Looking on the internet deeply has found these results:

end up this section by is the most popular phrase on the web.

end up this section with 1257 results on the web	end up this section by 1277 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Let us end up this section with: Theorem 2 If ∆(D) > 0 one can put D(v) = v0)( v Nov 12, 2015 ... We end up this section with a definition that includes the standing assumptions on the Schottky groups considered in mostly all of our ... field. Bor(E). If P and P are ... v1)(v Let us end up this section with a direct application of Theorem 4.11. Corollary 4.12. Let E be a metric space together with its Borel σ (v Lastly,)we)end)up)this)section)with)the)following)useful)theorem)without) rigorous)proof.) (14))Theorem.))Let' X 'be'irreducible'with'a'standard'semigroup'{ Pt } ...	We end up this section by the following proposition which will be used in the proof of Theorem. 4. It may be of independent interest since it sheds more light on ... We end up this section by deriving some useful algebraic relations satisfied by R+. Lemma 2.2. On any manifold we have. R+ ∧ I = I ∧ R+ + R, or, equivalently, ... We end up this section by remarking that conversely, every Killing vector field on the round sphere (and all the more on its quotients) satisfies (14). This follows ... This is known as the propagation rules of quantum code constructions. We end up this section by presenting two examples to illustrate the previous construction.

end up this section with

1257 results on the web

end up this section by

1277 results on the web

More popular!

Let us end up this section with: Theorem 2 If ∆(D) > 0 one can put D(v) =
v0)( v
Nov 12, 2015 ... We end up this section with a definition that includes the standing assumptions on the Schottky groups considered in mostly all of our ...
field. Bor(E). If P and P are ...
v1)(v
Let us end up this section with a direct application of Theorem 4.11. Corollary 4.12. Let E be a metric space together with its Borel σ
(v
Lastly,)we)end)up)this)section)with)the)following)useful)theorem)without) rigorous)proof.) (14))Theorem.))Let' X 'be'irreducible'with'a'standard'semigroup'{ Pt } ...

We end up this section by the following proposition which will be used in the proof of Theorem. 4. It may be of independent interest since it sheds more light on ...
We end up this section by deriving some useful algebraic relations satisfied by R+. Lemma 2.2. On any manifold we have. R+ ∧ I = I ∧ R+ + R, or, equivalently, ...
We end up this section by remarking that conversely, every Killing vector field on the round sphere (and all the more on its quotients) satisfies (14). This follows ...
This is known as the propagation rules of quantum code constructions. We end up this section by presenting two examples to illustrate the previous construction.