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Zeno and the Wrong Understanding of Motion—A Philosophical-Mathematical Inquiry into the Concept of Finitude as a Peculiarity of infinity

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Journal of Applied Mathematics and Physics 2024年第3期12卷 912-929页

作者： Andreas Herberg-Rothe Faculty of Social and Cultural Studies University of Applied Sciences Fulda Hesse Germany

In contrast to the solutions of applied mathematics to Zeno’s paradoxes, I focus on the concept of motion and show that, by distinguishing two different forms of motion, Zeno’s apparent paradoxes are not paradoxical at all. Zeno’s paradoxes indirectly prove that distances are not composed of extensionless points and, in general, that a higher dimension cannot be completely composed of lower ones. Conversely, lower dimensions can be understood as special cases of higher dimensions. To illustrate this approach, I consider Cantor’s only apparent proof that the real numbers are uncountable. However, his widely accepted indirect proof has the disadvantage that it depends on whether there is another way to make the real numbers countable. Cantor rightly assumes that there can be no smallest number between 0 and 1, and therefore no beginning of counting. For this reason he arbitrarily lists the real numbers in order to show with his diagonal method that this list can never be complete. The situation is different if we start with the largest number between 0 and 1 (0.999…) and use the method of an inverted triangle, which can be understood as a special fractal form. Here we can construct a vertical and a horizontal stratification with which it is actually possible to construct all real numbers between 0 and 1 without exception. Each column is infinite, and each number in that column is the starting point of a new triangle, while each row is finite. Even in a simple sine curve, we experience finiteness with respect to the y-axis and infinity with respect to the x-axis. The first parts of this article show that Zeno’s assumptions contradict the concept of motion as such, so it is not surprising that this misconstruction leads to contradictions. In the last part, I discuss Cantor’s diagonal method and explain the method of an inverted triangle that is internally structured like a fractal by repeating this inverted triangle at each column. The consequence is that we encounter t

关键词： Zeno False Assumptions about Motion Finitude infinity Cantor’s Diagonal Method Inverted Triangle as a Different Method Vertical and Horizontal Dimensions Quantum Theory Relativity of Space and Time Depending on Velocity

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医科达infinity医用电子直线加速器多例维修案例分析探讨

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中国设备工程 2024年第14期 76-77页

作者：郭瑞锋李伶胡胜文麦燕华房诗婷刘佳广东医科大学附属医院广东湛江524000

医科达infinity医用电子直线加速器是一种精密的放射治疗设备,用于肿瘤等疾病的治疗。然而,由于设备的复杂性和使用频率,设备在运行过程中可能会出现包括硬件故障、软件故障和系统设置故障等。对于这些故障,需要进行详细的故障分析,找... 详细信息

医科达infinity医用电子直线加速器是一种精密的放射治疗设备,用于肿瘤等疾病的治疗。然而,由于设备的复杂性和使用频率,设备在运行过程中可能会出现包括硬件故障、软件故障和系统设置故障等。对于这些故障,需要进行详细的故障分析,找出故障点并进行修复或更换。同时,需要对infinity加速器进行定期的保养,以确保其能正常稳定工作并尽可能延长设备使用寿命和降低故障发生率。本文将对医科达infinity医用电子直线加速器的多例故障维修进行详细的介绍,包括设备维护、故障排除、维修技巧等并详细介绍infinity加速器的具体维护保养方法,以便同行进行查阅探讨。

关键词：医科达加速器 infinity 故障维修设备维护保养

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THE HYPERMEDIA DATA MODEL BASED ON THE infinity IMAGE

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地球空间信息科学学报（英文） 2000年第4期3卷 48-53页

作者： WAN Xiaoxia School of Printing Engineering WTUSM Wuhan China

This paper presents the hypermedia data model based on the infinity RS image information system we have *** hypermedia data model consists of different semantic units called nodes,and the associations between nodes are called *** paper proposes three kinds of nodes (interior node,physical node and complex node) and two kinds of links (plane network structure link,hyper_cube network structure links).The hypermedia information system,based on the model and the basic data layer (the infiniy RS image),represents a digital *** approach to the “Getting Lost in the Hyper_space” problem is *** approach using the hypermedia data model is an efficient way of handling a large number of RS images in various geographical information systems.

关键词： hypermedia data model nodes links navigation infinity RS image

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<i>E</i>infinity, the Zero Set, Absolute Space and the Photon Spin

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Journal of Modern Physics 2015年第5期6卷 536-545页

作者： Jean-Paul Auffray ex: Courant Institute of Mathematical Sciences New York University New York USA ex: American Institute of Physics New York USA

As defined and used in General Relativity calculations, spacetime is a strictly classical construct which does not incorporate in any way, shape or form the concept of quantum. While reviewing the efforts that Alexandria theoretician M. S. El Naschie has made to resolve the dichotomy, we discovered that his E infinity theory contains a Cantor set which has characteristics specified by Isaac Newton for Absolute space. We show that this unexpected connection leads to an understanding of the mysterious origin of the one and only attribute that all particles listed in the Standard Model of Elementary Particles possess—including notably the photon—and which has remained unexplained hitherto: spin. This most rewarding result reinforces our belief in the relevance of the E infinity basic concepts in relation to our own Xonic Quantum Physics (XQP) which places dynamical action rather spacetime and energy at the core of the System of the World.

