The phrase "as proved for" is not correct in standard written English.
It seems to be an incorrect combination of words and does not convey a clear meaning. An example could be: "The results were significant, as proved for the previous studies."
Alternatives: "as demonstrated for" or "as established for".
We also derive and test two gradient descent based orthogonalization procedures for recurrent weights matrix, which considerably increase the memory capacity, approaching the upper bound, which is equal to the reservoir size, as proved for linear reservoirs.
However, as proved for instance in [19, Chapter IV, §1.4], the axioms (TR1 - TR3) imply that a distinguished triangle (2.9) is defined by (f:X rightarrow Y) up to a (non-unique) isomorphism; this together with (TR4) is equivalent to the octahedron axiom in its usual form.
It appears, therefore, that Su var)3-9 proteins, in contrast to other H3K9 methyltransferases, are generally non-processive enzymes, as proved for D. melanogaster Su var)3-9 [ 20].
BAP and BLP1 expressed by the AYE and B307-0294 strains, which both belong to sequence type 1, are functionally comparable, because unaffected by size changes which may influence their exposure on cell surface, as proved for repetitive S. aureus SDR proteins of different lengths [ 30].
An important quality of the Shannon index and the Gini coefficient is their independence of stand density as proven for example by Lexerød and Eid (2006).
Also, as proven for hemodialysis patients [ 23], atheromatosis is a risk factor for AAC in non dialyzed CKD patients.
In addition, also a systemic hypercoagulability, as proven for inhaled particles [ 31, 32], can be hypothesized for intravenously injected particles after distribution to several organs.
The control of the underlying inflammatory disorder can result in regression of the disease, as proven for some secondary amyloidogenic musculoskeletal disorders sharing clinical features with AKU.
This is in agreement with the observations of the update of the MACH-NC meta-analysis, but cannot be regarded as prove for the superiority of the one or the other chemotherapy regimen.
This leads to a quicker recovery, shorter hospital stay, a better aesthetic result, and an increased postoperative quality of life, as proven for some procedures after the introduction of laparoscopic surgery.
AS nettlesome as he proved for Roosevelt, it was against the more vulnerable Harry Truman that McCarran waged his fiercest fights.
