Your English writing platform
Discover LudwigSuggestions(1)
Exact(7)
Often, when optimizing covariance matrices, an initial choice of a scaled identity matrix is used, but this in general cannot be done here, as generally T k is not a square matrix.
Generally, T always fulfills the equality 〈T x ,T y)〉="|λ|2〈x,y〉 for any elements x, y of the Hilbert C⁎-module.
Generally, T maybe is not contractive in R n with any equivalent norm even if system (2) is of exponential stability.
More generally, T is said to be asymptotically nonexpansive (cf. [1]) if there exists a sequence { k n } ⊂ [ 1, ∞ ) with lim n → ∞ k n = 1 such that ∥ T n x − T n y ∥ ≤ k n ∥ x − y ∥ for all x, y ∈ C and n ≥ 1.
For any sequence { b n }, we define a new sequence { T n } through the following method: T 1 = b 1, T 2 = b 1 + b 2, T 3 = b 1 + 2 b 2 + b 3, generally, T n + 1 = ∑ k = 0 n ( n k ) ⋅ b k + 1 for all n ≥ 2, where ( n k ) = n ! k ! ( n − k ) ! is the combination number.
For any sequence { b n }, a new sequence { T n } is defined by the following method: T 1 = b 1, T 2 = b 1 + b 2, T 3 = b 1 + 2 b 2 + b 3, generally, T n + 1 = ∑ k = 0 n ( n k ) ⋅ b k + 1 for all n ≥ 2, where ( n k ) = n ! k ! ( n − k ) ! is the combination number.
Similar(53)
Generally, T-shirts should be avoided anyway, but slogans bearing bad language, nude imagery or advertising a particular brand name are definitely not advisable (unless the deceased specifically requested such attire in his/her will; check with the family in advance).
Generally, α T n, x 0 B t ≤ k n α B ⋅ K n φ 0 t.
More generally, the t-isosurface of T shows the position of the front at time t.
Generation of TCR Tg mice generally requires T cell stimulation and cloning in vitro prior to amplification, processes which introduce biases into selection of the TCR that is ultimately chosen for TCR Tg mouse generation.
Generally, X t ― Open image in new window lies between X ― t B − p t − ― Open image in new window and X ― t B + p t + ― Open image in new window.
Write better and faster with AI suggestions while staying true to your unique style.
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