Sentence examples for follows for instance from inspiring English sources

From this condition it follows, for instance, that the Volterra operator acting on the Hardy space Hp of the unit disk determines the topology of Hp for any p∈[1,∞].

This follows for instance from the fact that a finitely generated nilpotent group satisfies a minimal condition for normal subgroups while a branch group not.

As an immediate corollary, it follows for instance that μ ∈ L q implies that D u ∈ L n q / ( n - q ) whenever 1 < q < n.

According to the property that the functions from (2.19) are dense in, it follows, for instance, that for any, there exists a double sequence such that in the sense of the canonically induced -norm: (2.20).

Indeed, it is well known that univariate polynomials of degree at most (n) bounded by 1 on ([-1,1]) are also bounded by an absolute constant on the larger interval ([-1-1/n^2,1+1/n^2]), this easily follows, for instance, from the classical Remez inequality.

"I think it would be difficult for families on either side of the dark time in Northern Ireland if you were to follow, for instance, that advice and put in place what the attorney general recommended".

The Cluj Arena was inaugurated in 2011 with concerts by Scorpions and Smokie, the main event drawing over 40,000 people; other events followed, for instance Roxette in 2012 and Deep Purple in 2013.

The palindromic score function works as follows: for every instance of a small RNA aligning to the genome, the alignment plus 50 bases up and down stream were extracted.

The 'square root' of a positive bounded self-adjoint operator on H can be defined as follows (see, for instance, [[1], p.240]).

That is, it remains -ma following vowels, or following the consonants [r], [l], [w] and [j], but when it follows [p], for instance, it assimilates in manner and place, and becomes /-pa/, as in dup-pa 'sit'sit

The absolute value |X| of X ∈ L(R) is defined as follows (see for instance Kaleva and Seikkala[5]): X t = max X t, X − t, if t > 0 = 0, if t > 0. Open image in new window.