Department of Mathematics

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2018

Families of Subsets Without a Given Poset in Double Chains and Boolean Lattices

Guo, J. Y., Chang, F. H., Chen, H. B. & Li, W. T., 2018 Jul 1, In : Order. 35, 2, p. 349-362 14 p.

Research output: Contribution to journalArticle

Fixed points of the evacuation of maximal chains on fuss shapes

Eu, S. P., Fu, T. S., Hsu, H. C. & Huang, Y. P., 2018 Feb 16, In : Electronic Journal of Combinatorics. 25, 1

Research output: Contribution to journalArticle

Open Access

Green function, Painlevé VI equation, and Eisenstein series of weight one

Chen, Z., Kuo, T. J., Lin, C. S. & Wang, C. L., 2018 Feb, In : Journal of Differential Geometry. 108, 2, p. 185-241 57 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Mathematics teacher educator-researchers’ perspectives on the use of theory in facilitating teacher growth

Lin, F. L., Yang, K. L., Hsu, H. Y. & Chen, J. C., 2018 Jun 1, In : Educational Studies in Mathematics. 98, 2, p. 197-214 18 p.

Research output: Contribution to journalArticle

Neural networks for solving second-order cone programs based on complementarity functions

Chen, J. S., 2018 Jan 1, In : Journal of Nonlinear and Convex Analysis. 19, 10, p. 1621-1641 21 p.

Research output: Contribution to journalArticle

Numerical comparisons based on four smoothing functions for absolute value equation

Saheya, B., Yu, C. H. & Chen, J. S., 2018 Feb 1, In : Journal of Applied Mathematics and Computing. 56, 1-2, p. 131-149 19 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

On reducible monodromy representations of some generalized Lamé equation

Chen, Z., Kuo, T. J., Lin, C. S. & Takemura, K., 2018 Apr 1, In : Mathematische Zeitschrift. 288, 3-4, p. 679-688 10 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On the Heights of elements in the Nottingham Group

Li, H. C., 2018 Nov 2, In : Communications in Algebra. 46, 11, p. 4777-4786 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On the self-duality and homogeneity of ellipsoidal cones

Lu, Y. & Chen, J. S., 2018 Jan 1, In : Journal of Nonlinear and Convex Analysis. 19, 8, p. 1355-1367 13 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On the transmission eigenvalue problem for the acoustic equation with a negative index of refraction and a practical numerical reconstruction method

Li, T., Huang, T. M., Lin, W. W. & Wang, J. N., 2018 Aug, In : Inverse Problems and Imaging. 12, 4, p. 1033-1054 22 p.

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)

Real-root property of the spectral polynomial of the Treibich–Verdier potential and related problems

Chen, Z., Kuo, T. J., Lin, C. S. & Takemura, K., 2018 Apr 15, In : Journal of Differential Equations. 264, 8, p. 5408-5431 24 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Regioselective synthesis and biological evaluation of: N -substituted 2-aminoquinazolin-4-ones

Liao, Z. Y., Yeh, W. H., Liao, P. Y., Liu, Y. T., Chen, Y. C., Chen, Y. H., Hsieh, T. H., Lin, C. C., Lu, M. H., Chen, Y. S., Hsu, M. C., Li, T. K. & Chien, T. C., 2018 Jan 1, In : Organic and Biomolecular Chemistry. 16, 24, p. 4482-4494 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Signed countings of types B and D permutations and t,q-Euler numbers

Eu, S. P., Fu, T. S., Hsu, H. C. & Liao, H. C., 2018 Jun, In : Advances in Applied Mathematics. 97, p. 1-26 26 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Smith method for projected Lyapunov and Stein equations

Yu, B., Fan, H. Y. & Chu, E. K. W., 2018 Jan 1, In : UPB Scientific Bulletin, Series A: Applied Mathematics and Physics. 80, 2, p. 191-204 14 p.

Research output: Contribution to journalArticle

Some inequalities for means defined on the lorentz cone

Chang, Y. L., Huang, C. H., Chen, J. S. & Hu, C. C., 2018 Oct 1, In : Mathematical Inequalities and Applications. 21, 4, p. 1015-1028 14 p.

