Warp Field Mechanics 101


 Sherilyn Allison
 1 years ago
 Views:
Transcription
1 Warp Field Mechanic 101 Dr. Harold Sonny White NASA Johnon Space Center 2101 NASA Parkway, MC EP4 Houton, TX Abtract: Thi paper will begin with a hort review of the Alcubierre warp drive metric and decribe how the phenomenon might work baed on the original paper. The canonical form of the metric wa developed and publihed in [6] which provided key inight into the field potential and boot for the field which remedied a critical paradox in the original Alcubierre concept of operation. A modified concept of operation baed on the canonical form of the metric that remedie the paradox i preented and dicued. The idea of a warp drive in higher dimenional pacetime (manifold) will then be briefly conidered by comparing the nulllike geodeic of the Alcubierre metric to the ChungFreee metric to illutrate the mathematical role of hyperpace coordinate. The net effect of uing a warp drive technology coupled with conventional propulion ytem on an exploration miion will be dicued uing the nomenclature of early miion planning. Finally, an overview of the warp field interferometer tet bed being implemented in the Advanced Propulion Phyic Laboratory: Eaglework (APPL:E) at the Johnon Space Center will be detailed. While warp field mechanic ha not had a Chicago Pile moment, the tool neceary to detect a modet intance of the phenomenon are near at hand. Keyword: warp, boot, York Time, bulk, brane Introduction How hard i intertellar flight without ome form of a warp drive? Conider the Voyager 1 pacecraft [1], a mall mt pacecraft launched in 1977, it i currently out at ~116 Atronomical Unit (AU) after 33 year of flight with a cruie peed of 3.6 AU per year. Thi i the highet energy craft ever launched by mankind to date, yet it will take ~75000 year to reach Proxima Centauri, the nearet tar at 4.3 light year away in our neighboring trinary ytem, Alpha Centauri. Recent informal miion trade have been aeing the capabilitie of emerging high power EP ytem coupled to light nuclear reactor to accomplih the reference Thouand Atronomical Unit (TAU) [2] miion in ~15 year. Rough calculation ugget that uch a Nuclear Electric Propulion (NEP) robotic miion would pa Voyager 1 in jut a few year on it way to reaching 1000 AU in 15 year. While thi i a handy improvement over Voyager 1 tatitic  almot 2 order of magnitude, thi peedy robotic craft would till take thouand of year to cro the black ocean to Proxima Centauri. Clearly intertellar flight will not be an eay endeavor.
2 Background The tudy of intertellar flight i not a new puruit, and there have been numerou tudie publihed in the literature that conider how to approach robotic intertellar miion to ome of our cloet tellar neighbor, with the objective of having tranit time cloer to the 100 year mark rather than thouand of year. One of the mot familiar tudie i Project Daedelu [3] ponored by the Britih Interplanetary Society in The Daedelu tudy objective wa to conider a 50year robotic miion to Barnard tar, which i ~6 light year away. The pacecraft detailed in the report wa quite maive weighing in at mt, 92% of which wa propellant for the fuion propulion ytem. For comparion, the International Space Station i a modet ~400 mt, thu the Daedelu pacecraft i nearly the equivalent of 150 International Space Station. Project Longhot [4], a joint NASANAVY tudy in the late 1980 to develop a robotic intertellar miion to Alpha Centaury, produced a 400 mt (67% propellant) robotic pacecraft that could reach Alpha Centaury in 100 year. At one ISS of ma, thi vehicle i eaier to viualize than it heftier older couin, Daedelu. There are many other tudie that have been performed over the year each having light permutation on the anwer, primarily depending on the integrated efficiency of converting propellant ma directly into pacecraft kinetic energy (matterantimatter being among the bet). All reult are of coure bounded by the peed of light, meaning earthbound oberver will likely perceive intertellar tranit time of outbound pacecraft in decade, centurie, or more. Alcubierre Metric I there a way within the framework of current phyic model uch that one could cro any given comic ditance in an arbitrarily hort period of time, while never breaking the peed of light? Thi i the quetion that motivated Miguel Alcubierre to develop and publih a poible mathematical olution to the quetion back in 1994 [5]. Since the expanion and contraction of pace doe not have a peed limit, Alcubierre developed a model (metric) within the domain of general relativity that ue thi phyic loop hole and ha almot all of the deired characteritic of a true intertellar pace drive, much like what i routinely depicted in cience fiction a a warp drive. The metric that i dicued in the paper i preented in equation 1. Thi ue the familiar coordinate, (t, x, y, z) and curve x = x (t), y = 0, z=0 where x i analogou to what i commonly referred to a a pacecraft trajectory. d 2 = c 2 dt 2 + [dx v (t)f(r )dt] 2 + dy 2 + dz 2 (1) In thi metric, v i defined a the velocity of the pacecraft moving frame, dx /dt, and r i the radial poition in the commoving pherical pace around the pacecraft origin. The f(r ) term i a top hat haping function that i defined a: f(r ) = tanh σ(r + R) tanh σ(r R) 2 tanh(σr)
3 The parameter σ and R when mapped into the metric given in equation 1 control the wall thickne and radiu of the warp bubble repectively. For very large σ, the wall thickne of the bubble become exceedingly thin, approaching zero thickne in the limit. The driving phenomenon that facilitate peedy travel to tellar neighbor i propoed to be the expanion and contraction of pace (York Time) hown in equation 2. Figure 1 how everal urface plot of the York Time urrounding the pacecraft. The region directly in front of the pacecraft experience the mot contraction of pace, while the region directly behind the pacecraft experience the mot expanion of pace. The phenomenon revere ign at the x = x ymmetry urface. A the warp bubble thickne i decreaed, the magnitude of the York Time increae. Thi behavior when mapped over to the energy denity requirement will be dicued in the next ection. θ = v x r df dr (2) Figure 1: York Time, θ, i depicted for everal different warp bubble wall thicknee, σ. The energy denity hown in equation 3 for the field ha a toroidal form that i axiymmetric about the xaxi, and ha a ymmetry urface at x = x. The energy denity i exactly zero along the xaxi. For a fixed target velocity v and warp bubble radiu R, varying the warp bubble thickne σ change the required peak energy denity for the field at a fixed velocity. Figure 2 how the relative change in energy denity for everal warp bubble wall thicknee. A i evident when comparing the magnitude, a the warp bubble i allowed to get thicker, the required denity i dratically greatly reduced, but the toroid grow from a thin equatorial belt to a diffue donut. The advantage of allowing a thicker warp bubble wall i that the integration of the total energy denity for the rightmot field i order of magnitude le that the leftmot field. The drawback i that the volume of the flat pacetime in the center of the bubble i reduced. Still, a minimal reduction in flat pacetime volume appear to yield a dratic reduction in total energy requirement that would likely outweigh reduced realetate. Sloppy warp field would appear to be eaier to engineer than precie warp field. Some additional appealing characteritic of the metric i that the proper acceleration α i zero, meaning there i no acceleration felt in the flat pacetime volume inide the warp bubble when the field i turned on, and the coordinate
