Science China Mathematics is committed to publishing high-quality, original results in both basic and applied research. It presents reviews that summarize representative results and achievements in a particular topic or an area, comment on the current state of research, or advise on research directions. In addition, the journal features research papers that report on important original results in all areas of mathematics as well as brief reports that present information in a timely manner on the latest important results.
《科学中国数学》致力于在基础研究和应用研究领域发表高质量的原创成果。它提供的评论，总结了在一个特定的主题或领域的代表性结果和成就，评论目前的研究状态，或建议的研究方向。此外，该杂志还刊登了关于数学各个领域重要原创成果的研究论文，以及及时提供最新重要成果信息的简要报告。
A comparative analysis of optimization and generalization properties of two-layer neural network and random feature models under gradient descent dynamics
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-1628-5
Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9338-5
MgNet: A unified framework of multigrid and convolutional neural network
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-9547-2
Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9508-5
L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9498-8
Linear forms, algebraic cycles, and derivatives of L-series
来源期刊：Science China MathematicsDOI：10.1007/S11425-019-1589-7
Detecting direct associations in a network by information theoretic approaches
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9206-0
Frobenius bimodules and flat-dominant dimensions
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9519-2
Sharp spectral gap for the Finsler p-Laplacian
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9510-5
Abelian quotients and orbit sizes of linear groups
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9460-2
The Selberg-Delange method in short intervals with some applications
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9172-7
A conservative numerical method for the fractional nonlinear Schröinger equation in two dimensions
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9388-9
Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-1615-x
Pseudo-anti commuting Ricci tensor for real hypersurfaces in the complex hyperbolic quadric
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9298-0
A survey of the Szegő equation
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9497-0
On a class of almost regular Landsberg metrics
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9290-6
Examples of compact λ-hypersurfaces in Euclidean spaces
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9464-7
Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9524-x
A theoretic study of a distance-based regression model
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9295-7
Low regularity well-posedness for the viscous surface wave equation
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9410-3
Dynamics of a rigid body in a two-dimensional incompressible perfect fluid and the zero-radius limit
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9505-8
The decomposition of permutation module for infinite Chevalley groups
来源期刊：Science China MathematicsDOI：10.1007/s11425-017-9532-5
Extension formulae on almost complex manifolds
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-1668-4
Stability results of properties related to the Bishop-Phelps-Bollobás property for operators
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-9569-2
The Christoffel problem by the fundamental solution of the Laplace equation
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-1674-1
The complex 2-sphere in ℂ3 and Schrödinge flows
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9350-0
The asymptotic existence of frames with a pair of orthogonal frame resolutions
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9386-2
Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems with continuous potentials
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9098-9
A function model for the Teichmüller space of a closed hyperbolic Riemann surface
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-9520-4
A viral propagation model with a nonlinear infection rate and free boundaries
来源期刊：Science China MathematicsDOI：10.1007/s11425-020-1680-0
Dependence of solutions and eigenvalues of third order linear measure differential equations on measures
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9458-7
Evolutionary dynamics of cancer: From epigenetic regulation to cell population dynamics—mathematical model framework, applications, and open problems
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-1629-7
Periodic points and normal families concerning multiplicity
来源期刊：Science China MathematicsDOI：10.1007/s11425-016-9185-4
Efficient projected gradient methods for cardinality constrained optimization
来源期刊：Science China MathematicsDOI：10.1007/s11425-016-9124-0
Gorenstein homological invariant properties under Frobenius extensions
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9432-2
Consistent tuning parameter selection in high-dimensional group-penalized regression
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9189-9
Subsampling bias and the best-discrepancy systematic cross validation
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9561-0
Unstabilized and uncritical self-amalgamation along essential subsurfaces
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9202-3
The BLM realization for the integral form of Uv(glm|n)
来源期刊：Science China MathematicsDOI：10.1007/S11425-016-9103-1
A monotonicity theorem and its applications to weighted elliptic equations
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9414-8
From classical tilting to two-term silting
来源期刊：Science China MathematicsDOI：10.1007/s11425-018-9550-9
Rigidity for convex mappings of Reinhardt domains and its applications
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9359-9
Tail asymptotic for discounted aggregate claims with one-sided linear dependence and general investment return
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9167-0
Some recent progress in non-Kähler geometry
来源期刊：Science China MathematicsDOI：10.1007/S11425-019-9528-1
The Cauchy problem for a class of nonlinear degenerate parabolic-hyperbolic equations
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9215-8
Semiparametric quantile-difference estimation for length-biased and right-censored data
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9250-0
Lp-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on ℝn
来源期刊：Science China MathematicsDOI：10.1007/S11425-017-9310-0
Nevanlinna theory through the Brownian motion
来源期刊：Science China MathematicsDOI：10.1007/s11425-019-9548-y
Quasi-periodic solutions for the general semilinear Duffing equations with asymmetric nonlinearity and oscillating potential
来源期刊：Science China MathematicsDOI：10.1007/S11425-018-9491-0
A new piecewise quadratic approximation approach for L0 norm minimization problem
来源期刊：Science China MathematicsDOI：10.1007/s11425-017-9315-9
