47
47
Sep 19, 2013
09/13
by
Wei-Dong Ruan
texts
eye 47
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In this paper we start the program of constructing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric variety near the large complex limit, with respect to the restriction of a toric metric on the toric variety to the Calabi-Yau hypersurface. The construction is based on the deformation of the standard toric generalized special Lagrangian torus fibration of the large complex limit $X_0$. In this paper, we will deal with the region near the smooth top...
Source: http://arxiv.org/abs/math/0303114v3
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57
Sep 22, 2013
09/13
by
Wei-Dong Ruan
texts
eye 57
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comment 0
In this paper we construct all smooth torus fibres of the generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties near the large complex limit.
Source: http://arxiv.org/abs/math/0309450v1
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44
Sep 21, 2013
09/13
by
Wei-Dong Ruan
texts
eye 44
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comment 0
In this paper, we provide an alternative proof of Donaldson's almost-holomorphic section theorem and symplectic Lefschetz pencil theorem, through constructions of certain special kind of Donaldson-type sections of the line bundle based on properties of exponential sums.
Source: http://arxiv.org/abs/math/0602118v1
10
10.0
Sep 20, 2021
09/21
by
Chen, Wei Dong
texts
eye 10
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171 pages : 19 cm
Topics: Luo, Guanzhong, approximately 1330-approximately 1400 -- Adaptations, Luo, Guanzhong, ca. 1330-ca....
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46
Sep 23, 2013
09/13
by
Wei-Dong Ruan
texts
eye 46
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comment 0
In this article we construct Lagrangian torus fibrations for general quintic \cy hypersurfaces near the large complex limit and their mirror manifolds using gradient flow method. Then we prove the Strominger-Yau-Zaslow mirror conjecture for this class of \cy manifolds in symplectic category.
Source: http://arxiv.org/abs/math/9909126v2
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58
Sep 19, 2013
09/13
by
Wei-Dong Ruan
texts
eye 58
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comment 0
In this paper we construct monodromy representing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties near the large complex limit.
Source: http://arxiv.org/abs/math/0303278v2
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66
Sep 23, 2013
09/13
by
Wei-Dong Ruan
texts
eye 66
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comment 0
In this paper we give a construction of Lagrangian torus fibration for Fermat type quintic \cy hypersurfaces via the method of gradient flow. We also compute the monodromy of the expected special Lagrangian torus fibration and discuss structures of singular fibers.
Source: http://arxiv.org/abs/math/9904012v2
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48
Sep 21, 2013
09/13
by
Wei-Dong Ruan
texts
eye 48
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comment 0
In this paper, using similar idea as in Fukaya-Oh's work ([9]), we devise a method to compute the Fukaya category of certain exact symplectic manifolds by reducing it to the corresponding Morse category of non-Hausdorff manifold as perturbation of the Lagrangian skeleton of the exact symplectic manifold.
Source: http://arxiv.org/abs/math/0602119v1
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21
Nov 21, 2020
11/20
by
Chen, Wei Dong
texts
eye 21
favorite 2
comment 0
1 online resource
Topics: Children's stories, JUVENILE FICTION -- Comics & Graphic Novels -- General
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49
Sep 19, 2013
09/13
by
Wei-Dong Ruan
texts
eye 49
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comment 0
In this paper we prove that the K\"{a}hler-Einstein metrics for a degeneration family of K\"{a}hler manifolds with ample canonical bundles Gromov-Hausdorff converge to the complete K\"{a}hler-Einstein metric on the smooth part of the central fiber when the central fiber has only normal crossing singularities inside smooth total space. We also prove the incompleteness of the Weil-Peterson metric in this case.
Source: http://arxiv.org/abs/math/0303112v2
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50
Sep 17, 2013
09/13
by
Wei-Dong Ruan
texts
eye 50
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In this paper we give a construction of Lagrangian torus fibration for Calabi-Yau hypersurface in toric variety via the method of gradient flow. Using our construction of Lagrangian torus fibration, we are able to prove the symplectic topological version of SYZ mirror conjecture for generic Calabi-Yau hypersurface in toric variety. We will also be able to give precise formulation of SYZ mirror conjecture in general (including singular locus and duality of singular fibres).