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)

Some statistics on Stirling permutations and Stirling derangements

Duh, G. H., Roger Lin, Y. C., Ma, S. M. & Yeh, Y. N., 2018 Sep 1, In : Discrete Mathematics. 341, 9, p. 2478-2484 7 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Two-by-two upper triangular matrices and Morrey’s conjecture

Harris, T. L. J., Kirchheim, B. & Lin, C. C., 2018 Jun 1, In : Calculus of Variations and Partial Differential Equations. 57, 3, 73.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Two smooth support vector machines for ε -insensitive regression

Gu, W., Chen, W. P., Ko, C. H., Lee, Y. J. & Chen, J. S., 2018 May 1, In : Computational Optimization and Applications. 70, 1, p. 171-199 29 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

國小高年級學生在立方積木三視圖的推理表現

陳韻如(Yun-Zu C, 楊凱琳(Kai-Lin Y & 林福來(Fou-Lai L, 2018, In : 臺灣數學教育期刊. 5, 1, p. 1-34 34 p.

Research output: Contribution to journalArticle

素養導向之數學教材設計與發展

左台益(Tai-Yih T & 李健恆, 2018, In : Journal of Research in Education Sciences. 63, 4, p. 29-58 30 p.

Research output: Contribution to journalArticle

臺灣、新加坡及巴西數學教科書中數學素養內涵之比較──以畢氏定理為例

左台益(Tai-Yih T, 李健恆, 潘亞衛(Weverton A P & 呂鳳琳(Feng-Lin L, 2018, In : 教科書研究. 11, 3, p. 33-62 30 p.

Research output: Contribution to journalArticle

2017

An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues

Li, T., Huang, T. M., Lin, W. W. & Wang, J. N., 2017 Feb 7, In : Inverse Problems. 33, 3, 035009.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A Note on the Paper “The Algebraic Structure of the Arbitrary-Order Cone”

Miao, X. H., Lin, Y. C. R. & Chen, J. S., 2017 Jun 1, In : Journal of Optimization Theory and Applications. 173, 3, p. 1066-1070 5 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

A smoothing Newton method for absolute value equation associated with second-order cone

Miao, X. H., Yang, J. T., Saheya, B. & Chen, J. S., 2017 Oct, In : Applied Numerical Mathematics. 120, p. 82-96 15 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Development and Validation of an Instrument to Measure Indonesian Pre-service Teachers’ Conceptions of Statistics

Idris, K. & Yang, K. L., 2017 Oct 1, In : Asia-Pacific Education Researcher. 26, 5, p. 281-290 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Differentiability v.s. convexity for complementarity functions

Huang, C. H., Chen, J. S. & Martinez-Legaz, J. E., 2017 Jan 1, In : Optimization Letters. 11, 1, p. 209-216 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Effects of teaching reading strategies on senior high school student’s mathematics performance

Su, H. C., Yang, K-L. & Chen, C. Y., 2017 Mar 1, In : Journal of Research in Education Sciences. 62, 1, p. 33-58 26 p.

Research output: Contribution to journalArticle

Enumerations of vertices among all rooted ordered trees with levels and degrees

Eu, S-P., Seo, S. & Shin, H., 2017 Sep 1, In : Discrete Mathematics. 340, 9, p. 2123-2129 7 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Existence and non-existence of solutions of the mean field equations on flat tori

Chen, Z., Kuo, T-J. & Lin, C. S., 2017 Jan 1, In : Proceedings of the American Mathematical Society. 145, 9, p. 3989-3996 8 p.

Research output: Contribution to journalArticle

Greatest common divisors of iterates of polynomials

Hsia, L. C. & Tucker, T. J., 2017 Jan 1, In : Algebra and Number Theory. 11, 6, p. 1437-1459 23 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Longtime behavior of solutions of a SIS epidemiological model

Chen, X., Tsai, J. C. & Wu, Y., 2017 Jan 1, In : SIAM Journal on Mathematical Analysis. 49, 5, p. 3925-3950 26 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

Zhou, J. & Chen, J. S., 2017 Jun 1, In : Set-Valued and Variational Analysis. 25, 2, p. 211-232 22 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Multimedia instruction presented by integrated context to enhance understanding of compass-and-straightedge construction

Chen, M. J., Lee, C. Y., Lei, K. H., Tso, T. Y. & Lin, S. L., 2017 Jan 1, In : Eurasia Journal of Mathematics, Science and Technology Education. 13, 7, p. 3735-3752 18 p.

