For example, participants exposed to the ascending reciprocity induction sequence end more sessions early in comparison to participants exposed to a descending sequence (to avoid a possible experimental artifact, the participants had the option of being reciprocal with the confederate's placings in his/her own puzzle by placing in turn pieces in the confederate's puzzle, or end the session early, by pressing the End key when only his/her own puzzle was completed to nullify the option of being reciprocal).

In these cases, participants matched the nonplacement of pieces in the remote puzzle, and, following the confederate, placed all their pieces in their own, local, puzzle: In contrast to ascending sequences, during the first two phases of descending sequences confederates place all or a large number of pieces in the participants' puzzle fostering partial altruistic interactions in such a way that participants, in some cases, may continue placing their pieces in the confederates' puzzle in spite of the fact that reciprocal responding is progressively restricted.

Our unitary Hessenberg matrix A is now factored as a descending sequence of core transformations (n = 8)

We can use a turnover to pass a core transformation through a descending sequence as follows:

Because x(k) > [lambda] min([x.sup.(0)]) + (1 - [lambda])x(k), when [gamma] > 0, whether [x.sup.(0)] is a monotonic ascending sequence, a monotonic

descending sequence, or an oscillation sequence, D is the strengthening buffer operator.

The permutations in the class [Av.sub.n](132, 312, 1234) are built by taking the elements n - 2, n -3, ..., 2, 1 in a

descending sequence, and then inserting n - 1 and n somewhere along the sequence, with n - 1 on the left.

Two years ago, when my nine-year-old student was at the late-elementary stage of piano instruction, I said things like, "Is the next phrase identical, similar or different than the previous phrase?" And last week, when my eleven-year-old student was playing intermediate-level repertoire, I said, "With which motive in the next phrase does the

descending sequence begin that causes this phrase to decrescendo?"

Describing the novel's basic structure, consisting of 'West' (nine chapters in ascending numeric sequent), 'Bridge', and 'East' (nine chapters in

descending sequence, which is usually interpreted as a pyramid), Fiddian proposes a more complex arrangement of wheels, corresponding to pre-Columbian cosmogony, with the bridge serving as a fulcrum between cyclical and linear times.

Moreover, we can construct a special pattern (called an X-pattern), such that we start on top of the matrix with a descending sequence of rank expanding Givens transformations, and on the bottom with an upgoing rank decreasing sequence Givens transformations.

if (processor==local) u1=[R1(1,1)./v1(1);u1]; Perform the descending sequence of Givens transformations for i=1:n1-1 M=[R1(i,i:n);u1(i+1)*v1(i),R1(i+1,i+1:n)]; [c,s,M] = Givensexp(M,v1(i:i+1)); b1(i:i+1)=[c,s;-conj(s),c]*b1(i:i+1); % Update the representation of the matrices R and u u1(i:i+1)=M(1:2,1)./v1(i); R1(i,i)=M(1,1); R1(i:i+1,i+1:n)=M(1:2,2:end); end end if (processor==remote) % Perform the ascending annihilating sequence of Givens % transformations.

5-10), points out that trail running engages in effort muscular chains through isotonic contractions, concentric, excentric and isometric (in

descending sequences), negociating optimal functional relationships between agonist and antagonist muscles (stabilisers, fixers and synergists).

In this kind of vocalization the object should be to produce on one vowel the sudden contractions and expansions of the vocal chink from note to note in ascending and

descending sequences with increasing or decreasing power, sometimes in strict time, sometimes ad libitum, but always firmly and clearly.