
Review of Short Phrases and Links 
This Review contains major "Induction" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 Induction is a form of reasoning that makes generalizations based on individual instances.
 Induction is a deep synthesis of epistemology, evolution and computation.
 Induction is a method for proving an infinite sequence of statements.
 Induction is a method of proof that is very useful in mathematics.
 Induction is a quick, noncontact, highly controllable method of heating metals and other materials.
 Those authors concluded that induction depends on perceptual similarity rather than conceptual knowledge.
 Automated induction, machine learning, and scientific data management.
 After induction, they help to promote cell survival via two temporally separate pathways.
 When looks are everything: appearance similarity versus kind information in early induction.
 These findings, in conjunction with previous research on induction (e.g.
 Match Strength: 4.769 Cytokineinduced beta cell pathophysiology is characterised by the induction of iNOS expression.
 Match Strength: 5.731 Fibroblasts carrying an inducible ras oncogene acquire the transformed phenotype after oncogene induction.
 Match Strength: 5.418 Patients with resectable stage IIIAN2 nonsmall cell lung cancer should receive induction chemotherapy before surgery.
 In fact, mathematical induction is a form of deductive reasoning and is fully rigorous.
 Another variant of mathematical induction  the method of infinite descent  was one of Pierre de Fermat 's favorites.
 Mathematical induction should not be misconstrued as a form of inductive reasoning, which is considered non rigorous in mathematics.
 See proof of mathematical induction.
 So using mathematical induction, we get that Q( n) holds for all natural numbers n.
 So using mathematical induction, we get that Q( n) holds for all natural numbers n.
 Gelman, S.A. (1988). The development of induction within natural kind and artifact categories.
 The principle of mathematical induction is usually stated as an axiom of the natural numbers; see Peano axioms.
 But Q( n) implies P( n), so we have the conclusion of strong induction, namely that P( n) holds for all natural numbers n.
 It is sometimes desirable to prove a statement involving two natural numbers, n and m, by iterating the induction process.
 Muslea, I.; Minton, S.; and Knoblock, C. 1998. Wrapper induction for semistructured, webbased information sources.
 Muslea, I., Minton, S, and Knoblock, C, (1998) Wrapper induction for semistructured, webbased information sources', in Proc.
 Shopbot is one solution to the general problem of wrapper induction [33,47,26], learning extraction patterns for highly regular sources.
 Wrapper induction for information extraction.
 A decisiontreebased symbolic rule induction system for text categorization.
 This paper presents a new approach to inductive learning that combines aspects of instancebased learning and rule induction in a single simple algorithm.
 This paper proposes a genetic programming (GP) framework for two major data mining tasks, namely classification and generalized rule induction.
 Markman, E.M. (1989). Categorization and naming in children: Problems of induction.
 After the initial categorization task, children were presented with an induction task.
 The model also predicts young children's similarity judgment, induction, and categorization performance under different stimuli and task conditions.
 Sloutsky, V. M., & Fisher, A. V. (2004).  Induction and categorization in young children: A similaritybased model.
 When development and learning decrease memory: Evidence against categorybased induction in children.
 Mathematical induction is a very powerful tool for creating proofs.
 A proof by induction is then a proof that these two conditions hold, thus implying the required conclusion.
 So our proof proceeds by induction.
 Proof by induction plays a central role in showing that recursive programs satisfy their specification.
 In 1936, Gerhard Gentzen gave a proof of the consistency of Peano's axioms, using transfinite induction up to an ordinal called ε 0.
 Induction and categorization in young children: A similaritybased model.
 First, the results question the claim that young childrens induction with natural kinds is driven by the common category.
 When development and learning decrease memory: Evidence against categorybased induction in children.
 Sloutsky & Fisher, 2004) seem to support a distinction between labelbased and categorybased induction.
 If categorybased induction is a default, then young children should ignore appearances and rely on category membership.
 Heit, E. (1997). Features of similarity and categorybased induction.
 Murphy, G.L., & Ross, B.H. (2005). The two faces of typicality in categorybased induction.
 Lineartime rule induction.
 This paper examines the induction of classification rules from examples using realworld data.
 The initial version of DiscoTEX integrates an IE module acquired by an IE learning system, and a standard rule induction module.
