... structures ofthe molecules. These structures are
therefore not of immediate concern in the kinetic theoryof gases; they
determine the exterior fields of force, which form the outworks ofthe
molecule, ...
quantum theoryof collisions (so far as it affects thetheory of
the
transport
phenomena in gases), and on thetheoryof conduction and diffusion in
ionized gases, in the presence of electric ... extent from these usual or normal conditions.
These results of statistical mechanics, and others of
a
like kind, illustrate
the use made of probability in the kinetic theoryof gases. The results...
... 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 loop of ... assume their false vacuum values (n and 1 respectively) on the axis
of symmetry, and fall off exponentially with the cylindrical radius ρ. The centre
of the string is, therefore, the set of points ... detail).
However, in the case of an infinite string in the shape of an oscillating helix,
the effect ofthe corrections is to increase the curvature at some points on the world
sheet and reduce it at others....
... cost ofthe employment in question
[1]
. The
excess ofthe value ofthe resulting output over the sum of its factor cost and its user cost
is the profit or, as we shall call it, the income ofthe ... AND THE MULTIPLIER
Book IV: The Inducement to Invest
11.
THE MARGINAL EFFICIENCY OF CAPITAL
12.
THE STATE OF LONG-TERM EXPECTATION
13.
THE GENERAL THEORYOFTHE RATE OF INTEREST
14.
THE ... MONEY-WAGES
o
PROFESSOR PIGOU'S &apos ;THEORY OF UNEMPLOYMENT'
20. THE EMPLOYMENT FUNCTION
21.
THE THEORYOF PRICES
Short Notes Suggested by the General Theory
22.
NOTES ON THE TRADE...
... is the cornerstone of
the RNA World. Nevertheless, there is a lot going for the RNA World
(Bernhardt summarizes much ofthe evidence, and I add more below)
whereas the other hypothes es on the ... existed
already at the late stages ofthe hypothetical RNA World [92].
All this discussion is not pointless play with hypotheses. Realization of the
unique status ofthe RNA World among the origin of life ... Because ofthe ability of these naturally occurring
RNA riboswitches to bind protein enzyme cofactors, and
because many of these cofactors possess non-functional
fragments of RNA – one ofthe earliest...
... represented by
a
set of states
of
the automaton
A
recognizing
L.
The
cardinal ofthe set of subsets (of the set of states) is
2ca'd(d(L)).
This number
0
Theorem
4
Let
L
be ... places
of
their recog-
nizing
nets.
1
Preliminaries
As well-known, the Petri net is
a
mathematical model of parallel and dis-
tributed computing systems. In the last years, thetheoryof ...
[2-31).
As
we shall
see in the sequel, in thetheoryof growth function, only the
state
growth
speed ofthe system matters, no attention is paid to the states themselves.
This implies that...
... familiarity with the elementary topology of topological groups
and ofthe real and complex number fields.
Most ofthe material of these notes is to be found in the notes of
Artin and the books of Artin, ... fields. These lec-
tures were preceded by an elementary course on group theory, vector
spaces and ideal theoryof rings—especially of Noetherian rings. A
knowledge of these is presupposed in these ... 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. This...
... part by The American Institute of Mathematics.
ON THE K -THEORY OF LOCAL FIELDS 33
where M
gp
is the group completion (or Grothendieck group) of M and
denotes the submodule generated by the indicated ... −→ · · · ,
two out of three ofthe vertical maps are isomorphisms. Hence, so are the
remaining vertical maps. To prove the claim, we consider the diagram of
ON THE K -THEORY OF LOCAL FIELDS 45
0 ... MADSEN
Proof. If a ∈ A ∩ K
×
then av
K
(a) ∈
K
, and hence, the composition of
the two maps in the statement is zero. Only the exactness in the middle needs
proof. Let ad log b be an element of ω
1
(A,M)
and...
... conviction of illegal suppliers obviously
depend on the extent ofthe difference between the social and private value of consumption of illegal
goods, but they also depend crucially on theelasticityof ... revenue.
The left hand side of eq. (12a) is the marginal cost of enforcement, including
the effects on output and the odds ratio. The right hand side is the marginal
benefit ofthe reduction ... increases since the drop in the scale
of production can more than offset the increased cost per unit.
So theelasticityof demand is key on both the cost and benefit sides of
enforcement....
... desired. The ratio ofthe actual
rate of transmission to the capacity C may be called the efficiency ofthe coding system. This is of course
equal to the ratio ofthe actual entropy ofthe channel ... .
Theorem 16:
If the signal and noise are independentand the received signal is the sum ofthe transmitted
signal and the noise then the rate of transmission is
R H y H n
i.e., the entropy ofthe ... channel, and the savings possible due to the statistical structure ofthe original message and due to the
nature ofthe final destination ofthe information.
The fundamental problem of communication...
... manifested by these superconducting
oxides have become one ofthe most exciting and challenging topics in the field
of the electron theoryof metals.
Originally, the electron theoryof metals was ... accom-
plishments in the electron theoryof metals since the advent ofthe Sommerfeld
free-electron theory. Naturally, the higher the superconducting transition tem-
perature, the more likely are possible ... T
c
. Thetheoryof super-
conductivity was established in 1957 by Bardeen, Cooper and Schrieffer [25].
The so called BCS theory has been recognized as one ofthe greatest accom-
plishments in the...