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Displaying 1061 - 1070 of 1212
An example is given where Newton's method converges but the limit does not satisfy the equation.
The author investigates the graph of a quartic polynomial with inflection points and finds many regularities, some involving the Golden Ratio.
The author states a "Master Theorem" from which, exploiting concavity, he deduces several classical inequalities.
The creation of 'extriangles' based on a given triangle is iterated, giving rise to four quadrilaterals each with area five times the area of the original triangle.
This paper offers a visual illustration of the fact that every octagonal number is the difference of two squares.
The author offers two examples that illustrate important central ideas in introductory linear algebra (independent or dependent vectors; invertible or singular matrices) which may aid students in...