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Journal articles on the topic 'Minimal pair'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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1

McEvoy, Kevin, and S. Barry Cooper. "On minimal pairs of enumeration degrees." Journal of Symbolic Logic 50, no. 4 (December 1985): 983–1001. http://dx.doi.org/10.2307/2273985.

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For sets of natural numbers A and B, A is enumeration reducible to B if there is some effective algorithm which when given any enumeration of B will produce an enumeration of A. Gutteridge [5] has shown that in the upper semilattice of the enumeration degrees there are no minimal degrees (see Cooper [3]), and in this paper we study those pairs of degrees with gib 0. Case [1] constructed a minimal pair. This minimal pair construction can be relativised to any gib, and following a suggestion of Jockusch we can also fix one of the degrees and still construct the pair. These methods yield an easier proof of Case's exact pair theorem for countable ideals. 0″ is an upper bound for the minimal pair constructed in §1, and in §2 we improve this bound to any Σ2-high Δ2 degree. In contrast to this we show that every low degree c bounds a degree a which is not in any minimal pair bounded by c. The structure of the co-r.e. e-degrees is isomorphic to that of the r.e. Turing degrees, and Gutteridge has constructed co-r.e. degrees which form a minimal pair in the e-degrees. In §3 we show that if a, b is any minimal pair of co-r.e. degrees such that a is low then a, b is a minimal pair in the e-degrees (and so Gutteridge's result follows). As a corollary of this we can embed any countable distributive lattice and the two nondistributive five-element lattices in the e-degrees below 0′. However the lowness assumption is necessary, as we also prove that there is a minimal pair of (high) r.e. degrees which is not a minimal pair in the e-degrees (under the isomorphism). In §4 we present more concise proofs of some unpublished work of Lagemann on bounding incomparable pairs and embedding partial orderings.As usual, {Wi}i ∈ ω is the standard listing of the recursively enumerable sets, Du is the finite set with canonical index u and {‹ m, n ›}m, n ∈ ω is a recursive, one-to-one coding of the pairs of numbers onto the numbers. Capital italic letters will be variables over sets of natural numbers, and lower case boldface letters from the beginning of the alphabet will vary over degrees.

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2

HIRSCHFELDT, DENIS R. "A MINIMAL PAIR IN THE GENERIC DEGREES." Journal of Symbolic Logic 85, no. 1 (November 12, 2019): 531–37. http://dx.doi.org/10.1017/jsl.2019.77.

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AbstractWe show that there is a minimal pair in the nonuniform generic degrees, and hence also in the uniform generic degrees. This fact contrasts with Igusa’s result that there are no minimal pairs for relative generic computability and answers a basic structural question mentioned in several papers in the area.

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3

Birkar, Caucher, and Zhengyu Hu. "Polarized pairs, log minimal models, and Zariski decompositions." Nagoya Mathematical Journal 215 (September 2014): 203–24. http://dx.doi.org/10.1017/s0027763000010953.

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AbstractWe continue our study of the relation between log minimal models and various types of Zariski decompositions. Let (X,B) be a projective log canonical pair. We will show that (X,B) has a log minimal model if eitherKX+Bbirationally has a Nakayama–Zariski decomposition with nef positive part, or ifKX+Bis big and birationally has a Fujita–Zariski or Cutkosky–Kawamata–Moriwaki–Zariski decomposition. Along the way we introduce polarized pairs (X,B+P), where (X,B) is a usual projective pair and wherePis nef, and we study the birational geometry of such pairs.

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4

Birkar, Caucher, and Zhengyu Hu. "Polarized pairs, log minimal models, and Zariski decompositions." Nagoya Mathematical Journal 215 (September 2014): 203–24. http://dx.doi.org/10.1215/00277630-2781096.

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AbstractWe continue our study of the relation between log minimal models and various types of Zariski decompositions. Let (X,B) be a projective log canonical pair. We will show that (X,B) has a log minimal model if either KX + B birationally has a Nakayama–Zariski decomposition with nef positive part, or if KX +B is big and birationally has a Fujita–Zariski or Cutkosky–Kawamata–Moriwaki–Zariski decomposition. Along the way we introduce polarized pairs (X,B +P), where (X,B) is a usual projective pair and where P is nef, and we study the birational geometry of such pairs.

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5

Zhang, Zaiyue. "Extending the cooper minimal pair theorem." Journal of Computer Science and Technology 16, no. 1 (January 2001): 77–85. http://dx.doi.org/10.1007/bf02948855.

