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For every prime power q, where q≡1(mod4), and p a prime dividing q+12, we construct a self-orthogonal [2q,q−1] code and a self-dual [2q+2,q+1] code over the field of order p. The construction involves Paley graphs and the constructed [2q,q−1] and [2q+2,q+1] codes admit an automorphism group Σ q) of the Paley graph of order q.
In a similar vein, the vertex-to-vertex distance matrix can be constructed from the leaf-to-leaf distance, but the construction involves considering whether certain linear inequalities hold and so it isn't a procedure that will, a priori, transform spectra in a simple way.
The construction involves snapshot spaces and dimension reduction via local spectral problems.
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The construction involved painstakingly pushing individual carbon-monoxide molecules across a copper surface using a scanning tunnelling microscope (essentially a sharp metal tip).
(It is here implied that the conjunction "and" is not a constituent, properly so called, but an element that, like the relative order of the constituents, indicates the nature of the construction involved. Not all linguists have held this view).
The construction involved 1,150,000 man-hours.
The construction involved the moving of of ice and snow.
Each type of solution considered in the following can be applied to any of the paradoxes of self-reference, although in most cases the constructions involved were originally developed with only one type of paradox in mind.
This graph occurs as a subgraph of the M11 graph, and two of the constructions involve 2-subsets of an 11-set while the remaining two involve 3-subsets of an 11-set.
Also, the proposed construction involves the felling of 700 trees, which in addition to destroying views, could aggravate drainage problems in the neighborhood, the suit contends.
In many cases the forcing construction involves "collapsing" the large cardinal associated with Φ and arranging the collapse in such a way that φ holds in the "rubble".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com