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Adams's method is the unique merge-proof divisor method; Webster's method is neither split-proof nor merge-proof, but it is "coalition neutral": when votes are distributed randomly (with uniform remainders), a coalition is equally likely to gain a seat or to lose a seat. [7]: Prop.9.4
The Jefferson/D'Hondt method favors larger parties while the Webster/Sainte-Laguë method doesn't. [9] The Webster/Sainte-Laguë method is generally seen as more proportional, but risks an outcome where a party with more than half the votes can win fewer than half the seats. [31] When there are two parties, the Webster method is the unique ...
The Sainte-Laguë or Webster method, first described in 1832 by American statesman and senator Daniel Webster and later independently in 1910 by the French mathematician André Sainte-Lague, uses the fencepost sequence post(k) = k+.5 (i.e. 0.5, 1.5, 2.5); this corresponds to the standard rounding rule. Equivalently, the odd integers (1, 3, 5 ...
Since Jefferson was the first method used for Congressional apportionment in the United States, this violation led to a substantial problem where larger states often received more representatives than smaller states, which was not corrected until Webster's method was implemented in 1842. Although Webster's method can in theory violate the quota ...
Linear-fractional programming — objective is ratio of linear functions, constraints are linear Fractional programming — objective is ratio of nonlinear functions, constraints are linear; Nonlinear complementarity problem (NCP) — find x such that x ≥ 0, f(x) ≥ 0 and x T f(x) = 0; Least squares — the objective function is a sum of squares
Webster's method yields the same result (though this is not always the case). Otherwise, all other methods give a different number of seats to the parties. Notice how the D'Hondt method breaks the quota rule (shown in red text) and favors the largest party by "rounding" an ideal apportionment of 35.91 up to 37.
Learning outcomes are then aligned to educational assessments, with the teaching and learning activities linking the two, a structure known as constructive alignment. [4] Writing good learning outcomes can also make use of the SMART criteria. Types of learning outcomes taxonomy include: Bloom's taxonomy; Structure of observed learning outcome ...
Learning goals - A teacher-developed description of what the student will know and be able to do at the end of a course based upon an overarching idea for the academic or elective discipline. A teacher will know that they have an effective learning goal when the knowledge or skill can be applied to life outside the classroom.