Source: http://arxiv.org/abs/math/0007028v1
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46
Sep 19, 2013
09/13
by
Wei-Dong Ruan
texts
eye 46
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comment 0
In this paper we prove that the K\"{a}hler-Einstein metrics for a toroidal canonical degeneration family of K\"{a}hler manifolds with ample canonical bundles Gromov-Hausdorff converge to the complete K\"{a}hler-Einstein metric on the smooth part of the central fiber when the base locus of the degeneration family is empty. We also prove the incompleteness of the Weil-Peterson metric in this case.
Source: http://arxiv.org/abs/math/0303113v4
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58
Sep 20, 2013
09/13
by
Wei-Dong Ruan
texts
eye 58
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comment 0
In this paper we will discuss local coordinates canonically corresponding to a Kahler metric. We will also discuss and prove the $C^\infty$ convergence of Bergman metrics following Tian's result on $C^2$ convergence of Bergman metrics. At the end, we present an interesting characterization of ample line bundle that could be useful in arithmetic geometry.
Source: http://arxiv.org/abs/dg-ga/9610011v3
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40
Sep 21, 2013
09/13
by
Wei-Dong Ruan
texts
eye 40
favorite 0
comment 0
In this paper we show that the convergence of complete Kahler-Einstein hypersurfaces in complex torus in the sense of Cheeger-Gromov will canonically degenerate the underlying manifolds into "pair of pants" decomposition. We also construct minimal Lagrangian tori that represent the vanishing cycles of the degeneration.
Source: http://arxiv.org/abs/math/0311098v2
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57
Sep 23, 2013
09/13
by
Wei-Dong Ruan
texts
eye 57
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In this paper we prove the unobstructedness of the deformation of integral coisotropic submanifolds in symplectic manifolds, which can be viewed as a natural generalization of results of Weinstein for Lagrangian submanifolds.
Source: http://arxiv.org/abs/math/0312107v3
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49
Sep 22, 2013
09/13
by
Wei-Dong Ruan
texts
eye 49
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comment 0
H-minimal Lagrangian submanifolds in general K\"{a}hler manifolds generalize special Lagrangian submanifolds in Calabi-Yau manifolds. In this paper we will use the deformation theory of H-minimal Lagrangian submanifolds in K\"{a}hler manifolds to construct minimal Lagrangian torus in certain K\"{a}hler-Einstein manifolds with negative first Chern class.
Source: http://arxiv.org/abs/math/0309177v2
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82
Sep 23, 2013
09/13
by
Wei-Dong Ruan
texts
eye 82
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comment 0
This paper provides the technical details of gradient flow construction and related problems, which are essential for our construction of Lagrangian torus fibrations for Calabi-Yau hypersurfaces.
Source: http://arxiv.org/abs/math/0411264v1
2
2.0
Nov 13, 2021
11/21
by
Chen, wei dong
texts
eye 2
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comment 0
307 pages ; 26 cm
Topic: Fa lü wen shu -- xie zuo -- zhong guo -- jiao cai
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72
Sep 22, 2013
09/13
by
Wei-Dong Ruan
texts
eye 72
favorite 0
comment 0
In this work, we discuss graph like image of curves under moment maps and their relation with the Newton polygon of the curve, which has applications to Lagrangian torus fibration of Calabi-Yau manifolds.
Source: http://arxiv.org/abs/math/0011012v2
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99
Sep 21, 2013
09/13
by
Wei-Dong Ruan
texts
eye 99
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In this paper we summarize our recent work in the construction of Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric varieties and the symplectic Strominger-Yau-Zaslow conjecture, together with some new development. It is submittded to the Proceedings of the Conference in Symplectic Geometry and Mirror Symmetry held in KIAS, Seoul, Korea. The paper was finished in Jan. 2001, with revisions and added reference.
Source: http://arxiv.org/abs/math/0104010v1
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4.0
Mar 5, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 4
favorite 0
comment 0
There is a revision, I add some accessories to extend it's function as a pen holder, please refer to https://www.thingiverse.com/thing:3481480 This little thing is used for mounting your mobile phone on a monitor. Due to different monitor shell design/mobile phone shape design, I am not sure will it fit you or not. For my molile phone/monitor, it woks very nice. The suitable mobile phone size as showed (W 77mm x T 9.5mm). Please use 12mm width dual adhesive tape to fix it on your monitor if...
Topics: cell_phone, stl, Mobile Phone, office_equipment, thingiverse, mobile_phone
4
4.0
Mar 4, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 4
favorite 0
comment 0
This is a little thing I have made. I hope it will be useful for you. The shape looks like an aircraft. When your cellphone in stand position, please pull out the little tail to backside to make it more stable. When your cellphone lies on side, it's up to you, without the little tail, it is still very stable. There is a little gap bewteen the body and the little tail, when you print it, be aware that when the first layer finished, the gap should still be remained, otherwise it will be difficult...
