Based on an idea that goes back to Rothaus (J. Funct. Anal. 39 (1980) 42; 42 (1981) 110), we prove that if n⩾4 is even, then the log-Sobolev constant and the spectral gap satisfy α=λ2.
While redistricting reformers advanced a quantitative test called the "efficiency gap" to satisfy Kennedy's desire for an across-the-board measure, the liberal Justices suggested a more simple eye test.
FB, it seems to me, provides the technological crutch that can bridge the gap — to satisfy our Stone Age need to stay connected but in group sizes hitherto unheard of.
A datum is regarded as an outlier and is treated as a data gap if it satisfies: w(t)>k{sigma}_{mathrm{MAD}} (4 where σ MAD is the median absolute deviation and k is the amplifier.
Many firms have started to make large contributions to bridge some of the gap and to satisfy statutory requirements.
After countless hours taking in mantras like "I can because I think I can" (coupled with an image of a Nike-clad thigh gap) and "Junk food satisfies you for a minute -- being fit satisfies you forever," she was motivated to begin running and eat healthier.
Since the index only marks the first position that satisfies the gap range, we still need to check if the following positions satisfy the gap range.
For example, for position x = 5 (at index 6), the first position in P (GAAC) that satisfies the gap range [1,3] is 10 (since in this case there are 3 gaps between the end of TA at position 6 and start of GAAC at position 10), and it occurs at index 6.
Suppose that (A_{k} z)=sum_{n=0}^{infty}c_{lambda_{n}}z^{lambda_{n}}) is an entire function, and the sequence of exponents ({lambda_{n}}) satisfies Fabry gap condition (1.3), then the series (sum_{n=0}^{infty}c_{lambda_{n}}z^{lambda_{n}}) is called a Fabry gap series.
Starting at the first index in P i, that satisfies the gap range with respect to the last position in F, we continue to compute all such positions j' ∈ [ j, | P i |] that satisfy the gap range (line 3).
Note that at each suffix position i, since j only marks the first position in P i +1 that satisfies the gap constraints, we also need to consider all the subsequent positions j' > j that may satisfy the corresponding gap range.
