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In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve. [1] The evolute of an involute is the original curve.
The involute gear profile, sometimes credited to Leonhard Euler, [1] was a fundamental advance in machine design, since unlike with other gear systems, the tooth profile of an involute gear depends only on the number of teeth on the gear, pressure angle, and pitch. That is, a gear's profile does not depend on the gear it mates with.
The number a n can also be expressed by non-recursive formulas, such as the sum = = ⌊ ⌋!! ()!. The number of fixed points of an involution on a finite set and its number of elements have the same parity. Thus the number of fixed points of all the involutions on a given finite set have the same parity.
John Reichart decided to go "all in" this year by decorating every house on his block with Christmas lights for his wife who has Alzheimer's.
Intel's fall from grace seemed to happen all at once.Shares of the once iconic chipmaker plummeted 60% in 2024. The company posted the biggest loss in its 56-year history in its latest quarterly ...
At sections of the curve with ′ > or ′ < the curve is an involute of its evolute. (In the diagram: The blue parabola is an involute of the red semicubic parabola, which is actually the evolute of the blue parabola.) Proof of the last property:
NEW YORK (Reuters) -The man accused of killing a woman sleeping on a New York City subway car by setting her on fire after what prosecutors say was a night of heavy drinking pleaded not guilty to ...
GNU Octave is a scientific programming language for scientific computing and numerical computation.Octave helps in solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with MATLAB.