Sentence examples for form sum from inspiring English sources

We study a partial differential operator H with analytic coefficients, which is of the form "sum of squares".

Let A and B be non-negative self-adjoint operators in a Hilbert space such that their densely defined form sum H=AB obeys dom(Hα)⊆dom(Aα)∩dom(Bα) for some α∈(1/2,1).

It is called the form sum.   3.

It is called the form sum. The proof is really simple.

Let (e^{-tdot{C}}) be the semigroup associated to the closed form sum (q_1+q_2).

Let h be the closed form sum (sum _{j=1}^{nu } -D_j^2+V).

We apply the results to give criteria of essential selfadjointness for quadratic form sums and to give a characterization of w*-continuous, Markovian semigroups on M, which commute with the modular automorphism groupσφ0t.

Earlier results on Trotter product formula for form sums include Chernoff [88, 89, 91], Faris [146] and Kato himself [344].

In this section, we give some closed form sums of (W_{k,t}^{( mathbf{ s} )}[ {mathbf{ m};p} ]) through q-polylogarithms, q-harmonic numbers and other q-series.

Respondents receiving preoperative PFMT had significantly better self-report urinary incontinence at 3 months after radical prostatectomy than those who did not receive preoperative PFMT (mean [ sd ] ICIQ-UI Short Form sum-scores: 6.2 [5.0] vs 9.2 [5.8], P = 0.002).

The proportion of completely continent respondents, i.e. those with an ICIQ-UI Short Form sum-score = 0, (13/79, 16%) was, however, considerably lower than that reported in the treatment arm of another trial (8/16, 50%) [ 13].