The Role of Clues in Chinese Idiom Riddle Solving

Xin-Cheng, Zhu; Rui-Ju, Li; Zhi-jin, Zhou

doi:10.3724/sp.j.1041.2009.00397

Cited by 13 publications

(13 citation statements)

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“…which is also a new one and not studied in Ref. [27]. The corresponding Lax pair (3.11a) and (3.11b) reduces…”

Section: Bilinear Bäcklund Transformation and Associated Lax Pairmentioning

confidence: 74%

“…The formulas (3.1), (3.11a) and (3.11b) are new bilinear Bäcklund transformation and Lax pair, respectively, which can also reduce to the ones obtained in Refs. [1], [4], [17]- [20], [24]- [27], [29], [50] by choosing the appropriate coefficients h i (i = 1, . .…”

Section: Bilinear Bäcklund Transformation and Associated Lax Pairmentioning

confidence: 99%

“…• Jacobi elliptic function solutions and integrability property for the following variable-coefficient KP equation (u t + h 1 (t)uu x + h 2 (t)u 3x ) x + h 3 (t)u 2y + 6h 4 (t)u x = 0, (1.8) have been presented in Ref. [27].…”

Section: Introductionmentioning

confidence: 99%

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On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation

Tian¹,

Zhang²

2012

J. Phys. A: Math. Theor.

105

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By considering the inhomogeneities of media, a generalized variable-coefficient Kadomtsev-Petviashvili (vc-KP) equation is investigated, which can be used to describe many nonlinear phenomena in fluid dynamics and plasma physics. In this paper, we systematically investigate complete integrability of the generalized vc-KP equation under a integrable constraint condition. With the aid of a generalized Bells polynomials, its bilinear formulism, bilinear Bäcklund transformations, Lax pairs and Darboux covariant Lax pairs are succinctly constructed, which can be reduced to the ones of several integrable equations such as KdV, cylindrical KdV, KP, cylindrical KP, generalized cylindrical KP, non-isospectral KP equations etc. Moreover, the infinite conservation laws of the equation are found by using its Lax equations. All conserved densities and fluxes are expressed in the form of accurate recursive formulas. Furthermore, an extra auxiliary variable is introduced to get the bilinear formulism, based on which, the soliton solutions and Riemann theta function periodic wave solutions are presented. And the influence of inhomogeneity coefficients on solitonic structures and interaction properties are discussed for physical interest and possible applications by some graphic analysis. Finally, a limiting procedure is presented to analyze in detail, asymptotic behavior of the periodic waves, and the relations between the periodic wave solutions and soliton solutions. form, Lax pairs, infinite conservation laws, infinite symmetries, Hamiltonian structure, Painlevé test and bilinear Bäcklund transformation that can characterize integrability of nonlinear equations. Although there have been many methods proposed to deal with the NLEEs, e.g., inverse scattering transformation [1], Darboux transformation [2], Bäcklund transformation(BT) [3], Hirota method [4] and so on. By using the bilinear form for a given NLEE, one can not only construct its multisoliton solutions, but also derive the bilinear BT, and some other properties [4]-[7]. Unfortunately, one of the key steps of this method is to replace the given NLEE by some more tractable bilinear equations for new Hirota's variables. There is no general rule to find the transformations, nor for choice or application of some essential formulas (such as exchange formulas). During the early 1930s, Bell proposed the classical Bell polynomials, which are specified by a generating function and exhibiting some important properties [8]. Since then the Bell polynomials have been exploited in combinatorics, statistics, and other fields [11]-[13]. However, in recent years Lambert and co-workers have proposed an alternative procedure based on the use of the Bell polynomials to obtain parameter families of bilinear Bäcklund transformation and lax pairs for soliton equations in a lucid and systematic way [8]-[10]. The Bell polynomials are found to play an important role in the characterization of integrability of a nonlinear equation.Recently, there has been growing interest in studying the variab...

