numbers do not always have multiplicative inverses that are natural numbers, so are not a field, and therefore not scalars

>> No.14974684

>>14974680
that got jumbled.
-a scalar is a member of an algebraic field
-a vector is a member of an algebraic vectorspace
-an eigenvector is a non-zero vector that scales under a linear transformation
-an eigenvalue is the scaling factor an eigenvector scales by
-the natural numbers do not always have multiplicative inverses that are natural numbers, so are not a field, and therefore not scalars
0/5, F--