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In this particular example, because the output is 90 degrees out of phase from the input, the Lissajous curve is a circle, and is rotating counterclockwise. When the input to an LTI system is sinusoidal, the output is sinusoidal with the same frequency, but it may have a different amplitude and some phase shift .
This results in a metric space that may not be proper (i.e. closed balls need not be compact). The definition of a relatively hyperbolic group, as formulated by Bowditch goes as follows. A group G is said to be hyperbolic relative to a subgroup H if the coned off Cayley graph Γ ^ ( G , H ) {\displaystyle {\hat {\Gamma }}(G,H)} has the properties:
The underlying cause of the Bowditch effect is an increase in the calcium concentration in the sarcoplasmic reticulum of cardiac muscle cells, and its increased release into sarcoplasm. [ 3 ] One of the explanations for an increase in the intracellular calcium concentration is the inability of the Na + /K + -ATPase to keep up with influx of ...
Brian Hayward Bowditch (born 1961 [1]) is a British mathematician known for his contributions to geometry and topology, particularly in the areas of geometric group theory and low-dimensional topology. He is also known for solving [2] the angel problem. Bowditch holds a chaired Professor appointment in Mathematics at the University of Warwick.
Geometric group theory grew out of combinatorial group theory that largely studied properties of discrete groups via analyzing group presentations, which describe groups as quotients of free groups; this field was first systematically studied by Walther von Dyck, student of Felix Klein, in the early 1880s, [2] while an early form is found in the 1856 icosian calculus of William Rowan Hamilton ...
The positive predictive value (PPV), or precision, is defined as = + = where a "true positive" is the event that the test makes a positive prediction, and the subject has a positive result under the gold standard, and a "false positive" is the event that the test makes a positive prediction, and the subject has a negative result under the gold standard.
Add it up, and it's the worst two-game stretch in Los Angeles Lakers history. The Lakers lost to the Heat 134-93 on Wednesday, that loss coming two days after a 109-80 loss to the Timberwolves.
Pre-test probability: For example, if about 2 out of every 5 patients with abdominal distension have ascites, then the pretest probability is 40%. Likelihood Ratio: An example "test" is that the physical exam finding of bulging flanks has a positive likelihood ratio of 2.0 for ascites.