Proof. First, we show that F [x, y]/(y−x) ∼= F [t]. Let φ : F [x, y]→ F [t] be an homomorphism given by φ(x) = t, φ(y) = t and φ(f) = f (for all f ∈ F ). Note that the kernel of the homomorphism is precisely (y−x), therefore by the 1st isomorphism theorem F [x, y]/(y−x) ∼= F [t]. Furthermore since F [t] is an integral domain, so is F [x, y]/(y − x). Now, we will show that F [x, y]/(y − x) has z...

[Purpose] We investigated the effects of individual strengthening exercises for the stabilization muscles on the nutation torque of the sacroiliac joint in a sedentary worker with nonspecific sacroiliac joint pain. [Subject] A 36-year-old female complained of pain in the sacroiliac joints. [Methods] The subject performed individual strengthening exercises for the stabilization muscles for nutat...

CONTEXT Core training specifically for track and field athletes is vague, and it is not clear how it affects dynamic balance and core-endurance measures. OBJECTIVE To determine the effects of a 6-week core-stabilization-training program for high school track and field athletes on dynamic balance and core endurance. DESIGN Test-retest. SETTING High school in north central West Virginia. ...

Background. Low back pain is a significant issue in the field of health. Therefore, addressing new therapeutic approaches seems necessary. Objectives. The present study examined the effect of combining core stability with stretching exercises on pain intensity and motor function in people with chronic nonspecific low back pain with and without hyperlordosis. Methods. The research method was q...

[Purpose] This study was undertaken to investigate the effects of the balance exercises with a Swiss ball on static and dynamic balance abilities in elderly (≥65 years) subjects. [Subjects and Methods] Twenty elderly subjects with no relevant orthopedic history of a back condition were selected for trunk stabilization exercises with a Swiss ball (Thera-Band, USA). The subjects performed these t...

objective: the theraputic exercise is regarded as one of the most important theraputic interventions in the chronic low back pain patients. stabilization exercise is among the most significant practical ones in these patients. the study of the effects of these exercises on the variability of trunk muscles postural strategies and the ability in normalizing these strategies are among the uncertai...

CONTEXT Therapeutic exercises are frequently prescribed to patients with low back pain. Numerous exercise programs for patients with low back pain have been described. Many of these treatment programs are based on 1 of 2 popular rehabilitation strategies: a motor control exercise approach or a general exercise approach. DATA SOURCES PubMed clinical queries from 1966 to March 2013 for keyword ...