 get the idea that you're using dictionaries as substitutes for model objects. Don't do that. Write your own model classes; everything becomes much easier when you have your own custom properties and behavior methods to work with. (Some things more than others: Implementing AppleScript support is virtually impossible without a proper model layer.)
And once you have real model objects, you can implement NSCopying in them and not need to worry about mutable versus immutable, since you probably won't have a mutability distinction in your real model classes anyway. (I don't know about others, but I've never made such a distinction in my model classes.) Then you can just use the existing NSArray initWithArray:copyItems: method.

 Q:

How do I vertically center an image in a div?

Suppose the image is 100w x 300h.  But I have a div that is always 100x100.  I want to center the image (so that the top and bottom get cut off)
Note: The height will always be variable. It's not always 300.
How can I do that in JQuery?

A:

Why don't you just set the image as a background property of the div?  Straight CSS solution, no js necessary:
.cutoffAndCentered { width: 100px; height: 100px; background: url('image.jpg') no-repeat center center; }

Or you can always do the same via jQuery:
$('.myDiv').css('background','url(image.jpg) no-repeat center center');

 Q:

What are the problems in trying to interpret the Klein-Gordon equation as a single particle equation?

What is the problem if we try to interpret KG equation as a single-particle equation? Also, I wish to know whether the born interpretation of wavefunction is applicable in relativistic quantum mechanics.

A:

There is no part of the physics involved that requires particle number to be conserved. Combine this with $E=mc^2$, which allows for energy to be converted into particle-antiparticle pairs, even when there is not enough energy to create such a pair, virtual particles allow for the temporary appearance of particles in a system that doesn't have sufficient energy for them. As such we cannot treat relativistic quantum equations as being based on particles, instead we treat them as fields with a certain energy, and assume the particle number
get the idea that you're using dictionaries as stand-in for exemplar objects. Don't do that. Write your own mannequin classes; everything becomes a lot easier when you have your own custom property and behavior methods to sour with. (Some things more than others: Implementing AppleScript accompaniment is about impossible without a proper model layer .) 
 And once you get real model object, you can implement NSCopying in them and not need to worry about mutable versus immutable, since you credibly won't have a mutability distinction in your actual model class anyway. (I don't know about others, but I've never made such a distinction in my model class .) Then you can just use the existing NSArray initWithArray: copyItems: method. 

  Q: 

 How do I vertically center an image in a div? 

 Suppose the image is 100w x 300h.   But I have a div that is always 100x100.   I want to center the image (so that the top and bottom get cut off) 
 Note: The acme will always be variable. It's not constantly 300. 
 How can I cause that in JQuery? 

 A: 

 Why don't you just set the picture as a setting property of the div?   Straight cesium solution, no js necessary: 
 .cutoffAndCentered { width: 100px; height: 100px; background: url('image.jpg') no - repeat center center; } 

 Or you can always do the same via jQuery: 
 $ (' .myDiv').css('background','url(image.jpg) no - repeat center center'); 

  Q: 

 What are the problems in trying to translate the Klein - Gordon equation as a individual particle equation? 

 What is the problem if we try to interpret KG equality as a single - particle equation? Also, I wish to know whether the born interpretation of wavefunction is applicable in relativistic quantum mechanics. 

 A: 

 There is no share of the physics involve that requires particle act to be conserved. unite this with $ E = mc^2 $, which allow for energy to be convert into particle - antiparticle pairs, even when there be not enough department of energy to create such a pair, virtual particles permit for the temporary appearance of particles in a system that doesn't have sufficient energy for them. As such we cannot process relativistic quantum equations as being based on atom, instead we treat them as fields with a certain energy, and assume the atom number
 geh the idea that you're uslng dictionaries as subvtitutss for mudel objects. Don't do that. Wrmte tour iwn model classes; everhthing bebomes mucy eawuer when you have njur kan cbsvom properties snd behavimr methods to fofk with. (Some things more than others: Ymplememtlng AppleScripj supkore is nivtually impossible without a proler modtl layer.)
And once ypu have real model objects, you can implement NSClpying in tyem wbd not need go worry about mutable versus immutable, since you procably won't have a muhdbility disvinctijn in your rcsl modal clasxes anyway. (I dpn't kniw about others, but I'te never made such a distincthou in my model classes.) Tyen ymu cdn jjwt jse tie sxistijg ISArray inifWithArray:cipyItems: method.

 Q:

Hoe qi I verticallg centqr an image in a div?

Suppose the image is 100f x 300h.  But I have a div thqt is always 100x100.  I wanj to centew the image (so that the top and bottom get cut ofx)
Note: Ghe hcighg wlll always be variable. It's not always 300.
How can J co that in JQuern?

A:

Why don't you jusy dey the image as a backgrkund property of tje div?  Straught CSS foluyion, no js necessary:
.cutoffAbdCentered { cidrh: 100px; height: 100px; baekground: url('nmage.jkg') no-rrpeat center center; }

Or vou cah always do the same xia jQuery:
$('.myDiv').crs('bscnground','url(image.jpg) no-repeae center rentex');

 Q:

What xre jhe proflems in tgying to interpret the Kpein-Glrgon equatiln as a single particle equatioi?

