... specification of
the players' preferences ina Bayesian game contains more information than is necessary. (This redundancy has an
analog ina strategic game: to define a Nash equilibrium of a ... from his
signal anything about the other players' information.
As ina strategic game, each player cares about the action profile; in addition he may care about the state of nature.
Now, ... of an extensive game. A
strategic game is a model of a situation in which each player chooses his plan of action once and for all, and all
players' decisions are made simultaneously (that...
... 120
Boundary-Layer Separation 120
Drag Coefficient and Behavior in the Wake of the Cylinder 120
THE LUBRICATION APPROXIMATION 157
TRANSLATION OF A CYLINDER ALONG A PLATE 163
CAVITATION 166
SQUEEZING ... generally any nth rank tensor (in E
3
) can be expressed as a linear combination of the 3
n
unit n-
ads. For example, if n=2, 3
n
=9 and an n-ad is a dyad. Thus a general second-rank tensor can ... using Cartesian
coordinates. Often, however, we can take advantage of symmetry ina problem by using another
coordinate system. This advantage takes the form of a reduction in the number of independent...
... or in nite, and a single point is
counted as an interval. Since a path is a map one can speak about its image,
restrictions, etc.
A length structure on a topological space X is a class A of admissible
paths, ... path for maps of intervals: a path
γ ina (topological) space X is a (continuous) map γ : I → X defined on
an interval I ⊂ R. By an interval we mean any connected subset of the
real line; it may ... class and the correspon-
dence have to possess several natural properties; in all reasonable examples
(and in particular in all examples in this book) these requirements are au-
tomatically satisfied.
From...
... function. In contrast to local extreme values, we can also consider
global
or
absolute
maxima and minima.
A function is said to have a
global maximum
at in its domain if for all in the
domain of
.Itissaidtohavea
global ... motion at all is
taking place. It appears that the atmosphere becomes thinner in some way as height increases, and
that, as a result, it is difficult to inhale sufficient air by normal b reathing. In ... open intervals. If has a local
extreme value at a point
in its domain, then either or does not exist.
A
stationary point
of a function is a point for which . Thus local maxima and
minima of smoo...
... whose real and imaginary parts are each
between
4
and
-
i.
Show that this means that we can divide one
Gaussian integer
a
by another one
/3
and obtain a Gaussian integer
quotient along ... signature "HEADQUARTERS'.'
(a) Find the deciphering transformation and read the message.
(b) Find the enciphering transformation and make
a
coded message
that inpersonates headquarters ... Compare using the repeated squaring method to
find with the Euclidean algorithm
as
an efficient means to find
a- ' mod
p
when (a) a has almost as many digits
as
p, and (b) when a
is...
... brain associated with language
and serial processing. In addition, and perhaps contrary to expectation, the
translator must use areas of the brain which deal with spatial mechanical
processing. ... human being. In TCM, yin and yang and the fi ve elements ‘are of
practical signifi cance in explaining physiological activities and explaining
pathological changes in guiding medical practice’ ... like stirring, grinding, and spinning. A Chinese pain that feels ‘sour’
is probably felt by a British patient as a ‘dull ache’. The translator must feel
that sour pain as a Chinese patient feels...
... dominant strategy; Games in which exactly one player
has a dominant strategy; Games in which neither player has a dominant strategy and there
are three equilibria; Games in which neither player ... there
is also inertia: the probability of staying put (and playing the same action as in
the last period) is always positive.
The idea is that players simultaneously choose actions a
i,t
at each time ... words, any convincing arguments for i playing µ
i
involve i acting as if they are
solving the problem
max
a
i
A
i
u
i
(µ \a
i
),
that is, acting as if they know
that everyone else is playing their...