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6

Trout, J. D. "Vowel environments in minimal pair sequences." Journal of the Acoustical Society of America 100, no. 4 (October 1996): 2688–89. http://dx.doi.org/10.1121/1.417025.

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7

Trout, J. D. "Fundamental frequency in minimal pair sentences." Journal of the Acoustical Society of America 99, no. 4 (April 1996): 2547–74. http://dx.doi.org/10.1121/1.415153.

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8

Csima, Barbara F., and Antonio Montalbán. "A minimal pair of $K$-degrees." Proceedings of the American Mathematical Society 134, no. 05 (October 4, 2005): 1499–502. http://dx.doi.org/10.1090/s0002-9939-05-08086-x.

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9

Barlow, Jessica A., and Judith A. Gierut. "Minimal Pair Approaches to Phonological Remediation." Seminars in Speech and Language 23, no. 1 (2002): 057–68. http://dx.doi.org/10.1055/s-2002-24969.

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10

Hashizume, Kenta. "Relations between two log minimal models of log canonical pairs." International Journal of Mathematics 31, no. 13 (October 10, 2020): 2050103. http://dx.doi.org/10.1142/s0129167x20501037.

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We study relations between two log minimal models of a fixed lc pair. For any two log minimal models of an lc pair constructed with log MMP, we prove that there are small birational models of the log minimal models which can be connected by a sequence of flops, and the two log minimal models share some properties. We also give examples of two log minimal models of an lc pair which have different properties.

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11

ESCUDERO, PAOLA, ELLEN SIMON, and KAREN E. MULAK. "Learning words in a new language: Orthography doesn't always help." Bilingualism: Language and Cognition 17, no. 2 (September 25, 2013): 384–95. http://dx.doi.org/10.1017/s1366728913000436.

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Previous studies have shown that orthography is activated during speech processing and that it may have positive and negative effects for non-native listeners. The present study examines whether the effect of orthography on non-native word learning depends on the relationship between the grapheme–phoneme correspondences across the native and non-native orthographic systems. Specifically, congruence between grapheme–phoneme correspondences across the listeners’ languages is predicted to aid word recognition, while incongruence is predicted to hinder it. Native Spanish listeners who were Dutch learners or naïve listeners (with no exposure to Dutch) were taught Dutch pseudowords and their visual referents. They were trained with only auditory forms or with auditory and orthographic forms. During testing, non-native listeners were less accurate when the target and distractor pseudowords formed a minimal pair (differing in only one vowel) than when they formed a non-minimal pair, and performed better on perceptually easy than on perceptually difficult minimal pairs. For perceptually difficult minimal pairs, Dutch learners performed better than naïve listeners and Dutch proficiency predicted learners’ word recognition accuracy. Most importantly and as predicted, exposure to orthographic forms during training aided performance on minimal pairs with congruent orthography, while it hindered performance on minimal pairs with incongruent orthography.

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12

Barmpalias, George, Mingzhong Cai, Steffen Lempp, and Theodore A. Slaman. "On the existence of a strong minimal pair." Journal of Mathematical Logic 15, no. 01 (June 2015): 1550003. http://dx.doi.org/10.1142/s0219061315500038.

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We show that there is a strong minimal pair in the computably enumerable (c.e.) Turing degrees, i.e. a pair of nonzero c.e. degrees a and b such that a∩b = 0 and for any nonzero c.e. degree x ≤ a, b ∪ x ≥ a.

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13

Cooper, S. Barry, Angsheng Li, Andrea Sorbi, and Yue Yang. "Bounding and nonbounding minimal pairs in the enumeration degrees." Journal of Symbolic Logic 70, no. 3 (September 2005): 741–66. http://dx.doi.org/10.2178/jsl/1122038912.

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14

Kim, Tae-Hoon, Jae-Ho Lee, and Moon-Soo Chang. "A minimal pair searching tool based on dictionary." Journal of Korean Institute of Intelligent Systems 24, no. 2 (April 25, 2014): 117–22. http://dx.doi.org/10.5391/jkiis.2014.24.2.117.

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15

Smith, Jennifer, Marian Downs, and Kay Mogford-Bevan. "Can Phonological Awareness Training Facilitate Minimal Pair Therapy?" International Journal of Language & Communication Disorders 33, S1 (January 1998): 463–68. http://dx.doi.org/10.3109/13682829809179469.

