lambda(A\cap B^c)$. Thus, for any set $A\in \mathcal{M}$, $$
\begin{align*}
\mu(A\cap B) & = \nu(A\cap B) + \lambda(A\cap B)\\
 & = \nu(A) + 0\\
& = \nu(A).
\end{align*}$$

A:

Hint for (i): take $B$ such that $\lambda(B)=0$ and $\nu(B^c) = 0$.
Hint for (2): if $C = \{x: \frac{d\nu}{d\mu}(x) \ge 1$, what can you say about $\nu(C)$, $\mu(C)$ and $\lambda(C)$?

 Q:

Thank you note after interview

I just had a job interview for a tenure-track position where I interviewed with several people from the department. As far as I know, I'm supposed to send a thank you note after the interview. Should I send one to each person I've interviewed with or would this be perceived as excessive?  

A:

If you feel that you want to thank members of the panel for their time and consideration, go on and send them a brief note. In my experience, it is usually impossible to exclude one or two people from the list without irritating someone, so I would say — write to all of them or none. It is natural to feel that a communication like this is "meaningless", "time-stealing" and "unnecessary" — long story short, it is not.  A senior academic receives a ton of spam and unrelated correspondence, which they delete with a grunt. Make your message short and positive, and they will delete it with a smile.

A:

If you are planning on sending the notes because you think that it will improve your chances of being hired, don't waste your time. If two candidates were equally good in terms of their CVs, and equally collegial during the interviews, which they never are, then maybe, and only maybe, would the thank you not matter. As soon as one candidate is even a hair better than another, then the thank you note is not going to matter.
If you want to send thank you notes because you appreciate the time they took out of their schedule and you enjoyed talking about their research
lambda(A\cap B^c)$. Thus, for any set $ A\in \mathcal{M}$, $ $ 
 \begin{align * } 
 \mu(A\cap B) & = \nu(A\cap B) + \lambda(A\cap B)\\ 
  & = \nu(A) + 0\\ 
 & = \nu(A). 
 \end{align*}$$ 

 A: 

 Hint for (i ): take $ B$ such that $ \lambda(B)=0 $ and $ \nu(B^c) = 0$. 
 Hint for (2 ): if $ C = \{x: \frac{d\nu}{d\mu}(x) \ge 1 $, what can you suppose approximately $ \nu(C)$, $ \mu(C)$ and $ \lambda(C)$? 

  Q: 

 Thank you note after interview 

 I barely have a job interview for a tenure - cut situation where I interviewed with respective citizenry from the department. As far as I sleep together, I'm supposed to send a thank you notice after the interview. Should I send one to each person I've interviewed with or would this be perceived as excessive?  

 A: 

 If you feel that you want to thank members of the jury for their time and consideration, go on and commit them a brief note. In my experience, it is usually impossible to exclude one or two citizenry from the list without irritating someone, so I would say — write to all of them or none. It is lifelike to feel that a communication like this is " meaningless ", " time - stealing " and " unnecessary " — long story short, it is not.   A aged academician receive a ton of spam and unrelated correspondence, which they delete with a grunt. Make your message short and positive, and they will delete it with a smile. 

 A: 

 If you are plan on sending the notes because you intend that it will better your chances of being hired, don't waste your meter. If two candidates were equally good in terms of their curriculum vitae, and equally collegial during the interviews, which they never are, then maybe, and only maybe, would the thank you not matter. As soon as one candidate is even a hair better than another, then the thank you note is not survive to matter. 
 If you desire to mail thank you notes because you appreciate the time they took out of their schedule and you enjoyed talking about their inquiry
lamhda(A\cap B^c)$. Thus, for any ret $A\in \mathcal{M}$, $$
\begin{elign*}
\mu(Z\cap B) & = \nu(A\cap B) + \lambda(A\cap B)\\
 & = \nu(E) + 0\\
& = \nu(A).
\ebd{align*}$$

A:

Hint for (i): takd $B$ such nhat $\lambea(B)=0$ end $\nu(B^c) = 0$.
Hint for (2): if $C = \{x: \frzg{d\nu}{d\kn}(x) \ge 1$, what can you say atout $\nu(C)$, $\mu(C)$ atd $\lcmbda(C)$?

 Q:

Thank you note after interviqw

I jusy jad a job intetview sor z tenure-track position where I intsrviewev with several leople from the department. As var as I know, I'm skpposed to wend q thank you vote after the intervigw. Should I send one to each perron I're intervieqee wljh or would vhis bv perceived as excesshve?  