4 time t in the flat pacetime volume i the ame a proper time τ, meaning the clock on board the pacecraft proper beat at the ame rate a clock on earth. T 00 = 1 8π v 2 ρ 2 4r 2 df dr 2 (3) Figure 2: Energy denity, T 00, i depicted for everal different warp bubble wall thicknee, σ. The concept of operation a decribed by Alcubierre i that the pacecraft would depart the point of origin (e.g. earth) uing ome conventional propulion ytem and travel a ditance d, then bring the craft to a top relative to the departure point. The field would be turned on and the craft would zip off to it tellar detination, never locally breaking the peed of light, but covering the ditance in an arbitrarily hort time period of time jut the ame. The field would be turned off a imilar tandoff ditance from the detination, and the craft would finih the journey conventionally. Thi approach would allow a journey to ay Alpha Centauri a meaured by an earth bound oberver (and pacecraft clock) meaured in week or month, rather than decade or centurie. A paradox identified in [6] i an iue that arie due to the ymmetry of the energy denity about the x = x urface. When the energy denity i initiated, the choice in direction of the +xaxi i mathematically arbitrary, o how doe the pacecraft know which direction to go? Comparing Figure 1 to Figure 2 viually diplay the aymmetry of the York Time and the ymmetry of the energy denity. Both et of three frame were purpoely aligned to make direct comparion eaier. Thi aymmetry/ymmetry paradox iue can be potentially reolved when conidering the canonical form of the metric derived by uing a gauge tranformation in [6] a hown in equation 4. d 2 = (v 2 f(r ) 2 1) dt v f(r ) v 2 f(r ) 2 1 dx 2 dx 2 + dy 2 + dz 2 (4) Uing thi canonical form, the field potential φ and the boot γ can be determined uing the tandard identity γ = coh(φ). They are, repectively:
5 φ = 1 2 ln 1 v 2 f(r ) 2 and trivially, γ = coh 1 2 ln 1 v 2 f(r ) 2 Uing thi new information, a modified concept of operation i propoed that may reolve the aymmetry/ymmetry paradox. In thi modified concept of operation, the pacecraft depart earth and etablihe an initial ubluminal velocity v i, then initiate the field. When active, the field boot act on the initial velocity a a calar multiplier reulting in a much higher apparent peed, <v eff >= γ v i a meaured by either an earth bound oberver or an oberver in the bubble. Within the hell thickne of the warp bubble region, the pacecraft never locally break the peed of light and the net effect a een by earth/hip oberver i analogou to watching a film in fat forward. Conider the following to help illutrate the point aume the pacecraft head out toward Alpha Centauri and ha a conventional propulion ytem capable of reaching 0.1c. The pacecraft initiate a boot field with a value of 100 which act on the initial velocity reulting in an apparent peed of 10c. The pacecraft will make it to Alpha Centauri in 0.43 year a meaured by an earth oberver and an oberver in the flat pacetime volume encapulated by the warp bubble. While thi line of reaon eem to reolve the paradox, it alo ugget that the York Time may not be the driving phenomenon, rather a econdary reult. In thi phyical explanation of the mathematic, the York Time might be thought of a perhap a Doppler train on pace a thi pherical region i propelled through pace. A pedetrian analog to ue to help enviion thi concept would be to conider the hydrodynamic preure gradient that form around a pherical body moving through a fluid the front hemiphere ha a high preure region while the rear hemiphere ha a low preure region. Analogouly, the warp bubble travelling through pacetime caue pace to pile up (contract) in front of the bubble, and tretch out (expand) behind the bubble. Figure 3 depict the boot field for the metric, and how that the toroidal ring of energy denity create pherical boot potential urrounding a flat pacetime volume. Alo note peudohorizon at v 2 f(r ) 2 =1 where photon tranition from nulllike to pacelike and back to null like upon exiting. Thi i not een unle the field meh i et fine enough. The coare meh on the right did not detect the horizon. Figure 3: Boot plot for the field
6 ChungFreee Metric Additional work ha been publihed that expand the idea of a warp drive into higher dimenional pacetime. In 2000, Chung and Freee [7] publihed a higher dimenional pacetime model that i a modified FriedmannRobertonWalker (FRW) metric a hown in equation 5. The idea of a higher dimenional model i that the tandard 3+1 ubpace exit a a brane embedded in thi higher dimenional pacetime labeled the bulk. The ize and number of extra dimenion are not explored in thi paper; rather the dicuion will tick to the original form of the publihed metric. d 2 = c 2 dt 2 + a2 (t) e 2kU dx2 + du 2 (5) The dx 2 term repreent the 3+1 pace (on the brane), while the du 2 term repreent the bulk with the brane being located at U=0. The a(t) term i the cale factor, and k i a compactification factor for the extra pace dimenion. A conventional analogy to help viualize the branebulk relationhip, conider a 2D heet that exit in a 3D pace. The 2D inhabitant if the flatland ubpace have a manifold that i mapped out with the imple metric, dx 2 + dy 2, where thi can be viewed a being analogou to the dx 2 term in equation 5. The remainder of the 3D bulk pace i mapped by the zaxi, and anything not on the heet would have a nonzero zcoordinate. Thi additional dz 2 term i, from the perpective of the 2D inhabitant, the du 2 term in equation 5. Anything not on the 2D heet would be labeled a being in the bulk with thi implified analogy. In order to illutrate the mathematical relationhip between a hyper drive and a warp drive, the nulllike geodeic for the ChungFreee metric will be conidered and compared to the conjectured driving phenomenon in the Alcubierre metric, the boot. The equation for the nulllike geodeic for equation 5 i (etting c=1): dx dt = eku a(t) 1 du2 dt 2 If du/dt i et to 1, then a tet photon that ha a velocity vector orthogonal to the brane would have a zero peed a meaured on the brane, dx/dt=0. If a tet photon ha du/dt=0, but arbitrarily large U coordinate, dx/dt will be large, poibly >>1. Remember that c wa et to 1, o dx/dt >1 i analogou to the hyperfat travel character of the Alcubierre metric. The behavior of the nulllike geodeic in the ChungFreee metric become pacelike a U get large. The nulllike geodeic in the Alcubierre metric become pacelike within the warp bubble, or where the boot get large. Thi ugget that the hyperpace coordinate erve the ame role a the boot, and the two can be informally related by the imple relationhip γ~e U. A large boot correpond to an object being further off the brane and into the bulk. Miion Planning with a Warpenabled Sytem To thi point, the dicuion ha been centered on the intertellar capability of the model, but in the interet of addreing the crawlwalkrun paradigm that i a taple of the engineering and cientific
