It then computes the resulting number of prefixes after expanding L to Q′.
With q ^ = [ q ^ 1,..., 1,... q ^ K ] Eq.5 now becomes L ^ q ^ = 0. Let L ^ k be the k th column of L ^. Expanding L ^ q ^ by column and rearranging gives the following well-conditioned problem: (7) ∑ k = 1, k ≠ j K L ^ k q ^ k = - L ^ j o r, L ^ ′ q ^ ′ = - L ^ j In Eq.7, L ^ ′ is the matrix L ^ with column j removed and q ^ ′ is q ^ with entry q ^ j removed.
The channel's most family-friendly hits are given an airing on BBC2's increasingly popular (and expanding) afternoon repeats service.
"Was it a jihadist or just a guy?" So the seventeen-year-old girl asks, on hearing the news, landing at once on the central black-comedy question as the annals of American mass murder expand this morning.
Not content with its existing roles as pub of choice for Generation Preload, mid-week curry house, and makeshift community centre, JD Wetherspoon is looking to corner the breakfast market, with price cuts (a traditional breakfast will have 40p shaved off its price, while coffee with free refills is dropping from £1.15 to 99p) and an expanded morning menu.
Conservatives continue to employ the strategy as predicted by Marc Ambinder last month: "Think back to the (Bill-Clinton/Joe Biden!) crime bill of 1994, when Republicans rallied their base against the legislation by ridiculing a tiny part of it -- proposals to expand midnight basketball leagues as a way of keeping kids off the streets and out of gangs.
The prior term for the vector of divergence times for each of the Y pairs of populations, T, can be expanded as (7) p (T ) = p (t ) p (τ | t ), where τ is an ordered set of divergence-time parameters { τ1,…, τ| τ |} whose length | τ | can range from 1 to Y, and t is a vector of indices (t1,…, t Y ), where t i ∈{1,…,| τ |}.
Conversely, a bar might represent a rather small shape in the morning and expand at night as people begin showing up for their post-work libation.
In the mobile startup tradition of quick product iteration, Path Two has hit the app store this evening — expanding beyond photosharing to people, place, music, chat and sleep mode sharing.
Katz's department must consider a confounding array of factors, from the N.F.L.'s expanded Thursday night package, which gives each team a game in a short week, to potential baseball playoff situations that could affect the availability of stadiums and parking lots in October.
Now, we consider the spectrum precoder G in the HC system and thus the transmitted data are pretreated by WFRFT matrix W α. Thereby, the spectrum of the HC system can be expanded from (7), expressed as S_{alpha}(f)=mathbf{a}^{T}(f cdot mathbf{G}mathbf{d}_{alpha}=mathbf{a}^{T}(f cdot mathbf{G}mathbf{W}_{alpha}mathbf{d} (9).
