Dimension (mathematics and physics)

A diagram showing the first four spatial dimensions. 1-D: Two points A and B can be connected to a line, giving a new line segment AB. 2-D: Two parallel line segments AB and CD can be connected to become a square, with the corners marked as ABCD. 3-D: Two parallel squares ABCD and EFGH can be connected to become a cube, with the corners marked as ABCDEFGH. 4-D: Two parallel cubes ABCDEFGH and IJKLMNOP can be connected to become a hypercube, with the corners marked as ABCDEFGHIJKLMNOP. In physical terms, dimension refers to the constituent structure of all space (cf. volume) and its position in time (perceived as a scalar dimension along the t-axis), as well as the spatial constitution of objects within—structures that correlate with both particle and field conceptions, interact according to relative properties of mass—and are fundamentally mathematical in description. The concept of dimension is not restricted to physical objects. A tesseract is an example of a four-dimensional object. Related: .caisson test • .caisson test • Dimensions

My Story: Experimenting With Message Passing Software Modules for Arduino Programming I've been fascinated by the idea of being able to build software applications in a way similar to how electronic circuits are built using ICs. That is, by connecting discrete software components together via clearly defined communication pathways. I've begun to use the Arduino development platform to play around with ideas for implementing this type of component-based system. I'd like to see if it's possible to create useful Arduino-based applications this way. A library of reusable software components should promote faster prototyping and development. The following describes my first project, which involved creating a small set of very simple modules and a runtime system to host them. Simple Software Module System Description The diagram in Figure 1 shows two modules, A and B, connected by channels ab and ba. Figure 1: Software Modules Modules and Ports void Mod1(int InPort1[], ..., int InPortN[], int OutPortN[], ..., int InPortM) { module code } Messages int msg[messageSize]; Channels

Dimensions in Philosophy Networks and dimension Fourth dimension in literature The idea of a fourth dimension has been a factor in the evolution of modern art, but use of concepts relating to higher dimensions has been little discussed by academics in the literary world.[1] From the late 1800s onwards, many writers began to make use of possibilities opened up by the exploration of such concepts as hypercubes and non-Euclidian geometry. While many writers took the fourth dimension to be one of time (as it is commonly considered today), others preferred to think of it in spatial terms, and some associated the new mathematics with wider changes in modern culture. Early influence[edit] Theoretical physicist James Clerk Maxwell is best known for his work in formulating the equations of electromagnetism. He was also a prize-winning poet,[2] and in his last poem Paradoxical Ode; Maxwell muses on connections between science, religion and nature, touching upon higher-dimensions along the way:[3] "..shall we stay our upward course? H.G. Other works[edit] References[edit]

Playing Book « Tilt In the past, when people spent their spare time reading a book, they read paper books. Nowadays though, people use computers, smart phones, or iPads to read during their spare time. However, electronic books cannot provide the analogue aesthetic which can be felt in a paper book. For example, people cannot feel the texture of the paper, they cannot turn the pages of a book or smell the different scents of paper. Electronic books on readers’ hand are fast, easy, and convenient, but they cannot satisfy the readers mentally and emotionally. Thus, the graphic designer, Sungshin Yim, created the “Playing book” to fulfil the readers’ emotional needs by applying new techniques and materials and yet keeping the original material of the book, paper. The book designer, Sungshin Yim is showing a playing book that can play music by touching letters. Sungshin will continue to study about the future of the books so she is interested in new materials and new technology. W// www.sungshinyim.com

Does Mathematics Reflect Reality Does Mathematics Reflect Reality? Part Four: Order Out of Chaos Does Mathematics Reflect Reality? "The fact that our subjective thought and the objective world are subject to the same laws, and hence, too, that in the final analysis they cannot contradict each other in their results, but must coincide, governs absolutely our whole theoretical thought." The content of "pure" mathematics is ultimately derived from the material world. From Pythagoras onwards, the most extravagant claims have been made on behalf of mathematics, which has been portrayed as the queen of the sciences, the magic key opening all doors of the universe. The theories of mathematics have been, on the one side, the source of tremendous scientific advance, and, on the other, the origin of numerous errors and misconceptions which have had, and are still having profoundly negative consequences. The development of mathematics is the result of very material human needs. Contradictions in Mathematics Does the Infinite Exist?

Function space Examples[edit] Function spaces appear in various areas of mathematics: Functional analysis[edit] Functional analysis is organized around adequate techniques to bring function spaces as topological vector spaces within reach of the ideas that would apply to normed spaces of finite dimension. Bibliography[edit] Kolmogorov, A. See also[edit] Touch Board Buy Capacitive touch, distance sensing, MP3, MIDI & more on the Arduino-compatible Touch Board The Touch Board is a powerful prototyping tool which combines Arduino compatibility with robust capacitive touch, distance sensing, an MP3 Player, MIDI functionality and a LiPo battery charger. The Touch Board is perfect for any designer, engineer, artist, student or educator. Create 12 touch or proximity sensors using Electric Paint or any other conductive material. The Touch Board is part of the Arduino at Heart program which means you can program it and use it just like any Arduino. Not sure where to get started? Getting started is easy The Touch Board comes pre-programmed with an audio guide that takes you through basic features and highlights of the board. Getting Started with the Touch Board Capacitive touch and distance sensing Want to paint an interactive wall? Proximity Sensing with the Touch BoardVisualising Touch Board Sensor Performance You’ve got an Arduino You’ve got an MP3 Player

Dialogues avec l'ange - Documents dialogues avec l'ange Le contexte historique Durant 17 mois, pendant la seconde guerre mondiale, quatre amis hongrois (Gitta Mallasz, Lili Strausz, Hanna Dallos et son mari Joseph Kreutzer) ont reçu un enseignement qu'ils disaient émaner d’autre part, d’un maître intérieur ou d’un ange. Gitta Mallasz avait reçu une vague éducation catholique, les trois autres, d’origine juive, n’avaient pas reçu d'éducation religieuse particulière. Mais cette époque troublée porte aux remises en questions, aux interrogations les plus brûlantes. En 1943, les quatre amis se retrouvent dans une petite maison louée par Hanna et Joseph à Budaliget dans les environs de la capitale, où ils essaient de trouver un peu de sérénité. Gitta cherche alors à sauver ses amies du ghetto, quand on lui propose de prendre le commandement d’un atelier de confection militaire monté par un de ses amis et un prêtre catholique, le père Klinda, pour sauver des juives. Les nazis hongrois surveillent de près ce drôle d’atelier.