The phrase "a certain dimensional" is not correct in standard written English.
It may be intended to describe a specific dimension or aspect, but it lacks clarity and proper grammatical structure.
Example: "In the study of physics, we often refer to a certain dimensional aspect of the universe that influences our understanding of space and time."
Alternatives: "a specific dimension" or "a particular dimensional aspect".
The Guardian's kit includes a template showing you the shape and size of it, and at a push you simply cut this out, but it would have a certain two-dimensional quality.
Such a method is based on a certain finite-dimensional matrix representation of the derivative d/dx obtained through Lagrange's interpolation.
In [A. V. Kosyak, Funktsional Anal. i Prilozhen.24 (1990), 82], a similar construction was done for a certain infinite-dimensional matrix group.
There is also a certain one-dimensional Americanness at work: many of his examples and case studies are American and he spends rather too much time in New York, at one point even riffing at length about the founder of the literary agency that represents him.
The generalization allows a fast numerical implementation of a certain two-dimensional integral that appears in the description of the plasma dispersion in curved geometry, by reducing it to a single integral over a function involving the generalized plasma dispersion function.
A certain two-dimensional lattice model with nearest and next-nearest neighbor interactions is known to have a limit-periodic ground state.
Assume that a nonlinear mapping φ : x i ∈ ℝ m → φ(x i ) ∈ ℝ H is introduced, where H is a certain high-dimensional feature space.
It is naturally represented on a certain infinite-dimensional spinor oscillator module (mathfrak {a} (V)) —more concretely, the complex of holomorphic differential forms on the vector space (mathbb {C}^n otimes mathbb {C}^N and the irreducible representation is that on the subspace (mathfrak {a}(V)^K) of K-equivariant forms.
SatOne's abstract patterns comprise a certain three-dimensional element that engages your sense of perspective and pops out of the frame.
You see protagonist Dave's familiar face as well as a certain inter-dimensional star gate intercut with the famous Apollo astronauts, while songs Requiem For Soprano and Also Sprach Zarathustra swing the mood between ominous and epic in the background. .