A:

Ig you feel thab you wabt to thank members oh the panel for theit time and cknsideration, go ob qnd sgnd tvem x brkef npts. In mj eeperience, if is usuallt impossible to exckuqv one or two leople fwom the list without irritating someone, so I would say — write to qll of them or none. Ij is naturwl to feel that a communication like this is "meanhnglear", "tnne-stexoijg" and "unnecessary" — long story short, it is noe.  S xenior academig receives a ton og dpsi and unrelatgd corrzapkndence, which they delete with a grunt. Iake your message short and posutive, and thvy wull delete it with a smile.

A:

If you are llanning on sending the notss because jou think ghat it will impfovv yogr chanctr of being hired, qon't wastx youx time. Iw twp candydates werf equally good in terms lf thgir CVv, and equaply collegial during the intervmxws, which thei naveg are, theu maybc, and only maybq, would the thcnk you uot magter. As sokn as oie candidate is even a haht better than another, theb thw thank hou note is noy going to matter.
If you want to send bhank gou notes becauwe iiu appreciate yhe tiie tiey tjmk out of thair rchdcule xnd you enjihed yalking about their sesezrch
lambda(A\cap B^c)$. Thus, for any set $A\in \begin{align*} B) & \nu(A\cap B) + + & = \nu(A). A: Hint for take $B$ such that $\lambda(B)=0$ and = 0$. Hint for (2): if $C = \{x: \frac{d\nu}{d\mu}(x) \ge 1$, what you say about $\nu(C)$, $\mu(C)$ and $\lambda(C)$? Q: Thank you note after interview just a interview a tenure-track position where I interviewed with several people from the department. As far as I I'm supposed to send a thank you note the interview. Should I one to each person I've with would this perceived excessive? If you feel you want to thank members of the panel for their time and consideration, go on and send a brief my experience, is impossible exclude one or from the list without irritating someone, say — write to all of them or It is to feel that a communication like is "meaningless", "time-stealing" and "unnecessary" — long story it is not. A senior academic receives a ton of spam and unrelated correspondence, which with a grunt. Make message short and and will it a smile. If you are planning on sending the notes because you think it will improve your chances of being hired, don't waste If candidates were equally in terms of their and collegial during the interviews, never then maybe, the you not matter. As as one candidate is even hair better than another, is not going to matter. If you want send thank you notes because you appreciate time they took out of their schedule and you enjoyed talking about research
lambda(A\cap B^c)$. Thus, for any set $a\in \mathcal{m}$, $$
\begiN{alIgn*}
\Mu(a\cap b) & = \nu(A\Cap B) + \lambda(A\cap b)\\
 & = \Nu(A) + 0\\
& = \nU(A).
\end{align*}$$

A:

Hint for (i): takE $B$ sucH tHAt $\laMBdA(B)=0$ and $\Nu(B^c) = 0$.
HinT FoR (2): IF $C = \{x: \FrAc{D\nu}{D\mU}(X) \gE 1$, what Can You say aBout $\nu(C)$, $\mu(C)$ And $\LaMbda(C)$?

 Q:

Thank yOU nOte after inTerView

I just had A joB interViEw fOR a tenUre-Track PositiON where i intervieWeD With seVEral peoPLE fRom tHe department. As far AS I KNow, I'm supposed tO send a ThANk YOU noTe aFter the intErView. SHOuld I seND oNE TO eaCH person I've intErviewed witH Or wOuld thIs Be pERceiveD as exCeSSivE?  

A:

If you feel That You want to Thank mEMbers of THe panel For theIr tIme And cONsIdEraTiON, go ON aNd sENd tHem a brieF nOtE. In my ExpeRIENCe, it Is uSualLy impOssible to exclUde One oR Two PeoplE from The lIsT withOut irrItatiNg Someone, so I would Say — wRite to all Of tHeM or NoNe. It iS NaturaL to FeeL that a cOmmunicATioN lIKE ThIs is "meaningless", "timE-sTEAlIng" and "unNecessARy" — LoNG story shOrT, it Is noT.  a SenioR acaDEmIc receivEs a ton OF sPaM and unrElAted coRrEspOndEnce, wHIch tHey delEte with a Grunt. mAke your message SHort and positiVE, aND ThEY wilL deLete it with a SmilE.

a:

If yOu arE PlAnnINg on sEndinG tHE nOTes because you think tHaT it wilL imprOve your chanceS of being hiRED, Don't wastE youR TiME. If two candidatEs werE equally goOD in terms Of theIr CVs, and Equally coLLEgial durIng The IntErvIEWs, Which they neveR ARe, thEn Maybe, anD onLy maybe, WouLd tHe tHanK yOu not mattEr. As soon As OnE cAnDidAte is EVen a hair BeTteR tHan AnothER, then tHe thaNk yoU nOtE Is nOt going TO mATTer.
IF yOu Want To sEnD thanK you NOteS becausE you appreCiaTE the TiMe They tooK out of their scHeDule and you EnJoyEd talkING about thEir research
lambda(A\cap B^c)$. Thus,for any se t $A\ in\ma th cal{ M}$,  $$
\begin{al i gn*} 
\mu(A\cap B) & = \nu (A\ca pB ) +\ la mbda( A\cap B ) \\  &=\n u(A )+  0 \\
&  =\nu(A). 
\end{ali gn* }$ $

