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Folk's carbonate rock classification details the relative proportions of allochems in the rock and the type of matrix. The classification scheme covers most common carbonate rocks , however the more inclusive although less precise alternative, Dunham classification , may be preferred in some instances.
In mathematics, Bendixson's inequality is a quantitative result in the field of matrices derived by Ivar Bendixson in 1902. [1] [2] The inequality puts limits on the imaginary and real parts of characteristic roots (eigenvalues) of real matrices. [3]
If the characteristic equation has a root r 1 that is repeated k times, then it is clear that y p (x) = c 1 e r 1 x is at least one solution. [1] However, this solution lacks linearly independent solutions from the other k − 1 roots. Since r 1 has multiplicity k, the differential equation can be factored into [1]
a term with real characteristic roots converges to 0 as t grows indefinitely large if the absolute value of the characteristic root is less than 1. If the absolute value equals 1, the term will stay constant as t grows if the root is +1 but will fluctuate between two values if the root is −1. If the absolute value of the root is greater than ...
[33] [34] Subsequent erosion of the mountains exposes the roots of the orogenic belt as extensive outcrops of metamorphic rock, [35] characteristic of mountain chains. [33] Metamorphic rock formed in these settings tends to shown well-developed foliation. [33] Foliation develops when a rock is being shortened along one axis during metamorphism.
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Stigmaria had a complex branching structure; thus, it is comparable to the rhizomes of the extant (living) relative, the quillworts (genus Isoetes).The stigmarian systems had rhizomorph axes that shows circular scars or a helical arrangement where the root-like appendages were formerly attached.
As noted by Jackson, [1] a seatearth is the layer of sedimentary rock underlying a coal seam. Seatearths have also been called seat earth , "seat rock", or "seat stone" in the geologic literature. Depending on its physical characteristics, a number of different names, such as underclay , fireclay, flint clay , and ganister, can be applied to a ...
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