Search results for [Manifolds (Mathematics)] at NC Cardinal

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A Cramer-Rao type inequality for random variables in Euclidean manifolds / by Hendriks, H.; Ruymgaart, F. H.; University of North Carolina (System).Institute of Statistics.(CARDINAL)165205; University of North Carolina at Chapel Hill.Department of Statistics.(CARDINAL)149563;

Includes bibliographical references (page 14).

Subjects: Mathematical statistics.; Manifolds (Mathematics); Random variables.;

Available copies: 1 / Total copies: 2

On-line resources: Suggest title for digitization;

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Manifold mirrors : the crossing paths of the arts and mathematics / by Cucker, Felipe,1958-(CARDINAL)810803;

Includes bibliographical references (pages 395-401) and indexs.

Subjects: Arts;

Available copies: 1 / Total copies: 1

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Fashion, faith, and fantasy in the new physics of the universe / by Penrose, Roger,author.(CARDINAL)726298;

Includes bibliographical references (pages 469-489) and index.Fashion. Mathematical elegance as a driving force ; Some fashionable physics of the past ; Particle-physics background to string theory ; The superposition principle in QFT ; The power of Feynman diagrams ; The original key ideas of string theory ; Time in Einstein's general relativity ; Weyl's gauge theory of electromagnetism ; Functional freedom in Kaluza-Klein and string models ; Quantum obstructions to functional freedom? ; Classical instability of higher-dimensional string theory ; The fashionable status of string theory ; M-theory ; Supersymmetry ; AdS/CFT ; Brane-worlds and the landscape -- Faith. The quantum revelation ; Max Planck's E = hv ; The wave-particle paradox ; Quantum and classical levels : C, U, and R ; Wave function of a point-like particle ; Wave function of a photon ; Quantum linearity ; Quantum measurement ; The geometry of quantum spin ; Quantum entanglement and EPR effects ; Quantum functional freedom ; Quantum reality ; Objective quantum state reduction : a limit to the quantum faith? -- Fantasy. The Big Bang and FLRW cosmologies ; Black holes and local irregularities ; The second law of thermodynamics ; The Big Bang paradox ; Horizons, comoving volumes, and conformal diagrams ; The phenomenal precision in the Big Bang ; Cosmological entropy? ; Vacuum energy ; Inflationary cosmology ; The anthropic principle ; Some more fantastical cosmologies -- A new physics for the universe? Twistor theory : an alternative to strings? ; Whither quantum foundations? ; Conformal crazy cosmology? ; A personal coda -- Appendix A. Mathematical appendix. Iterated exponents ; Functional freedom of fields ; Vector spaces ; Vector bases, coordinates, and duals ; Mathematics of manifolds ; Manifolds in physics ; Bundles ; Functional freedom via bundles ; Complex numbers ; Complex geometry ; Harmonic analysis."What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and best-selling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes productive and even essential in physics, may be leading today's researchers astray in three of the field's most important areas--string theory, quantum mechanics, and cosmology.... The result is an important critique of some of the most significant developments in physics today from one of its most eminent figures."--Dust jacket.

Subjects: Physics; Physics; String models.; Quantum theory.; Cosmology.; Physics.;

Available copies: 0 / Total copies: 2

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The shape of inner space : string theory and the geometry of the universe's hidden dimensions / by Yau, Shing-Tung,1949-(CARDINAL)519343; Nadis, Steve,1954-(CARDINAL)146938;

Includes bibliographical references (pages 331-343) and index."Space/time" (poem) -- The shapes of things to come -- A universe in the margins -- Geometry in the natural order -- A new kind of hammer -- Too good to be true -- Proving Calabi -- The DNA of string theory -- Through the looking glass -- Kinks in spacetime -- Back to the real world -- Beyond Calabi-Yau -- The universe unravels -- The search for extra dimensions -- Truth, beauty, and mathematics -- The end of geometry? -- Another day, another donut -- Entering the sanctum -- "A flash in the middle of a long night" (poem).String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. Here, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.--From publisher description.

Subjects: Hyperspace.; String models.; Fourth dimension.;

Available copies: 1 / Total copies: 2

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Mastering 3D printing / by Horvath, Joan.(CARDINAL)382087;

