kepler''s conjecture
george g. szpiro - kepler's conjecture
... when using the square packing. Something similar is also
true in three dimensions, and Kepler’s conjecture, the subject matter of this
book, refers to space that has no borders, that is, that ... he described a method of packing balls as tightly as possible. This
marks the birth of Kepler’s Conjecture. We will have more to say about
snowflakes and their relationship to the packing of cannon...
kepler's conjecture
... one-dimensional
sphere of radius R. It may seem surprising at first that a straight line can be
2 KEPLER’S CONJECTURE
a sphere, since we usually think of spheres as round objects.
1
But that should
not bother ... when using the square packing. Something similar is also
true in three dimensions, and Kepler’s conjecture, the subject matter of this
book, refers to space that has no borders, t...
Tài liệu Đề tài " Deligne’s conjecture on 1-motives " ppt
... Zariski
topology.)
Annals of Mathematics
Deligne’s conjecture on
1-motives
By L. Barbieri-Viale, A. Rosenschon, and M. Saito
DELIGNE’S CONJECTURE ON 1-MOTIVES 611
Let W be the convolution ... of Mathematics, 158 (2003), 593–633
Deligne’s conjecture on 1-motives
By L. Barbieri-Viale, A. Rosenschon, and M. Saito
Abstract
We reformulate a conjecture of Deligne on 1-motive...
Tài liệu Đề tài " Serre’s conjecture over F9 " doc
... (L
v
1
, ,L
w
1
, ,L
u
1
, ).
Annals of Mathematics
Serre’s conjecture over
F9
By Jordan S. Ellenberg
SERRE’S CONJECTURE OVER
F
9
1129
The intersection L ∩S
¯ρ
is a zero-dimensional ... reduction at 3 and 5 are modular.
Introduction
In 1986, J-P. Serre proposed the following conjecture [16]:
Conjecture. Let F be a finite field of characteristic p, and
¯ρ : Gal(
¯
Q/Q) → G...
Đề tài " On De Giorgi’s conjecture in dimensions 4 and 5 " pdf
... directly
Annals of Mathematics
On De Giorgi’s
conjecture in dimensions
4 and 5
By Nassif Ghoussoub and Changfeng Gui*
ON DE GIORGI’S CONJECTURE 331
e
1
R
≤ E
R
g(x
n
)
=2
R
0
ω
n−1
(R
2
− ... solutions of semilinear elliptic equations in R
N
and related
conjectures, Ricerche Math. 48 (1999), 129–154.
[15]
N. Ghoussoub and C. Gui,Onaconjecture of De Giorgi and some re...
Đề tài " The stable moduli space of Riemann surfaces: Mumford’s conjecture " ppt
... Mathematics
The stable moduli space
of Riemann
surfaces: Mumford’s
conjecture
By Ib Madsen and Michael Weiss*
MUMFORD’S CONJECTURE
861
The stabilizer O(i, d +1− i)ofq
i
for the (transitive) ... (2007), 843–941
The stable moduli space of Riemann
surfaces: Mumford’s conjecture
By Ib Madsen and Michael Weiss*
Abstract
D. Mumford conjectured in [33] that the rational cohomology...
Đề tài "Invariant measures and the set of exceptions to Littlewood’s conjecture " doc
...
the set of exceptions to
Littlewood’s conjecture
By Manfred Einsiedler, Anatole Katok, and Elon
Lindenstrauss*
THE SET OF EXCEPTIONS TO LITTLEWOOD’S CONJECTURE
531
Let K ⊂ D
δ
be compact. ... Margulis
[23] of the long-standing Oppenheim Conjecture through the study of the ac-
tion of a certain subgroup H on the space of unimodular lattices in three space.
This conjecture, pose...
Đề tài " A proof of Kirillov’s conjecture " potx
... our result.
Annals of Mathematics
A proof of Kirillov’s
conjecture
By Ehud Moshe Baruch*
APROOF OF KIRILLOV’S CONJECTURE 225
The proof of Lemma 5.2 is an easy consequence of the ... P
remains irreducible. Kirillov [Kir] conjectured that this should be true for all
irreducible unitary representations π of GL
n
(K), where K is R or C:
Conjecture 1.1. If π is an irreducible...
Đề tài "Iwasawa’s Main Conjecture for elliptic curves over anticyclotomic Zp-extensions" pot
... of Mathematics
Iwasawa’s Main Conjecture
for elliptic curves over
anticyclotomic Zp-extensions
By M. Bertolini and H. Darmon
IWASAWA’S MAIN CONJECTURE FOR ELLIPTIC CURVES
19
Lemma ... (applied now
in the reverse direction) produces the desired φ ∈ S
2
(H/Γ
0
(N)).
The Shimura-Taniyama conjecture. Let E be an elliptic curve as in the
introduction. For each prime which...
Đề tài " A proof of the Kepler conjecture " pdf
... 1.20. Assume Claims 1.11–1.16. Then the Kepler conjecture
(Theorem 1.1) holds.
Proof. As pointed out in Remark 1.4, the precise meaning of the Kepler
conjecture is for every saturated packing Λ, ... in Frame (b).
Annals of Mathematics
A proof of the
Kepler conjecture
By Thomas C. Hales
A PROOF OF THE KEPLER CONJECTURE
1083
Proof. Let the diagonal edge be {v
0
,v
0
}...
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