... the councils ofthe National Academy of
Sciences, the National Academy of Engineering, and the Institute of Medicine. The members of the
committee responsible for the report were chosen for their ... secure the
services of eminent members of appropriate professions in the examination of policy matters
pertaining to the health ofthe public. The Institute acts under the responsibility given to the ... VERVIEW
9
Strategic Principle 5. The Secretary of Energy and the Director ofthe Na-
tional Science Foundation, working with the White House Office of Science
and Technology Policy and the Office of Management...
... independent U.S. space service.
The very creation oftheSpace Commission in the first place was an
implied criticism ofthe Air Force’s recent handling ofthe nation’s
military space effort, since ... become accepted as the nation’s military space custodian—
often in the face of intense resistance both from the other services
and from the civilian leadership. It then explores the differences ... now facing the Air Force and the
nation. The study begins by reviewing the highlights ofthe Air
Force’s effort since the end of World War II to become accepted as
the nation’s military space custodian....
... geometric terms, in sharp contrast to Plato’s space. ” It is rather more
like a set theoretic description: the place ofthe boat is the river; the place ofthe river is between
the banks; the ... Aesthetic ofSpace
must be maintained is not a law of mathematics but rather a requirement ofthe aim of physics
itself. The role of mathematics in physics is descriptive. The doctrine of mathematics ... (31b-32a)].
In view of Plato’s division ofthe nature of being into the “world of truth” and the “world of
opinion,” it is possible to regard Platonic space as the bond or union of these two “natures.”...
... support for its space ambitions. By di-
rection ofthe Office ofthe Secretary of Defense, the use ofthe term
“astronautics” by the Air Force was formally proscribed and the new
Air Staff office was ... step ofthe way, often in the
face of heavy resistance from the other services and the civilian lead-
ership, to earn its now dominant role in the U.S. military space pro-
gram. The history of ... notion of what needs to be done before pro-
Air and Space Versus “Aerospace” 39
For those on the other side ofthe debate, the term “aerospace” was
considered a guaranteed recipe for space not...
... radiation they emit in the last stages of their formation.
• The use of gravitational waves to probe the universe of complex astro-
nomical phenomena by the decoding ofthe details ofthe gravitational ... ofthe foundations of general relativity. It is one ofthe most
accurately tested predictions in all of physics. The equality of accelerations of
different bodies in the curved spacetime ofthe ... tests of strong-field theo-
ries ofthe production of these waves, detailed confirmations ofthe predicted
properties of black holes in general relativity, and observational tests of the
theory of...
... at the wide pointed doors, depositing them in the midst of the
crowd. The jagged lightning flash was there over the doors ofthe build-
ing, and the words:
here, by grace ofthe Lhari, is the ... passengers, then veering away. The gap in
the starship's side was closing, and still Bart had not seen the tall, slim,
flame-haired figure of his father. The port on the other side ofthe ship,
he ... his
eyes from the fascinating spectacle, and followed Tommy, stepping onto
one ofthe sidewalks. It bore them down a long, sloping ramp toward the
floor ofthe spaceport, then sped toward the glass...
... L
k
(IC
•
L
0
)=L
k
(IC
•
L
1
) for all k by the uniqueness statement of Theo-
rem 5.1.
THE L-CLASS OF NON-WITT SPACES
765
6. An example
We illustrate the general result with the special situation ofthe reductive
Borel-Serre ... L-classes of self-dual sheaves from [CS91] and state and prove the
main theorem of this paper on the L-class of non-Witt spaces (Theorem 5.2).
We conclude with an illustration of our results for the ... type
invariants on non-Witt spaces. The objects of this category should satisfy two
properties: On the one hand, they should be self-dual, on the other hand,
they should be as close to the middle perversity...
... stripped of their electrons and the nuclei squeezed together,
weighing in the neighborhood of a couple of tons per square inch. That
could account for the beginning, but once the thing got started, the
wrecked ... that was the first time they had touched since they had left the
asteroid. Then they rested for a few moments and drank some of the
achingly cold water from the tank and got up and went to the viewport.
They ... miniature.
"Spaceships," Diane said. "Spaceships, Ralph. Hundreds of them."
They gleamed like silver motes in the sun or were black as the space
around them. They tumbled slowly, in incredible...
... right off the map -
to somewhere else! First there is the new thin coldness ofthe air,
the blazing corona and dullness ofthe sun, the visibility of the
stars in high daylight. Then comes the ... through space with the ship into the dead-area."
The score of members ofthe crew, bronzed space- sailors out of every
port in the solar system, had listened mutely. Now, one of them, a tall
tube-man, ... SF
story ofthe year (this was the first SF prize awarded by the votes of fans,
a precursor ofthe later Hugo Awards). In the later 1930s, in response to
the economic strictures ofthe Great...
... laboratory space, and offices for the observatory staff. One of the
4-kilometer arms disappears out ofthe right-hand side ofthe photo. The other is seen
stretching to the upper left. At the 2-kilometer ... radiation they emit in the last stages of their formation.
• The use of gravitational waves to probe the universe of complex astro-
nomical phenomena by the decoding ofthe details ofthe gravitational ... some ofthe important
achievements ofthe past decade illustrates this point:
• The confirmation ofthe existence of gravitational waves by the observed
shortening ofthe orbital period of a...
... than,
the proof of Theorem 7. First we recall the definition of certain canonical trees
T
α
of order α for α<ω
1
(see e.g. [JO]). These form the frames upon which
we will hang our bases. The ... for all |F |≤2
n
and all choices of sign. Furthermore
THE ISOMORPHISM CLASS OF A BANACH SPACE
427
exists. The sequence (˜x
i
) is then a basis for the completion of (span (˜x
i
),
·) and (˜x
i
) ... Then
c
0
embeds into X.
We postpone the proof to complete first the
Proof of Theorem 1. Assume that X is infinite dimensional and every
isomorph of X is K-elastic. Then by Theorem 7, c
0
embeds into X....
... opposite to the sense ofthe arc from
S
to
S'
.
The nine-point circle
The Euler’s theorem states that the midpoints ofthe sides of any triangle, the feet
of the altitudes and the ... triangles. Then the modulus of
u
+
v
is equal to the double ofthe cosine ofthe
half of this angle:
Fi
g
ure 6.4
TREATISE OF PLANE GEOMETRY THROUGH GEOMETRICALGEBRA 7
The permutative ... supplementary of
α
,
β
,
γ
,
ω
. Therefore the sum ofthe angles of a polygon is:
()()() () ()
π2π2ππ πππ −=−=−++−+−+− nn
ωγβα
n
being the number of sides ofthe polygon. The deduction for the...