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Minimal surfaces. --- Plateau's problem. --- Differential topology. --- Differential topology --- Minimal surfaces --- Plateau's problem --- Minimal surface problem --- Plateau problem --- Problem of Plateau --- Surfaces, Minimal --- Maxima and minima --- Geometry, Differential --- Topology

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Minimal surfaces. --- Plateau's problem. --- Index theorems. --- Surfaces minimales --- Plateau, problème de --- Plateau, problème de --- Surfaces minimales. --- Plateau, Problème de. --- Théorèmes d'indices. --- Index theorems --- Minimal surfaces --- Plateau's problem --- Minimal surface problem --- Plateau problem --- Problem of Plateau --- Surfaces, Minimal --- Maxima and minima --- Differential operators --- Global analysis (Mathematics) --- Index theory (Mathematics) --- Manifolds (Mathematics)

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Although scientific computing is very often associated with numeric computations, the use of computer algebra methods in scientific computing has obtained considerable attention in the last two decades. Computer algebra methods are especially suitable for parametric analysis of the key properties of systems arising in scientific computing. The expression-based computational answers generally provided by these methods are very appealing as they directly relate properties to parameters and speed up testing and tuning of mathematical models through all their possible behaviors. This book contains 8 original research articles dealing with a broad range of topics, ranging from algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers over methods for certifying the isolated zeros of polynomial systems to computer algebra problems in quantum computing.

superposition --- SU(2) --- pseudo-remainder --- interval methods --- sparse polynomials --- element order --- Henneberg-type minimal surface --- timelike axis --- combinatorial decompositions --- sparse data structures --- mutually unbiased bases --- invariant surfaces --- projective special unitary group --- Minkowski 4-space --- free resolutions --- Dini-type helicoidal hypersurface --- linearity --- integrability --- Galois rings --- minimum point --- entanglement --- degree --- pseudo-division --- computational algebra --- polynomial arithmetic --- projective special linear group --- normal form --- Galois fields --- Gauss map --- implicit equation --- number of elements of the same order --- Weierstrass representation --- Lotka–Volterra system --- isolated zeros --- polynomial modules --- over-determined polynomial system --- simple Kn-group --- sum of squares --- four-dimensional space

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Additive manufacturing (AM) is continuously improving and offering innovative alternatives to conventional manufacturing techniques. The advantages of AM (design freedom, reduction in material waste, low-cost prototyping, etc.) can be exploited in different sectors by replacing or complementing traditional manufacturing methods. For this to happen, the combination of design, materials and technology must be deeply analyzed for every specific application. Despite the continuous progress of AM, there is still a need for further investigation in terms of design and applications to boost AM's implementation in the manufacturing industry or even in other sectors where short and personalized series productions could be useful, such as the medical sector. This Special Issue gathers a variety of research articles (12 peer-reviewed papers) involving the design and application of AM, including innovative design approaches where AM is applied to improve conventional methods or currently used techniques, design and modeling methodologies for specific AM applications, design optimization and new methods for the quality control and calibration of simulation methods.

4D printing --- material extrusion --- shape changing behavior --- shape memory polymers --- print pattern --- infill density --- polylactic acid --- SLM --- defocusing --- IN 625 --- melt pool --- tensile testing --- density --- selective laser melting --- powder spreading defect --- machine vision --- classifier --- finite element thermal analysis --- model calibration --- thermographic image --- bead on plate test --- Bayesian optimization --- nickel-based superalloy --- tissue engineering --- scaffold --- material extrusion additive manufacturing --- 3D geometry modelling --- finite element analysis --- mechanical properties --- additive manufacturing --- closed impeller --- MPFL pumps --- balancing --- non-destructive testing --- triply periodic minimal surface --- 316 L stainless steel --- energy absorption --- deformation mechanism --- flexible pressure sensor --- microstructure --- 3D printing --- composite film --- stress shielding --- total hip replacement --- femoral component --- lattice --- 3d printing --- aseptic loosening --- bone remodelling --- internal structures --- biomimicry --- 15-5 PH stainless steel --- in-situ neutron diffraction --- low-cycle fatigue --- martensite transformation --- structural joints --- aging --- ABS --- PETG --- PLA --- aluminum --- polymer rheology --- thermal joining --- topological optimization --- hybrid technology --- investment casting --- n/a