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Its earliest annals (beginning in the reign of Julius Caesar) are laconic, except the entry for 755, which records in detail a feud between the West Saxon king Cynewulf and the would-be usurper Cyneheard.
where denotes the matrix with all zero entries except the entry which is equal to.
With this embedding, each character is represented as an m sized vector where all values are zero except the entry corresponding to the position in the alphabet of the found character (which has a value of 1).
Let us represent by vector e i of size 3 whose all entries are zero except the entry at the ith position which is 1 (i = 0, 1, 2).
Consider the perturbation matrix Δ = ( Δ 1 ⋯ Δ h ) being Δ j = δ j S j ≥ O and S j ∈ R + h × n j has all entries zero except the entry of position ( h − j + 1, n j ) which is equal to 1, j = 1, …, h.
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Almost symmetric here means that the entries above and below the main diagonal are the same except the entries (a_{M}) and (c_{M}).
After a media event on October 22, 2013 Apple discontinued all second generation MacBook Pros except for the entry 2.5 GHz 13" model.
There's not a hint of seeing a new ecosystem of news emerge -- the ecosystem we study and support at CUNY -- except as the entry of nonprofit entities that, by their existence, give up on the hope the market will sustain news.
Let (mathbf {e}_{i}in {mathbb {Z}^{n}}) be an n-tuple with all zero entries except the ith entry being one.
12 A function (fcolon mathbb {Z}^{2}rightarrow {mathbb {R}_) is multimodular if and only if it is (1) supermodualr: Δ i Δ j f(x)≥0 and (2) superconvex: Δ i f(x + e i )≥Δ i f(x + e j ) for all i,j∈{1,2}, where Δ i f(x) = f(x) − f(x − e i ) and (mathbf {e}_{i}in {mathbb {Z}^{2}}) is a 2-tuple with all zero entries except the ith entry being one.
Suzuki has also renamed its cruisers as Boulevards, except for the entry-level GZ250.
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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