Incidentally any guide lines and marks used by the transferrer are removed by burnishing.
"What Philately Teaches" by John N. Luff
They can 'transferre corne in the blade from one place to another.
"Shakespearean Tragedy" by A. C. Bradley
Their first communication was on Thought Transferrence, by Dr. H. B. Bowditch.
"Buchanan's Journal of Man, January 1888" by Various
Miss Armitage was also surprised that Mrs. Johnson would not agree to an immediate transferrence.
"A Modern Cinderella" by Amanda M. Douglas
It was merely the transferrence of the pomp of the secular court to the papacy.
"History of Human Society" by Frank W. Blackmar
But the guy has to show a non-transferrable ticket for passage to Earth.
"Fee of the Frontier" by Horace Brown Fyfe
If justice were done you, you would receive a severer punishment than mere transferral.
"Vineta" by E. Werner
The transferrer then paints the purchaser.
"The Sun Dance of the Blackfoot Indians" by Clark Wissler
How well the charm of each transferr'd would show, From hand to hand the mutual sceptres go!
"The Complete Works of Richard Crashaw, Volume II (of 2)" by Richard Crashaw
Perhaps the same advice when transferr'd to Morality, would be equally salutary.
"Journal and Letters of Philip Vickers Fithian: A Plantation Tutor of the Old Dominion, 1773-1774." by Philip Vickers Fithian
The stone can then be passed to the prover or transferrer.
"Practical Lithography" by Alfred Seymour
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Dℓ (J, M ) contains all loops (u, u), as a (u, u)-transferral is trivially achieved by the empty multisets. (ii) If ℓ ≤ ℓ′ then Dℓ (J, M ) is a subgraph of Dℓ′ (J, M ). (iii) If (u, v) ∈ Dℓ (J, M ) and (v , w) ∈ Dℓ′ (J, M ) then (v , w) ∈ Dℓ+ℓ′ (J, M ).
A Geometric Theory for Hypergraph Matching
S, S ′ ) is a simple (u, v)-transferral of size at most ℓ and (T , T ′ ) is a simple (v , w)transferral of size at most ℓ′ , then (S + T , S ′ + T ′ ) is a simple (u, w)-transferral of size at most ℓ + ℓ′ .
A Geometric Theory for Hypergraph Matching
Our goal in the remainder of this section is to describe the conditions under which, given a matched k-graph (J, M ) on V and a partition P of V , there is some transferral digraph that is complete on each part of P , i.e. there is some ℓ so that (u, v) ∈ Dℓ (J, M ) for every u, v ∈ U ∈ P .
A Geometric Theory for Hypergraph Matching
Now we show that in combination with irreducibility, a receiving partition P has the property that some transferral digraph is complete on every part of P .
A Geometric Theory for Hypergraph Matching
Let (J, M ) be a matched k-graph, b, c, c′ ∈ N, and vertices u, v ∈ V (J ) be such that (J, M ) contains a b-fold (u, v)-transferral of size c, and (J, M ) contains a simple (v , u)transferral of size c′ .
A Geometric Theory for Hypergraph Matching
Then (J, M ) contains a simple (u, v)-transferral of size (b − 1)c′ + c.
A Geometric Theory for Hypergraph Matching
Then |T | = |T ′ | = (b − 1)c′ + c, and 1 ) + (b − 1)(χ(T2 ) − χ(T ′ χ(T ) − χ(T ′ ) = χ(T1 ) − χ(T ′ 2 )) = χ({u}) − χ({v}), so (T , T ′ ) is the desired transferral.
A Geometric Theory for Hypergraph Matching
Finally, we show the required completeness property of the transferral digraph.
A Geometric Theory for Hypergraph Matching
We have Dℓ (J, M )ℓ ⊆ Dℓ2 (J, M ) by property (iii) of transferral digraphs, so P is also a receiving partition for Dℓ2 (J, M ).
A Geometric Theory for Hypergraph Matching
We need to show that there is a simple (u, v)-transferral of size at most ℓ′ .
A Geometric Theory for Hypergraph Matching
By irreducibility, we also have a b-fold (w, v)transferral of size c for some b ≤ B and c ≤ C .
A Geometric Theory for Hypergraph Matching
Combining this with the simple (u, w)-transferral, we obtain a simple (u, v)-transferral of size at most bℓ2 + c ≤ ℓ′ .
A Geometric Theory for Hypergraph Matching
In this ﬁnal subsection, we show that if in addition to the previous assumptions there is no divisibility barrier, then we can strengthen the previous structure to obtain a transferral digraph that is complete on every part of the original partition.
A Geometric Theory for Hypergraph Matching
The second step of the proof is the following claim, which states that (R, M ) contains small transferrals between any two vertices in any part of PR , even after deleting the vertices of a small number of edges of M .
A Geometric Theory for Hypergraph Matching
Since DC (R′ , M ′ )[U ′ i ] is complete for each i ∈ [r ], there is a simple (i′ (x), i(x))-transferral of size at most C in (R′ , M ′ ).
A Geometric Theory for Hypergraph Matching
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