L. R. Berrone, Decreasing sequences of means appearing from non- decreasing functions, Publ. Math. Debrecen 55,1-2, (1999), 53-72.L. R. Berrone. Decreasing sequences of means appearing from non- decreasing functions. Publ. Math. Debrecen, 55(1-2):53-72, 1999....
1Two non-decreasing sequences of nonnegative integers have different first terms. Each sequence has the property that each term beginning with the third is the sum of the previous two terms, and the seventh term of each sequence is N. What is the smallest possible value of N?( )A.55B....
DSolution-|||-The sequence of 1's ends at position 1,and the sequence of 2's ends at position 1+2,and the sequence of n's ends at position 1+2+...+n-|||-n(n+1)-|||-Therefore we want to find the smallest integer n that satisfies-|||-≥1993.-|||-2-|||-By trial an...
TL;DR - while the error model looks better, we still see little change in the abundance of some artifactual sequences (defined here as 1-mismatches to the true sequence), in particular A=>G and T=>C transitions which had very "flat" error model profiles. Some more detail: For our moc...
OPEN Articles An atlas of over 90,000 conserved noncoding sequences provides insight into crucifer regulatory regions Annabelle Haudry1,2,17, Adrian E Platts3,4,17, Emilio Vello3,4, Douglas R Hoen5, Mickael Leclercq3,4, Robert J Williamson1, Ewa Forczek5, Zoé Joly-Lopez5, Joshua G ...
The non-ergodic extended (NEE) regime in physical and random matrix (RM) models has attracted a lot of attention in recent years. Formally, NEE regime is characterized by its fractal wavefunctions and long-range spectral correlations such as number varia
We began with standard-FUS ultrasound sequences (single-component burst pulse sequence, Table1), as well as multi-component sequences29,31. Ferrara and colleagues29used primary radiation forces to push lipospheres towards capillary walls to enhance drug delivery. They tried to avoid aggregation of...
First, note that the order doesn't matter so we can sort the ai in non-decreasing order. Now, note that every interval's imbalance can be calculated with its largest and smallest value. We start adding the elements to sets from smallest to largest in order. Suppose we're adding the i...
This depends on the observation that each ω has an essentially unique (uniformly bounded multiplicity) sequence of return depths. Thus the estimate can be approached via purely combinatorial arguments very similar to those used in relation to Equation (17). Choosing δ small means the sequences ...
school-aged children age 6 to 13 years should sleep 9 to 11 hours, and teenagers age 14 to 17 years should sleep 8 to 10 hours,1 with similar decreasing sleep durations with increasing child age in the UK,7 reflecting the changes in circadian rhythm and homeostatic sleep processes during ...