A:

Hintf or  (i): take  $B $ such that$\l ambda( B) =0$ and $ \nu (B^c)  = 0$. Hint f or (2): i f$ C = \{ x : \frac { d \n u}{d \mu}(x) \ge 1$, w h at can you say ab out $\ nu ( C) $ ,  $\ mu( C)$ and $\ la mbda( C )$?

 Q : 
T h a nky ou note after  interviewI j ust ha da j o b inte rview  f o r a  tenure-tra ck p osition w here I intervi e wed wit h seve ral  pe ople fr om  th ed epa r tm ent .  As  far asIkn ow, I 'm s u p p o sedtosend  a th ank you noteaft er t h e i nterv iew.Shou ld  I se nd one  to e ac h person I've i nter viewed wi thor  wo ul d thi s  be pe rce ive d as ex cessive ?   
A : If  you feel that you  w a n tto thank  membe r sof the pane lfor  the i r  time  and co nsiderat ion, g o  o nand sen dthem a  b rie f n ote.I n my  exper ience, i t isu sually impossi b le to exclude on e or twopeo ple from th e li s t wi thou t  i rri t ating  some on e ,s o I would say — wri te  to al l ofthem or none.  It is nat u r a l to fee l th a ta  communication  like  this is " m eaningle ss","time-st ealing" a n d  "unnece ssa ry"  —lon g st ory short, it i s no t.   A sen ior  academ icrec eiv esaton of sp am and u nr el at ed  co rresp o ndence,wh ich  t hey  dele t e with  a gr unt.  M ak e  yo ur mess a ge s hort  a nd  pos iti ve , and  the y  wi ll dele te it wit h a smil e. 
A:

Ifyou are plann in g on sendi ng  th e note s becauseyou think that it willi mproveyou r cha nces  of being  hi red, d on' t  waste  yourtime.  I f t w o  cand i d at eswe re equally g ood  in t er ms o f their  CVs, and equallyc oll egial duringthe  int e r vi ews ,  w h ich  t h eyn e ver are, then m aybe, andon l ymaybe, wou l d t he  thankyou not  matt e r. As s oon as on e candida te  ise v ena hair bet ter than  another, thent he  than k y ou not eisnot g oing t o  ma tter. 
If yo uwant t o sen dthank yo u notes because you app reciat e the  ti me they t ook out  of their  sch edule andyou  en joyed  ta l kingabou t  t hei r  rese arch 
lambda(A\cap B^c)$._Thus, for_any set $A\in \mathcal{M}$,_$$
\begin{align*}
\mu(A\cap B)_&_= \nu(A\cap_B)_+ \lambda(A\cap B)\\
_& = \nu(A)_+ 0\\
& = \nu(A).
\end{align*}$$

A:

Hint_for (i): take_$B$_such that $\lambda(B)=0$ and $\nu(B^c) = 0$.
Hint for (2): if $C = \{x: \frac{d\nu}{d\mu}(x)_\ge_1$, what_can_you_say about $\nu(C)$, $\mu(C)$ and_$\lambda(C)$?

 Q:

Thank you note after_interview

I just_had a job interview for a tenure-track position_where_I interviewed with_several people from the department. As far as I_know, I'm supposed to send a_thank you note_after_the_interview. Should I send_one to each person I've interviewed_with or would this be perceived_as excessive?  

A:

If you feel that_you want to thank members of_the panel for their time_and consideration,_go on and send them_a brief note._In my_experience, it is_usually impossible to exclude one or_two people from_the list without irritating someone, so_I_would say —_write_to_all of_them or none._It_is natural_to_feel that a communication like this_is_"meaningless", "time-stealing" and "unnecessary" — long story_short, it is not.__A senior academic receives_a ton of spam and_unrelated correspondence, which they delete with_a grunt._Make your_message short and positive, and they will delete it with a_smile.

A:

If you are planning on sending_the notes because you_think that_it_will improve your_chances_of being_hired, don't waste your time. If two_candidates were_equally good in terms of their_CVs, and equally collegial_during_the interviews, which they never are,_then maybe, and only maybe, would_the thank you not matter._As_soon_as one candidate is even_a hair better than another, then_the thank you_note is not going to matter.
If you_want_to send thank you notes because_you_appreciate the time they took out_of_their_schedule and you enjoyed talking_about their research