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“…which is also a new one and not studied in Ref. [27]. The corresponding Lax pair (3.11a) and (3.11b) reduces…”

Section: Bilinear Bäcklund Transformation and Associated Lax Pairmentioning

confidence: 74%

Section: Bilinear Bäcklund Transformation and Associated Lax Pairmentioning

confidence: 99%

See 1 more Smart Citation

On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation

Tian¹,

Zhang²

2012

J. Phys. A: Math. Theor.

105

View full text Add to dashboard Cite

show abstract

“…However, considering differences between the background of Eastern and Western cultures, perhaps the poster design itself was a difficult task for Chinese students since most of them have never previously taken part in a party. Therefore, we decided to transform the measurement of creativity in accordance with our cultural background, which is better reflected in the Chinese Idiom Riddle Test (Zhu et al, 2009). Despite there being insignificant interactions between stereotype priming and the target’s gender, we still found differences in creativity promotion for male and female counter-stereotype exemplars.…”

Section: Discussionmentioning

confidence: 99%

“…For the measurement of creativity, we adopted the Chinese idiom riddle test with a 10-item idiom riddle (Zhu et al, 2009). This test is one of several insight problem-solving tasks developed from traditional Chinese idioms, and its items and options have been examined in previous studies (Zhu et al, 2009; Huang et al, 2013). Each Chinese idiom riddle item was followed by four options: two irrelevant options, one creative option, and one common option.…”

Section: Methodsmentioning

confidence: 99%

The Mediating Role of Cognitive Flexibility in the Influence of Counter-Stereotypes on Creativity

et al. 2019

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The aim of this study is to explore the relationship between counter-stereotypes and creativity, and further explore the mechanism underlying the impact of priming counter-stereotypic information on individual creativity. More importantly, here we have proposed cognitive and emotional dual processing pathways, which may mediate the influences of counter-stereotypes on creativity. Two experiments examined how counter-stereotypes impacted creativity through the dual processing pathways. A total of 152 university students were recruited to test their creativity performance. In Experiment 1, we replicated results of past studies. Participants were randomly allocated to different priming conditions (stereotype or counter-stereotype), in which descriptions of male governors and female nurses served as priming of stereotypes, whereas descriptions of male nurses and female governors served as priming of counter-stereotypes. Measurements of creativity were based on the poster paradigm. The poster paradigm required participants to design a poster for a college fellowship party. In Experiment 2, we recruited 104 participants to examine the mediating roles of emotions and cognitive flexibility. The procedure of Experiment 2 was similar to that of Experiment 1, except for the measurement of creativity, which was Chinese idiom riddle test. Participants who selected more creative answers were more creative, based on the criteria of our experimental design. Also, we included measurements of emotions (i.e., surprise and delight) and cognitive flexibility (using the Cognitive Flexibility Scale) after priming of stereotypes and counter-stereotypes in Experiment 2. We also verified the credibility of our counter-stereotype measurements. The results of Experiment 1—which replicated previous studies—demonstrated that priming of counter-stereotypes promoted creative performance compared with priming of stereotypes in the poster paradigm. However, our proposed dual processing pathways were not fully verified by Experiment 2. The results of this experiment showed that neither surprising nor delighted emotion mediated the influence of counter-stereotypes on creativity, whereas cognitive flexibility did. In conclusion, our current study reveals a mechanism of creative performance in terms of cognitive flexibility, and further inspires us to focus on the positive influence of counter-stereotypes on creativity.

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Dynamic cognitive processes of humor generation: activation and inhibition of information

Sun

Wang

Zhou

et al. 2022

Psychological Research

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The Role of Clues in Chinese Idiom Riddle Solving

Cited by 13 publications

References 0 publications

On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation

On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation

The Mediating Role of Cognitive Flexibility in the Influence of Counter-Stereotypes on Creativity

Dynamic cognitive processes of humor generation: activation and inhibition of information

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