... computer-generated
images, the principle remains the same. Simply put, the closer
the subsequent images are to each other in their position on
the screen, the slower the action; the greater the distance
between the ... drawings – will determine the speed of your
animation. Remember, the greater the distance between the drawings, the quicker the action; the closer together
they are, the slower the timing will be.
K51666-Ch01.qxd ... example, the
height ofthe bounce remains the
same throughout the descent of
the stairs. This is because the
potential stored energy within the
ball remains the same after each
bounce on the steps,...
... on its
bow? The leverage lies in going to the stern and pushing the tail end of
the tanker to the right, in order to turn the front to the left. This, of
course, is the job ofthe rudder. But ...
fraction the size ofthe rudder. Its function is to make it easier to turn
the rudder, which, then, makes it easier to turn the ship. The larger
the ship, the more important is the trim tab ... from the system that offset the
benefits ofthe intervention. We all know what it feels like to be facing
compensating feedback the harder you push, the harder the system
pushes back; the more...
... If the axiom of choice is, on the other hand, a mere matter of
opinion or of arbitrary decision, then the Platonic world of absolute
mathematical forms contains neither the axiom of choice nor ... contain assertions ofthe form ‘such-and-such follows
from the axiom of choice’ or the axiom of choice is a theorem according
to the rules of such-and-such mathematical system’).
The mathematical assertions ... unambiguous
validity today, just as they did in the time of Pythagoras. What about the
geometrical theorems that the Pythagoreans had obtained using their
procedures of mathematical proof? They too have a clear...
... excerpts oflaws or scribal exercises on particular sub-
jects. But since there is no evidence for such texts—certainly there is none for
the transmission ofthe whole oftheLawsof Hammurabi in these ... For example, the Covenant Code, theLaws
of Hammurabi, theLawsof Eshnunna, and the Roman Twelve Tables all have
burglary laws that speak of killing a burglar (see chapter 9). These cannot ... experience, and
then became quite independently the source ofthe goring-ox lawsofthe
Book of Exodus.
75
He left the exact source undefined: the biblical rules derive their inspiration
from these earlier...
... large k the map G : W
0
→ E
∗
is
¯
L-condensing with respect
to γ
k
.
The definition of the
¯
L-condensing map is given in [3].
The proof of theorem repeats the proof of Theorem 2.2 in [21] on the ... on the space of functions on Ω
t
.Fromthe
density ofthe set of smooth functions in the spaces mentioned below and the proof of
Lemma 5.1 the next lemma follows.
244 On weak solutions ofthe ... and γ
n
is the operator of taking ofthe normal
component of a trace on the boundary of a function defined on Ω
0
.Theoperatorγ
n
220 On weak solutions ofthe equations of motion
Proof. Integration...
... associated to themotion vector
is the one located at the smallest distance ofthe extremity of
the vector (according to the L
2
distance). In the example of
Figure 3, the reference point of
d
f
is ... results with
α = 60. As expected, the strength α allows the manipulation
of the degree of video degradation: the higher the value of α,
the higher the degree of video degradation.
We have also ... increase the invisibility ofthe inserted mark, re-
searchers often use a psychovisual mask. Effectively, regard-
ing the properties ofthe human visual system (HVS) in-
crease the energy ofthe watermark...
... in the essential lawsof human language. Wherefore the laws
ofthe symbols of Logic are deducible from a consideration ofthe operations of
the mind in reasoning.
12. The remainder of this chapter ... acts ofthe faculty of Conception, the one of which furnishes the
subject upon which the other is supp osed to operate, is a general condition of
the exercise of that faculty. It is a law ofthe ... with the general algebra of quantity. An important part of the
Chapter IV
OF THE DIVISION OF PROPOSITIONS INTO THE
TWO CLASSES OF “PRIMARY” AND
“SECONDARY;” OFTHE CHARACTERISTIC
PROPERTIES OF...
... a motionofthe source
of light towards the observer. The first postulate of relativity adds
the idea that a motionofthe source of light towards the observer is
identical with a motionofthe ... 21
The Second Postulate ofthe Einstein Theory of Relativity. . 22
Suggested Alternative to the Postulate ofthe Independence
of the Velocity of Light and the Velocity ofthe Source. 24
iv
Chapter ... theories of
light and in favor ofthe principle which has led to the second postu-
late ofthe Einstein theory. One ofthe consequences ofthe Einstein
theory, however, has been the deduction of an...
... studied.
The main results of this paper are Theorems 3.1, 3.3. Theorem 3.1 establishes
the strong law of large numbers for arbitrary blockwise martingale differences.
In Theorem 3.3, we set up the ... E|X
1
| < ∞,then
lim
n→∞
1
n
n
i=1
X
i
=0 a.s.
Acknowledgments. The authors are grateful to the referee for his careful reading of
the manuscript and his valuable comments. The authors also ... (2005) 55–62
OntheLawsofLargeNumbersforBlockwise
Martingale Differences
and Blockwise Adapted Sequences
Le Van Thanh and Nguyen Van Quang
Department of Mathematics, University of Vinh, Vinh, Nghe...
... single-centre data
[52-56]. Inherent within this type of evidence is the lack of
rigour and generalisability. Furthermore, the magnitude of the
effect ofthe MET may be influenced by institution-specific
administrative ... the bedside ofthe critically ill wherever
they are. In the words ofthe slogan ofthe American Society
of Critical Care Medicine, we need to deliver the ‘right care,
right now’. Hospital wards ... component of
the syndrome. The arrival ofthe MET brings a critical care
environment to the bedside. In a sense, when an MET syn-
drome develops, it could be argued that both the hospital and
the patient...