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Furthermore, we find that this differential property is deeply related to permutations with maximal cycle length.
(B1) (E^0) is finite, (E^0 {setminus } H = varnothing ), and every maximal cycle is non-exclusive.
Hereby a high heat exchanger effectiveness and low pressure drops are favourable to achieve maximal cycle efficiency.
E is acyclic; (E^0) is infinite; (E^0 {{setminus }} H) contains at least one infinite emitter; E has an exclusive maximal cycle.
(B2) (E^0) is finite, E is not acyclic, (E^0 {setminus } H) consists of a nonzero number of finite emitters, and every maximal cycle is non-exclusive.
Dyspnea and perceived exertion ratings obtained with both modified Borg CR-10 and Dalhousie scales during maximal cycle exercise were compared in 24 healthy adults and 17 with various pulmonary disorders.
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For this we let (X subset H) consist of all the vertices of maximal cycles of E. Then by Remark 5.9 6), (H = overline{X} = bigcup _{k=0}^infty Lambda _k(T X))).
On the other hand, by our construction of the graph (E"), it inherits all the maximal cycles of E, which are all non-exclusive, and ((E")^0) is equal to the smallest hereditary saturated subset (with respect to (E")) containing all the cycles.
Cardiorespiratory fitness (VO2 ml/kg/min) was estimated by an incremental maximal cycle-ergometer test (Monark 829E Ergomedic, Vansbro, Sweden) as detailed elsewhere [ 23].
Maximal aerobic capacity was estimated from heart rate recordings during sub-maximal cycle ergometry using the Physical Work Capacity 170 protocol [ 22].
The purposes of the present study were: 1) to assess the test-retest reliability of balance in single-limb stance measured by stabilometry on a force platform as used in previous studies [ 3, 16- 19], and 2) to study the effect of short-duration, sub-maximal cycle ergometry, a standardized method of inducing fatigue [ 20], on balance in single-limb stance in healthy subjects.
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