...
quantum theoryof collisions (so far as it affects thetheory of
the
transport
phenomena in gases), and onthetheoryof conduction and diffusion in
ionized gases, in the presence of electric ... in the direction of
finding approximate solutions ofthe Boltzmann equation in regions having a
thickness ofthe order of a mean free-path. These new solutions were, of
course, beyond the ... range.
The pioneers in the development ofthe kinetic theoryof gases employed
such probability considerations intuitively. Their work laid the foundations
of a now very extensive branch of theoretical...
... extension. The restriction of elements of
g to L
′
are automorphisms of L
′
with L as fixed field (by definition of
L). By finite galois theory these are all the elements ofthe galois group
of L
′
/L. ... element of K. Then
i
α
i
σ
i
ω = 0
6. Simple extensions
37
Theorem 5. If e is the exponent and p
f
the degree of inseparability of
finite extension K of k, then e = f ⇐⇒ K/k is simple.
Proof. ... automorphism of L
′
/L comes from an
elements of g.
Introduction
There are notes of course of lectures on Field theory aimed at pro-
viding the beginner with an introduction to algebraic extensions,...
... predicted
on the basis ofthe Nambu equations of motion, and anti-rigid if the correction
terms act to enhance the curvature ofthe world sheet. Numerical simulation of
the collapse of a circular ... (1)-invariant,
36
The elements of string dynamics
reaction of this field onthe string’s dynamics. The problem of self-consistently
coupling the gravitational field to the string’s motion is one ofthe most ... Thus there will be
little mention ofthe evolution ofthe primordial string network or its implications
for the formation of large-scale structure in the Universe. Although the actual
value of the...
... )ofcomplex numbers
of length 1 considered as a group under multiplication. We give
the ori-
entation induced from the standard orientation ofthe complex plane, and let
ON THE K -THEORY OF LOCAL FIELDS ... with
cofibrations and weak equivalences of C
b
(A). The inclusion E→C
b
(E)ofE as
the subcategory of complexes concentrated in degree zero, is an exact functor.
The assumptions ofthe fibration Theorem ... suggestions on improving the exposition.
1. Topological Hochschild homology and localization
1.1. This section contains the construction of TR
n
(A|K; p). The main
result is the localization sequence of...
... conductor
is
E^
and that
the
charges
on the
other conductors
are
zero.
The distribution
of
electri
fication when the
second
conductor
is
charged
and
the
rest
uncharged
satisfies
the
conditions
that
the
conductors
are
equipotential
surfaces,
that
the
charge
on ... said
to
be
electrified
by
induction;
the electrification
on the
metal
is said
to
be induced
by
the
electrification
on
the
stick
of
sealing-wax.
The
electrification
on the
part
of
the
metal
nearest
the
wax
is
of the
kind
opposite
to ... the
sum
of
the
charges
corresponding
to
the
two
solutions,
i.e.
that
the
charge
on
the
first conductor
is
E
l}
that
on
the
second
conductor
E
2 ,
and
that
on
each
of the
other
conductors
zero.
In other
words,
the
new
distribution
will be...
... removes
obstruction to the circulation as effectually as cutting the string relieves the congestion ofthe finger. When the
circulation is perfectly natural through these parts, then the congestion and ... in
the care and education of their young. As we know, it is only by the production of new individuals that the
continuance ofthe race is assured.
=Problems of Reproduction.= The problems of ... are the
strongest of nerve tonics, building up, strengthening, and giving tone to the whole nervous system; while other
ingredients have the remarkable property of relieving congestion of all the...
... to
hypothetical ones, only the valid conditional clause is relevant to the identification
of the criminal norm, and therefore the structure ofthe criminal norm contains only
valid conditional clauses.
A ... liberal concept of law, or the liberal
legal concept.
26
According to this concept, two principal social powers confront
each other in the cont ext of criminal law. The first is the power ofthe sovereign ... required components ofthe criminal norm are present, the
criminal sanction may be imposed onthe offender.
2.1.2 Criminal Sanction
The result of a valid conditional clause is a criminal sanction, which...
... the
path
of
each
vortex
will
be
bent
towards
the
direction of
motion of
the
other
when
its
radius is
increased and
away
from the
direction
of
motion
of
the
other when its radius
is
diminished,
while if the
32
ON
THE MOTION
OF
VORTEX
RINGS.
This
formula ... less
than
the
velocity
of
the other resolved
along
its
direction
of
motion,
the
direction of
motion
will
be
bent
from
the
direction of
the other
when
its
radius
is
increased
and
vice versa. The
rules ... the
vortices
and
equal
and
opposite
impulses
to
the
other
;
here
3
and
3'
are the
momenta
of
the
vortices.
We then
go
on to
investigate
the other
effects of
the
collision.
We find
that
the collision
changes
the
shapes
of
the
vortices
as
well
as
their...
... in the body part, especially in the news plentiful of content
and the content expresses the reaction to the news. Like the headline, it
attracts the reader’s attentions to the main content of ... And the structure is one ofthe features ofthe news story’s
paragraph.
According to Do Huu Chau [2]: “Structure is an art ofthe performance
on content factors ofthe writers. Structurally, the ... face-to-face interaction. The situation, therefore, must
be interfered from the text. Naturally, readers only pay attention to the
contents or news ofthe news story, they do not care how the story are...