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16

Rahmadani, Desi, Edy Tri Baskoro, and Hilda Assiyatun. "On Ramsey Minimal Graphs for the Pair Paths." Procedia Computer Science 74 (2015): 15–20. http://dx.doi.org/10.1016/j.procs.2015.12.068.

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17

Epstein, Melissa A., and Maureen Stone. "3D tongue segmentation for a minimal pair sentence." Journal of the Acoustical Society of America 116, no. 4 (October 2004): 2630. http://dx.doi.org/10.1121/1.4808679.

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18

Fennell, Christopher, and Krista Byers-Heinlein. "You sound like Mommy." International Journal of Behavioral Development 38, no. 4 (June 4, 2014): 309–16. http://dx.doi.org/10.1177/0165025414530631.

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Previous research indicates that monolingual infants have difficulty learning minimal pairs (i.e., words differing by one phoneme) produced by a speaker uncharacteristic of their language environment and that bilinguals might share this difficulty. To clearly reveal infants’ underlying phonological representations, we minimized task demands by embedding target words in naming phrases, using a fully crossed, between-subjects experimental design. We tested 17-month-old French-English bilinguals’ ( N = 30) and English monolinguals’ ( N = 31) learning of a minimal pair (/k∊m/ – /g∊m/) produced by an adult bilingual or monolingual. Infants learned the minimal pair only when the speaker matched their language environment. This vulnerability to subtle changes in word pronunciation reveals that neither monolingual nor bilingual 17-month-olds possess fully generalizable phonological representations.

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19

ANDREATTA, MARCO. "MINIMAL MODEL PROGRAM WITH SCALING AND ADJUNCTION THEORY." International Journal of Mathematics 24, no. 02 (February 2013): 1350007. http://dx.doi.org/10.1142/s0129167x13500079.

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Let (X, L) be a quasi-polarized pair, i.e. X is a normal complex projective variety and L is a nef and big line bundle on it. We study, up to birational equivalence, the positivity (nefness) of the adjoint bundles KX + rL for high rational numbers r. For this we run a Minimal Model Program with scaling relative to the divisor KX + rL. We give then some applications, namely the classification up to birational equivalence of quasi-polarized pairs with sectional genus 0, 1 and of embedded projective varieties X ⊂ ℙN with degree smaller than 2 codim ℙN(X) + 2.

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20

Spruck, Joel. "TWO-DIMENSIONAL MINIMAL GRAPHS OVER UNBOUNDED DOMAINS." Journal of the Institute of Mathematics of Jussieu 1, no. 4 (October 2002): 631–40. http://dx.doi.org/10.1017/s1474748002000178.

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In this paper we will study solution pairs $(u,D)$ of the minimal surface equation defined over an unbounded domain $D$ in $R^2$, with $u=0$ on $\partial D$. It is well known that there are severe limitations on the geometry of $D$; for example $D$ cannot be contained in any proper wedge (angle less than $\pi$). Under the assumption of sublinear growth in a suitably strong sense, we show that if $u$ has order of growth $\alpha$ in the sense of complex variables, then the ‘asymptototic angle’ of $D$ must be at least $\pi/\alpha$. In particular, there are at most two such solution pairs defined over disjoint domains. If $\alpha<1$ then $u$ cannot change sign and there is no other disjoint solution pair. This result is sharp as can be seen by a suitable piece of Enneper’s surface which has order $\alpha=\tfrac{2}{3}$ and asymptotic angle $\tfrac{3}{2}\pi$.AMS 2000 Mathematics subject classification: Primary 35J60; 53A10

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21

Moghaddam, Mohammad Reza R., and Foroud Parvaneh. "ON THE ISOCLINISM OF A PAIR OF LIE ALGEBRAS AND FACTOR SETS." Asian-European Journal of Mathematics 02, no. 02 (June 2009): 213–25. http://dx.doi.org/10.1142/s1793557109000182.

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In 1940, P. Hall introduced the concept of isoclinism on the class of all groups. In the present article we study the notion of isoclinism on a pair of Lie algebras, which forms an equivalence relation and show that each equivalence class contains a stem pair of Lie algebras, which has minimal dimension among the finite dimensional pairs of Lie algebras. Finally, some more results are obtained when two isoclinic pairs of Lie algebras are given.