7 dicipline, a more dometic application within the earth gravitational well will be conidered. A a preamble, recall that the driving phenomenon for the Alcubierre metric wa peculated to be the boot acting on an initial velocity. Can thi peculation be hown to be conitent when uing the tool of early reference miion planning while conidering a warpenabled ytem? Note that the energy denity for the metric i negative, o the proce of turning on a theoretical ytem with the ability to generate a negative energy denity, or a negative preure a wa hown in [8], will add an effective negative ma to the pacecraft overall ma budget. In the regime of reference miion development uing lowthrut electric propulion ytem for inpace propulion, planner will cat part of the trade pace into a domain that compare a pacecraft pecific ma α to tranit time. While electric propulion ha excellent fuel economy due to high pecific impule that are meaured in thouand of econd, it require electric power meaured in 100 of kw to keep trip time manageable for human exploration cla payload. Figure 4 how a notional plot for a human exploration olar electric propulion tug ized to move payload up and down the earth well to L1 in thi cae. If time were of no conequence, then much of thi dicuion would be moot, but a experience how, time i a contraint that i traded with other miion contraint like delivered payload, power requirement, launch and aembly manifet, crew cycling frequency, miion objective, heliocentric tranfer date, and more. The pecific ma of an element for an exploration architecture or reference miion can be determined by dividing the pacecraft beginning of life wet ma by the power level. Specific ma can alo be calculated at the ubytem level if competing technologie are being compared for a particular function, but for thi exercie, the integrated vehicle pecific ma will be ued. The tranit time for a miion trajectory can then be calculated and plotted on a graph that compare pecific ma to tranit time. Thi can be done for a few dicrete vehicle configuration, and the curve that fit thee point will allow miion planner to extrapolate between the point when adding and ubtracting ma, either in the form of payload or ubytem, for a particular power level. Figure 4 how a imple plot of thi approach for two pecific impule/efficiency value repreenting notional engine choice. It i apparent from the graph that lower pecific impule yield reduced trip time, but thi alo reduce delivered payload. However, if negative ma i added to the pacecraft ma budget, then the effective pecific ma and tranit time are reduced without necearily reducing payload. A quetion to poe i what effect doe thi have mathematically? If energy i to be conerved, then ½ mv 2 would need to yield a higher effective velocity to compenate for apparent reduction in ma. Auming a point deign olution of 5000kg BOL ma coupled to a 100kW Hall thruter ytem (lower curve), the expected tranit time i ~70 day for a pecific ma of 50 kg/kw without the aid of a warp drive. If a very modet warp drive ytem i intalled that can generate a negative energy denity that integrate to ~2000kg of negative ma when active, the pecific ma i dropped from 50 to 30 which yield a reduced tranit time of ~40 day. A the amount of negative ma approache 5000 kg, the pecific ma of the pacecraft approache zero, and the tranit time become exceedingly mall, approaching zero in the limit. In thi implified context, the idea of a warp drive may have ome fruitful dometic application ubliminally, allowing it to be matured before it i engaged a a true intertellar drive ytem.
8 Figure 4: Trip time to L1 a a function of Beginning of Life (BOL) pecific ma. Advanced Propulion Phyic Lab: Eaglework A good quetion to ak at the end of thi dicuion i can an experiment be deigned to generate and meaure a very modet intantiation of a warp field? A briefly dicued by the author in [9], a MichelonMorley interferometer may be a ueful tool for the detection of uch a phenomenon. Figure 5 depict a warp field interferometer experiment that ue a 633nm HeNe laer to evaluate the effect of York Time perturbation within a mall (~1cm) pherical region. Acro 1cm, the experimental rig hould be able to meaure pace perturbation down to ~1 part in 10,000,000. A previouly dicued, the canonical form of the metric ugget that boot may be the driving phenomenon in the proce of phyically etablihing the phenomenon in a lab. Further, the energy denity character over a number of hell thicknee ugget that a toroidal donut of boot can etablih the pherical region. Baed on the expected enitivity of the rig, a 1cm diameter toroidal tet article (omething a imple a a very highvoltage capacitor ring) with a boot on the order of i neceary to generate an effect that can be effectively detected by the apparatu. The intenity and patial ditribution of the phenomenon can be quantified uing 2D analytic ignal technique comparing the detected interferometer fringe plot with the tet device off with the detected plot with the device energized. Figure 5 alo ha a numerical example of what the before and after fringe plot may look like with the preence of a pherical diturbance of the trength jut dicued. While thi would be a very modet intantiation of the phenomenon, it would likely be Chicago pile moment for thi area of reearch.
9 Figure 5: Warp Field Interferometer layout (here, φ i the phae angle). Concluion In thi paper, the mathematical characteritic of the Alcubierre metric were introduced and dicued, the canonical form wa preented and explored, and the idea of a warp drive wa even conidered within a higher dimenional manifold. The driving phenomenon wa conjectured to be the boot field a oppoed to purely the York Time which reolved the aymmetry/ymmetry paradox. An early idea of a warp drive wa briefly dicued within the context of miion planning to elucidate the impact uch a ubytem would have on the miion trade pace. Finally, a laboratory experiment that might produce a modet intantiation of the phenomenon wa dicued. While it would appear that the model ha nearly all the deirable mathematical characteritic of a true intertellar pace drive, the metric ha one le appealing characteritic it violate all three energy condition (trong, weak, and dominant [9]) becaue of the need for negative energy denity. Thi doe not necearily preclude the idea a the como i continually experiencing inflation a evidenced by obervation, but the alient quetion i can the idea be engineered to a point that it prove ueful for exploration. A ignificant finding from thi effort new to the literature i that for a target velocity and pacecraft ize, the peak energy denity
10 requirement can be greatly reduced by allowing the wall thickne of the warp bubble to increae. Analyi performed in upport of generating the plot hown in Figure 1 and 2 alo indicate a correponding reduction in total energy when converted from geometric unit (G=c=1) to SI unit, but till how that the idea will not be an eay tak. So it remain to be een if the evolution of the phrae penned by J. M. Barrie in the tory Peter Pan will ever be uttered on the bridge of ome majetic tarhip jut embarking on a daring miion of deep pace exploration taking humanity beyond the bound of thi olar ytem and boldly going out into the tar: 2 nd tar to the right, traight on till morning Godpeed Reference [1] Available at: [2] Nock, k. T., TAU A Miion to a Thouand Atronomical Unit, 19th AIAA/DGLR/JSASS International Electric Propulion Conference, Colorado Spring, (1987). [3] Bond, Martin, Project Daedalu: The Miion Profile, JBIS: Project Daedalu Final Report (1978). [4] Available at: [5] Alcubierre, M., The warp drive: hyperfat travel within general relativity, Cla. Quant. Grav. 11, L73L77 (1994). [6] White, H., A Dicuion on pacetime metric engineering, Gen. Rel. Grav. 35, (2003). [7] Chung, D. J. H., and Freee, K., Can geodeic in extra dimenion olve the comological horizon problem?, Phy. Rev. D 62, (2000). [8] White, H., Davi, E., The Alcubierre Warp Drive in Higher Dimenional Spacetime, in proceeding of Space Technology and Application International Forum (STAIF 2006), edited by M. S. ElGenk, American Intitute of Phyic, Melville, New York, (2006). [9] S.W. Hawking and G.F.R. Elli, The Large Scale Structure of Spacetime, Cambridge Univerity Pre, (1973).
