... s) (α 1) p p 1 Lp − p 1 (t−s) e p 1 p ds ∞ ≤ C||k||Lp (R+ ) s (α 1) p p 1 e Lp − p 1 s p 1 p ds p 1 = C||k||Lp (R+ ) Lp = o (1) as L → ∞, αp 1 p Γ αp − p 1 p 1 p thanks to the H¨ older inequality ... t 1 ≤C t t 1 γ t (t − s)α 1 m(s)ds t 1 Then using the H¨ older inequality again, we get γ t I3 (t) ≤ C t t 1 γ t ||m||Lp (R+ ) (t − s) (α 1) p p 1 p 1 p ds t 1 γ p 1 αp − t =C ||m||Lp (R+ ) t 1 ... changed from line to line Using the H¨older inequality, one has p 1 p t I1 (t) ≤ C||m||Lp (R+ ) p − p 1 (t − s) = C||m||Lp (R+ ) (p − 1) p 1 p p 1 − p 1 p t− p Thus tγ I1 (t) ≤ Ctγ− p = O (1) as t...
... it 16 Wireless Local Area Networks (continued) 17 Wireless Local Area Networks (continued) • Institute of Electrical and Electronic Engineers (IEEE) standards – 802 .11 a, 802 .11 b, and 802 .11 g 18 ... station to another • Transmission time is approximately 250 milliseconds 10 Satellite Networks (continued) 11 Satellite Networks (continued) 12 Cellular Networks • Modern cellular telephone network ... Networks (ISDN) – Transmit at 256 Kbps over regular phone lines • T1 lines – Transmit at 1. 544 Mbps • Cable modems and digital subscriber lines (DSL) – Generally only available in residential areas...
... hda1 Boot Primary Linux ext3 [/] 8000. 01 hda2 Primary Linux swap / Solaris 10 00.20 hda3 Primary Linux 310 07.57 Here I have a 7Gb root partition which contains my Debian GNU/Linux installation ... LVM2: Sat Jun 10 12 :35:57 2006 contents = "Text Format Volume Group" version = description = "Created *before* executing 'lvcreate -n test size 1g skxvg'" creation_host = "lappy" # Linux lappy ... with the name 'test': root@lappy:~# lvcreate -n test size 1g skx-vol Logical volume "test" created This command creates a volume of size 1Gb with the name test hosted on the LVM volume group skx-vol...
... Repression in Gay Fiction 11 3 vi 83 Contents Chapter National Identity 11 8 Reinventing Englishness 11 9 The Colonial Legacy 12 4 The Troubles 13 1 Irishness Extended 14 1 Welsh Resistance 14 4 The ‘Possible ... Victor Michael Head 26 .10 . 31 18 .4. 01 Contents Acknowledgements Introduction page viii Chapter The State and the Novel 13 The Post-War Wilderness 14 The Testing of Liberal Humanism 19 The Sixties and ... Isles? 15 4 Chapter Multicultural Personae 14 7 15 6 Jewish-British Writing 15 8 The Empire Within 16 1 ‘Windrush’ and After: Dislocation Confronted The Quest for a Settlement 17 0 Ethnic Identity and Literary...
... Freight 1, 776 1, 155 610 11 894 GROSS PROFIT S STS & EXPENSE OPERATING CO Fixed Insurance Rent Salaries Utilities 544 26 10 0 310 42 Variable Advertising Dues Telephone Office Supplies 24 24 14 350 ... abilities Total Current Li ilities – Note Long-Term Liab uity Stockholders’ Eq S AND EQUITY TAL LIABILITIE TO THE IFA EDUCATIONAL FOUNDATION $6,500 1, 200 1, 800 $9,500 $12 ,500 $20,600 $33 ,10 0 ... 200 $19 ,10 0 sets Total Current As Fixed Assets Machinery r Computer/Printe Furniture ts Total Fixed Asse 8,500 1, 000 4,500 $14 ,000 $33 ,10 0 Total Assets D EQUITY LIABILITIES AN s Current Liabilitie...
... mechanics Fig 1.1 Restored arch of Roman aquedud in Compania Plain, Italy materials posed the most important problems In this sense, it is believed that hydraulics was born in the utilisation of ... conduit had to be designed and its Fig 1. 2 Relief of ancient Egyptian ship The beginning of fluid mechanics Fig 1. 3 Ancient Greek ship depicted on old vase inclination or supply pressure had to be ... region Leonardo was the first to find the least resistive ‘streamline’ shape 4 History of fluid mechanics Leonardo da Vinci (14 52 -15 19 ) An all-round genius born in Italy His unceasing zeal for...
... (3 .14 ) From eqs (3 .12 )-(3 .14 ) (3 .15 ) From eqn (3 .15 ) (3 .16 ) In aeronautics, it has been agreed to make the combined values of po = 10 1.325 kPa, T, = 288 .15 K and po = 1. 225 kg/m3 the standard atmos- ... (3 .12 ): (3 .13 ) When the absolute temperatures at sea level and at the point of height z are T, and T respectively, the following equation is obtained from eqn (2 .14 ): (3 .14 ) From eqs (3 .12 )-(3 .14 ) ... (3.6), (3 .10 ) Integrating this equation from z = (sea level), (3 .1 1) The relation between the height and the atmospheric pressure develops into the following equation by eqn (3 .1 1): (3 .12 ) Also,...
... cylinder, absolute streamlines are observed (Fig 4.2(b)) In addition, the lines which show streams include the streak line and the path line By the streak line is meant the line formed by a series ... Experimental Physik, IV, Teil, Akademische Verlagsgesellschaft (19 32), 12 7 Rotation and spinning of a liquid 47 Osborne Reynolds (18 42 -19 12) Mathematician and physicist of Manchester, England His ... Relative streamlines and absolute streamlines the x and y directions as u and v respectively, the following equation of the streamline is obtained: dx/u = dy/v (4 .1) Whenever streamlines around...
... vertically in the solid wall face parallel to the flow As Bernoulli's theorem applies to a flow line, it is also applicable to the flow in a pipe line as shown in Fig 5.6 Assume the pipe line is horizontal, ... = 0 .12 m3/s, obtain Q,, and F Qz Fig 5.30 10 As shown in Fig 5. 31, if water flows out of the tank of head 50cm through the throttle, obtain the pressure at the throat Problems 81 Fig 5. 31 11 Figure ... that the pipe line is horizontal, z1 = 22 v2 - v: - - PI - P2 - 29 P9 From the continuity equation, 01 = V2A2IAl Conservation of energy 63 Giovanni Battista Venturi (17 46 -18 22) Italian physicist...
... the latter the main flow I' '* Schlichting, H., Boundary Layer Theory, (19 68), 563, McGraw-Hill, New York Itaya, M, Bulletin o f J S M E , 7-26, (19 41- 2), 11 1-25 10 2 Flow of viscous fluid This ... Navier-Stokes equation (6 .13 ) using cylindrical coordinates Under the same conditions as in the previous section (6.3 .1) , simplify the upper equation in equation (6 .13 ) to give dp d2u l d u = ... Developments in Fluid Dynamics, (19 65), 336, Dover, New York) lo It may also be expressed as P/u, = u', u.y/v = y+ 10 0 Flow of viscous fluid Theodor von Karman (18 81- 1963) Studied at the Royal Polytechnic...