Examples of using Vector space in English and their translations into German
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Political
Every vector space has a basis.
The movement in the vector space.
Vector spaces and linear algebra.
The dimensions of the vector space.
For example, vector spaces are defined in sage. modules.
Movement of substance into vector space.
With the surrounding stars, is the vector space.
The interactions in the vector space, are vector and direct.
Interactions between cosmic bodies and vector space.
Then the scalars of that vector space will be the elements of the associated field.
To this, Sage adds many other types. E. g., vector spaces.
Let W be a finite dimensional vector space and U, V⊂ W two affine subspaces.
So, the consequence of the earth interaction with the vector space.
The electric torus being vector space, induces around it a"magnetic" torus.
We will only consider representations in complex vector spaces.
Here, the rotation motion and the vector space are the source of new vector currents- of energy.
A Vector Space is very important for the, and if it were not true aims- the Force would have scored.
The concept involves a satellitenetwork that Nexus is developing in partnership with Vector Space Systems.
In the vector space, we consider a close vector current, a ring, an"electric" torus.
We are going to study, in some sense, the easiest possible actions of finite groups, namely,the linear actions on vector spaces.
And not only that: in the vector space of a term you can also capture, how often this term occurs in documents.
Rotating discs with revolutione movements around a central axis, will interact with the vector space, with the portance forces.
The important ideas of linear transformations, vector spaces, bilinear forms, though not set off, as is common in most modern treatments, do appear in Wedderburn's book.
For capturing this elegance in its entirety,an understanding of some mathematical elements such as vector space, eigenvalue or operator is however indispensable.
The modern approach defines thethree-dimensional Euclidean space more algebraically, via vector spaces and quadratic forms, namely, as an affine space whose difference space is a three-dimensional inner product space. .
Standing position in the analysis the limit value concept and his applications in differential calculus and integral calculus as well as the use of the infinite-dimensional in the foreground,so certain mathematical structures(vector space, group, ring, body) play in the linear algebra and algebra a determining role.
While at the Institute,Halmos wrote his first book,"Finite Dimensional Vector Spaces", which immediately established his reputation as a fine expositor of mathematics.
Thus, the definition is formally unchanged butwhile a simplex with"n" vertices needs to be embedded in a vector space of dimension of at least"n-1", a polytope may be embedded in a vector space of lower dimension.
Electricity- electrons or vectors space.