11 #"!#% )&( )***+ )/.,+ ). 0,, ) &, 0. )* 0&1  +,
12 #%&( +)*), +,)
13 #%&( +)*), +,)
14 ! " "! # " % &! "!!! " " "! ( ) #%&( +)*), +,)
15 !! " # &% ( )!! % * +," /. 0% %!,% % 211 &/ 0% ,% ##"!
16 #%&( +)*), +,) #+ 0 % 3+% &* /(  0* &,., / % / , /+ % 1 + +
17 ! ( dx v f ( r ) dt ) + dy dz 2 2 d = dt + + ( σ ( r + R ) ) tanh ( σ ( r R ) ) tanh f ( r ) = 2 tanh( σ R ) %& & #"!#& ) r ( dr df x r v = θ ( #%&( +)*), +,)
18 #%&( +)*), +,)
19 #%&( +)*), +,)
20 ( ) ) ( = dr r df r z y v G π π #%&( +)*), +,)
21 #%&( +)*), +,) &+ % 4#+%,,1 11,.,,.%,+ 0+ /+ % 1 +
22 #%&( +)*), +,) &+ % 4#+%,,1 11,.,,.%,+ 0+ /+ % 1 +
23 2 2 2 v f ( r ) [ v f ( r ) 1 ] dt dx dx + dy dz ) r ( f v! & & & & 2 2 [ v f ( r ) 1 ] d 2 Φ 2 e c = r = ( dx v f ( r ) dt ) + dy dz 2 2 d = dt [ 1 v f ( r ) ] ln 1 2 Φ = = coh(φ) γ Φ #%&( +)*), +,)
24 ) #%&( +)*), +,)
25 γ #&&! # & ## &#!& & #&&!!! & & & ## #! & #&&! # #%&( +)*), +,)
26 , #%&( +)*), +,) & + &,.% 4+ +% % +% ,., 1,, 0/ % &, 01 % &+ 4/+.
27 ku ( ) a t d c dt dx du e = + + # #& # & &!& &#&!&!&! " #& & # # & " #&!! #&! ## # & &! #& ## " &! ##&! #! #%&( +)*), +,) (
28 % #!# & #& % &#" %! # & & # %! # % & % # ku ( ) dx ce du dt a t c dt = U e γ # % % # & % #! &&! & &! & & &#& & & & &#& # ##&& &! # # #%&( +)*), +,)
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
30
31 λ ) ) γ φ φ #%&( +)*), +,)
32 λ ), ( y x X ), ( 1 y x X ), ( ), ( y x j e y x M φ φ &% ( & &!!( &(( &(! (( #(! ( ,),,), )) #%&( +)*), +,)
33 , 2 nd tar to the right, traight on till m orning Godpeed! ))) # &1 + )&( )***+ ,.+ /.+,!, , 
Unit 11 Using Linear Regression to Describe Relationships
Unit 11 Uing Linear Regreion to Decribe Relationhip Objective: To obtain and interpret the lope and intercept of the leat quare line for predicting a quantitative repone variable from a quantitative explanatory
More informationTwo Dimensional FEM Simulation of Ultrasonic Wave Propagation in Isotropic Solid Media using COMSOL
Excerpt from the Proceeding of the COMSO Conference 0 India Two Dimenional FEM Simulation of Ultraonic Wave Propagation in Iotropic Solid Media uing COMSO Bikah Ghoe *, Krihnan Balaubramaniam *, C V Krihnamurthy
More informationOptical Illusion. Sara Bolouki, Roger Grosse, Honglak Lee, Andrew Ng
Optical Illuion Sara Bolouki, Roger Groe, Honglak Lee, Andrew Ng. Introduction The goal of thi proect i to explain ome of the illuory phenomena uing pare coding and whitening model. Intead of the pare
More information2. METHOD DATA COLLECTION
Key to learning in pecific ubject area of engineering education an example from electrical engineering AnnaKarin Cartenen,, and Jonte Bernhard, School of Engineering, Jönköping Univerity, S Jönköping,
More informationQueueing systems with scheduled arrivals, i.e., appointment systems, are typical for frontal service systems,
MANAGEMENT SCIENCE Vol. 54, No. 3, March 28, pp. 565 572 in 25199 ein 1526551 8 543 565 inform doi 1.1287/mnc.17.82 28 INFORMS Scheduling Arrival to Queue: A SingleServer Model with NoShow INFORMS
More informationA technical guide to 2014 key stage 2 to key stage 4 value added measures
A technical guide to 2014 key tage 2 to key tage 4 value added meaure CONTENTS Introduction: PAGE NO. What i value added? 2 Change to value added methodology in 2014 4 Interpretation: Interpreting chool
More informationDISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS
DISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS Chritopher V. Kopek Department of Computer Science Wake Foret Univerity WintonSalem, NC, 2709 Email: kopekcv@gmail.com
More informationDISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS. G. Chapman J. Cleese E. Idle
DISTRIBUTED DATA PARALLEL TECHNIQUES FOR CONTENTMATCHING INTRUSION DETECTION SYSTEMS G. Chapman J. Cleee E. Idle ABSTRACT Content matching i a neceary component of any ignaturebaed network Intruion Detection
More informationHeat transfer to or from a fluid flowing through a tube
Heat tranfer to or from a fluid flowing through a tube R. Shankar Subramanian A common ituation encountered by the chemical engineer i heat tranfer to fluid flowing through a tube. Thi can occur in heat
More informationPhysics 111. Exam #1. January 24, 2014
Phyic 111 Exam #1 January 24, 2014 Name Pleae read and follow thee intruction carefully: Read all problem carefully before attempting to olve them. Your work mut be legible, and the organization clear.
More informationExposure Metering Relating Subject Lighting to Film Exposure
Expoure Metering Relating Subject Lighting to Film Expoure By Jeff Conrad A photographic expoure meter meaure ubject lighting and indicate camera etting that nominally reult in the bet expoure of the film.
More informationA Spam Message Filtering Method: focus on run time
, pp.2933 http://dx.doi.org/10.14257/atl.2014.76.08 A Spam Meage Filtering Method: focu on run time SinEon Kim 1, JungTae Jo 2, SangHyun Choi 3 1 Department of Information Security Management 2 Department
More informationNUMERICAL SIMULATION OF WATER CIRCULATION IN A CYLINDRICAL HORIZONTAL THERMAL TANK
NUMERICAL SIMULATION OF WATER CIRCULATION IN A CYLINDRICAL HORIZONTAL THERMAL TANK D. L. Savicki a, and H. A. Vielmo b, a Federal Univerity of Rio Grande Intitute of Mathematic, Statitic and Phyic Av.
