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Successive induction


  • Webster's Revised Unabridged Dictionary
    • Successive induction (Math) See Induction, 5.
    • ***


In literature:

A petition from the congregation and from the Town Council was successful, and Mr. Topp was inducted into the charge.
"The Canadian Portrait Gallery - Volume 3 (of 4)" by John Charles Dent
In the induction of hypnosis the essentials are quiet surroundings and confidence of success on the part of both operator and subject.
"Spiritualism and the New Psychology" by Millais Culpin
A petition from the congregation and from the Town Council was successful, and Mr. Topp was inducted into the charge.
"The Canadian Portrait Gallery Volume 3" by John Charles Dent
In 1747 the successful missionary was inducted into office as rector of the First Episcopal church (King's Chapel) Boston.
"The Loyalists of Massachusetts" by James H. Stark
We saw in our examination of enumerative induction that a form of reaction gains strength through a series of successful applications.
"Studies in Logical Theory" by John Dewey
The inductive method might have attained to greater successes had not a formidable rival appeared in the Hertzian waves.
"The Romance of Modern Invention" by Archibald Williams

In news:

ALD Vacuum Technologies GmbH (Hanau, Germany) successfully completed pre-acceptance of a 250-kg batch size VIGA35 vacuum induction-melting inert gas atomizer for a specialty materials manufacturer in China.
If you look at the list of people inducted into the Rock & Roll Hall of Fame, virtually all of the those inducted have a long list of musical success.

In science:

The identity between cords of T ′ and Q′ of successively greater orders can thus be checked inductively.
Random Planar Lattices and Integrated SuperBrownian Excursion
Every higher dimensional noncommutative torus can be written as a successive crossed product by Z, and the proof of Corollary 6.6 of uses an inductive argument which works whenever the intermediate crossed products are all simple.
Crossed products by finite cyclic group actions with the tracial Rokhlin property
The proof of Corollary 6.6 of is an induction argument: if, when the noncommutative torus is written as a successive crossed product by actions of Z, all the intermediate crossed products are simple, then the main results of reduce the problem to the Elliott-Evans Theorem.
Crossed products by finite cyclic group actions with the tracial Rokhlin property
Figure 4.19: Example of the 3D reconstruction of a multiprong deep-inelastic νµ CC event. (Top) The raw data from Collection and Induction views. (Bottom) The three dimensional tra jectories of the eight primary particles are successfully recovered.
Study of accelerator neutrino interactions in a liquid argon TPC
Finally, in, under the following three postulates, macroscopic realism per se, noninvasive measurability and induction, Leggett claims to have proved some CHSH inequalities, for the successive outcomes of a system with random dichotomic responses against four types of measurements.
The fail of determinism and the limits of Bohm hidden variable theory
However, its success on some nontrivial benchmarks indicates that the fundamental idea of inductive generalization from states is worth exploring .
k-Step Relative Inductive Generalization
The attribute oriented induction method has been implemented in data mining system prototype called DBMINER [Han et al. 1996,1997] which previously called DBLearn [Han et al. 1994, 1995a] and been tested successfully against large relational database and datawarehouse for multidimensional purposes.
Classification rule with simple select SQL statement
One of the high lights of the success of the Elliott program is the classification of unital simple AH-algebras (inductive limits of homogeneous C ∗ -algebras) with no dimension growth by their K -theoretical data (known as the Elliott invariant) ().
On Local AH algebras
It follows from the induction hypothesis that the partition with s − 1 successive lower-Durfee squares has exactly s − 1 successive Durfee squares.
Generalized higher order spt-functions
Inductive logic programming: Derivations, successes and shortMuggleton, S. ( ).
Generalization of Clauses under Implication
Thus by choosing successive moves bounded by a sequence which sums to less than ε, lemma is proved by induction.
The compression theorem II: directed embeddings
Proof We reason by induction on the length of a proof in GAl and show that the logical rules and (success) are sound in Q.
Sequent and Hypersequent Calculi for Abelian and Lukasiewicz Logics
F contains a tangle of the form successively by three tangles according to (1) or (2), then the last two of the resulting fronts have lower s than F and are covered by the induction assumption, while the first has the same s as F .
A skein approach to Bennequin type inequalities
The unipotent characters in the Φd -block of G containing χλ are all the characters that can be obtained by successive d -inductions from χν .
Cohomology of Deligne-Lusztig varieties for groups of type A
The lack of data on anomalies poses a serious challenge to anomaly detection. A number of methods exist, one of the most successful being NASA’s Inductive Monitoring System (IMS).
A Near-Term Quantum Computing Approach for Hard Computational Problems in Space Exploration