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22

Warstadt, Alex, Alicia Parrish, Haokun Liu, Anhad Mohananey, Wei Peng, Sheng-Fu Wang, and Samuel R. Bowman. "BLiMP: The Benchmark of Linguistic Minimal Pairs for English." Transactions of the Association for Computational Linguistics 8 (July 2020): 377–92. http://dx.doi.org/10.1162/tacl_a_00321.

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We introduce The Benchmark of Linguistic Minimal Pairs (BLiMP), 1 a challenge set for evaluating the linguistic knowledge of language models (LMs) on major grammatical phenomena in English. BLiMP consists of 67 individual datasets, each containing 1,000 minimal pairs—that is, pairs of minimally different sentences that contrast in grammatical acceptability and isolate specific phenomenon in syntax, morphology, or semantics. We generate the data according to linguist-crafted grammar templates, and human aggregate agreement with the labels is 96.4%. We evaluate n-gram, LSTM, and Transformer (GPT-2 and Transformer-XL) LMs by observing whether they assign a higher probability to the acceptable sentence in each minimal pair. We find that state-of-the-art models identify morphological contrasts related to agreement reliably, but they struggle with some subtle semantic and syntactic phenomena, such as negative polarity items and extraction islands.

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23

Hrušák, Michael, David Meza-Alcántara, and Hiroaki Minami. "Pair-splitting, pair-reaping and cardinal invariants of Fσ-ideals." Journal of Symbolic Logic 75, no. 2 (June 2010): 661–77. http://dx.doi.org/10.2178/jsl/1268917498.

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AbstractWe investigate the pair-splitting number which is a variation of splitting number, pair-reaping number which is a variation of reaping number and cardinal invariants of ideals on ω. We also study cardinal invariants of Fσ ideals and their upper bounds and lower bounds. As an application, we answer a question of S. Solecki by showing that the ideal of finitely chromatic graphs is not locally Katětov-minimal among ideals not satisfying Fatou's lemma.

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24

Ardalan, Hananeh, Talieh Zarifian, Akram Ahmadi, and Mona Ebarahimipour. "Developing a Minimal Pairs’ Package for Persian-speaking Children: A Preliminary Study." Iranian Rehabilitation Journal 18, no. 3 (September 1, 2020): 275–80. http://dx.doi.org/10.32598/irj.18.3.611.1.

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Objectives: Different treatment approaches have been introduced for children with Speech Sound Disorders (SSD). Minimal pair intervention, Metaphon therapy, and parents and children together approach as linguistically-based approaches are routinely utilized in this population and both of them shared minimal pairs as a common component. The purpose of the current study was to develop and investigate the validity of the material for this treatment approach for Persian-speaking children. Methods: To develop the minimal pairs’ package, 10 phonological processes were selected based on the literature. Several minimal pairs were generated for each phonological process and their content validity was determined by the content validity ratio. In the next step, the appropriate pictures were selected. In the final step, the package was administrated to 45 monolingual Persian-speaking children. Results: Based on the experts’ opinions, 293 minimal pairs out of 303 pairs, obtained appropriate content validity values (content validity ratio >0.62) and 10 minimal pairs were excluded at this step. Finally, 256 minimal pairs remained after the administration of the package on the subjects. Discussion: Based on the results of the current project, it seems that the Persian photo minimal pairs’ package is a valid material for use in related speech treatment in children with SSD.

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25

Setyadi, Ary. "“Pasangan Minimal” Fonem Alat “Permainan Bahasa”." Nusa: Jurnal Ilmu Bahasa dan Sastra 13, no. 3 (August 28, 2018): 405. http://dx.doi.org/10.14710/nusa.13.3.405-417.

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The phoneme “minimal pair” data can be used as a “language games” tool, because the notion of “language games” is: the efforts made by language speakers in “playing with” language, especially words, for specific purposes/interests. Based on existing references, the problem of the “minimal pair” phoneme as a “language game” tool has never been used as a separate research object, so it is interesting to study. The data is obtained by listening and different/contrasting meaning with the method of recording/recording. The type of data is secondary, because more data is found in several references that discuss Indonesian phonology. Data analysis based on the application of phonology linguistic theory, phonemic subfields. The final results of the study found five kinds of “language gamesing” patterns, namely: 1) patterned: one vowel phoneme vs. one vowel phoneme, 2) patterned: two vowel phonemes vs. two vowel phonemes, 3) patterned: one vowel phoneme vs. one diphthong phoneme, 4) patterned: one consonant phoneme vs. one consonant phoneme, and 5) patterned: two consonant phonemes vs. two consonant phonemes.