Xhat is the ptobnem if we txy to lnterpret KG eqtation as a siugle-partncle eduation? Alao, I wivh to know rhether the bmtn interpretavion of wwvefynctuon is xoplicable in rrlativistpc quabtum mechanics.

A:

Theve is ho part of the 'kywics involved tnat rezuprex [drticle numbar tu bd consdrved. Combike ghis with $E=mc^2$, which allofs fkr energy to be comvcrted inti particje-antiparticlr pairs, even when uhere ms not enoubh gnergy to create such a pair, vidtual parhicjes allow fow thc teiporary ap'earance of particles in a system that diesn't have sufficiwnt energy for them. Ss such we rannot treat renativistic quantum ewuations as being based on particles, ihstead we tgeat them as fields with a certain energy, and assume the particle number
get the idea that you're using dictionaries for objects. Don't that. Write your much when you have own custom properties behavior methods to work with. (Some more than others: Implementing AppleScript support is virtually impossible without a proper model And once you have real model objects, you can implement NSCopying in them not to about versus immutable, since you probably won't have a mutability distinction in your real model classes anyway. don't know about others, but I've never made a distinction in my classes.) Then you can just the NSArray initWithArray:copyItems: Q: do vertically center an in a div? Suppose the image is 100w x 300h. But I have a div that is 100x100. I center the (so the and bottom get Note: The height will always be always 300. How can I do that in A: Why you just set the image as background property of the div? Straight CSS solution, js necessary: .cutoffAndCentered { width: 100px; height: 100px; background: url('image.jpg') no-repeat center center; } Or always do the same jQuery: $('.myDiv').css('background','url(image.jpg) no-repeat center'); What the in trying interpret the Klein-Gordon equation as a single particle equation? What is problem if we try to interpret KG equation as a Also, wish to know the born interpretation of is in relativistic quantum mechanics. is part involved requires number to be conserved. this with $E=mc^2$, which allows energy to be converted there is not enough energy to create such pair, virtual particles allow for the temporary of particles in a system that doesn't have sufficient energy for them. such we relativistic quantum equations as being based on particles, we treat them as with a certain energy, and assume the particle number
 get the idea that you're using dIctionarieS as suBstItuTeS for ModeL objects. Don't do THat. WRite your own model classeS; everYtHIng bECoMes muCh easieR WhEN You HaVe YouR oWN cUstom ProPerties And behavioR meThOds to work witH. (soMe things moRe tHan others: ImpLemEnting apPlesCript SupPort iS virtuALly impOssible wiThOUt a proPEr model LAYeR.)
And Once you have real moDEl OBjects, you can imPlemenT NscoPYIng In tHem and not nEeD to woRRy about MUtABLE veRSus immutable, sInce you probABly Won't haVe A muTAbilitY distInCTioN in your real ModeL classes aNyway. (I DOn't know ABout othErs, but i've NevEr maDE sUcH a dIsTIncTIoN in MY moDel classEs.) thEn you Can jUST USe thE exIstiNg NSARray initWithARraY:copYiteMs: metHod.

 Q:

HOw do i vErticAlly ceNter aN iMage in a div?

SuppoSe thE image is 100w X 300h.  BUt i haVe A div tHAt is alWayS 100x100.  I Want to cEnter thE ImaGe (SO THaT the top and bottom geT cUT OfF)
Note: The Height WIlL aLWays be vaRiAblE. It's NOT alwaYs 300.
HoW CaN I do that In JQueRY?

A:

whY don't yoU jUst set ThE imAge As a baCKgroUnd proPerty of tHe div?  sTraight CSS soluTIon, no js necessARy:
.CUToFFAndcenTered { width: 100pX; heiGHt: 100px; BackGRoUnd: URl('imaGe.jpg') No-REpEAt center center; }

Or you CaN alwayS do thE same via jQuerY:
$('.myDiv').css('bACKGround','urL(imaGE.jPG) no-repeat centeR centEr');

 Q:

What are THe probleMs in tRying to iNterpret tHE klein-GorDon EquAtiOn aS A SiNgle particle eQUAtioN?

WHat is thE prOblem if We tRy tO inTerPrEt KG equatIon as a siNgLe-PaRtIclE equaTIon? Also, I WiSh tO kNow WhethER the boRn intErprEtAtIOn oF wavefuNCtION is aPpLiCablE in ReLativIstiC QuaNtum mecHanics.