Topics: stl, Mobile Phone, thingiverse
4
4.0
Mar 5, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 4
favorite 0
comment 0
I made a revision of the mobile phone bracket which I published last time. I Add some accessories to make it as a simple pen holder. Thus will make your table clean. You may also charge your phone with a usb line. Please print the two back parts in stand position with some supports to avoid the hands breaking. It's better you creat supports by manual. Total weight of whole set around 100g with 25％ infill. For more information, please refer to my post https://www.thingiverse.com/thing:3472346
Topics: stl, mobile_phone_holder, cellphone_stand, Mobile Phone, penholder, thingiverse
3
3.0
Mar 22, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 3
favorite 0
comment 0
This is a funny windmill, it works very nice under nature wind outdoor. To finish this windmill, you may need the following parts: 1. Ball bearing 2pcs, i prefer MR105ZZ 2. Steel pin 1pc, 5x50mm, match your bearings. 3. Glass fiber bars 5x350-400mm 1pc, 8x400mm 1pc, you may use steel bar or carbon fiber bar as well. 4. A coil plate for pla/ABS as foundation, you'd better draw a part by yourself, that will fit your plate very well. You should try different tolerances of some parts to make the...
Topics: thingiverse, Mechanical Toys, stl, windmill
5
5.0
Mar 4, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 5
favorite 0
comment 0
A simple Z limit design. I think it's more stable.
Topics: 3D Printer Parts, stl, thingiverse
4
4.0
Apr 20, 2021
04/21
by
Wei-Dong Mao (Fitshading)
data
eye 4
favorite 0
comment 0
I made this E3d-v5 mount. Normally I use my MB printers. This is the only part I have drawed for kossel. If you have a kossel printers with E3d-v5, this part will work. This mounts is designed for 3pcs 3010 fans only. It can be printed without any support. sorry, the fans needed are 3ps of 3010, I said 4010 fans before was wrong!!!
Topics: thingiverse, 3D Printer Parts, stl
4
4.0
Mar 4, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 4
favorite 0
comment 0
A pen holder, hope you like it.
Topics: stl, Art Tools, thingiverse
6
6.0
Mar 4, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 6
favorite 0
comment 0
A radiator case for E3d-V6, can be used for MB printers. Need a radiator fan 3010. Use 4pcs M3x14mm screws. It's better to be printed as pic No.2 showed.
Topics: 3D Printer Parts, stl, E3D_v6, thingiverse
7
7.0
Apr 20, 2021
04/21
by
Wei-Dong Mao (Fitshading)
data
eye 7
favorite 0
comment 0
It is a nice variable color touch lamp with chinese art writing/painting sculptures. If you want, you may do your own sculptures from photos, remember that the sculpture size is 85mm(H)x60mm(W)x3.5mm(T)x4pcs for around, 60mmx60mmx3.5mm(T)x1pcs for top. I suggest you print the sculptures in standing position, 0.1mm layer height. ************************************************************************************************ Please adjust the print size of the sculptures I uploaded. The original...
Topics: thingiverse, 3DTouch, stl, Sculptures, lamp, LED_light, sculpture
5
5.0
Mar 31, 2021
03/21
by
Wei-Dong Mao (Fitshading)
data
eye 5
favorite 0
comment 0
A flexible phone mount, suitable for most phones ( maximum width 82.5mm, maximum thickness 9.6mm) This is a evolution version of my previous mount. This mount may be used on a monitor when you are working or in power charging. It also can be used as a table phone support when in leisure time. You need some glue to fix the center ring and limit bar onto the base. The hold arm and the roller can be pushed in slowly. It will be a little difficult to apart the back support from the connector body,...
Topics: thingiverse, cellphone_holder, Mobile Phone, stl, phone, mobile_phone_holder
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57
Sep 21, 2013
09/13
by
Wei-Dong Jiang; Feng Qi
texts
eye 57
favorite 0
comment 0
In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively. Consequently, the authors verify a conjecture posed in the paper "B. A. Bhayo and M. Vuorinen, On generalized trigonometric functions with two parameters, J. Approx. Theory 164 (2012), no.~10, 1415\nobreakdash--1426; Available online at...
