2,440 research outputs found
The Smith Normal Form Distribution of A Random Integer Matrix
No full textWe show that the density μ of the Smith normal form (SNF) of a random integer matrix exists and equals a product of densities μ p of SNF over ℤ/p s Z with p a prime and s some positive integer. Our approach is to connect the SNF of a matrix with the greatest common divisors (gcds) of certain polynomials of matrix entries and develop the theory of multi-gcd distribution of polynomial values at a random integer vector. We also derive a formula for μps and compute the density μ for several interesting types of sets. As an application, we determine the probability that the cokernel of a random integer square matrix has at most ℓ generators for a positive integer ℓ, and establish its asymptotics as ℓ → ∞, which extends a result of Ekedahl (1991) on the case ℓ = 1
sj-docx-2-sph-10.1177_19417381231152490 – Supplemental material for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis
No full textSupplemental material, sj-docx-2-sph-10.1177_19417381231152490 for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis by Xiao’ao Xue, Yiran Wang, Xiaoyun Xu, Hong Li, Qianru Li, Yuyan Na, Weichu Tao, Le Yu, Zhengbiao Jin, Hongyun Li, Ru Wang and Yinghui Hua in Sports Health: A Multidisciplinary Approach</p
sj-docx-3-sph-10.1177_19417381231152490 – Supplemental material for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis
No full textSupplemental material, sj-docx-3-sph-10.1177_19417381231152490 for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis by Xiao’ao Xue, Yiran Wang, Xiaoyun Xu, Hong Li, Qianru Li, Yuyan Na, Weichu Tao, Le Yu, Zhengbiao Jin, Hongyun Li, Ru Wang and Yinghui Hua in Sports Health: A Multidisciplinary Approach</p
sj-docx-1-sph-10.1177_19417381231152490 – Supplemental material for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis
No full textSupplemental material, sj-docx-1-sph-10.1177_19417381231152490 for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis by Xiao’ao Xue, Yiran Wang, Xiaoyun Xu, Hong Li, Qianru Li, Yuyan Na, Weichu Tao, Le Yu, Zhengbiao Jin, Hongyun Li, Ru Wang and Yinghui Hua in Sports Health: A Multidisciplinary Approach</p
sj-docx-4-sph-10.1177_19417381231152490 – Supplemental material for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis
No full textSupplemental material, sj-docx-4-sph-10.1177_19417381231152490 for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis by Xiao’ao Xue, Yiran Wang, Xiaoyun Xu, Hong Li, Qianru Li, Yuyan Na, Weichu Tao, Le Yu, Zhengbiao Jin, Hongyun Li, Ru Wang and Yinghui Hua in Sports Health: A Multidisciplinary Approach</p
sj-docx-5-sph-10.1177_19417381231152490 – Supplemental material for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis
No full textSupplemental material, sj-docx-5-sph-10.1177_19417381231152490 for Postural Control Deficits During Static Single-leg Stance in Chronic Ankle Instability: A Systematic Review and Meta-Analysis by Xiao’ao Xue, Yiran Wang, Xiaoyun Xu, Hong Li, Qianru Li, Yuyan Na, Weichu Tao, Le Yu, Zhengbiao Jin, Hongyun Li, Ru Wang and Yinghui Hua in Sports Health: A Multidisciplinary Approach</p
Optimal stability for trapezoidal-backward difference split-steps
No full textThe marginal stability of the trapezoidal method makes it dangerous to use for highly non-linear oscillations. Damping is provided by backward differences. The split-step combination (αΔt trapezoidal, (1 – α)Δt for BDF2) retains second-order accuracy. The ‘magic choice’ a = 2 – √2 allows the same Jacobian for both steps, when Newton's method solves these implicit difference equations. That choice is known to give the smallest error constant, and we prove that a = 2 – √2 also gives the largest region of linearized stability
Neoanathamna pallens Kawabe 1980
