The impact of noncompliance under the Wagner-Peyser Act is clear: the withdrawal of some $11 million a year of administrative funds which finance our employment service program or, as a corollary, the taking over by the Federal Government of its operation.

he further reasoned that frequent formulas in epic verse indicate oral composition, and assumed the slightly less likely corollary that oral epic is inclined towards the use of formulas.

Kant is not generally considered to be a modern anthropologist, however, as he never left his region of Germany nor did he study any cultures besides his own, and in fact, describes the need for anthropology as a corollary field to his own primary field of philosophy.

This bold attempt is entirely factitious and verbal, and it is only his employment of various terms not generally used in such a connection ( axiom, theorem, corollary, etc.

A corollary of Artin's theorem is that alternative algebras are power-associative, that is, the subalgebra generated by a single element is associative.

Finagle's Law of Dynamic Negatives ( also known as Finagle's corollary to Murphy's Law ) is usually rendered:

This is opposed to the idea of freedom as the capacity to " begin anew ," which Arendt sees as a corollary to the innate human condition of natality, or our nature as " new beginnings and hence beginners.

There is a widely recognized corollary that any such ulterior-motive invocation of Godwin's law will be unsuccessful.

The historical definition differs from the length-based standard in that a minute of arc, and hence a nautical mile, is not a constant length at the surface of the Earth but gradually lengthens in the north-south direction with increasing distance from the equator, as a corollary of the Earth's oblateness, hence the need for " mean " in the last sentence of the previous paragraph.

Egoism is a corollary of setting man's life as the moral standard.

A corollary to Rand's endorsement of self-interest is her rejection of the ethical doctrine of altruism — which she defined in the sense of Auguste Comte's altruism ( he coined the term ), as a moral obligation to live for the sake of others.

The corollary is that high-Z materials make good gamma-ray shields, which is the principal reason that lead ( Z

The pope sat briefly on two " pierced chairs " at the Lateran: "... the vulgar tell the insane fable that he is touched to verify that he is indeed a man " a sign that this corollary of the Pope Joan legend was still current in the Roman street.

* As an easy corollary of the Nikolov-Segal result above, any surjective discrete group homomorphism φ: G → H between profinite groups G and H is continuous as long as G is topologically finitely-generated.

* The first corollary is that employees who are dedicated to their current jobs should not be promoted for their efforts ( as in The Dilbert Principle ), and instead should be rewarded with, say, a pay raise, while remaining in their current position.

* The second corollary is that employees might be promoted only after being sufficiently trained to the new position.

As a corollary, every finite p-group is nilpotent.

A corollary to Kleene's recursion theorem states that for every Gödel numbering of the computable functions and every computable function, there is an index such that returns.

By the corollary to the recursion theorem, there is an index such that returns.

A corollary of this was that, at least in words spoken by the jurors, if a court had made an unjust decision, it must have been because it had been misled by a litigant.

After the success of vaccination in preventing smallpox, scientists thought to find a corollary in tuberculosis by drawing a parallel between bovine tuberculosis and cowpox: It was hypothesized that infection with bovine tuberculosis might protect against infection with human tuberculosis.

3 ; Issue 16261 ; col E. (" annihilates the doctrine of spontaneous and progressive evolution of life, and its impious corollary, chance ")

The coupling of this corollary with the initial statement of the law proves every threaded discussion to be finite in length.

In the editorial notes of his compendium Portraits by Sir Joshua Reynolds, Hilles theorizes that " as a corollary one might say that he was somewhat lacking in a capacity for love ", and cites Boswell's notary papers: " He said the reason he would never marry was that every woman whom he liked had grown indifferent to him, and he had been < u > glad </ u > he did not marry her.

The most important open question in complexity theory, the P = NP problem, asks whether polynomial time algorithms actually exist for NP-complete, and by corollary, all NP problems.

In this world view, the Mishnaic and Talmudic rabbis are closer to the Divine revelation ; by corollary, one must be extremely conservative in changing or adapting Jewish law.

Jews may use the term omniscience, or preordination as a corollary of omniscience, but normally reject the idea of predestination as being incompatible with the free will and responsibility of moral agents, and it therefore has no place in their religion.

Similarly, a hypergraph is edge-transitive if all edges are symmetric.

A partition theorem due to E. Dauber states that, for an edge-transitive hypergraph, there exists a partition

As such it is a quasiregular polyhedron, i. e. an Archimedean solid, being vertex-transitive and edge-transitive.

A regular polyhedron compound can be defined as a compound which, like a regular polyhedron, is vertex-transitive, edge-transitive, and face-transitive.

A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive-i. e.

If the degree is 4 or less, or the graph is also edge-transitive, or the graph is a minimal Cayley graph, then the vertex-connectivity will also be equal to d.

In the mathematical field of graph theory, an edge-transitive graph is a graph G such that, given any two edges e < sub > 1 </ sub > and e < sub > 2 </ sub > of G, there is an

In other words, a graph is edge-transitive if its automorphism group acts transitively upon its edges.

The Gray graph is edge-transitive and regular graph | regular, but not vertex-transitive graph | vertex-transitive.

The Gray graph is an example of a graph which is edge-transitive but not vertex-transitive.

An edge-transitive graph that is also regular, but not vertex-transitive, is called semi-symmetric.

The rhombic dodecahedron is one of the nine edge-transitive convex polyhedra, the others being the five Platonic solids, the cuboctahedron, the icosidodecahedron and the rhombic triacontahedron.

* The line graph of an edge-transitive graph is vertex-transitive.

Every connected symmetric graph must thus be both vertex-transitive and edge-transitive, and the converse is true for graphs of odd degree.

Confusingly, some authors use the term " symmetric graph " to mean a graph which is vertex-transitive and edge-transitive, rather than an arc-transitive graph.

The generalized Petersen graph G ( n, k ) is vertex-transitive if and only if n = 10 and k = 2 or if k < sup > 2 </ sup > ≡ ± 1 ( mod n ) and is edge-transitive only in the following seven cases: ( n, k ) = ( 4, 1 ), ( 5, 2 ), ( 8, 3 ), ( 10, 2 ), ( 10, 3 ), ( 12, 5 ), ( 24, 5 ).

In the mathematical field of graph theory, a semi-symmetric graph is an undirected graph that is edge-transitive and regular, but not vertex-transitive.