trisection


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trisection

[trī′sek·shən]
(mathematics)
The problem of dividing an angle into three equal parts, which is impossible to do with straight edge and compass alone.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Then, each load of 20 kg, 50 kg, and 70 kg was individually and in sequence applied at the point of trisection at the edge of the slope top of the dump model, and the deformation of optical fibers was surveyed when the surcharge stabilized.
As long as DIRECT selects the interval for the further trisection, the value of K can be updated for the new iteration by finding the lower right of the convex hull of the set of points ([[bar.c].sub.i], f([c.sub.i])), which can be realized by the conhull algorithm proposed in Bjorkman and Holmstrom [47].
As a result of not obtaining the optimal sensing time [tau] in a closed form expression from (is), we will adopt a simple trisection Algorithm to search the optimal [tau] that make
Kuo, "Microstrip realization of trisection synthesis with frequency-dependent admittance inverter," Progress In Electromagnetics Research, Vol.
Rasid, "X-band trisection substrate-integrated waveguide quasi-elliptic filter," Progress In Electromagnetics Research, Vol.
The proposed trisection filter with a center frequency of 2.66 GHz and a fractional bandwidth of 11% is designed and fabricated on the Rogers RO4350 substrate.
[3] suggested a trisection variant to retrieve the distance to uncontrollability to any desired accuracy with O([n.sup.6]) complexity.
A trigonal curve on [F.sub.n] (called also trisection) is a reduced curve C [subset] [F.sub.n] disjoint from [C.sub.[infinity]] and such that the restriction pro : C [right arrow] [P.sup.1] is a 3:1 covering of [P.sup.1].
Alsina: Trisection of angles, classical curves, and functional equations, Math.
The procedure is as followings: firstly, divide a straight wire (noted in iteration as "TO") of length l into three segments, then put two segments of length l/3 intersecting at a angle 90[degrees] on two sides of the wire at two trisection points respectively, forming a combination whose total length is 5l/3.
The dichotomy to the degree of complexity and the trisection to relationship of participants yield six different 'ideal-type' forms of problem contexts.