Includes bibliographical references (pages 189-192) and index.Material considerations: Filament quality control ; Selecting and using a filament ; Temperature and speed settings ; Will my filament spool run out during my print? ; Filament materials ; Polylactic acid (PLA) ; Acrylonitrile butadiene styrene (ABS) ; Nylon ; T-glase (PET) ; Polycarbonate ; Thermoplastic elastomers (TPEs) ; Research filaments ; Multiple extruders ; Printing dissolvable support ; Dual-extruder printer with two different materials -- Case studies: Simple print ; Simple print example 1: heart pendant ; Simple print example 2: abstract base ; Printing a vase ; Printing a complex object with fine detail ; Printing with support ; Hand-building support ; Dual extruders ; Dual extruders: using one head for support material ; Dual extruders: models in two colors (or two materials) ; Speed settings.pt. 1. Open source 3D printers. A brief history of 3D printing: What is 3D printing? ; Nature's 3D printers ; Historical additive manufacturing ; Types of 3D printers ; The early days of robotic 3D printers ; The RepRap movement ; The rise of crowdfunding ; Enabling technologies ; The Arduino ; Open source code repositories ; A case study of the printer evolution -- The desktop 3D printer: Who uses consumer 3D printers? ; Types of filament-based consumer printers ; Cartesian printers ; Deltabots ; Kits vs. assembled printers ; 3D printer design considerations ; Filament ; Frame ; Build platform ; Extruder design ; Moving parts ; Control electronics ; Machine tool or computer peripheral? ; Safety and ventilation -- Open source: Open source infrastructure ; GNU licenses ; Wikis, forums, and open source repositories ; Open source pros and cons ; Meeting the open source 3D-printing community ; The maker movement ; Makerspaces and hackerspaces ; Contributing to the open source community.pt. 2. The 3D printing process. Making a 3D model: What makes a model printable on a 3D printer? ; 3D model file formats ; What does "watertight and manifold" mean? ; Scanning a model ; Consumer-level 3D scanners ; CT scanners ; Downloading and modifying existing models ; Models of everyday things ; Specialized databases ; Creating a new model ; Using a CAD program ; Programs for specific applications ; Design considerations ; Complexity is free: hardware as a service ; Speed vs. customization -- Slicing a 3D model: What is "slicing"? ; 3D printing as cooking ; Tools and techniques ; Starting a print and getting a model to stick to the platform ; Supporting and orienting a model ; Effects of layer height ; Speed ; Managing internal open space ; Getting started: how to slice open an object ; Slicing programs: Slic3r ; Alternative hosting and slicing programs -- Driving your printer : G-code: Controlling your 3D printer ; Understanding G-code ; Using host programs ; Repetier host ; MatterControl ; Octoprint ; When a print starts ; During a print ; When a print finishes normally ; Getting a part off the build platform ; Picking off support and cleaning up the print ; Restarting or shutting off the printer ; Manually controlling your printer ; Stopping a print ; Changing a filament ; Changing temperatures during a print ; Basic hardware troubleshooting ; Running from an SD card.pt. 3. 3D printing meets traditional prototyping. Moving to metal: The sand-cast process ; Sand-casting terminology ; Patterns made from PLA ; Filling the flask with sand ; Cutting sprues and runners ; Pouring in the metal ; Finishing the sand casting ; Planning ahead for better casting ; Adding draft to patterns ; Avoiding undercuts ; Layer orientation ; Shrinkage and clearances ; Printing your sprues? ; Investment casting ; Lost-PLA process ; Casting vs. printing in metal ; Finding casting services -- Large prints and post-processing: Printing computationally complex objects ; Printing physically big objects ; Objects that are too long for the build platform ; Objects that are too big in more than one dimension ; Gluing the pieces together ; Sanding, chemical smoothing, painting, and dyeing ; Sanding ; Smoothing and bonding ABS with acetone ; Painting ABS and PLA ; Dyeing nylon -- Troubleshooting: Clicking or grinding noises ; Environmental issues ; Drafts ; Ambient temperature ; Humidity ; Dust ; Printer internal alignment issues ; Prints not sticking to the build platform ; Clogged nozzle solutions ; Cold pull ; Wire brush bristle ; Extruder drive gear teeth clogged ; Eliminate stringing ; Software updates.pt. 4. Using your printer. Printers in the classroom: Teaching design, engineering, and art ; Hands-on history ; William Hand, Jr. boat hull ; Herreshoff cleat ; Reactions to the 3D prints ; Learning through re-creating history ; The special-needs student ; After-school activities ; Robotics clubs and teams ; DIY girls ; Young maker programs ; Career tech ed ; Early-adopter experiences -- Scientific visualization: Visualizing molecular biology ; Model accuracy considerations ; Example: 3D-printed models of six-helix DNA bundles ; Visualizing mathematical abstractions ; Parabola math manipulative ; Surfaces of revolution ; Sinusoids ; General surface modeling ; Other scientific uses of 3D printing -- Futures: Technology trends ; Extreme users ; Improving the user experience ; Faster printing ; Filament ; Emerging 3D-printing applications ; Printing food ; 3D printing in medicine ; The developing world ; The business of 3D printing ; Printer patent issues ; Hardware as a service -- Appendix A: typical printer settings: Slic3r typical settings ; Cura settings differences -- Appendix B: links and resources: A brief history of 3D printing ; The desktop 3D printer ; Open source ; Making a 3D model ; Slicing a 3D model ; Driving your printer: G-Code ; Material considerations ; Case studies ; Moving to metal ; Large prints and post-processing ; Troubleshooting ; Printers in the classroom ; Scientific visualization ; Futures ; Focusing on 3D printing.

Subjects: Three-dimensional printing.;

Available copies: 2 / Total copies: 2

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