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Probably the earliest major result was obtained in 1714 by the English mathematician Brook Taylor, who calculated the fundamental vibrational frequency of a violin string in terms of its length, tension, and density.
This paper demonstrates a progressive rightward shift in the muscle length tension relationship.
Basal scour arc length, tension crack length and width decreased with initial channel width and increased with time, flow discharge and bed slope.
Assuming all of the discrepancy between the theoretical and actual length tension relation is due to compliance, a correction factor can be generated.
The descending limb of the length tension relationship was not fully examined, because the preparations tended to break at lengths above Lopt.
With the addition of hip adduction there is a stretch to the VMO muscle, which would alter length tension properties, thus contributing to an enhanced contraction force.
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Optimal tensions for each bronchus were established by performing standard-length tension responses.
Static stretching the same areas of tightness immediately after foam rolling will then help to rebalance the length-tension relationships between opposing muscle groups".
The similarity in shape for the force-velocity and length-tension relationships between smooth and striated muscle suggests that in smooth muscle both a cross-bridge mechanism and a sliding of contractile filaments must occur.
Experimental length-tension relations were then measured for each of these muscles and compared to predictions.
This is achieved through maximization of the length-tension relationship of the deltoid and remaining cuff musculature [27].
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