More informationReport 46681b 30.10.2010. Measurement report. Sylomer  field test
Report 46681b Meaurement report Sylomer  field tet Report 46681b 2(16) Contet 1 Introduction... 3 1.1 Cutomer... 3 1.2 The ite and purpoe of the meaurement... 3 2 Meaurement... 6 2.1 Attenuation of
More informationv = x t = x 2 x 1 t 2 t 1 The average speed of the particle is absolute value of the average velocity and is given Distance travelled t
Chapter 2 Motion in One Dimenion 2.1 The Important Stuff 2.1.1 Poition, Time and Diplacement We begin our tudy of motion by conidering object which are very mall in comparion to the ize of their movement
More informationAssessing the Discriminatory Power of Credit Scores
Aeing the Dicriminatory Power of Credit Score Holger Kraft 1, Gerald Kroiandt 1, Marlene Müller 1,2 1 Fraunhofer Intitut für Techno und Wirtchaftmathematik (ITWM) GottliebDaimlerStr. 49, 67663 Kaierlautern,
More informationInternational Journal of Heat and Mass Transfer
International Journal of Heat and Ma Tranfer 5 (9) 14 144 Content lit available at ScienceDirect International Journal of Heat and Ma Tranfer journal homepage: www.elevier.com/locate/ijhmt Technical Note
More informationProject Management Basics
Project Management Baic A Guide to undertanding the baic component of effective project management and the key to ucce 1 Content 1.0 Who hould read thi Guide... 3 1.1 Overview... 3 1.2 Project Management
More information6. Friction, Experiment and Theory
6. Friction, Experiment and Theory The lab thi wee invetigate the rictional orce and the phyical interpretation o the coeicient o riction. We will mae ue o the concept o the orce o gravity, the normal
More informationA model for the relationship between tropical precipitation and column water vapor
Click Here for Full Article GEOPHYSICAL RESEARCH LETTERS, VOL. 36, L16804, doi:10.1029/2009gl039667, 2009 A model for the relationhip between tropical precipitation and column water vapor Caroline J. Muller,
More informationMECH 2110  Statics & Dynamics
Chapter D Problem 3 Solution 1/7/8 1:8 PM MECH 11  Static & Dynamic Chapter D Problem 3 Solution Page 7, Engineering Mechanic  Dynamic, 4th Edition, Meriam and Kraige Given: Particle moving along a traight
More informationBrand Equity Net Promoter Scores Versus Mean Scores. Which Presents a Clearer Picture For Action? A NonElite Branded University Example.
Brand Equity Net Promoter Score Veru Mean Score. Which Preent a Clearer Picture For Action? A NonElite Branded Univerity Example Ann Miti, Swinburne Univerity of Technology Patrick Foley, Victoria Univerity
More informationChapter 3 Torque Sensor
CHAPTER 3: TORQUE SESOR 13 Chapter 3 Torque Senor Thi chapter characterize the iue urrounding the development of the torque enor, pecifically addreing meaurement method, tranducer technology and converter
More informationREDUCTION OF TOTAL SUPPLY CHAIN CYCLE TIME IN INTERNAL BUSINESS PROCESS OF REAMER USING DOE AND TAGUCHI METHODOLOGY. Abstract. 1.
International Journal of Advanced Technology & Engineering Reearch (IJATER) REDUCTION OF TOTAL SUPPLY CHAIN CYCLE TIME IN INTERNAL BUSINESS PROCESS OF REAMER USING DOE AND Abtract TAGUCHI METHODOLOGY Mr.
More informationLinear Momentum and Collisions
Chapter 7 Linear Momentum and Colliion 7.1 The Important Stuff 7.1.1 Linear Momentum The linear momentum of a particle with ma m moving with velocity v i defined a p = mv (7.1) Linear momentum i a vector.
More informationBUILTIN DUAL FREQUENCY ANTENNA WITH AN EMBEDDED CAMERA AND A VERTICAL GROUND PLANE
Progre In Electromagnetic Reearch Letter, Vol. 3, 51, 08 BUILTIN DUAL FREQUENCY ANTENNA WITH AN EMBEDDED CAMERA AND A VERTICAL GROUND PLANE S. H. ZainudDeen Faculty of Electronic Engineering Menoufia
More informationFigure 2.1. a. Block diagram representation of a system; b. block diagram representation of an interconnection of subsystems
Figure. a. Block diagram repreentation o a ytem; b. block diagram repreentation o an interconnection o ubytem REVIEW OF THE LAPLACE TRANSFORM Table. Laplace tranorm table Table. Laplace tranorm theorem
More informationFEDERATION OF ARAB SCIENTIFIC RESEARCH COUNCILS
Aignment Report RP/98983/5/0./03 Etablihment of cientific and technological information ervice for economic and ocial development FOR INTERNAL UE NOT FOR GENERAL DITRIBUTION FEDERATION OF ARAB CIENTIFIC
More informationTransient turbulent flow in a pipe
Tranient turbulent flow in a pipe M. S. Ghidaoui A. A. Kolyhkin Rémi Vaillancourt CRM3176 January 25 Thi work wa upported in part by the Latvian Council of Science, project 4.1239, the Natural Science
More informationFLUID MECHANICS. TUTORIAL No.4 FLOW THROUGH POROUS PASSAGES
FLUID MECHANICS TUTORIAL No.4 FLOW THROUGH POROUS PASSAGES In thi tutorial you will continue the work on laminar flow and develop Poieuille' equation to the form known a the Carman  Kozeny equation. Thi
More informationName: SID: Instructions
CS168 Fall 2014 Homework 1 Aigned: Wedneday, 10 September 2014 Due: Monday, 22 September 2014 Name: SID: Dicuion Section (Day/Time): Intruction  Submit thi homework uing Pandagrader/GradeScope(http://www.gradecope.com/
More informationMixed Method of Model Reduction for Uncertain Systems
SERBIAN JOURNAL OF ELECTRICAL ENGINEERING Vol 4 No June Mixed Method of Model Reduction for Uncertain Sytem N Selvaganean Abtract: A mixed method for reducing a higher order uncertain ytem to a table reduced
More informationEXPERIMENT 11 CONSOLIDATION TEST
119 EXPERIMENT 11 CONSOLIDATION TEST Purpoe: Thi tet i performed to determine the magnitude and rate of volume decreae that a laterally confined oil pecimen undergoe when ubjected to different vertical
More informationGrowing SelfOrganizing Maps for Surface Reconstruction from Unstructured Point Clouds
Growing SelfOrganizing Map for Surface Recontruction from Untructured Point Cloud Renata L. M. E. do Rêgo, Aluizio F. R. Araújo, and Fernando B.de Lima Neto Abtract Thi work introduce a new method for
More informationAnalysis of Mesostructure Unit Cells Comprised of Octettruss Structures
Analyi of Meotructure Unit Cell Compried of Octettru Structure Scott R. Johnton *, Marque Reed *, Hongqing V. Wang, and David W. Roen * * The George W. Woodruff School of Mechanical Engineering, Georgia
More informationTurbulent Mixing and Chemical Reaction in Stirred Tanks
Turbulent Mixing and Chemical Reaction in Stirred Tank André Bakker Julian B. Faano Blend time and chemical product ditribution in turbulent agitated veel can be predicted with the aid of Computational
More informationCHAPTER 5 BROADBAND CLASSE AMPLIFIER
CHAPTER 5 BROADBAND CLASSE AMPLIFIER 5.0 Introduction ClaE amplifier wa firt preented by Sokal in 1975. The application of cla E amplifier were limited to the VHF band. At thi range of frequency, clae
More informationMathematical Modeling of Molten Slag Granulation Using a Spinning Disk Atomizer (SDA)
Mathematical Modeling of Molten Slag Granulation Uing a Spinning Dik Atomizer (SDA) Hadi Purwanto and Tomohiro Akiyama Center for Advanced Reearch of Energy Converion Material, Hokkaido Univerity Kita
More informationHUMAN CAPITAL AND THE FUTURE OF TRANSITION ECONOMIES * Michael Spagat Royal Holloway, University of London, CEPR and Davidson Institute.