 We present the RIAC (Rule Induction through Approximate Classification) method for inducing rules from examples, based on the theory of rough sets.
 In practice, proofs by induction are often structured differently, depending on the exact nature of the property to be proved.
 In the next section a simple example is given where a formula is arrived at through intuition and then proved using mathematical induction.
 When this general fact is proved by mathematical induction, the n = 0 case is trivial, (since the empty product is 1, and the empty sum is 0).
 Induction step: Assume as induction hypothesis that within any set of n horses, there is only one color.
 Another proof by complete induction uses the hypothesis that the statement holds for all smaller n more thoroughly.
 The induction hypothesis now applies to n 1 and n 2, so each one is a product of primes.
 Complete induction is most useful when several instances of the inductive hypothesis are required for each inductive step.
 These results support the idea that early in development, induction is similarity based.
 Our results indicate that induction of this set of genes is an early consequence of the interference caused by the absence of the KY protein.
 We offer a range of laser welding, resistance welding, induction heating equipment & more.
 We have an 8page tech note "Precision Induction Heating" with more information on high frequency induction heating.
 Induction heating is clean, quick, controllable & highly selective.
 We will prove this by structural induction on lists.
 Suppose P( n) is the statement that we intend to prove by complete induction.
 Suppose that we wish to prove a statement about an n ary operation implicitly defined from a binary operation, using mathematical induction on n.
 Induction welding is a form of welding that uses electromagnetic induction to heat the workpiece.
 The induction coil and remote heat station (at left) are connected to our solid state 3 kW power supply.
 In sum, work in constructive induction is certainly relevant to the present theory of feature creation.
 When this general fact is proved by mathematical induction, the n = 0 case is trivial, (since the empty product is 1, and the empty sum is 0).
 Rehder, B., & Hastie, R. (2004). Category coherence and categorybased property induction.
 Rehder, B. (2006). When causality and similarity compete in categorybased property induction.
 Also known as complete induction; method of infinite descent; proof by descent.
 Another variant of mathematical induction  the method of infinite descent  was one of Pierre de Fermat 's favorites.
 IL2RA induction facilitates early withdrawal of steroids, and supports the safe use of reducedexposure CNI or delayed CNI introduction.
 The information was collectively considered and, using the best available evidence, translated into safe dosing guidelines for methadone induction.
 Lookahead and pathology in decision tree induction.
 Utgoff, P. (1994). An improved algorithm for incremental induction of decision trees.
 However, the method still requires the discretization of the often continuousvalued toxicity endpoints prior to the tree induction.
 Induction of decision trees using genetic programming for modelling ecotoxicity data: adaptive discretization of realvalued endpoints.
 In complete induction it is not necessary to list the basis case as a separate assumption.
 This generalization, complete induction, can be derived from the ordinary mathematical induction described above.
 Another proof by complete induction uses the hypothesis that the statement holds for all smaller n more thoroughly.
Induction
 Treatment of AML consists primarily of chemotherapy, and is divided into two phases: induction and postremission (or consolidation) therapy.
 PENTASA is indicated for the induction of remission and for the treatment of patients with mildly to moderately active ulcerative colitis.
 Treatment is divided into two phases: induction (to attain remission) and postremission (to maintain remission).
 Gelman, S. A. (1988). The development of induction within natural kind and artifact categories.
 When looks are everything: appearance similarity versus kind information in early induction.
 This paper compares the performance of logistic regression to decisiontree induction in classifying patients as having acute cardiac ischemia.
 Match Strength: 5.418 Patients with resectable stage IIIAN2 nonsmall cell lung cancer should receive induction chemotherapy before surgery.
 Induction of antinuclear antibody after interferon therapy in patients with typeC chronic hepatitis: its relation to the efficacy of therapy.
 Patients were stratified according to the method of induction of remission (medical or surgical).
 Clofarabine and cytarabine combination as induction therapy for acute myeloid leukemia (AML) in patients 50 years of age or older.
 Structure and strength in causal induction.
 Knowledgebased causal induction Waldmann, M. R. (1996). Knowledgebased causal induction.
 Conceptual clustering and categorization: Bridging the gap between induction and causal models.
