Definition & Betydelse | Engelska ordet ASYMPTOTE

Definition av ASYMPTOTE

1. (matematik) asymptot

Exempel på hur man kan använda ASYMPTOTE i en mening

• In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity.
• A central conic is called an ellipse or a hyperbola according as it has no asymptote or two asymptotes.
• This is based on the notion of an asymptotic function which cleanly approaches a constant value (the asymptote) as the independent variable goes to infinity; "clean" in this sense meaning that for any desired closeness epsilon there is some value of the independent variable after which the function never differs from the constant by more than epsilon.
• A great implication that the tractrix had was the study of its surface of revolution about its asymptote: the pseudosphere.
• The asymptotic directions are the same as the asymptotes of the hyperbola of the Dupin indicatrix through a hyperbolic point, or the unique asymptote through a parabolic point.
• Theorem (Gregoire de Saint-Vincent 1647) If bc = ad, then the quadrature of the hyperbola xy = 1 against the asymptote has equal areas between a and b compared to between c and d.
• However, the specification of uniform discrimination and zero left asymptote are necessary properties of the model in order to sustain sufficiency of the simple, unweighted raw score.
• The strength-duration curve for a typical nerve membrane is slightly skewed from the predicted graph, in that the curve flattens out in response to repetitive stimulation reaching an asymptote representing rheobase.
• The asymptotes of a truncus are found at x = -b (for the vertical asymptote) and y = c (for the horizontal asymptote).

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