Examples of 'scalar multiplication' in a sentence
Meaning of "scalar multiplication"
scalar multiplication: In mathematics, scalar multiplication refers to the operation of multiplying a vector by a scalar quantity (a real number). This results in scaling or rescaling the vector without changing its direction, only its magnitude.
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- Multiplication of a vector by a scalar (which belongs to the vector space's field of scalars).
- multiplication of a module element by a ring element
How to use "scalar multiplication" in a sentence
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scalar multiplication
Addition and scalar multiplication is performed componentwise.
Or at least if you are dealing with scalar multiplication or addition.
So scalar multiplication has distributive properties.
Both vector addition and scalar multiplication are trivial.
Scalar multiplication is distributive with respect to vector addition.
We also know about scalar multiplication.
And then scalar multiplication is also element by element.
This is closure under scalar multiplication.
Addition and scalar multiplication are given as in finite coordinate space.
The operation of multiplying a vector by a scalar is called scalar multiplication.
Distributivity of scalar multiplication over addition of vectors.
And we sometimes call this closure under scalar multiplication.
Scalar multiplication and addition are defined on the equivalence classes by.
So this is just scalar multiplication here.
The canonical structure is the pointwise operations of addition and scalar multiplication.
See also
This is just scalar multiplication.
The scalar multiplication and addition become sequential matrix multiplication and addition.
An example of an external binary operation is scalar multiplication in linear algebra.
So is scalar multiplication by the scalar.
Application of the principles explained above to scalar multiplication is described below.
Mass point scalar multiplication is distributive over mass point addition.
Well the world could have defined scalar multiplication however it saw fit.
Scalar multiplication changes the magnitude of the vector but NOT the direction.
Juxtaposition indicates either scalar multiplication or the multiplication operation in the field.
The countermeasure method also consists in defining four variants in the scalar multiplication operation.
The addition and scalar multiplication are the usual operations of functions.
In this section the fourth variant of modification of the scalar multiplication operation is described.
This is an example of scalar multiplication because I am taking three and multiplying it.
In this paragraph the second variant of modification of the scalar multiplication operation is described.
Scalar multiplication Matrix multiplication Vector addition.
The axioms that addition and scalar multiplication must satisfy are the following.
These four variants apply whatever the algorithm used for performing the scalar multiplication operation.
Another operation is scalar multiplication or scalar-vector multiplication, in which.
This shows that complex multiplication is compatible with the scalar multiplication by the real numbers.
Essentially, a scalar multiplication of one of the first two group elements is equivalent to.
Now put Define the addition operation as and the scalar multiplication as on.
A geometric interpretation of scalar multiplication is that it stretches, or contracts, vectors by a constant factor.
It suces to show that V is closed under vector addition and scalar multiplication.
What is the difference between scalar multiplication and matrix multiplication?
This set forms a supermodule over R under supermatrix addition and scalar multiplication.
Finally, we introduce a method to optimize scalar multiplication on elliptic curves for small scalars.
The cross symbol generally denotes a vector multiplication, while the dot denotes a scalar multiplication.
Vector addition is just field addition, and scalar multiplication is just field multiplication.
Scalar multiplication of formal sums is defined as follows, If is in the field, then.
It 's not closed under multiplication or scalar multiplication.
Similarly, the right scalar multiplication of a matrix A with a scalar λ is defined to be.
Now, let us do the same thing with scalar multiplication.
According to one embodiment, the scalar multiplication operation is implemented by a Montgomery ladder.
Rn is, and what a vector is, and what vector addition or scalar multiplication is.
If we define addition and scalar multiplication on the set of derivations at x { \ displaystyle x } by.
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The following multiplication rates shall apply
Examples of using Scalar
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Graphical representation of scalar fields of two variables
Complex scalar fields represent charged particles
Selects a value for scalar gamma correction
