george g szpiro - kepler''s conjecture

... Varro gave a very plausible explanation: he thought that beehives were hexagonal in order to accommodate the bee’s six legs. First, in the construct-your-own-hexagon project, neighboring bees ... three geometric forms could be compared in a fair manner. After all, a large triangle has a bigger surface than a small hexagon. What he probably meant was that when comparing squares, trian- gles,...

Ngày tải lên: 05/06/2014, 11:25

... astonishing. Imagine your law- yer telling you that he is no good at spelling, your dentist proudly proclaiming that she speaks no foreign language, and your financial advisor admitting with glee ... to the cup, a bagel, or a pretzel. Poincaré sought to investigate such issues not by geo- metric means but through algebra, thus becoming the origi- nator of “algebraic topology.” In 1904 he ......

Ngày tải lên: 05/06/2014, 11:25

... the World George G. Szpiro John Wiley & Sons, Inc. First, in the construct-your-own-hexagon project, neighboring bees can share the work by building common walls, one of them working on either side. ... three geometric forms could be compared in a fair manner. After all, a large triangle has a bigger surface than a small hexagon. What he probably meant was that when comparing squares...

Ngày tải lên: 05/06/2014, 11:26

... minh hoạ (SGK) III.Các hoạt động dạy-học GV HS 1-Kiểm tra bài cũ : -G i HS lên bảng trả lời các câu hỏi nội dung bài trước . -Nhận xét, ghi điểm 2 -Bài mới. -Giới thiệu bài -Ghi bảng a. HĐ1. ... học. Thông tin và các hình trang 2 8-2 9 SGK. III. Các hoạt động dạy và học. GV HS 1-Kiểm tra: -Nêu nguyên nhân g y ra bệnh sốt rét. -Nêu cách phòng tránh bệnh sốt rét. -Nhận xét, ghi điểm. 2-...

Ngày tải lên: 27/09/2013, 01:10

... (H r G r−1  K) 0 alg be the largest k-submodule of (H r G r−1  K) 0 whose image in H r−1 Gr r−2 W K 1 is contained in (H r−1 Gr r−2 W K 1 ) alg .Wedefine similarly (H r G r−1  K  ) alg ⊂ H r G r−1  K  , ... decreasing filtration G on C(W r−2 K ´et n → W r−2 K ´et ) by G 0 = C(W r−2 K ´et n → W r−2 K ´et ) ,G 1 = K ´et (r, n), G 2 = C(0 → W r−1 K ´et ) ,G 3 =0. Then Gr 0 G...

Ngày tải lên: 14/02/2014, 17:20

... [12] has proved Serre’s conjecture when F = F 7 , again subject *Partially supported by NSA Young Investigator Grant MDA90 5-0 2-1 -0 097 and NSF Grant DMS-0401616. SERRE’S CONJECTURE OVER F 9 1139 1 ... all Galois-conjugate over K  , and that for each i the image of the representation Gal( ¯ Q/F i ) → Aut O (A i [ √ 5]) surjects onto the determinant-1 subgroup, where F i ⊃ F is the...

Ngày tải lên: 16/02/2014, 05:20

... noise. Grounded shield conductors protect the phase conductors from lightning. High-Voltage DC Lines High-voltage DC lines are used to transmit large amounts of energy over long distances or through waterways. ... framework for decision-making FIGURE 4.16 Example of loading agenda. © 2001 CRC Press LLC Karady, George G. “Transmission System” The Electric Power Engineering Handbook Ed. L.L...

Ngày tải lên: 05/03/2014, 16:20

... nothing but the classical result of Gidas-Ni-Nirenberg. Indeed, the mono- tonicity in R may be shown as follows. Suppose that for some R 2 >R 1 >R 0 , 328 NASSIF GHOUSSOUB AND CHANGFENG GUI there ... c 2 > 0. This can be proved by calculating directly Annals of Mathematics On De Giorgi’s conjecture in dimensions 4 and 5 By Nassif Ghoussoub and Changfeng Gui* ON DE G...

Ngày tải lên: 05/03/2014, 23:20

... composition T 1 g // T 2 f a // P (Z).(2.1) If g is an identity, then g ∗ S = S and g ∗ f = f;ifg is a composition, g = g 2 g 1 , then g ∗ S = g 1 ∗ g 2 ∗ S and g ∗ f = g 1 ∗ g 2 ∗ f. Thus, with ... long exact sequence of homotopy groups associated with diagram (3.3) and a Leray-Serre spectral sequence of homology groups. Suppose that a topological group G acts on...

Ngày tải lên: 06/03/2014, 08:21

... LITTLEWOOD’S CONJECTURE 529 write, for a given matrix g ∈ G, g =   a 1 g 12 g 1∗ g 21 a 2 g 2∗ g ∗1 g ∗2 a ∗   ,(4.1) with the understanding that a 1 ,a 2 ,g 12 ,g 21 ∈ R, g 1∗ , g 2∗ (resp. g ∗1 , g ∗2 ) ... still close together for τ ∈ [0,T]. In fact, g = α −τt   a 1 g 12 g 1∗ g 21 a 2 g 2∗ g ∗1 g ∗2 a ∗   α τt =   a 1 e −2τ g 12 e −τ...

Ngày tải lên: 15/03/2014, 09:20