Sebanyak 5927 Textbook ditemukan

Organization and Operation of the Small Business Administration (1970), Hearings Before the ... , 91-2, H. Res. 66 ... , July 20, 21, and 22, 1970

... M. & E. and building 25,000.00 New M. & E. contingencies 40,000.00 Total 215,000.00 Approved Mar. 28 , 1968 SECOND LOAN : LD - 704,061 - VA- $ 10,000 Disbursed April 25 , 1968 SBA LDC share . $ 10,000.00 1 , 220. 84 New M. & E. and ...

Hearings, Reports and Prints of the House Select Committee on Small Business

... M. & E. and building 25,000.00 New M. & E. contingencies 40,000.00 215,000.00 Total SECOND LOAN : LD - 704,061 - VA- $ 10,000 Approved Mar. 28 , 1968 Disbursed April 25 , 1968 SBA share LDC share_ $ 10,000.00 1 , 220. 84 New M. & E ...

Hearings Before and Special Reports Made by Committee on Armed Services of the House of Representatives on Subjects Affecting the Naval and Military Establishments

... M - 114 armored com- mand and reconnaissance vehicle which presently mounts a 50 - caliber machinegun . The required ... new diesel engines and 105 - millimeter guns , and procure a number of new M - 60's equipped with the ...

Supplement to Cumulative Index to Publications of the Committee on Un-American Activities, 1955 Through 1968

(84th Through 90th Congresses)

... m 433-439 , 1406 , 1411- 1413 ; me 23 . New Jersey , Essex County Council Sixty - seventh National Convention , York g 1143 , 1144 August 1966 , New m 435 , 436 ; mc 23 , 24 Sixty - eighth National Convention . Veterans of the Abraham ...

Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure. In contrast to the many results known for these equations on the real line, with decaying Cauchy data, one cannot make use of dispersive properties of the linear flow. Instead, a normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the solution. Since the water waves equations form a quasi-linear system, the usual normal forms approaches would face the well-known problem of losses of derivatives in the unbounded transformations. To overcome this, after a paralinearization of the capillary-gravity water waves equations, we perform several paradifferential reductions to obtain a diagonal system with constant coefficient symbols, up to smoothing remainders. Then we start with a normal form procedure where the small divisors are compensated by the previous paradifferential regularization. The reversible structure of the water waves equations, and the fact that we seek solutions even in space, guarantees a key cancellation which prevents the growth of the Sobolev norms of the solutions.

... M in ΣΜ k , 0,1 [ r , N , aut ] . We substitute this expression inside the right hand side of the second equation ... new M in ΣΜκ , 0,0 [ r , N , aut ] and M ' , M " in ΣΜ κ , 0,1 [ r , N , aut ] with M ' ( resp . M " ) linear ...