 The chapter highlights differences between causalmodel theory and associative accounts of causal induction.
 In constructive induction, new features are created by applying inductive operators to the existing set of features.
 Thus, features that are generated by standard constructive induction techniques may be improperly constrained in opposing ways.
 Junior Johnson stands beside his induction spire during the NASCAR Hall of Fame induction ceremony in Charlotte, N.C., Sunday, May 23, 2010.
 He also appeared at the Rock and Roll Hall of Fame induction ceremony with Jeff Beck.
 A doubleblind trial on prophylactic voriconazole (VRC) or placebo during induction chemotherapy for acute myelogenous leukaemia (AML). J Infect.
 A doubleblind controlled study of granulocyte colonystimulating factor started two days before induction chemotherapy in refractory acute myeloid leukemia.
 Chemotherapy treatments given after induction chemotherapy to further reduce the number of cancer cells.
 Richard Petty is presented his Hall of Fame ring by son, Kyle, during induction ceremonies at the NASCAR Hall of Fame Sunday.
 The induction ceremony is scheduled to be May 23, 2010, the Sunday after the Sprint AllStar Race and about two weeks after the hall opens in Charlotte.
 The induction ceremony was an extension of a gala the previous evening called the National Museum of Dance Tribute to Michael Jackson.
 Proofs by induction and the more general notions of mathematical proof are ubiquitous in theory of computation, compiler design and formal grammars.
 By induction, the intersection of any finite collection of open sets is open.
 Proofs in mathematics, induction, sets, cardinality; real number system, theory of convergence of sequences.
 The motivation for the induction schema is that it is not possible to quantify over all sets of natural numbers using firstorder logic.
 In contrast, fatalities from ethanol are mainly found in extreme doses and related to induction of unconsciousness or chronic addiction (alcoholism).
 Cytarabine plus idarubicin or daunorubicin as induction and consolidation therapy for previously untreated adult patients with acute myeloid leukemia.
 Chemotherapy is the major form of remission induction therapy, though it can also be used for consolidation therapy.
 Then in 1967, Ali, citing his religous beliefs, refused induction into the U.S. Army.
 The slide show: "Induction and patterning of mesoderm in Xenopus" is the property of its rightful owner.
 The role of alemtuzumab, as a single agent or in combination with other therapy, was being tested for either induction or consolidation therapy.
 Induction of free amino acids as osmolytes in response to abiotic stress is thought to play a role in plant stress tolerance.
 Viebahn C (1999) The anterior margin of the mammalian gastrula: comparative and phylogenetic aspects of its role in axis formation and head induction.
 The neural plate is a thick and flat bundle of ectoderm formed after induction by the notochord.
 Floor plate and motor neuron induction by vhh1, a vertebrate homolog of hedgehog expressed by the notochord.
 The notochord and neural tube are also implicated in the induction of muscle derivatives that fail to develop when both tissues are removed (Rong et al.
 A comparison of induction and maintenance therapy for acute nonlymphocytic leukemia in childhood: results of a Pediatric Oncology Group study.
 The mathematical theory of backward induction does not make this assumption, so the paradox does not call into question the results of this theory.
 On forced induction motors this higher lift could yield better results than longer duration, particularly on the intake side.
 Efficacy was assessed by clinical, sigmoidoscopic, and histologic improvement, as well as by induction of remission.
 SPIRIT evaluated the efficacy of infliximab induction therapy in 249 patients with plaque psoriasis that had previously received PUVA or systemic therapy.
 PMID 17287476. ^ Efficacy of metformin for ovulation induction in polycystic ovary syndrome.
 An intercooler is such a natural solution for forced induction, that in almost every OEM application, intercooling is part of the package.
 In the modification, the intercooler 24 also works to decrease the intake air temperature that may be heated by the forced induction system 60.
 Methotrexate alone or in combination with steroids was used initially for induction of remission in acute lymphoblastic leukemias.
 Results of TBARS analysis and iron chelator experiments showed induction of free radicals in ACP and chrysotile exposed cultures.
 In this respect the fiber is no worse than chrysotile, where mesothelioma induction by pure fiber is at most a weak association.
 One possibility was that induction of floorplate in Shh Tg mice could lead to proliferation by factors other than Shh.
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