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Let R be a linear subset of the space B(H) of bounded operators on a Hilbert space H with an orthonormal basis.
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A linear subset or the full nonlinear set of equations can be solved, in toroidal geometry, with no ordering assumptions.
The tree (T, <) seems to correspond to a naïve picture familiar to us all: a moment m is a temporary present; the set {n : n < m} corresponds to the past of m, which is unique; while the set {n : m < n} corresponds to the open future of m, each particular maximal linear subset of which corresponds to a particular possible future.
According to the Leibnizian, this construction of c* may not be permitted at all, since c* may in fact be a maximal linear subset which does not belong to C. The point is that in the Ockhamist semantics, any maximal linear subset of TIME is accepted as a chronicle.
A better strategy is to determine the best, possibly non-linear, subset of many software metrics for accurately estimating software quality.
When the value of the nestedly saturated linear feedback falls into a convex sub-hull, it can be expressed as a linear combination of the subset of all the auxiliary feedbacks that form the convex sub-hull.
The stable m-model was a linear combination of a subset of the original predictors.
SVMs allow the expansion of the information provided by a training data set as a linear combination of a subset of the data in the training set (support vectors).
It is clear that such a linear dependency on subsets of rows and columns can be represented as an outer product λ z T of two vectors λ and z.
In Section 'Diversity analysis of JNCC', we perform a diversity analysis, leading to an upper bound on the diversity order of any linear binary JNCC following our system model, and to a lower bound on the diversity order for a particular subset of linear binary JNCCs.
Let be a nonempty subset of a linear space.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com