No full textNeoanathamna pallens Kawabe, 1980 Neoanathamna pallens Kawabe, 1980: 22. TL: Japan (Shikoku, Kagawa Prefecture, Shionoe, Hitotsu-uchu). TD: Holotype (male), USNM. Material examined. 1 ♁, Taiwan: Raisya, Nov. 23, 1934, S. Issiki; 1 ♁, Taiwan: Taihoku, June 16, 1946, S. Issiki; 1 ♁, Taiwan: Taihoku, June 18, 1946, S. Issiki. [USNM]. 1 ♁, 2 ♀, Hualien Co. Fuyan, 400 m, 7-III-1990, J. Heppner & H. Wang (Gen. Sl. Bae UFL-064 ♁); 2 ♁, 2 ♀, Taipei Co. Wulai, 200 m, 17-19-VI-1985, J. Heppner & H. Wang (TORT11872 ♁, FL071; TORT11873 ♀, FL072); 1 ♁, Taichung Co. Chingshan, 1100 m, 31-VIII/ 4-IX-1988, J. Heppner & H. Wang; 1 ♀, Kaohsiung Co. Shanpin For. Sta., [nr.] Liukuei, 750 m, 16-23-III-1990, J. Heppner & H. Wang; 1 ♀, Ilan Co. Fushan For. Sta., 650 m, 4-11-IV-1990, J. Heppner; 1 ♀, Ilan Co. 5 Km N. Nanao, 100 m, 11- 13-X-1984, J. Heppner & H. Wang [FSCA]. Distribution. China (Hunan, Taiwan), Japan. Remarks. This species is recorded for the first time in Taiwan.Published as part of Sun, Yinghui & Li, Houhun, 2023, Checklist of the tribe Enarmoniini Diakonoff, 1953 (Lepidoptera: Tortricidae) of Taiwan, with description of one new species, pp. 369-377 in Zootaxa 5278 (2) on pages 372-373, DOI: 10.11646/zootaxa.5278.2.9, http://zenodo.org/record/790634
Semnostola mystica Diakonoff 1959
No full textSemnostola mystica Diakonoff, 1959 Semnostola mystica Diakonoff, 1959: 175. TL: India, Burma [Myanmar]. TD: Holotype (male), NHRS. Material examined. 1 ♁, Hualien Hsien, Losao, 1110 m, 2-IV-1984, A. Kawabe (Sun-137 ♁, USNM122510, A. Kawabe); 1 ♁, NanTow Co., Mei-feng, 30 km S Tayuling, 2200 m, 1-8-VI-1980, D. R. Davis. [USNM]. 1 ♁, Hsinchu /Miaoli Kuangwu, 2000 m, 24-25-VI-1985, J. Heppner & H. Wang; 5 ♁, Hsinchu Co. Kuangwu For. Sta., 2000 m, 18-25-VIII-1988, J. Heppner & H. Wang (Gen. Sl. Bae UFL-014 ♁); 1 ♁, Taichung Co. Chingshan, 1100 m, 27-III/ 1-IV-1990, J. Heppner & H. Wang; 3 ♁, Taichung Co. Chingshan, 1100 m, 8-11-V-1989, J. Heppner & H. Wang (TORT12045 ♁, FL226) [FSCA]. Distribution. China (Taiwan), India.Published as part of Sun, Yinghui & Li, Houhun, 2023, Checklist of the tribe Enarmoniini Diakonoff, 1953 (Lepidoptera: Tortricidae) of Taiwan, with description of one new species, pp. 369-377 in Zootaxa 5278 (2) on page 373, DOI: 10.11646/zootaxa.5278.2.9, http://zenodo.org/record/790634
Kennelia albifacies
No full textKennelia albifacies (Walsingham, 1900) Lipsotelus albifacies Walsingham, 1900: 570. TL: India. TD: Holotype (unknown), OUM. Argyroploce corthyntis Meyrick, 1909: 596. TL: Sri Lanka. Ceylon [Sri Lanka] (Patipola). TD: Lectotype (male), BMNH. Kennelia albifacies (Walsingham): Kawabe, 1992: 108. Material examined. 7 ♁, 2 ♀, NanTow Co. Mei-feng, 30 km S Tayuling, 2200 m, 1-8-VI-1980, D. R. Davis (Sun-164 ♁, USNM144436, YH Sun; Sun- 165 ♀, USNM144437, YH Sun); 1 ♁, NanTow Co. Tayuling, 2500 m, 9-18-VI-1980, D. R. Davis; 1 ♁, 4 ♀, Chiai Hsien, Fenchihu, 1400 m, 11-12-VIII-1985, A. Kawabe; 1 ♁, 3 ♀, Nantou Hsien, Lushan spa, 1200 m, 3-5-VIII-1985, A. Kawabe; 1 ♁, Wulai, Taipei Hsien, Formosa, 1-VIII-1974, H. Nakajima; 1 ♀, Wulai, Taipei Hsien, Formosa, 6-VIII-1974, H. Nakajima; 1 ♁, (Near Lushan) Nantou Hsien, 1200 m, 28-VII-1977, T. Shiraki; 2 ♁, Taiwan, S. Issiki; 2 ♁, Higasinoko, 3-VI-1943, S. Issiki; 1 ♁, Musya, 6-VI-1943, S. Issiki; 1 ♁, Raisya, 22-X-1934, S. Issiki. [USNM]. 1 ♁, 2 ♀, Taipei Co. Wulai, 200 m, 17-19-VI-1985, J. Heppner & H. Wang; 3 ♁, 1 ♀, Taichung Co. Chingshan, 1100 m, 31-VIII / 4-IX-1988, J. Heppner & H. Wang (Gen. Sl. Bae UFL-116 ♁); 2 ♁, Taoyuan Co. Upper Palin, 1500 m, 7-9-VII-1985, J. Heppner & H. Wang; 2 ♁, 1 ♀, Hsinchu /Miaoli Kuangwu, 2000 m, 24-25-VI-1985, J. Heppner & H. Wang; 1 ♁, Nantou Co. Tungpu, 1150 m, 1-VII-1985, J. Heppner & H. Wang [FSCA]. Distribution. China (Taiwan), India, Sri Lanka.Published as part of Sun, Yinghui & Li, Houhun, 2023, Checklist of the tribe Enarmoniini Diakonoff, 1953 (Lepidoptera: Tortricidae) of Taiwan, with description of one new species, pp. 369-377 in Zootaxa 5278 (2) on pages 371-372, DOI: 10.11646/zootaxa.5278.2.9, http://zenodo.org/record/790634
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