关键词： Quantum Foam E infinity Xonic Quantum Physics Newton Absolute Space Photon Spin

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Apropos 1+2+3+4+5+...=<img src="http://***/***?-\frac{1}{12}"title="-\frac{1}{12}"/>: Mapping infinity in Light of the Number Circle (or Cycle), in L. Euler’s Footsteps and with the Aid of Two Dimensional Infinite Series, and Replacing Negative infinity and Positive infinity with Just infinity

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Advances in Pure Mathematics 2017年第1期7卷 75-133页

作者： Leo Depuydt Egyptology and Assyriology Brown UniversityProvidenceRIUSA

The number circle—that is, the notion that the largest possible positive numbers are followed by infinity and then by the smallest possible negative numbers—is not new. L. Euler defended it in the eighteenth century and, before him, J. Wallis considered something vaguely similar. However, in the nineteenth century, the number circle was for the most part abandoned—even if something similar is on occasion accepted in geometry, in the sense that space is circular. The design of the present paper is to present positive proof of the veracity of the number circle and therefore, at the same time, to falsify the number line. Verifying the number circle implies falsifying negative infinity and positive infinity—infinity instead being neither negative nor positive, just like 0. Part of said proof involves showing that infinity can be defined both as 1+1+1+1+1+1+... and as -1-1-1-1-1-... and that the following Equation applies: 1+1+1+1+1+1+...=-1-1-1-1-1-... The principal mathematical technique that will be used to provide said proof is introduced here for the first time. It is called the two dimensional infinite series. It is an infinite series of infinite series. Some additional observations regarding the geography of infinity will be made. A more detailed description of the geography of infinity will be reserved for other papers. The Equation is discussed in this paper only to the extent that the attention that has been paid to it has necessitated the construction of a theory of infinity that, upon closer inspection, makes the Equation more self-evident and intuitively apparent;a fuller discussion will take place in a later paper.

关键词： Euler L. Infinite Series Infinite Series of Infinite infinity Geography of Negative infinity Invalidity of Number Circle Veracity of Number Cycle Number Line Positive infinity Two dimensional Infinite Series Ramanujan Rational Human Intelligence Wallis J.

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Existence of Viscosity Solutions to a Parabolic Inhomogeneous Equation Associated with infinity Laplacian

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Journal of Applied Mathematics and Physics 2015年第5期3卷 488-495页

作者： Fang Liu Department of Applied Mathematics School of Science Nanjing University of Science & Technology Nanjing China

In this paper, we obtain the existence result of viscosity solutions to the initial and boundary value problem for a nonlinear degenerate parabolic inhomogeneous equation of the form , where denotes infinity Laplacian... 详细信息

关键词： infinity Laplacian Viscosity Solution Inhomogeneous Equation

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The infinity Tree: Representing Infinities of Real Numbers with Countably Infinite Tree Structures

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Advances in Pure Mathematics 2023年第4期13卷 198-205页

作者： Philip C. Jackson TalaMind LLC Troy MI USA

This paper discusses how the infinite set of real numbers between 0 and 1 could be represented by a countably infinite tree structure which would avoid Cantor’s diagonalization argument that the set of real numbers is not countably infinite. Likewise, countably infinite tree structures could represent all real numbers, and all points in any number of dimensions in multi-dimensional spaces. The objective of this paper is not to overturn previous research based on Cantor’s argument, but to suggest that this situation may be treated as a definitional or axiomatic choice. This paper proposes a “non-Cantorian” branch of cardinality theory, representing all these infinities with countably infinite tree structures. This approach would be consistent with the Continuum Hypothesis.

关键词： infinity Countable Diagonalization Real Numbers Tree Structure infinity Tree Continuum Hypothesis

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西门子infinity MTS的特点及其应用

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电信科学 2002年第5期18卷 69-70页

作者：李婷西门子(广州)传输系统有限公司

1引言

关键词：西门子 infinity MTS 应用数据通信业务传输容量

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infinity PROTOTYPE 10 infinity 犹抱琵琶半遮面

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世界汽车 2018年第10期 36-43页

作者：王一鸣

英菲尼迪打造的全新电动概念车Prototype 10是Prototype 9推出以来的后续动作。英菲尼迪称它将是一款汇聚最前沿技术及设计理念的全新概念车，Prototype 10全面揭示了英菲尼迪迈向电动时代的最新成果。

关键词： infinity 琵琶英菲尼迪新概念车设计理念电动

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infinity“间奏曲”新型家庭影院音箱系统

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实用影音技术 2000年第8期 26-27页

作者：铁牛

自从Hi—Fi音响系统问世以来,声音的重现一直面临着室内音响特性引起的诸多问题。因此,多只音箱在听音室的布局配置仍然是迄今为止最难对付的问题之一,人们梦想着总有一天只需轻轻一按电键,所有的音箱都能对任何一类听音室自动进行最佳... 详细信息

自从Hi—Fi音响系统问世以来,声音的重现一直面临着室内音响特性引起的诸多问题。因此,多只音箱在听音室的布局配置仍然是迄今为止最难对付的问题之一,人们梦想着总有一天只需轻轻一按电键,所有的音箱都能对任何一类听音室自动进行最佳的配置,而无需人们进行绞尽脑汁的设计便可送出最佳的音质。目前,著名的音箱制造厂家infinity正在从事解决这一问题的技术改革工作。

关键词：家庭影院音箱 infinity

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