)b=x$ is not solved by some $b\in D(V)$. Actually it is solved, as claimed in the article, by some element $b\in A\otimes_{\mathbb{Z}_p} V$. Indeed,  $\varphi-1$ is surjective on $A$ and hence surjective on $A\otimes_{\mathbb{Z}_p} V$, since there is no $\varphi$-action on the representation $V$ ($\varphi$ acts only on the coefficient). 
To say more for the map $\varphi-1$ on $D(V)$. Consider the following complex:
$$ 0\to D(V) \xrightarrow{\varphi-1} D(V) \to 0 $$
If $D(V):=(A\otimes V)^{G_L}$, where $G_L$ is the absolute Galois group of some precised Galois extension $L/K$. Then the cohomology of this complex computes $H^i(G_L, V)$. 
More precisely, one can easily see that the cohomology of the complex gives an $\delta$-functor: { $F^i$}: $Rep_{\mathbb{Z}_p}(G_K)\to \mathbb{Z}$-module. $F^0(V)$ coincides with $H^0(G_L, V)$  and  { $F^i$} is effaceable. The effaceability can be shown as in Ribeiro's thesis by using the embedding  of $V$ into its induced module $Ind_{G_K}V$. Indeed, one has $H^1(G_L, Ind_{G_K}V)=0$. 
Hence $H^1(G_L, V)$ vanish or not tells whether we have surjectivity for $\varphi-1$, which we know is not true in general.

 Q:

Loading Content dynamically into a regular webpage or jQuery mobile?

I have a question. 
I don't have much experience in programming. I am willing to learn quickly, but I want to make sure I am going in the right direction. 
I am looking to build a jQuery mobile application that updates content automatically. Speaking of, I create the applcation with plain jquery mobile  html5 thenI want to modify some text, or change a picture every now and then? 
What's the best way to do that and what do I need to learn?

) b = x$ is not solved by some $ b\in D(V)$. Actually it is solved, as claimed in the article, by some element $ b\in A\otimes_{\mathbb{Z}_p } V$. Indeed,   $ \varphi-1 $ is surjective on $ A$ and therefore surjective on $ A\otimes_{\mathbb{Z}_p } V$, since there be no $ \varphi$-action on the representation $ V$ ($ \varphi$ acts merely on the coefficient). 
 To allege more for the map $ \varphi-1 $ on $ D(V)$. Consider the surveil complex: 
 $ $ 0\to D(V) \xrightarrow{\varphi-1 } D(V) \to 0 $ $ 
 If $ D(V):=(A\otimes V)^{G_L}$, where $ G_L$ is the absolute Galois group of some precised Galois propagation $ L / K$. Then the cohomology of this complex computes $ H^i(G_L, V)$. 
 More precisely, one can easily experience that the cohomology of the complex gives an $ \delta$-functor: { $ F^i$ }: $ Rep_{\mathbb{Z}_p}(G_K)\to \mathbb{Z}$-module. $ F^0(V)$ concur with $ H^0(G_L, V)$   and   { $ F^i$ } is effaceable. The effaceability can be indicate as in Ribeiro's thesis by using the embedding   of $ V$ into its induced module $ Ind_{G_K}V$. Indeed, one accept $ H^1(G_L, Ind_{G_K}V)=0$. 
 Hence $ H^1(G_L, V)$ vanish or not tells whether we consume surjectivity for $ \varphi-1 $, which we know is not true in general. 

  Q: 

 Loading Content dynamically into a regular web page or jQuery mobile? 

 I have a motion. 
 I don't have much experience in programming. I am willing to determine quickly, but I want to make sure I am going in the right direction. 
 I am looking to build a jQuery mobile application that updates content automatically. Speaking of, I create the applcation with plain jquery mobile   html5 thenI want to change some textbook, or change a picture every now and then? 
 What's the good way to do that and what do I need to determine?
)b=x$ ls not solved by some $b\ik D(V)$. Actually it is solted, as dlaimed kn the article, by some elemeit $b\un A\oupmes_{\mathbb{Z}_p} V$. Indeed,  $\varphi-1$ ps surjecrive in $A$ and hxhce surmzctivs on $C\ovimes_{\mathbb{Z}_p} V$, since these is no $\varphh$-aztnon on the representation $V$ ($\varphi$ asts onlu ln the coefficyent). 
Eo szj nore for the map $\varphi-1$ on $D(V)$. Considtr the following cpmplex:
$$ 0\to D(V) \xrightarrow{\vagphi-1} D(V) \to 0 $$
If $D(V):=(A\otimfs V)^{G_L}$, wherg $G_L$ us the absoljte Galois group of soje precised Galois extension $L/K$. Then the cohomiligy mf this com'lex cjmputes $H^i(G_L, V)$. 
More [reciseky, one can easlly sxe tyat the cohomology of the complex gives an $\delta$-xuuctor: { $F^i$}: $Rep_{\mathbb{Z}_p}(T_K)\ro \majhbb{Z}$-koduuw. $F^0(X)$ ckiicises wihh $I^0(G_L, V)$  and  { $F^i$} is effqceable. The effaceanijpyy can be shkwn as ig Ribeiro's thesis by using the embeddinc  kf $V$ into its induced midule $Ind_{G_K}V$. Indeed, oje has $H^1(G_J, Ind_{G_K}V)=0$. 
Hence $H^1(G_L, V)$ vanish or not tells whether fe hate suxmcctixutj for $\varphi-1$, which we know is not true in genqdak.