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26

Gross, Benedict H., and Gordan Savin. "The Dual Pair PGL3 × G2." Canadian Mathematical Bulletin 40, no. 3 (September 1, 1997): 376–84. http://dx.doi.org/10.4153/cmb-1997-045-0.

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27

Kyriakidou, Katerina, and Padeleimon Karafiloglou. "Natural bond orbitals: Local sets showing minimal intra-pair correlations and minimal unpaired electron populations." Computational and Theoretical Chemistry 1100 (January 2017): 1–12. http://dx.doi.org/10.1016/j.comptc.2016.11.017.

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28

Setyadi, Ary. "“Pasangan Minimal” Fonem Dasar Pembelajaran Materi Fonologi Bahasa Indonesia." Nusa: Jurnal Ilmu Bahasa dan Sastra 13, no. 4 (November 30, 2018): 521. http://dx.doi.org/10.14710/nusa.13.4.521-532.

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Evidence as well as the goal of writing articles related to the statement: that the existence of "minimal pair" phonemes are supposed to be the basis/early learning Indonesian phonology is based on the following reasons: a. functional phoneme "minimal pair", b. certainty of speech and phoneme symbols, c. certainty of type and number of phonemes, d. phoneme as the cause of difference/contrast of meaning (words), and e. other forms of antonym formation (i).Starting from the effort of proof and the goal, finally it can be said: that such a study is an important study, because from several literature sources there is a phoneme "minimal pair" only discussed in a brief and simple manner. That is only limited to capacity as a means of proofing phonemes to phonemic traits. In other words, it turns out that the existing problems have never been discussed in depth and specifically.The method applied is based on three strategic stages, namely: 1. provision of data, 2. classification and analysis of data, and 3. preparation of reports/writing. The data is obtained from written sources, so that the provision of data is secondary. The application of theory is based on the linguistic theory of phonology and the semantic field. The application of the phonology field is related to the effort to put words in the phoneme "minimum pair", while the semantic field is related to the different meanings (words) of the paired words.

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29

Shewale, R. S., and V. S. Kharat. "On modular pairs in posets." Asian-European Journal of Mathematics 07, no. 03 (September 2014): 1450044. http://dx.doi.org/10.1142/s1793557114500442.

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In this paper, we have introduced a new concept of a modular pair in terms of maximal elements of lower cone (L) and minimal elements of upper cone (U) in posets. The relation between our definition and the existing definitions of modular pairs in posets has been studied for different classes of posets. We succeeded in characterizing a modular pair by means of forbidden configuration in general posets. We have obtained several characterizations of modular pairs in atomistic and semi-orthogonal posets. We have also introduced ∇-relation in posets.

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30

Gongyo, Yoshinori, and Brian Lehmann. "Reduction maps and minimal model theory." Compositio Mathematica 149, no. 2 (December 4, 2012): 295–308. http://dx.doi.org/10.1112/s0010437x12000553.

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AbstractWe use reduction maps to study the minimal model program. Our main result is that the existence of a good minimal model for a Kawamata log terminal pair (X,Δ) can be detected on a birational model of the base of the (KX+Δ)-trivial reduction map. We then interpret the main conjectures of the minimal model program as a natural statement about the existence of curves on X.

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31

BAR-YEHUDA, ELITZUR, ASSAF HASSON, and YA’ACOV PETERZIL. "A THEORY OF PAIRS FOR NON-VALUATIONAL STRUCTURES." Journal of Symbolic Logic 84, no. 02 (January 25, 2019): 664–83. http://dx.doi.org/10.1017/jsl.2018.85.

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AbstractGiven a weakly o-minimal structure${\cal M}$and its o-minimal completion$\bar{{\cal M}}$, we first associate to$\bar{{\cal M}}$a canonical language and then prove thatTh$\left( {\cal M} \right)$determines$Th\left( {\bar{{\cal M}}} \right)$. We then investigate the theory of the pair$\left( {\bar{{\cal M}},{\cal M}} \right)$in the spirit of the theory of dense pairs of o-minimal structures, and prove, among other results, that it is near model complete, and every definable open subset of${\bar{M}^n}$is already definable in$\bar{{\cal M}}$.We give an example of a weakly o-minimal structure interpreting$\bar{{\cal M}}$and show that it is not elementarily equivalent to any reduct of an o-minimal trace.