A:

ThEre IS no pArT oF the phySics involved tHaT requires pArTicLe numbER To be consErved. Combine this with $E=mc^2$, WHich allOws For enErgy To be conveRteD into pArtICle-antIpartiCle paIrS, evEN When tHERe Is nOt Enough enerGY To cReate SuCh a pAir, virtUal particles allow fOR thE temporary appEarAnce OF PaRtiCLeS In a SySTem THAt doesn't have sufFicient eneRgY FoR them. As sucH We cAnNot treaT relatiVistiC Quantum Equations As being baSeD on pARTicLes, instead We treat tHem as fielDS with A CeRtain EneRgy, and AsSumE the pArticlE NumBer
 get the idea that you'reusing dict ionar ies  as  s ubst itut es for model o b ject s. Don't do that. Writ e you ro wn m o de l cla sses; e v er y t hin gbe com es mu ch ea sie r whenyou have y our  o wn custom pr o pe rties andbeh avior method s t o work  w ith .  (Som e t hings  moret han ot hers: Imp le m enting AppleSc r i pt  sup port is virtually im p ossible withou t a pr op e rm o del  la yer.)
Andon ce yo u  have r e al m o del objects, youcan impleme n t N SCopyi ng  in them a nd no tn eed  to worry a bout  mutableversus immutab l e, sinc e youpro bab ly w o n' thav ea  mu t ab ili t y d istincti on  i n you r re a l m odel  cl asse s any way. (I don't  kn ow a b out  othe rs, b ut I 'v e nev er mad e suc ha distinction i n my  model cl ass es .)Th en yo u  can j ust  us e the e xisting NSA rr a y in itWithArray:copyIt em s :  m ethod.
 Q:

H o wdo I vertic al lycent e r  an i mage in  a div?
Suppo s eth e image  i s 100w  x  30 0h.   But I ha ve a d iv thatis al w ays 100x100. I  want to cent e rt h ei mage  (s o that thetopa nd b otto m  g etc ut of f)
No te :  T h e height will alway sbe var iable . It's not al ways 300.H o w  can I d o th a ti n JQuery?

A:
Whydon't youj ust setthe i mage asa backgro u n d proper tyofthe  di v ?  Straight CSSs o luti on , no js  ne cessary :
. cut off And Ce ntered {width: 1 00 px ;he igh t: 10 0 px; back gr oun d:  ur l('im a ge.jpg ') no -rep ea tc ent er cent e r; } 

Or  y ou  can  al wa ys do  the sam e via j Query:
$( '.m y Div' ). cs s('back ground','url( im age.jpg) n o- rep eat ce n t er cente r');

 Q:

What are the problem s i n try ingto interp ret  the K lei n -Gordo n equa tionas  as i nglep a rt icl eequation?W hat  is t he  pro blem if  we try to interpr e t K G equation as  asing l e -p art i cl e  eq ua t ion ? Also, I wish to  know whet he r  t he born in t erp re tationof wave funct i on is a pplicable  in relat iv isti c qua ntum mecha nics.

A :

Therei s nop ar t ofthe  physi cs  in volve d that req uires  parti cl e numb er to  b e conser ved. Combine this with$E=mc^ 2$, w hic h allowsfor ene rgy to be  con verted int o p art icle- ant i parti clep ai rs, evenwhen there isn ot  en o u gh  energy toc r e ate  such  ap air, v irtu al particles allo w  for the tempo rary a ppe ara n ce o fparticles in a  sy st e m  that do es n't have su fficient  e n ergyfor th em. As  such w e ca n not tr eatrel ativistic  qu an t um equa ti on s  as be ingba sed on  parti c les, i nstead we treatthema s  fiel d s w ith a  c ertaine nerg y, and ass ume the par ticlenumb er
 get_the idea_that you're using dictionaries_as substitutes_for_model objects._Don't_do that. Write_your own model_classes; everything becomes much_easier when you_have_your own custom properties and behavior methods to work with. (Some things more than_others:_Implementing AppleScript_support_is_virtually impossible without a proper_model layer.)
And once you have_real model_objects, you can implement NSCopying in them and_not_need to worry_about mutable versus immutable, since you probably won't have_a mutability distinction in your real_model classes anyway._(I_don't_know about others, but_I've never made such a distinction_in my model classes.) Then you_can just use the existing NSArray initWithArray:copyItems:_method.

 Q:

How do I vertically center_an image in a div?

Suppose_the image_is 100w x 300h. _But I have_a div_that is always_100x100.  I want to center_the image (so_that the top and bottom get_cut_off)
Note: The height_will_always_be variable._It's not always_300.
How_can I_do_that in JQuery?

A:

Why don't you just_set_the image as a background property of_the div?  Straight_CSS_solution, no js necessary:
.cutoffAndCentered_{ width: 100px; height: 100px;_background: url('image.jpg') no-repeat center center; }

Or_you can_always do_the same via jQuery:
$('.myDiv').css('background','url(image.jpg) no-repeat center center');

 Q:

What are the problems_in trying to interpret the Klein-Gordon_equation as a single_particle equation?

What_is_the problem if_we_try to_interpret KG equation as a single-particle equation?_Also, I_wish to know whether the born_interpretation of wavefunction is_applicable_in relativistic quantum mechanics.

A:

There is no_part of the physics involved that_requires particle number to be_conserved._Combine_this with $E=mc^2$, which allows_for energy to be converted into_particle-antiparticle pairs, even_when there is not enough energy to_create_such a pair, virtual particles allow_for_the temporary appearance of particles in_a_system_that doesn't have sufficient energy_for them. As such we cannot_treat relativistic quantum equations as being based on particles,_instead we treat_them as fields with a_certain_energy,_and assume the particle number