InthelattercasetheeffectofthestimultatedemissiononthemomentumoftheexcitedatomwouldaveragevectoriallytozeroandthiswouldimplythatthedistributionfunctionforblackbodyradiationwouldbeWien'sinsteadofPlanck's.Thuswecanruleouttherandomdirectionoption.

In the latter case the effect of the stimultated emission on the momentum of the excited atom would average vectorially to zero and this would imply that the distribution function for blackbody radiation would be Wien's instead of Planck's. Thus we can rule out the random direction option.
[Q]: [Thedicearerolledandifthetotalis7or11youwin.]
[A]: [The dice are rolled and if the total is 7 or 11 you win.]
Problem: Add spaces: Butasforyou,keepyourplaceherebyme,andIwillgiveyoualltheordersandthelawsandthedecisionswhichyouaretomakecleartothem,sothattheymaydotheminthelandwhichIamgivingthemfortheirheritage.

Spaces added: But as for you, keep your place here by me, and I will give you all the orders and the laws and the decisions which you are to make clear to them, so that they may do them in the land which I am giving them for their heritage.
This text is missing some spaces, please add them: Figure2:TheDanesloyaltytotheirISP(loyaltyindexof0-100,basedontheintersectionofloyaltyissueswith1-7responsescales)
Figure 2: The Danes loyalty to their ISP (loyalty index of 0-100, based on the intersection of loyalty issues with 1-7 response scales)
input question: Fix spacing: Women'sorgirls'trousers,bibandbraceoveralls,breechesandshortsofwoolorfineanimalhair,knittedorcrocheted(excl.pantiesandswimwear)

output answer: Women's or girls' trousers, bib and brace overalls, breeches and shorts of wool or fine animal hair, knitted or crocheted (excl. panties and swimwear)
input question: Fix spacing: KarolineHansen,born1867

output answer:
Karoline Hansen, born 1867