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)

Numerical solution to a linear equation with tensor product structure

Fan, H-Y., Zhang, L., Chu, E. K. W. & Wei, Y., 2017 Dec 1, In : Numerical Linear Algebra with Applications. 24, 6, e2106.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On a variant of the Ailon–Rudnick theorem in finite characteristic

Ghioca, D., Hsia, L-C. & Tucker, T. J., 2017 Feb 20, In : New York Journal of Mathematics. 23, p. 213-225 13 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

On merit functions for p-order cone complementarity problem

Miao, X. H., Chang, Y. L. & Chen, J. S., 2017 May 1, In : Computational Optimization and Applications. 67, 1, p. 155-173 19 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On xD-generalizations of stirling numbers and lah numbers via graphs and rooks

Eu, S. P., Liang, Y. C., Fu, T. S. & Wong, T. L., 2017 Apr 13, In : Electronic Journal of Combinatorics. 24, 2

Research output: Contribution to journalArticle

Open Access
2 Citations (Scopus)
2 Citations (Scopus)
2 Citations (Scopus)

Projection formula and one type of spectral factorization associated with p-order cone

Miao, X., Qi, N. & Cheny, J. S., 2017 Jan 1, In : Journal of Nonlinear and Convex Analysis. 18, 9, p. 1699-1705 7 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Recent progresses in outcome-dependent sampling with failure time data

Ding, J., Lu, T. S., Cai, J. & Zhou, H., 2017 Jan 1, In : Lifetime Data Analysis. 23, 1, p. 57-82 26 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Regularity of solutions to a reaction–diffusion equation on the sphere: the Legendre series approach

Bialecki, S., Kaźmierczak, B., Nowicka, D. & Tsai, J. C., 2017 Sep 30, In : Mathematical Methods in the Applied Sciences. 40, 14, p. 5349-5369 21 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Simultaneously preperiodic points for families of polynomials in normal form

Ghioca, D., Hsia, L. C. & Nguyen, K. D., 2017 Jan 1, In : Proceedings of the American Mathematical Society. 146, 2, p. 733-741 9 p.

Research output: Contribution to journalArticle

Skew Standard Domino Tableaux and Partial Motzkin Paths

Cheng, T. Y., Eu, S. P., Fu, T. S. & Lee, Y. L., 2017 Mar 1, In : Annals of Combinatorics. 21, 1, p. 43-71 29 p.

Research output: Contribution to journalArticle

Solving large-scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh–Ritz method

Xiao, J., Zhang, C., Huang, T. M. & Sakurai, T., 2017 May 25, In : International Journal for Numerical Methods in Engineering. 110, 8, p. 776-800 25 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Statistical inferences for data from studies conducted with an aggregated multivariate outcome-dependent sample design

Lu, T. S., Longnecker, M. P. & Zhou, H., 2017 Mar 15, In : Statistics in Medicine. 36, 6, p. 985-997 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The asymptotic analysis of the structure-preserving doubling algorithms

Kuo, Y. C., Lin, W. W. & Shieh, S. F., 2017 Oct 15, In : Linear Algebra and Its Applications. 531, p. 318-355 38 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Unifying Differential Item Functioning in Factor Analysis for Categorical Data Under a Discretization of a Normal Variant

Chang, Y. W., Hsu, N. J. & Tsai, R. C., 2017 Jun 1, In : Psychometrika. 82, 2, p. 382-406 25 p.

Research output: Contribution to journalArticle

Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, I

Chen, Z., Kuo, T. J. & Lin, C. S., 2017 Jun 1, In : Journal of Geometry and Physics. 116, p. 52-63 12 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

What Mathematics Education May Prepare Students for the Society of the Future?

Gravemeijer, K., Stephan, M., Julie, C., Lin, F. L. & Ohtani, M., 2017 May 1, In : International Journal of Science and Mathematics Education. 15, p. 105-123 19 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)