H
is to be hold - ma być odbyte (mające się odbyć)
holds - zachodzi
, a contradiction of our hypothesis - co przeczy naszemu założeniu (po przecinku, na końcu zdania)
the following simple inequality holds: ...
herein - tu, w niniejszej pracy
from here on - poczynając od tego miejsca
highly implausible result - wysoce nieprawdopodobny rezultat
The heavy edges are the jobs while the dotted lines are functions jobs
the next highest numbered color -
Since there is ... on the one hand, and the ... on the other, the question naturally arises: ...
heuristic for coloring
highlights - uwydatnia
with heavy edges denoting l-edges
We shall henceforth assume such a layout without further explicit mention.
henceforth - od tego miejsca
However, the problem appears to become considerably harder when k is allowed to increase more rapidly with n.
Here and throughout, where necessary, we shall identify #1 with #2
The details get a little hairier, and the technicalities are quite lengthy. We save them for a longer version of this paper.
in the column headed # – w kolumnie pod nagłówkiem #
