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.
References in periodicals archive ?
The loads were applied gradually as concentrated load in displacement control method by being divided into trisection points with the use of 200 tons capacity actuator.
Intervals with the smallest lower bound of function [mathematical expression not reproducible] are selected for the further trisection.
Chang, "Microstrip parallel-coupled filters with cascade trisection and quadruplet responses," IEEE Trans.
In this paper, based on the idea of the trisection algorithm introduced in [3], we present a method to solve (1.
Finally, each vertex of M carries exactly one down-step which is not a trisection (its minimal half-edge).
41 Table 7 Results of Testing for Heteroscedasticity Sample Pre-TRA86 Group Post-TRA86 Group Trisection With Outliers Range of Y MSE Range of Y MSE 1 -692.
So clear is this trisection by now that we find everyone scrambling competitively to move up to "higher value added" economic production based on information-intensive technologies.
In the preceding section we were concerned with situations where a particular transformation (bisection, trisection, and so forth) generates all the nonzero intervals in a single cycle.
Tan, "A novel dual-band bandpass filter using generalized trisection stepped impedance resonator with improved out-of-band performance," Progress In Electromagnetics Research Letters, Vol.
In this paper, two triple-mode resonators with embedded inductive and capacitive cross coupling are proposed for use in trisection filters to create a zero in the upper or lower stopband.
At the next level, students can be presented with sequences of folds to produce a given state, such as the trisection of a segment, and asked to explain why, possibly in algebraic terms, the process works (see Hanna & Jahnke, 1996) for a discussion of types and purposes of proof).
The design of some advanced filters are discussed in Chapter 10, including selective filters with a single pair of transmission zeros, cascaded quadruplet (CQ) filters, cascaded trisection (CT) filters, cross-coupled filters, linear phase filters and extracted-poles filters.