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32

Bassetti, Bene, Mirjana Sokolović-Perović, Paolo Mairano, and Tania Cerni. "Orthography-Induced Length Contrasts in the Second Language Phonological Systems of L2 Speakers of English: Evidence from Minimal Pairs." Language and Speech 61, no. 4 (June 18, 2018): 577–97. http://dx.doi.org/10.1177/0023830918780141.

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Research shows that the orthographic forms (“spellings”) of second language (L2) words affect speech production in L2 speakers. This study investigated whether English orthographic forms lead L2 speakers to produce English homophonic word pairs as phonological minimal pairs. Targets were 33 orthographic minimal pairs, that is to say homophonic words that would be pronounced as phonological minimal pairs if orthography affects pronunciation. Word pairs contained the same target sound spelled with one letter or two, such as the /n/ in finish and Finnish (both /ˈfɪnɪʃ/ in Standard British English). To test for effects of length and type of L2 exposure, we compared Italian instructed learners of English, Italian-English late bilinguals with lengthy naturalistic exposure, and English natives. A reading-aloud task revealed that Italian speakers of EnglishL2 produce two English homophonic words as a minimal pair distinguished by different consonant or vowel length, for instance producing the target /ˈfɪnɪʃ/ with a short [n] or a long [nː] to reflect the number of consonant letters in the spelling of the words finish and Finnish. Similar effects were found on the pronunciation of vowels, for instance in the orthographic pair scene-seen (both /siːn/). Naturalistic exposure did not reduce orthographic effects, as effects were found both in learners and in late bilinguals living in an English-speaking environment. It appears that the orthographic form of L2 words can result in the establishment of a phonological contrast that does not exist in the target language. Results have implications for models of L2 phonological development.

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33

Savin, Gordan, and Wee Teck Gan. "The Dual Pair G2 × PU3 (D) (p-Adic Case)." Canadian Journal of Mathematics 51, no. 1 (February 1, 1999): 130–46. http://dx.doi.org/10.4153/cjm-1999-008-9.

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AbstractWe study the correspondence of representations arising by restricting the minimal representation of the linear group of type E7 and relative rank 4. The main tool is computations of the Jacquet modules of the minimal representation with respect to maximal parabolic subgroups of G2 and PU3(D).

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34

Gerdes, Peter. "An ω-REA set forming a minimal pair with 0 ~ ′." Computability 9, no. 1 (February 26, 2020): 37–50. http://dx.doi.org/10.3233/com-180191.

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35

van Borsel, John, and Heidi Demeulenaere. "The minimal pair technique and the remediation of spelling problems." Clinical Linguistics & Phonetics 12, no. 5 (September 1, 1998): 379–87. http://dx.doi.org/10.3109/02699209808985232.

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36

Borsel, John van, and Heidi Demeulenaere. "The minimal pair technique and the remediation of spelling problems." Clinical Linguistics & Phonetics 12, no. 5 (January 1998): 379–87. http://dx.doi.org/10.1080/02699209808985232.

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37

Blinkiewicz, Dorota, and Bogdan Szydło. "Minimal Perimeter Parallelograms Inscribed in a Pair of Confocal Ellipses." American Mathematical Monthly 127, no. 2 (January 6, 2020): 160–65. http://dx.doi.org/10.1080/00029890.2020.1677105.

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38

Meeks III, William H., and Brian White. "Minimal surfaces bounded by a pair of convex planar curves." Bulletin of the American Mathematical Society 24, no. 1 (January 1, 1991): 179–85. http://dx.doi.org/10.1090/s0273-0979-1991-15983-5.

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39

Li, Dengfeng, and Angsheng Li. "A minimal pair joining to a plus cupping Turing degree." MLQ 49, no. 6 (November 2003): 553–66. http://dx.doi.org/10.1002/malq.200310060.

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40

Balakin, P. D., and I. P. Zgonnik. "Long-stroke mechanisms with minimal side reaction in translational pair." Omsk Scientific Bulletin. Series Aviation-Rocket and Power Engineering 2, no. 1 (2018): 17–21. http://dx.doi.org/10.25206/2588-0373-2018-2-1-17-21.

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Balandraud, Eric, Fabio Tardella, and Maurice Queyranne. "Largest Minimal Inversion-Complete and Pair-Complete Sets of Permutations." Combinatorica 38, no. 1 (February 21, 2017): 29–41. http://dx.doi.org/10.1007/s00493-016-3426-6.