HUMAN CAPITAL AND THE FUTURE OF TRANSITION ECONOMIES * By Michael Spagat Royal Holloway, Univerity of London, CEPR and Davidon Intitute Abtract Tranition economie have an initial condition of high human
More informationMSc Financial Economics: International Finance. Bubbles in the Foreign Exchange Market. Anne Sibert. Revised Spring 2013. Contents
MSc Financial Economic: International Finance Bubble in the Foreign Exchange Market Anne Sibert Revied Spring 203 Content Introduction................................................. 2 The Mone Market.............................................
More informationIntroduction to the article Degrees of Freedom.
Introduction to the article Degree of Freedom. The article by Walker, H. W. Degree of Freedom. Journal of Educational Pychology. 3(4) (940) 5369, wa trancribed from the original by Chri Olen, George Wahington
More informationTowards ControlRelevant Forecasting in Supply Chain Management
25 American Control Conference June 81, 25. Portland, OR, USA WeA7.1 Toward ControlRelevant Forecating in Supply Chain Management Jay D. Schwartz, Daniel E. Rivera 1, and Karl G. Kempf Control Sytem
More information1) Assume that the sample is an SRS. The problem state that the subjects were randomly selected.
12.1 Homework for t Hypothei Tet 1) Below are the etimate of the daily intake of calcium in milligram for 38 randomly elected women between the age of 18 and 24 year who agreed to participate in a tudy
More informationAccelerationDisplacement Crash Pulse Optimisation A New Methodology to Optimise Vehicle Response for Multiple Impact Speeds
AccelerationDiplacement Crah Pule Optimiation A New Methodology to Optimie Vehicle Repone for Multiple Impact Speed D. Gildfind 1 and D. Ree 2 1 RMIT Univerity, Department of Aeropace Engineering 2 Holden
More informationSTRUCTURAL DESIGN NOTES TOPIC C PRESSURE VESSEL STRESS ANALYSIS J. E. Meyer revision of August 1996
STRUCTURAL DESIGN NOTES TOPIC C PRESSURE VESSEL STRESS ANALYSIS J. E. Meyer reviion of Augut 1996 1. INTRODUCTION Thee note upplement cla lecture on "thin hell" preure veel tre analyi. The ue of the implified
More informationDMA Departamento de Matemática e Aplicações Universidade do Minho
Univeridade do Minho DMA Departamento de Matemática e Aplicaçõe Univeridade do Minho Campu de Gualtar 4757 Braga Portugal www.math.uminho.pt Univeridade do Minho Ecola de Ciência Departamento de Matemática
More informationSCM integration: organiational, managerial and technological iue M. Caridi 1 and A. Sianei 2 Dipartimento di Economia e Produzione, Politecnico di Milano, Italy Email: maria.caridi@polimi.it Itituto
More informationChapter 10 Velocity, Acceleration, and Calculus
Chapter 10 Velocity, Acceleration, and Calculu The firt derivative of poition i velocity, and the econd derivative i acceleration. Thee derivative can be viewed in four way: phyically, numerically, ymbolically,
More informationCHARACTERISTICS OF WAITING LINE MODELS THE INDICATORS OF THE CUSTOMER FLOW MANAGEMENT SYSTEMS EFFICIENCY
Annale Univeritati Apuleni Serie Oeconomica, 2(2), 200 CHARACTERISTICS OF WAITING LINE MODELS THE INDICATORS OF THE CUSTOMER FLOW MANAGEMENT SYSTEMS EFFICIENCY Sidonia Otilia Cernea Mihaela Jaradat 2 Mohammad
More informationA note on profit maximization and monotonicity for inbound call centers
A note on profit maximization and monotonicity for inbound call center Ger Koole & Aue Pot Department of Mathematic, Vrije Univeriteit Amterdam, The Netherland 23rd December 2005 Abtract We conider an
More informationPartial optimal labeling search for a NPhard subclass of (max,+) problems
Partial optimal labeling earch for a NPhard ubcla of (max,+) problem Ivan Kovtun International Reearch and Training Center of Information Technologie and Sytem, Kiev, Uraine, ovtun@image.iev.ua Dreden
More informationRedesigning Ratings: Assessing the Discriminatory Power of Credit Scores under Censoring
Redeigning Rating: Aeing the Dicriminatory Power of Credit Score under Cenoring Holger Kraft, Gerald Kroiandt, Marlene Müller Fraunhofer Intitut für Techno und Wirtchaftmathematik (ITWM) Thi verion: June
More informationPerformance of a BrowserBased JavaScript Bandwidth Test
Performance of a BrowerBaed JavaScript Bandwidth Tet David A. Cohen II May 7, 2013 CP SC 491/H495 Abtract An exiting browerbaed bandwidth tet written in JavaScript wa modified for the purpoe of further
More informationCASE STUDY BRIDGE. www.futureprocessing.com
CASE STUDY BRIDGE TABLE OF CONTENTS #1 ABOUT THE CLIENT 3 #2 ABOUT THE PROJECT 4 #3 OUR ROLE 5 #4 RESULT OF OUR COLLABORATION 67 #5 THE BUSINESS PROBLEM THAT WE SOLVED 8 #6 CHALLENGES 9 #7 VISUAL IDENTIFICATION
More informationResearch Article An (s, S) Production Inventory Controlled SelfService Queuing System
Probability and Statitic Volume 5, Article ID 558, 8 page http://dxdoiorg/55/5/558 Reearch Article An (, S) Production Inventory Controlled SelfService Queuing Sytem Anoop N Nair and M J Jacob Department
More informationFinite Automata. a) Reading a symbol, b) Transferring to a new instruction, and c) Advancing the tape head one square to the right.