 A:

Loading Contekt dynamically intp w tggular webpage or jQbsrg mobile?

I have a qkestion. 
I dob't have mtch rxperience in programming. I am willing no lwarn quickly, but I want to maye sore I sm going in the right dnrectikn. 
I am looning to bhkld a jQuery mobkle a[plication that updates cogtent autimatncally. Soeakong of, I create hhe ai[lcation with plaij jqugry motile  html5 thenI want to modify some text, or change a pocdurv every njw anc then? 
What's ehe best way tp do thct and what do I need tm learn?

)b=x$ is not solved by some $b\in it solved, as in the article, V$. $\varphi-1$ is surjective $A$ and hence on $A\otimes_{\mathbb{Z}_p} V$, since there is $\varphi$-action on the representation $V$ ($\varphi$ acts only on the coefficient). To say for the map $\varphi-1$ on $D(V)$. Consider the following complex: $$ 0\to D(V) D(V) 0 If V)^{G_L}$, where $G_L$ is the absolute Galois group of some precised Galois extension $L/K$. Then the of this complex computes $H^i(G_L, V)$. More precisely, can easily see that cohomology of the complex gives $\delta$-functor: $F^i$}: $Rep_{\mathbb{Z}_p}(G_K)\to $F^0(V)$ with V)$ and { is effaceable. The effaceability can be shown as in Ribeiro's thesis by using the embedding of $V$ its induced Indeed, one $H^1(G_L, Hence V)$ vanish or whether we have surjectivity for $\varphi-1$, is not true in general. Q: Loading Content into a webpage or jQuery mobile? I have question. I don't have much experience in programming. am willing to learn quickly, but I want to make sure I am going in direction. I am looking build a jQuery application updates automatically. of, I the applcation with plain jquery mobile html5 thenI want to modify text, or change a picture every now and then? What's way do that and do I need to
)b=x$ is not solved by some $b\in D(V)$. ACtually it iS solvEd, aS clAiMed iN the Article, by some eLEmenT $b\in A\otimes_{\mathbb{Z}_p} V$. InDeed,  $\vArPHi-1$ is SUrJectiVe on $A$ anD HeNCE suRjEcTivE oN $a\oTimes_{\MatHbb{Z}_p} V$, sInce there iS no $\VaRphi$-action on THe RepresentaTioN $V$ ($\varphi$ acts OnlY on the CoEffICient). 
to sAy morE for thE Map $\varPhi-1$ on $D(V)$. CoNsIDer the FOllowinG COmPlex:
$$ 0\To D(V) \xrightarrow{\vaRPhI-1} d(V) \to 0 $$
If $D(V):=(A\otimeS V)^{G_L}$, whErE $g_L$ IS The AbsOlute GaloiS gRoup oF Some preCIsED gAloIS extension $L/K$. THen the cohomOLogY of thiS cOmpLEx compUtes $H^I(G_l, v)$. 
MoRe precisely, One cAn easily sEe that THe cohomOLogy of tHe compLex GivEs an $\DElTa$-FunCtOR: { $F^i$}: $rEp_{\MatHBb{Z}_P}(G_K)\to \matHbB{Z}$-ModulE. $F^0(V)$ cOINCIdes WitH $H^0(G_L, v)$  and  { $F^I$} is effaceable. the EffaCEabIlity Can be ShowN aS in RiBeiro's ThesiS bY using the embeddIng  oF $V$ into its IndUcEd mOdUle $InD_{g_K}V$. IndEed, One Has $H^1(G_L, INd_{G_K}V)=0$. 
HeNCe $H^1(g_L, v)$ VANiSh or not tells whetheR wE HAvE surjectIvity fOR $\vArPHi-1$, which wE kNow Is noT TRue in GeneRAl.

 q:

Loading contenT DyNaMically InTo a regUlAr wEbpAge or JquerY mobilE?

I have a qUestiON. 
I don't have much EXperience in prOGrAMMiNG. I am WilLing to learn QuicKLy, buT I waNT tO maKE sure i am goInG In THe right direction. 
I am LoOking tO builD a jQuery mobilE applicatiON THat updatEs coNTeNT automatically. speakIng of, I creaTE the applCatioN with plaIn jquery mOBIle  html5 tHeni waNt tO moDIFy Some text, or chaNGE a piCtUre everY noW and theN? 
WhAt's The BesT wAy to do thaT and what Do i nEeD tO leArn?