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Dzhafarov, Damir D., and Carl G. Jockusch. "Ramsey's theorem and cone avoidance." Journal of Symbolic Logic 74, no. 2 (June 2009): 557–78. http://dx.doi.org/10.2178/jsl/1243948327.

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AbstractIt was shown by Cholak, Jockusch, and Slaman that every computable 2-coloring of pairs admits an infinite low2 homogeneous set H. We answer a question of the same authors by showing that H may be chosen to satisfy in addition C ≰rH, where C is a given noncomputable set. This is shown by analyzing a new and simplified proof of Seetapun's cone avoidance theorem for Ramsey's theorem. We then extend the result to show that every computable 2-coloring of pairs admits a pair of low2 infinite homogeneous sets whose degrees form a minimal pair.

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Omanadze, Roland. "Nonbounding 𝑛-C.E. 𝑄-Degrees." gmj 16, no. 4 (December 2009): 779–86. http://dx.doi.org/10.1515/gmj.2009.779.

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Abstract We prove that for any noncomputable c.e. set 𝐴 there is a non-computable c.e. set 𝐵 ⊆ 𝐴 such that for every noncomputable c.e. set 𝑊 we have 𝑊 ≰⃥ 𝑄𝐴 – 𝐵 < 𝑄𝐴. We show that if c.e. 𝑄-degrees 𝐚 and 𝐛 form a minimal pair in the c.e. 𝑄-degrees, then 𝐚 and 𝐛 form a minimal pair in the 𝑄-degrees.

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Hackl, Lucas, and Robert H. Jonsson. "Minimal energy cost of entanglement extraction." Quantum 3 (July 15, 2019): 165. http://dx.doi.org/10.22331/q-2019-07-15-165.

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We compute the minimal energy cost for extracting entanglement from the ground state of a bosonic or fermionic quadratic system. Specifically, we find the minimal energy increase in the system resulting from replacing an entangled pair of modes, sharing entanglement entropy ΔS, by a product state, and we show how to construct modes achieving this minimal energy cost. Thus, we obtain a protocol independent lower bound on the extraction of pure state entanglement from quadratic systems. Due to their generality, our results apply to a large range of physical systems, as we discuss with examples.

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Chen, Weihuan, and Yi Fang. "Self θ-congruent minimal surfaces in ℝ3." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 69, no. 2 (October 2000): 229–44. http://dx.doi.org/10.1017/s1446788700002196.

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AbstractA minimal surface is a surface with vanishing mean curvature. In this paper we study self θ -congruent minimal surfaces, that is, surfaces which are congruent to their θ-associates under rigid motions in R3 for 0 ≤ θ < 2π. We give necessary and sufficient conditions in terms of its Weierstrass pair for a surface to be self θ-congruent. We also construct some examples and give an application.

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Oliveira, Ana Railka de Souza, Thelma Leite de Araujo, Emilia Campos de Carvalho, Alice Gabrielle de Sousa Costa, Tahissa Frota Cavalcante, and Marcos Venícios de Oliveira Lopes. "Construction and validation of indicators and respective definitions for the nursing outcome Swallowing Status." Revista Latino-Americana de Enfermagem 23, no. 3 (July 3, 2015): 450–57. http://dx.doi.org/10.1590/0104-1169.0377.2575.

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OBJECTIVE: to develop indicators for the nursing outcome Swallowing Status and the respective conceptual and operational definitions validated by experts and in a clinical setting among patients after having experienced a stroke.METHOD: methodological study with concept analysis and content and clinical validations. The Content Validation Index was verified for the scores assigned by 11 experts to indicators. Two pairs of nurses assessed 81 patients during the clinical validation: one pair used an instrument with definitions and the other used an instrument without definitions. The resulting assessments were compared using Intraclass Correlation Coefficient, Friedman's test, and Minimal Important Difference calculation.RESULTS: All the indicators, with the exception of the indicator Ability to bring food to mouth, presented Content Validation Index above 0.80. The pair using the instrument with definitions presented an Intraclass Correlation Coefficient above 0.80 for all the indicators and similarity was found in all the assessments, according to the Minimal Important Difference calculation. The pair using the instrument without definitions presented a low coefficient (ρ<0.75) for all the indicators.CONCLUSION: the results showed that greater uniformity and accuracy was achieved by the pair of nurses using the conceptual and operational definitions for the indicators of the nursing outcome Swallowing Status.