Finite Automata Let u begin by removing almot all of the Turing machine' power! Maybe then we hall have olvable deciion problem and till be able to accomplih ome computational tak. Alo, we might be able
More informationA Resolution Approach to a Hierarchical Multiobjective Routing Model for MPLS Networks
A Reolution Approach to a Hierarchical Multiobjective Routing Model for MPLS Networ Joé Craveirinha a,c, Rita GirãoSilva a,c, João Clímaco b,c, Lúcia Martin a,c a b c DEECFCTUC FEUC INESCCoimbra International
More informationBidding for Representative Allocations for Display Advertising
Bidding for Repreentative Allocation for Diplay Advertiing Arpita Ghoh, Preton McAfee, Kihore Papineni, and Sergei Vailvitkii Yahoo! Reearch. {arpita, mcafee, kpapi, ergei}@yahooinc.com Abtract. Diplay
More informationA New Optimum Jitter Protection for Conversational VoIP
Proc. Int. Conf. Wirele Commun., Signal Proceing (Nanjing, China), 5 pp., Nov. 2009 A New Optimum Jitter Protection for Converational VoIP Qipeng Gong, Peter Kabal Electrical & Computer Engineering, McGill
More informationAvailability of WDM Multi Ring Networks
Paper Availability of WDM Multi Ring Network Ivan Rado and Katarina Rado H d.o.o. Motar, Motar, Bonia and Herzegovina Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Univerity
More informationBioPlex Analysis Software
Multiplex Supenion Array BioPlex Analyi Software The Leader in Multiplex Immunoaay Analyi BioPlex Analyi Software If making ene of your multiplex data i your challenge, then BioPlex data analyi oftware
More informationSupport Vector Machine Based Electricity Price Forecasting For Electricity Markets utilising Projected Assessment of System Adequacy Data.
The Sixth International Power Engineering Conference (IPEC23, 2729 November 23, Singapore Support Vector Machine Baed Electricity Price Forecating For Electricity Maret utiliing Projected Aement of Sytem
More informationA Note on Profit Maximization and Monotonicity for Inbound Call Centers
OPERATIONS RESEARCH Vol. 59, No. 5, September October 2011, pp. 1304 1308 in 0030364X ein 15265463 11 5905 1304 http://dx.doi.org/10.1287/opre.1110.0990 2011 INFORMS TECHNICAL NOTE INFORMS hold copyright
More informationUsing Graph Analysis to Study Networks of Adaptive Agent
Uing Graph Analyi to Study Network of Adaptive Agent Sherief Abdallah Britih Univerity in Dubai, United Arab Emirate Univerity of Edinburgh, United Kingdom hario@ieee.org ABSTRACT Experimental analyi of
More informationControl of Wireless Networks with Flow Level Dynamics under Constant Time Scheduling
Control of Wirele Network with Flow Level Dynamic under Contant Time Scheduling Long Le and Ravi R. Mazumdar Department of Electrical and Computer Engineering Univerity of Waterloo,Waterloo, ON, Canada
More informationPlasma oscillations in highelectronmobility transistors with recessed gate
JOURNAL OF APPLIED PHYSICS 99, 084507 2006 Plama ocillation in highelectronmobility tranitor with receed gate V. Ryzhii a and A. Satou Computer Solid State Phyic Laboratory, Univerity of Aizu, AizuWakamatu
More informationDesign of Compound Hyperchaotic System with Application in Secure Data Transmission Systems
Deign of Compound Hyperchaotic Sytem with Application in Secure Data Tranmiion Sytem D. Chantov Key Word. Lyapunov exponent; hyperchaotic ytem; chaotic ynchronization; chaotic witching. Abtract. In thi
More informationMATLAB/Simulink Based Modelling of Solar Photovoltaic Cell
MATLAB/Simulink Baed Modelling of Solar Photovoltaic Cell Tarak Salmi *, Mounir Bouzguenda **, Adel Gatli **, Ahmed Mamoudi * *Reearch Unit on Renewable Energie and Electric Vehicle, National Engineering
More informationCASE STUDY ALLOCATE SOFTWARE
CASE STUDY ALLOCATE SOFTWARE allocate caetud y TABLE OF CONTENTS #1 ABOUT THE CLIENT #2 OUR ROLE #3 EFFECTS OF OUR COOPERATION #4 BUSINESS PROBLEM THAT WE SOLVED #5 CHALLENGES #6 WORKING IN SCRUM #7 WHAT
More informationBiObjective Optimization for the Clinical Trial Supply Chain Management
Ian David Lockhart Bogle and Michael Fairweather (Editor), Proceeding of the 22nd European Sympoium on Computer Aided Proce Engineering, 1720 June 2012, London. 2012 Elevier B.V. All right reerved. BiObjective
More informationMobility Improves Coverage of Sensor Networks
Mobility Improve Coverage of Senor Networ Benyuan Liu Dept. of Computer Science Univerity of MaachuettLowell Lowell, MA 1854 Peter Bra Dept. of Computer Science City College of New Yor New Yor, NY 131
More informationTap Into Smartphone Demand: Mobileizing Enterprise Websites by Using Flexible, Open Source Platforms
Tap Into Smartphone Demand: Mobileizing Enterprie Webite by Uing Flexible, Open Source Platform acquia.com 888.922.7842 1.781.238.8600 25 Corporate Drive, Burlington, MA 01803 Tap Into Smartphone Demand:
More informationSenior Thesis. Horse Play. Optimal Wagers and the Kelly Criterion. Author: Courtney Kempton. Supervisor: Professor Jim Morrow
Senior Thei Hore Play Optimal Wager and the Kelly Criterion Author: Courtney Kempton Supervior: Profeor Jim Morrow June 7, 20 Introduction The fundamental problem in gambling i to find betting opportunitie
More information1 Introduction. Reza Shokri* Privacy Games: Optimal UserCentric Data Obfuscation
Proceeding on Privacy Enhancing Technologie 2015; 2015 (2):1 17 Reza Shokri* Privacy Game: Optimal UerCentric Data Obfucation Abtract: Conider uer who hare their data (e.g., location) with an untruted
More informationSolution of the Heat Equation for transient conduction by LaPlace Transform
Solution of the Heat Equation for tranient conduction by LaPlace Tranform Thi notebook ha been written in Mathematica by Mark J. McCready Profeor and Chair of Chemical Engineering Univerity of Notre Dame
More informationThe ImportExport Paradigm for HighQuality College Courses
Public Policy Editor: Stephen Ruth ruth@gmu.edu The ImportExport Paradigm for HighQuality College Coure An Anwer to Tuition Throughthe Roof Cot Spiral? Stephen Ruth George Maon Univerity Three new
More informationPekka Helkiö, 58490K Antti Seppälä, 63212W Ossi Syd, 63513T
Pekka Helkiö, 58490K Antti Seppälä, 63212W Oi Syd, 63513T Table of Content 1. Abtract...1 2. Introduction...2 2.1 Background... 2 2.2 Objective and Reearch Problem... 2 2.3 Methodology... 2 2.4 Scoping
More informationLab 4: Motor Control
2.017 Deign of Electromechanical Robotic Sytem, Fall 2009 Lab 4: Motor Control Aigned: 10/5/09 1 Overview So far we have learnt how to ue the Arduino to acquire variou type of ignal from enor uch a the
