According to Achlioptas's statistical results [35], if the v ij is a random variable with the symmetric Bernoulli distribution, then the matrix V is able to achieve the dimension reduction and have the approximate distance-preserving property as described in inequality (13).
Once they have achieved the proper dimensions, the velvet starts to dry out, cracks and breaks off, while the antler's bone dies.
Role of Self help group (SHG) and Microfinance Institution (MFI) in achieving the economic dimension of this goal is note-worthy.
In order to describe how certain degrees of objectivity can still be reached, Longino has formulated "four criteria necessary for achieving the transformative dimension of critical discourse" [13, 14].
A random sampling matrix is adopted in place of the Walsh-Hadamard matrix, which is used in TSPW arrays, to achieve the reduced-dimension transformation.
The majority felt that achieving the aforementioned dimensions of recovery was dependent on housing, as a stable roof over their heads would alleviate the need to focus on survival concerns, and this combined with an anticipated increased sense of independence and security that housing would bring, would provide them with the opportunity to instead concentrate on their recovery-oriented goals.
Physical Role was the only dimension that achieved the threshold established for MID (bold numbers), see text for explanation.
Physical Role was the only dimension that achieved the threshold established for MID because the change (0.67 for ES and 0.63 for SRM) exceeded the minimum required to be clinically perceived by the patient on the Physical Role (0.65 for ES and 0.59 for SRM).
The findings indicate that five different levels of maturity can be achieved across the dimensions strategies, processes, systems, and people.
It is observed that significant amounts of planar stress wave attenuation can be achieved, if the dimensions and positions of the circular voids and inclusions are selected appropriately.