)b=x$ is not solved by som e $b\in D( V)$.Act ual ly  itis s olved, as clai m ed i n the article, by some  elem en t  $b\ i nA\oti mes_{\m a th b b {Z} _p }V$.  I n de ed, $\v arphi-1 $ is surje cti ve  on $A$ andh en ce surject ive  on $A\otime s_{ \mathb b{ Z}_ p } V$,  si nce t here i s  no $\ varphi$-a ct i on ont he repr e s en tati on $V$ ($\varphi$ ac t s only on thecoeffi ci e nt ) .  
T o s ay more fo rthe m a p $\var p hi - 1 $  on $D(V)$. Consi der the fol l owi ng com pl ex: $$ 0\t o D(V )\ xri ghtarrow{\v arph i-1} D(V)  \to 0 $$
If $ D (V):=(A \otime s V )^{ G_L} $ ,wh ere  $ G _L$ is  th e  ab solute G al oi s gro up o f s o me p rec ised  Galo is extension$L/ K$.T hen  thecohom olog yof th is com plexco mputes $H^i(G_L , V) $. 
Morepre ci sel y,  onec an eas ily  se e thatthe coh o mol og y o fthe complex givesan $ \d elta$-fu nctor: {$F ^ i$}: $Re p_ {\m athb b { Z}_p} (G_K ) \t o \mathb b{Z}$- m od ul e. $F^0 (V )$ coi nc ide s w ith $ H ^0(G _L, V) $  and { $F^ i $} is effaceab l e. The efface a bi l i ty canbeshown as in  Rib e iro' s th e si s b y  usin g the  e m be d ding  of $V$ into i ts  induc ed mo dule $Ind_{G_ K}V$. Inde e d ,  one has  $H^ 1 (G _ L, Ind_{G_K}V) =0$.
Hence $H^ 1 (G_L, V) $ van ish or n ot tellsw h ether we  ha vesur jec t i vi ty for $\varp h i -1$,  w hich we  kn ow is n ottru e i n g en eral.

 Q :

Loadi ng  C on te ntdynam i cally in to  are gul ar we b page o r jQu erymo bi l e?
I have aq u esti on .
I d on' thavemuch exp erience  in progr amm i ng.Iam  willin g to learn qu ic kly, but I  w ant  to ma k e  sure Iam going in the right d i rection . I amlook ing to bu ild  a jQu ery mobile  appli catio ntha t updat e s  c ont en t automati c a lly . Spe ak ingof, I c reate the applcati o n w ith plain jqu ery  mob i l e ht m l5 the nI wan t to modify sometext, or c ha n ge  a picture eve ry  now an d then?  
Wha t 's thebest wayto do tha tandw h atdo I needto learn ?

)b=x$ is_not solved_by some $b\in D(V)$._Actually it_is_solved, as_claimed_in the article,_by some element_$b\in A\otimes_{\mathbb{Z}_p} V$. Indeed,_ $\varphi-1$ is_surjective_on $A$ and hence surjective on $A\otimes_{\mathbb{Z}_p} V$, since there is no $\varphi$-action on_the_representation $V$_($\varphi$_acts_only on the coefficient). 
To_say more for the map_$\varphi-1$ on_$D(V)$. Consider the following complex:
$$ 0\to D(V) \xrightarrow{\varphi-1}_D(V)_\to 0 $$
If_$D(V):=(A\otimes V)^{G_L}$, where $G_L$ is the absolute Galois group_of some precised Galois extension $L/K$._Then the cohomology_of_this_complex computes $H^i(G_L, V)$._
More precisely, one can easily see_that the cohomology of the complex_gives an $\delta$-functor: { $F^i$}: $Rep_{\mathbb{Z}_p}(G_K)\to \mathbb{Z}$-module._$F^0(V)$ coincides with $H^0(G_L, V)$ _and  { $F^i$} is_effaceable. The_effaceability can be shown as_in Ribeiro's thesis_by using_the embedding _of $V$ into its induced module_$Ind_{G_K}V$. Indeed, one_has $H^1(G_L, Ind_{G_K}V)=0$. 
Hence $H^1(G_L, V)$_vanish_or not tells_whether_we_have surjectivity_for $\varphi-1$, which_we_know is_not_true in general.

 Q:

Loading Content dynamically_into_a regular webpage or jQuery mobile?

I have_a question. 
I don't_have_much experience in programming._I am willing to learn_quickly, but I want to make_sure I_am going_in the right direction. 
I am looking to build a jQuery_mobile application that updates content automatically._Speaking of, I create_the applcation_with_plain jquery mobile__html5 thenI_want to modify some text, or change_a picture_every now and then? 
What's the_best way to do_that_and what do I need to_learn?
