6,313 research outputs found
Kinesthetic imagery: does it exist and how can we measure it?
[Introduction]: The emergence of sport psychology has influenced how athletes train and compete. Increasingly, coaches and athletes are incorporating mental as well as physical skills into their training programs and competition routines. Imagery is one such mental skill. To
develop an imagery program tailored to the athlete three pieces of information are vital: the imagery ability of the athlete; the effect of imagery on performance; and the motive for using imagery. This paper explores measurement of the imagery ability of the athlete. Specifically,
the aim was to create new and valid measures of kinaesthetic imagery and examine the relationship these measures share with existing measures of imagery
Quadrant marked mesh patterns in 123-avoiding permutations
Given a permutation in the symmetric
group , we say that matches the quadrant marked
mesh pattern in if there are at least
points to the right of in which are greater than
, at least points to the left of in which are
greater than , at least points to the left of in
which are smaller than , and at least points to the
right of in which are smaller than . Kitaev,
Remmel, and Tiefenbruck systematically studied the distribution of the number
of matches of in 132-avoiding permutations. The
operation of reverse and complement on permutations allow one to translate
their results to find the distribution of the number of
matches in 231-avoiding, 213-avoiding, and 312-avoiding permutations. In this
paper, we study the distribution of the number of matches of
in 123-avoiding permutations. We provide explicit
recurrence relations to enumerate our objects which can be used to give closed
forms for the generating functions associated with such distributions. In many
cases, we provide combinatorial explanations of the coefficients that appear in
our generating functions
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