More informationProfitability of Loyalty Programs in the Presence of Uncertainty in Customers Valuations
Proceeding of the 0 Indutrial Engineering Reearch Conference T. Doolen and E. Van Aken, ed. Profitability of Loyalty Program in the Preence of Uncertainty in Cutomer Valuation Amir Gandomi and Saeed Zolfaghari
More informationThe Cash Flow Statement: Problems with the Current Rules
A C C O U N T I N G & A U D I T I N G accounting The Cah Flow Statement: Problem with the Current Rule By Neii S. Wei and Jame G.S. Yang In recent year, the tatement of cah flow ha received increaing attention
More informationAN OVERVIEW ON CLUSTERING METHODS
IOSR Journal Engineering AN OVERVIEW ON CLUSTERING METHODS T. Soni Madhulatha Aociate Preor, Alluri Intitute Management Science, Warangal. ABSTRACT Clutering i a common technique for tatitical data analyi,
More informationA) When two objects slide against one another, the magnitude of the frictional force is always equal to μ
Phyic 100 Homewor 5 Chapter 6 Contact Force Introduced ) When two object lide againt one another, the magnitude of the frictional force i alway equal to μ B) When two object are in contact with no relative
More informationSimulation of Sensorless Speed Control of Induction Motor Using APFO Technique
International Journal of Computer and Electrical Engineering, Vol. 4, No. 4, Augut 2012 Simulation of Senorle Speed Control of Induction Motor Uing APFO Technique T. Raghu, J. Sriniva Rao, and S. Chandra
More informationProgress 8 measure in 2016, 2017, and 2018. Guide for maintained secondary schools, academies and free schools
Progre 8 meaure in 2016, 2017, and 2018 Guide for maintained econdary chool, academie and free chool July 2016 Content Table of figure 4 Summary 5 A ummary of Attainment 8 and Progre 8 5 Expiry or review
More informationTRADING rules are widely used in financial market as
Complex Stock Trading Strategy Baed on Particle Swarm Optimization Fei Wang, Philip L.H. Yu and David W. Cheung Abtract Trading rule have been utilized in the tock market to make profit for more than a
More informationTrusted Document Signing based on use of biometric (Face) keys
Truted Document Signing baed on ue of biometric (Face) Ahmed B. Elmadani Department of Computer Science Faculty of Science Sebha Univerity Sebha Libya www.ebhau.edu.ly elmadan@yahoo.com ABSTRACT An online
More informationClusterAware Cache for Network Attached Storage *
CluterAware Cache for Network Attached Storage * Bin Cai, Changheng Xie, and Qiang Cao National Storage Sytem Laboratory, Department of Computer Science, Huazhong Univerity of Science and Technology,
More informationUnusual Option Market Activity and the Terrorist Attacks of September 11, 2001*
Allen M. Potehman Univerity of Illinoi at UrbanaChampaign Unuual Option Market Activity and the Terrorit Attack of September 11, 2001* I. Introduction In the aftermath of the terrorit attack on the World
More informationProgress 8 and Attainment 8 measure in 2016, 2017, and 2018. Guide for maintained secondary schools, academies and free schools
Progre 8 and Attainment 8 meaure in 2016, 2017, and 2018 Guide for maintained econdary chool, academie and free chool September 2016 Content Table of figure 4 Summary 5 A ummary of Attainment 8 and Progre
More informationSoftware Engineering Management: strategic choices in a new decade
Software Engineering : trategic choice in a new decade Barbara Farbey & Anthony Finkeltein Univerity College London, Department of Computer Science, Gower St. London WC1E 6BT, UK {b.farbey a.finkeltein}@ucl.ac.uk
More informationINTERACTIVE TOOL FOR ANALYSIS OF TIMEDELAY SYSTEMS WITH DEADTIME COMPENSATORS
INTERACTIVE TOOL FOR ANALYSIS OF TIMEDELAY SYSTEMS WITH DEADTIME COMPENSATORS Joé Lui Guzmán, Pedro García, Tore Hägglund, Sebatián Dormido, Pedro Alberto, Manuel Berenguel Dep. de Lenguaje y Computación,
More informationQueueing Models for Multiclass Call Centers with RealTime Anticipated Delays
Queueing Model for Multicla Call Center with RealTime Anticipated Delay Oualid Jouini Yve Dallery Zeynep Akşin Ecole Centrale Pari Koç Univerity Laboratoire Génie Indutriel College of Adminitrative Science
More informationProceedings of Power Tech 2007, July 15, Lausanne
Second Order Stochatic Dominance Portfolio Optimization for an Electric Energy Company M.P. Cheong, Student Member, IEEE, G. B. Sheble, Fellow, IEEE, D. Berleant, Senior Member, IEEE and C.C. Teoh, Student
More informationChapter 10 Stocks and Their Valuation ANSWERS TO ENDOFCHAPTER QUESTIONS
Chapter Stoc and Their Valuation ANSWERS TO ENOFCHAPTER QUESTIONS  a. A proxy i a document giving one peron the authority to act for another, typically the power to vote hare of common toc. If earning
More informationA Life Contingency Approach for Physical Assets: Create Volatility to Create Value
A Life Contingency Approach for Phyical Aet: Create Volatility to Create Value homa Emil Wendling 2011 Enterprie Rik Management Sympoium Society of Actuarie March 1416, 2011 Copyright 2011 by the Society
More informationFour Ways Companies Can Use Open Source Social Publishing Tools to Enhance Their Business Operations
Four Way Companie Can Ue Open Source Social Publihing Tool to Enhance Their Buine Operation acquia.com 888.922.7842 1.781.238.8600 25 Corporate Drive, Burlington, MA 01803 Four Way Companie Can Ue Open
More informationIMPORTANT: Read page 2 ASAP. *Please feel free to email (longo.physics@gmail.com) me at any time if you have questions or concerns.
rev. 05/4/16 AP Phyic C: Mechanic Summer Aignment 016017 Mr. Longo Foret Park HS longo.phyic@gmail.com longodb@pwc.edu Welcome to AP Phyic C: Mechanic. The purpoe of thi ummer aignment i to give you a
More informationESCI 340 Physical Meteorology Cloud Physics Lesson 2 Formation of Cloud Droplets
ESCI 40 Phyical Meteorology Cloud Phyic Leon 2 Formation of Cloud Droplet Reference: A Short Coure in Cloud Phyic, Roger and Yau Reading: Roger and Yau, Chapter 6 The objective of thi leon are: 1) Undertand
More informationRotation of an Object About a Fixed Axis
Chapter 1 Rotation of an Object About a Fixed Axi 1.1 The Important Stuff 1.1.1 Rigid Bodie; Rotation So far in our tudy of phyic we have (with few exception) dealt with particle, object whoe patial dimenion
More informationReturn on Investment and Effort Expenditure in the Software Development Environment
International Journal of Applied Information ytem (IJAI) IN : 22490868 Return on Invetment and Effort Expenditure in the oftware Development Environment Dineh Kumar aini Faculty of Computing and IT, ohar
More information