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Grjibovski, Andrej M., Jennifer R. Harris, and Per Magnus. "Birthweight and Adult Health in a Population-Based Sample of Norwegian Twins." Twin Research and Human Genetics 8, no. 2 (April 1, 2005): 148–55. http://dx.doi.org/10.1375/twin.8.2.148.

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AbstractPopulation-based twin data were used to test (a) whether lower birthweight confers a greater risk of adult health disorders, and (b) whether within-pair birthweight differences in twins explain discordance for health outcomes. The sample consisted of 1201 monozygotic (MZ) male twins, 1048 dizygotic (DZ) male twins, 1679 MZ female twins, 1489 DZ female twins, and 2423 opposite-sex DZ twins, born in Norway between 1967 and 1979. The relationship between birthweight and self-reported health outcomes were studied using multivariable logistic regression. In the full sample (n= 7840), birthweight was negatively associated with risk for nearsightedness (odds ratio OR = 0.76, 95% CI: 0.65 – 0.92) and minimal brain disorder (OR = 0.27, 95% CI: 0.16–0.44) when adjusted for gestational age, sex, zygosity, age, education and body mass index after correction for intraclass correlations and multiple comparisons. Within-pair analysis of 159 MZ and 224 DZ pairs revealed that myopic twins were on average 2 g (p= .966) and 64 g (p= .040) lighter than nonmyopic twins in MZ and DZ pairs respectively, suggesting that genetic factors may play an important role in the associations between birthweight and nearsightedness. Within-pair analysis of twins discordant for a minimal brain disorder indicated that affected twins were 80 g (p= .655) and 85 g (p= .655) lighter than their healthy co-twins in MZ and DZ pairs respectively, although there were only 2 MZ and 2 DZ discordant pairs.

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Achab, Dehbia, and Jacques Faraut. "Analysis of the Brylinski-Kostant Model for Spherical Minimal Representations." Canadian Journal of Mathematics 64, no. 4 (August 1, 2012): 721–54. http://dx.doi.org/10.4153/cjm-2012-011-9.

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Abstract We revisit with another view point the construction by R. Brylinski and B. Kostant of minimal representations of simple Lie groups. We start froma pair (V,Q), where V is a complex vector space and Q a homogeneous polynomial of degree 4 on V. The manifold is an orbit of a covering of Conf(V,Q), the conformal group of the pair (V,Q), in a finite dimensional representation space. By a generalized Kantor-Koecher-Tits construction we obtain a complex simple Lie algebra 𝔤, and furthermore a real form 𝔤ℝ. The connected and simply connected Lie group Gℝ with Lie(Gℝ) = 𝔤ℝ acts unitarily on a Hilbert space of holomorphic functions defined on the manifold .

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Morales, José R., Edixon M. Rojas, and Ravindra K. Bisht. "Generalized contraction mappings of rational type and applications to nonlinear integral equations." Boletim da Sociedade Paranaense de Matemática 38, no. 1 (February 19, 2018): 131–49. http://dx.doi.org/10.5269/bspm.v38i1.32995.

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The aim of the present paper is to introduce a new class of pair of contraction mappings, called ψ − (α, β, m)-contraction pairs, and obtain common fixed point theorems for a pair of mappings in this class, satisfying a minimal commutativity condition. Afterwards, we will use mappings in this class to analyze the existence of solutions for a class of nonlinear integral equations on the space of con- tinuous functions and in some of its subspaces. Concrete examples are also provided in order to illustrate the applicability of the results.

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Amiri, S. M. Jafarian, and Hojjat Rostami. "The Probability That an Ordered Pair of Elements is an Engel Pair." Journal of the Indonesian Mathematical Society 25, no. 2 (July 10, 2019): 121–27. http://dx.doi.org/10.22342/jims.25.2.693.121-127.

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Let G be a nite group. We denote by ep(G) the probability that[x;n y] = 1 for two randomly chosen elements x and y of G and some posi-tive integer n. For x 2 G we denote by EG(x) the subset fy 2 G : [y;n x] =1 for some integer ng. G is called an E-group if EG(x) is a subgroup of G for allx 2 G. Among other results, we prove that if G is an non-abelian E-group withep(G) 16 , then G is not simple and minimal non-solvable.

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