Source: http://arxiv.org/abs/1301.3264v1
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49
Sep 21, 2013
09/13
by
Wei-Dong Jiang; Feng Qi
texts
eye 49
favorite 0
comment 0
In the paper, the authors obtain sharp bounds in terms of the power of the contra-harmonic mean for Neuman-S\'andor mean.
Source: http://arxiv.org/abs/1301.3554v1
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40
Dec 12, 2012
12/12
by
Nie feng; Qi wei dong
texts
eye 40
favorite 0
comment 0
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43
Sep 21, 2013
09/13
by
Wei-Dong Jiang; Feng Qi
texts
eye 43
favorite 0
comment 0
In the paper, the authors find sharp bounds for Neuman-S\'andor's mean in terms of the root-mean-square.
Source: http://arxiv.org/abs/1301.3267v1
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59
Sep 18, 2013
09/13
by
Wei-Dong Jiang; Feng Qi
texts
eye 59
favorite 0
comment 0
In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find some new sharp inequalities involving the Seiffert, contra-harmonic, centroidal, arithmetic, geometric, harmonic, and root-square means of two positive real numbers $a$ and $b$ with $a\ne b$.
Source: http://arxiv.org/abs/1201.6480v1
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5.0
Jun 30, 2018
06/18
by
Wei-Dong Jiang; Feng Qi
texts
eye 5
favorite 0
comment 0
In the paper, the authors find the greatest value $\lambda$ and the least value $\mu $ such that the double inequality \begin{multline*} C(\lambda a+(1-\lambda)b,\lambda b+(1-\lambda )a) 0$ with $a\ne b$, where $$ C(a,b)=\frac{a^{2}+b^{2}}{a+b},\quad A(a,b)=\frac{a+b}2, $$ and $$ T(a,b)=\frac{2}{\pi}\int_{0}^{{\pi}/{2}}\sqrt{a^2\cos^2\theta+b^2\sin^2\theta}\,d\theta$$ denote respectively the contraharmonic, arithmetic, and Toader means of two positive numbers $a$ and $b$.
Topics: Mathematics, Classical Analysis and ODEs
Source: http://arxiv.org/abs/1402.4561
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82
Sep 21, 2013
09/13
by
Wei-Dong Ruan; Yuguang Zhang
texts
eye 82
favorite 0
comment 0
In this paper, we study the convergence of Calabi-Yau manifolds under K\"{a}hler degeneration to orbifold singularities and complex degeneration to canonical singularities (including the conifold singularities), and the collapsing of a family of Calabi-Yau manifolds.
Source: http://arxiv.org/abs/0905.3424v1
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57
Jul 20, 2013
07/13
by
Wei-Dong Li; A. smerzi
texts
eye 57
favorite 0
comment 0
We study the nonlinear Schr\"odinger equation with a periodic delta-function potential. This realizes a nonlinear Kr\"onig-Penney model, with physical applications in the context of trapped Bose-Einstein condensate alkaly gases and in the transmission of signals in optical fibers. We find analytical solutions of zero-current Bloch states. Such wave-functions have the same periodicity of the potential, and, in the linear limit, reduce to the Bloch functions of the Kr\"onig-Penney...
Source: http://arxiv.org/abs/cond-mat/0406702v2
10
10.0
Nov 4, 2019
11/19
by
Zang De-Kui, Peng Wei-Dong
texts
eye 10
favorite 0
comment 0
7
7.0
Apr 16, 2022
04/22
by
Peng Wei-Dong; Peng Ze-Xiang
texts
eye 7
favorite 0
comment 0
12
12
Jul 22, 2021
07/21
by
Wei-Dong, Gu; Bao-Ling, Lu
texts
eye 12
favorite 0
comment 0
12
12
Nov 4, 2019
11/19
by
Li Fa-Zeng, Peng Wei-Dong
texts
eye 12
favorite 0
comment 0
48
48
Sep 23, 2013
09/13
by
Wei-Dong Ruan; Yuguang Zhang; Zhenlei Zhang
texts
eye 48
favorite 0
comment 0
If a normalized K\"{a}hler-Ricci flow $g(t),t\in[0,\infty),$ on a compact K\"{a}hler $n$-manifold, $n\geq 3$, of positive first Chern class satisfies $g(t)\in 2\pi c_{1}(M)$ and has $L^{n}$ curvature operator uniformly bounded, then the curvature operator will also uniformly bounded along the flow. Consequently the flow will converge along a subsequence to a K\"{a}hler-Ricci soliton.
