Now choose N large enough such that h + k N α < 1, so the map F : X → X is a contraction and hence, there exists a unique column vector x ∈ X which is the solution of the integral equation (4).
For tables containing information about the brain, gut and liver tissue associated novel miRNAs, there exists an additional column indicating whether a tissue associated novel miRNA is present in male/female or both.
An assessment of the plots shown in Figs. 14 and 15 indicate that progressive collapse is "sequence-dependent" and that there exists a critical sequence of column removals that results in the minimum number of removed columns before collapse is initiated.
(4) An assessment of the plots shown in Figs. 14 and 15 indicate that progressive collapse is "sequence-dependent" and that there exists a critical sequence of column removals that results in the minimum number of removed columns before collapse is initiated. .
For, there exists a matrix with orthonormal columns with size satisfying (D1).
(1) There exists an m-dimensional column vector e = ( e 1, e 2, …, e m ) T with e i > 0 ( i = 1, 2, …, m ) such that x ( n ) = λ n e is a solution of system (22).
There exists an m-dimensional column vector e = ( e 1, e 2, …, e m ) T with e i > 0 ( i = 1, 2, …, m ) such that x ( n ) = λ n e is a solution of system (22).
Since there exists a rotational flow in this column, a radial dispersion model is applied to model the gas and liquid phases.
Suppose now that a, b, c are three columns and there exists a row r such that M ra = M rc =1 and M rb =0.
In the rooted case, there exists a root taxon r such that M ri (P) = 1 for every column i.
