The phrase "a linear connection" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or any field discussing relationships or correlations that can be represented in a straight line.
Example: "In our analysis, we found a linear connection between the variables, indicating a direct relationship."
Alternatives: "a straight relationship" or "a direct correlation".
Epidemiological studies proposed a linear connection between developing dementia including Alzheimer's disease (AD) and obesity.
We show that the Levi-Civita connection coincides with a linear connection induced by the reductive structure, a fact which allows for the easy computation of the geodesic curves.
Above all, "you need to be able to articulate the value of your degree," she said, especially if you are in the liberal arts, and there isn't a linear connection between what you majored in and the job you are seeking.
A linear connection D X is compatible with d-metric °g if D X ° g = 0, Open image in new window (35).
For numerical estimation of the indium content x in In x Ga1-x droplets, we suppose a linear connection between x and γ: x = a γ + b.
Alternatively, we use a linear connection layer to concatenate the dual output (original reverberant and dereverberated feature) front-end and the pre-trained back-end as shown in Fig. 5.
A metric \(g\) on a manifold determines a first-order conformal structure on the manifold, namely, an equivalence class of conformally related metrics A metric \(g\) also uniquely determines a symmetric linear connection \ \Gamma\) on the manifold.
Benefiting from the multiple signal amplification mechanism, the proposed sensor reveals a good linear connection between the peak current and logarithm of analyte concentration in range of 0.0001 1 × 10 11 mol L−1 with a detection limit of 1.25 × 10 17 mol L−1 (S/N=3).
Weyl characterizes the notion of a symmetric linear connection as follows: Definition A.1 (Affine Connection) Let \(T M_{p})\) denote the tangent space of \(M\) at \(p \in M\).
If the manifold V is pseudo-Riemannian, there is a unique linear connection (the Levi-Civita connection) ∇, which is metric, ∇g=0, and torsionless, ∇T=0but this connection is not adapted to the nonintegrable distribution induced by N i b ( u ) Open image in new window.
Therefore, the metric field in Riemannian geometry determines a unique symmetric linear connection, a "metric connection" that satisfies the length-preserving condition of parallel transport.
