Ratio of arc length and straight-line distance between two points on a wave-like function
Calculation of sinuosity for an oscillating curve.Switchbacks on mountain road with high sinuosity at Luz ArdidenThe meandering Rio Cauto at Guamo Embarcadero, Cuba, is not taking the shortest path downslope. Therefore, its sinuosity index is > 1.Two ski tracks with different degrees of sinuosity on the same slope
Sinuosity, sinuosity index, or sinuosity coefficient of a continuously differentiable curve having at least one inflection point is the ratio of the curvilinear length (along the curve) and the Euclidean distance (straight line) between the end points of the curve. This dimensionless quantity can also be rephrased as the "actual path length" divided by the "shortest path length" of a curve.
The value ranges from 1 (case of straight line) to infinity (case of a closed loop, where the shortest path length is zero for an infinitely-long actual path[1]).
^Leopold, Luna B., Wolman, M.G., and Miller, J.P., 1964, Fluvial Processes in Geomorphology, San Francisco, W.H. Freeman and Co., 522p.
Sinuosity, sinuosity index, or sinuosity coefficient of a continuously differentiable curve having at least one inflection point is the ratio of the curvilinear...
populated by longer oxbow lakes than those with low sinuosity. This is because rivers with high sinuosity have larger meanders, and greater opportunity for...
channel of a river, stream, or other watercourse is measured by its sinuosity. The sinuosity of a watercourse is the ratio of the length of the channel to the...
or their reaches exist. Meandering rivers have a sinuosity value/ratio of greater than 1.5. A sinuosity value of less than 1.1 is a “straight” river. Between...
avoidance of the term meandering to describe this sinuosity, a phrase used to describe similar sinuosity observed in terrestrial fluvial systems. There seems...
path. For alluvial streams, straight and braided rivers have very low sinuosity and flow directly downhill, while meandering rivers flow from side to...
Teddington Lock is a complex of three locks and a weir on the River Thames between Ham and Teddington in the London Borough of Richmond upon Thames, England...
Estuary Strahler number (stream order) River valley River delta River sinuosity Alluvial rivers Anabranch Avulsion (river) Bar (river morphology) Braided...
which is dependent on many factors, including surface roughness and sinuosity. When field inspection is not possible, the best method to determine n...
reduction in sediment transport. Encouraging development of a natural stream sinuosity and a multi-terraced channel cross section appear to be key to maintain...
environments, like meandering rivers, the paleocurrent resulting from natural sinuosity has a natural variation of 180 degrees or more. Below are a partial list...
Florentine art, and is noted for its soft, stylized, decorative features, sinuosity of line, and courtly elegance. Simone's art owes much to French manuscript...
Estuary Strahler number (stream order) River valley River delta River sinuosity Alluvial rivers Anabranch Avulsion (river) Bar (river morphology) Braided...
characterized by: multiple bailey walls laid with irregular plans to follow the sinuosities of the outcrops; rounded and especially horseshoe-shaped towers; finely-cut...
Estuary Strahler number (stream order) River valley River delta River sinuosity Alluvial rivers Anabranch Avulsion (river) Bar (river morphology) Braided...
Bozzio, and Pat Mastelotto. The Window (1999) Scriptless Verse (2002) Sinuosity (2005) Spondaic Oblation (2007) NUDITYSUTRA (2014) Chadwick, Alex (January...
to the formation of sinuous channels (sinuosity of 1.3-1.5). Meandering channels are more sinuous (>1.5 sinuosity) than straight or sinuous channels, and...
(2020), Limits of space syntax for urban design: Axiality, scale and sinuosity. Environment and Planning B - Planning and Design, 47 (3), 508–522. van...
to reliably estimate the tortuosity of an animal's path: straightness, sinuosity, or fractal dimension?". Journal of Theoretical Biology. 229 (2): 209–220...
fundamental form for the extrinsic curvature of hypersurfaces in general Sinuosity Torsion of a curve Clagett, Marshall (1968), Nicole Oresme and the Medieval...
Robin who, while paddling through the Basin in 1803, wrote: After long sinuosities which form innumerable islands, among which the inexperienced traveler...
determined the southern border of the permafrost and explained the high sinuosity of the northern boundary of the taiga zone. In 1870 he accompanied Grand...
function, a curve or another mathematical object does not behave regularly Sinuosity – Ratio of arc length and straight-line distance between two points on...
Integral approximations Line integral Meridian arc Multivariable calculus Sinuosity Ahlberg; Nilson (1967). The Theory of Splines and Their Applications....
"A model for lateral hyporheic flow based on valley slope and channel sinuosity". Water Resources Research. 45 (1): W01501. Bibcode:2009WRR....45.1501C...
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