简介:Thetheta(t)-typeoscillatorysingularintegraloperatorshasbeendiscussed.Withthenon-negativelocallyintegrableweightedfunction,theweightednorminequalityoftheta(t)-typeoscillatorysingularintegraloperatorsisproved,andtheweightedfunctionhasreplacedbyactionofHardy-Littlewoodmaximaloperatorsseveraltimes.
简介:摘要两个顶点间由三条边相连,分别剖分此多重图的三条边a次、b次、c次所得到的图称为Theta图,即,这里,顶点数为。刻画了的Merrifield-Simmons指数和Hosoya指数,给出了其按内部路路长变化的序关系,在a分别为奇、偶数时给出了Theta图的Merrifield-Simmons指数和Hosoya指数的极大(极小)值,以及对应的极图。
简介:摘要ObjectiveBecause the reliability of repetitive transcranial magnetic stimulation (rTMS) in treating poststroke cognitive impairment has not been convincingly demonstrated, we systematically examined the effectiveness of this regimen with 2 protocols.MethodsWe randomly allocated 41 patients with poststroke cognitive impairment to receive 5 Hz rTMS (n=11), intermittent theta burst stimulation (iTBS; n=15) or sham stimulation (n=15). Each group received 10 stimulation sessions over the left dorsolateral prefrontal cortex. We performed the Repeatable Battery for the Assessment of Neuropsychological Status (RBANS) and the Beck Depression Inventory at baseline and after the intervention.ResultsThe 5 Hz rTMS group showed significantly greater improvement than the sham group in RBANS total score (P=0.006), attention (P=0.001) and delayed memory (P<0.001). The iTBS group showed significantly greater improvement than the sham group in RBANS total score (P=0.005) and delayed memory (P=0.007). The 5 Hz rTMS group exhibited a superior modulating effect in attention compared to the iTBS group (P=0.016). Patients without comorbid hypertension (P=0.008) were predisposed to favourable therapeutic outcomes.ConclusionsOur results demonstrated that both 5 Hz rTMS and iTBS were effective for poststroke cognitive impairment in terms of global cognition, attention and memory function; the domain of attention was susceptible to 5 Hz modulation. Treatment with 5 Hz rTMS may slow cognitive decline, representing both a pivotal process in poststroke cognitive impairment and an aspect of neuroplasticity that contributes to disease-modifying strategies.