U+ = {[λ1̇ : λ2̇]|λ1̇ 6= 0}, φ+ : [λ1̇ : λ2̇] 7→ λ2̇ λ1̇ = λ+, U− = {[λ1̇ : λ2̇]|λ2̇ 6= 0}, φ− : [λ1̇ : λ2̇] 7→ λ1̇ λ2̇ = λ−. We can immediately see that on the overlap U+ ∩U− we have that λ+ = λ−1 − . We can immediately compute that the map ψ+− = φ+ ◦ φ−1 − : φ−(U+ ∩ U−)→ φ+(U+ ∩ U−) satisfies ψ+−(λ−) = φ+ ◦ φ−1 − ◦ φ−([λ1̇ : λ2̇]) = φ0([λ1̇ : λ2̇]) = λ+. (1.2) To understand the bundle O(−1) we consider the two...

normal 0 false false false en-us x-none fa microsoftinternetexplorer4 background : strength improvement of the shoulder muscles is a major goal in rehabilitation or athletic conditioning programs. the purpose of this study was to determine the effect of shoulder core exercises on the isometric torque of glenohumeral joint movements. methods : a total of 36 healthy females with no history of sho...

Then, for all x ∈ R, g(x) = x−1 < x = i(x) and i(x) = x < x+1 = h(x). Hence g < i < h. (b) To prove that 〈Φ, <〉 is an irreflexive ordering, it suffices to prove that < on Φ is irreflexive and transitive. (We do not need to prove that < on Φ is strictly antisymmetric because, according to Exercise 20.2, this already follows from irreflexivity and transitivity.) To prove that < on Φ is irreflexiv...

Background Individuals with overweight and obesity (OW/OB) have poor performance in weight-bearing exercises, resulting low functional capacity. The dynamic neuromuscular stabilization (DNS) technique was created to engage the core-postural chain conjunction core muscles, generating enough intra-abdominal pressure dynamically support spine through muscular activity. DNS is a strategy that empha...

Exercise is recognized as one of the optimal managements for chronic low back pain. Among the numerous therapeutic exercises, the approaches of traditional strengthening exercise and segmental stabilization exercise are considerably different. The purpose of this study was to compare the effectiveness of the two different exercise approaches, on chronic low back pain through evaluating previous...