Source: http://arxiv.org/abs/0710.3919v2
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60
Sep 22, 2013
09/13
by
Wei-Dong Sheng; Jian Wang; Hong Guo
texts
eye 60
favorite 0
comment 0
We have investigated the weakly non-linear quantum transport properties of a two-dimensional quantum conductor. We have developed a numerical scheme which is very general for this purpose. The nonlinear conductance is computed by explicitly evaluating the various partial density of states, the sensitivity and the characteristic potential. Interesting spatial structure of these quantities are revealed. We present detailed results concerning the crossover behavior of the second order nonlinear...
Source: http://arxiv.org/abs/cond-mat/9704096v1
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49
Sep 18, 2013
09/13
by
Wei-Dong Jiang; Jian Cao; Feng Qi
texts
eye 49
favorite 0
comment 0
In the paper, the authors find the best possible constants appeared in two inequalities for bounding the Seiffert mean by the linear combinations of the arithmetic, centroidal, and contra-harmonic means.
Source: http://arxiv.org/abs/1201.6432v1
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51
Oct 23, 2014
10/14
by
Ruan, Hongyu; Saur, Taixiang; Yao, Wei-Dong
texts
eye 51
favorite 0
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This article is from Frontiers in Neural Circuits , volume 8 . Abstract Spike timing-dependent plasticity (STDP) of glutamatergic synapses is a Hebbian associative plasticity that may underlie certain forms of learning. A cardinal feature of STDP is its dependence on the temporal order of presynaptic and postsynaptic spikes during induction: pre–post (positive) pairings induce t-LTP (timing-dependent long-term potentiation) whereas post–pre (negative) pairings induce t-LTD (timing-dependent...
Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4005942
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65
Sep 21, 2013
09/13
by
Wei-Dong Liu; Zhengyan Lin; Qi-Man Shao
texts
eye 65
favorite 0
comment 0
Let $\mathbf{X}_1,...,\mathbf{X}_n$ be a random sample from a $p$-dimensional population distribution. Assume that $c_1n^{\alpha}\leq p\leq c_2n^{\alpha}$ for some positive constants $c_1,c_2$ and $\alpha$. In this paper we introduce a new statistic for testing independence of the $p$-variates of the population and prove that the limiting distribution is the extreme distribution of type I with a rate of convergence $O((\log n)^{5/2}/\sqrt{n})$. This is much faster than $O(1/\log n)$, a typical...
Source: http://arxiv.org/abs/0901.2468v1
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67
Sep 22, 2013
09/13
by
Bin Huang; Yang-Heng Zheng; Wei-dong Li
texts
eye 67
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comment 0
We established a method on measuring the $\dzdzb$ mixing parameter $y$ for BESIII experiment at the BEPCII $e^+e^-$ collider. In this method, the doubly tagged $\psi(3770) \to D^0 \overline{D^0}$ events, with one $D$ decays to CP-eigenstates and the other $D$ decays semileptonically, are used to reconstruct the signals. Since this analysis requires good $e/\pi$ separation, a likelihood approach, which combines the $dE/dx$, time of flight and the electromagnetic shower detectors information, is...
Source: http://arxiv.org/abs/0812.1095v2
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39
Sep 17, 2013
09/13
by
Wei-Dong Li; Yunbo Zhang; J. -Q. Liang
texts
eye 39
favorite 0
comment 0
The energy band structure and energy splitting due to quantum tunneling in two weakly linked Bose-Einstein condensates were calculated by using the instanton method. The intrinsic coherent properties of Bose Josephson junction were investigated in terms of energy splitting. For $E_{C}/E_{J}\ll 1$, the energy splitting is small and the system is globally phase coherent. In the opposite limit, $E_{C}/E_{J}\gg 1$, the energy splitting is large and the system becomes a phase dissipation. Our...
Source: http://arxiv.org/abs/cond-mat/0305504v1
8
8.0
Jun 30, 2018
06/18
by
Thiago Firmino; Roberto Marquardt; Fabien Gatti; Wei Dong
texts
eye 8
favorite 0
comment 0
Diffusion rates are calculated on the basis of van Hove's formula for the dynamical structure factor (DSF) related to particle scattering at mobile adsorbates. The formula is evaluated quantum mechanically using eigenfunctions obtained from three dimensional realistic models for H/Pd(111) derived from first principle calculations. Results are compatible with experimental data for H/Ru(0001) and H/Pt(111), if one assumes that the total rate obtained from the DSF is the sum of a diffusion and a...
Topics: Physics, Chemical Physics, Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1406.0952
