无限式体验在App交互设计中的应用研究

短视频类App随着互联网的快速发展,吸引越来越多的人利用碎片时间刷视频,沉浸在这种无限式体验中,不知不觉过去了很长时间。无限式体验通过简单的手势上下划动操作,不断出现新的页面或视频信息,吸引用户使用App的大部分时间。现如今流量竞争激烈,如何很好地抢占用户时间,让各类App想尽办法,而这种无限式体验设计就是一种性价比很高的方法。通过研究无限式体验在各类App中的重要意义,总结如何在App中合理地运用无限式体验设计,让用户体验与商业和科技相辅相成,互利共赢。

复合三段论的有效形式论纲

本文针对传统逻辑对复合三段论的研究还相对滞后的客观现实,从复合三段论是否受"格"限制两个方面总结出了复合三段论的全部有效形式,并且对有效形式作了有限式、无限式、代表式、非代表式的区分,从而深化了对复合三段论的认识。在复合三段论的理论和实践方面都有现实指导意义。

悬锚式挡土墙结构设计与稳定性分析

悬锚式挡土墙是社会上新兴的一种组合式支挡结构,具有一定的经济性与稳定性。本文主要以悬锚式挡土墙作为研究对象,以精确的分析结果为依托,对悬锚式挡土墙的稳定性与结构设计进行了深入性探究,给出了无限条分析法与专业的拉杆设计方式。本文归纳的设计方法与计算结果具有一定的借鉴意义与应用价值,有效促进了悬锚式挡土墙的发展与应用。

亚油酸乳状液体系氧化模型与求解

研究了恒表面氧压静置式无限氧补偿条件下乳状液中亚油酸的氧化,通过综合考虑气液边界传质阻力、水相扩散、油水边界乳化剂膜边界层阻力、多不饱和脂肪酸(PUFA)自催化氧化反应动力学,建立了扩散-氧化数学模型。采用非对称正交配置法处理特殊边界,求解偏微分方程组,计算了氧化过程中乳状液中氧和亚油酸在垂直于液膜方向的浓度分布,计算方法快捷、有效;结合数学模拟试验和实验值,确定了气液界面氧的液膜传质系数和水相中氧的扩散系数。实验验证该模型能较好地拟合静置式无限氧补偿条件下乳状液中氧的扩散和亚油酸的氧化过程。

Deriving Vibration Modes of Semi-infinite Chain Model by “Invariant Eigen-operator”Method

For the first time, we introduce a fully quantum mechanical Hamiltonian for a semi-infinite chain model of atoms. We then derive the vibration modes of this model by virtue of the ＂invariant eigen-operator＂ method in two different cases, which is concise and revealing.

Super number roots and factorizations for a kind of polynomial

It is widely known that the equation 2xx= has and only has two roots 0 and 1. Jiglevich A.B. and Petrov N. N. discovered that equation has two other roots, i.e. infinite place’s numbers (called super numbers): 8212890625X=L and 1787109376Y=L, and obtained 4 (super number) roots of the equation2xx=. For progressing to wider conditions, with the way of exactly divisible and mutually orthogonal Latin squares, three attractive results are obtained: 1) A kind of polynomial 1()()niiPxxa==P-, ,1,2,,iain?KZ has and only has different n2 super number roots; 2) When n>2 and n 6, those n2 roots of the polynomial ()Px can be arranged in an n-order square matrix, of which n roots of every row and every column satisfy Vieta Formula of roots and coefficients; 3) In *Z ring of super number, the polynomial1()()niiPxxa==P-, ,1,2,,iain?KZ has n! different factorizations.

Noether Symmetry and Noether Conserved Quantity of Nielsen Equation for Dynamical Systems of Relative Motion

Noether symmetry of Nielsen equation and Noether conserved quantity deduced directly from Noether symmetry for dynamical systems of the relative motion are studied. The definition and criteria of Noether symmetry of a Nielsen equation under the infinitesimal transformations of groups are given. Expression of Noether conserved quantity deduced directly from Noether symmetry of Nielsen equation for the system are obtained. Finally, an example is given to illustrate the application of the results.

On the Pseudo-Primeness of Meromorphic Functions of Infinite Order

In this paper the pseudo -primeness of meromorphic functions of infinite order is dissoussed in detail and quite a few result are obtained, which are improvments of that of Ozawa.

ON PJATECKII-SAPIRO PRIME NUMBER THEOREM

It is proved that, for 1 < c < e, there are infinitely many primes of the form [n'l.

Quantum Fisher Information for Density Matrices with Arbitrary Ranks

We provide a new expression of the quantum Fisher information(QFI) for a general system.Utilizing this expression,the QFI for a non-full rank density matrix is only determined by its support.This expression can bring convenience for an infinite-dimensional density matrix with a finite support.Besides,a matrix representation of the QFI is also given.

Positive energy theorem for(4+1)-dimensional asymptotically anti-de Sitter spacetimes

We define the total energy-momenta for(4+1)-dimensional asymptotically anti-de Sitter spacetimes,which comes from the boundary terms at infinity in the integral form of the Weitzenbck formula.Then we prove the positive energy theorem for such spacetimes,following Witten’s original argumentsfor the positive energy theorem in asymptotically flat spacetimes.

ON THE OCCASION OF THE SEVENTIETH BIRTHDAY OF PROFESSOR CHANG KUNG-CHING

Professor Kung-Ching Chang （Zhang Gongqing） is an outstanding figure in contemporary Chinese mathematics. He made fundamental contributions to the study of PDEs with discontinuous nonlinearities and that of Harmonic Maps and Minimal Surfaces. He is a leading world expert in studying Infinite-dimensional Morse Theory. Born in the middle of messy wars, and educated at a time when China was going through traumatic modern transformations, Chang overcame unimaginable difficulties to achieve as not only a deep and influential mathematician, but also an admirable human being. He has spent a lifetime on his beloved field of mathematics and has become a source of inspiration for several generations of Chinese mathematicians.

A partition-of-unity based three-node triangular element with continuous nodal stress using radial-polynomial basis functions

A partition-of-unity （PU） based ＂FE-Meshfree＂ three-node triangular element （Trig3-RPIM） was recently developed for linear elastic problems. This Trig3-RPIM element employs hybrid shape functions that combine the shape functions of three-node triangular element （Trig3） and radial-polynomial basis functions for the purpose of synergizing the merits of both finite element method and meshfree method. Although Trig3-RPIM element is capable of obtaining higher accuracy and convergence rate than the Trig3 element and four-node iso-parametric quadrilateral element without adding extra nodes or degrees of freedom （DOFs）, the nodal stress field through Trig3-RP1M element is not continuous and extra stress smooth operations are still needed in the post processing stage. To further improve the property of Trig3-RPIM element, a new PU-based triangular element with continuous nodal stress, called Trig3-RPIMcns, is developed. Numerical examples including several linear, free vibration and forced vibration test problems, have confirmed the correctness and feasibility of the proposed Trig3-RPIMcns element.