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! Missing number, treated as zero.
<to be read again> 
                   =
l.8 ... \varepsilon _{\vec{k}\sigma}}{(T=0)\above=
                                                  }-\frac{1}{L^{d}}\sum _ { ...
A number should have been here; I inserted `0'.
(If you can't figure out why I needed to see a number,
look up `weird error' in the index to The TeXbook.)

! Illegal unit of measure (pt inserted).
<to be read again> 
                   =
l.8 ... \varepsilon _{\vec{k}\sigma}}{(T=0)\above=
                                                  }-\frac{1}{L^{d}}\sum _ { ...
Dimensions can be in units of em, ex, in, pt, pc,
cm, mm, dd, cc, bp, or sp; but yours is a new one!
I'll assume that you meant to say pt, for printer's points.
To recover gracefully from this error, it's best to
delete the erroneous units; e.g., type `2' to delete
two letters. (See Chapter 27 of The TeXbook.)


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[1

] (C:\Users\ahmad\Desktop\aa.aux) ) 
Here is how much of TeX's memory you used:
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 64141 string characters out of 3189876
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 8389 words of font info for 45 fonts, out of 3000000 for 9000
 14 hyphenation exceptions out of 8191
 34i,4n,61p,841b,205s stack positions out of 5000i,500n,10000p,200000b,50000s

Output written on aa.pdf (1 page).