Sentence examples for by a linear transformation from inspiring English sources
A holographic reduction transforms the computation to matchgates by a linear transformation that maps to (a tensor product space of) a linear space of dimension 2ℓ.
Indeed, when performing PCA, a given multivariate time series is transformed into the principal components by a linear transformation that projects the original time series into the eigen-base of the correlation matrix of the time series itself.
It follows from this that the transformation between the coordinates (t, x) and (t′, x′) of two inertial frames with relative velocity u must be related by a linear transformation.
The reference selection can be generalized by a linear transformation similarly as in Section 2.2.2.
In such solutions, the noise-free speech is estimated by a linear transformation of the observation vector.
Thus, under these two tariffs, the optimal consumption level is derived by a linear transformation of the random variable (B_1).
Next, we introduce a practical scheme known as linear precoding that can enhance the ergodic capacity of the channel by changing the eigenstructure of the channel by applying a linear transformation.
In essence, PCA rotates data by using a linear transformation.
The coded bits transmitted by are a linear transformation of the information bits from and, denoted as and, where both vectors are of length.
The parity-check matrix (A.7) of the overall decoder at shows that the bits transmitted by are a linear transformation of all the information bits,,, and.
This method projects the input feature vector x k onto a new space y k by applying a linear transformation W such that mathbf{y}_{k}=mathbf{W}^{T} mathbf{x}_{k}, (4).
