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Ruby Best Practices
Increase Your Productivity - Write Better Code...
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The Legacy of Felix Klein
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JavaScript Allongé
Programming from Functions to Classes in ECMAScript 2015...
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Boundary Value Problems, Weyl Functions, and Differential Operators
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Variant Construction from Theoretical Foundation to Applications
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View Book →Complexity of LP in Terms of the Face Lattice
Let $X$ be a finite set in $Z^d$. We consider the problem of optimizing linear function $f(x) = c^T x$ on $X$, where $c\in Z^d$ is an input vector. We call it a problem $X$. A problem $X$ is related w...
View Book →On the gluing formula of real analytic torsion forms
In this paper we extend first the Bismut-Lott's analytic torsion form for flat vector bundles to the boundary case, then we establish its gluing formula on a smooth fibration under the assumption that...
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Algorithms for Decision Making
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View Book →Volterra and Integral Equations of Vector Functions
First published in 2019...
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Interface Oral Health Science 2016
Innovative Research on Biosis–Abiosis Intelligent Interface...
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Think Raku (Think Perl 6)
How to Think Like a Computer Scientist...
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Conventions 101
A Functional Approach to Teaching (and Assessing!) Grammar and Punctuation...
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Efficient Learning Machines
Theories, Concepts, and Applications for Engineers and System Designers...
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Platform Embedded Security Technology Revealed
Safeguarding the Future of Computing with Intel Embedded Security and Management Engine...
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Introduction to Python for Computational Science and Engineering
A beginner's guide...
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Writing Native Mobile Apps in a Functional Language Succinctly
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An Invitation to Statistics in Wasserstein Space
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A Philosophical Examination of Social Justice and Child Poverty
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View Book →A practical attack to Bouftass's cryptosystem
Recently, a new fast public key exchange protocol was presented by S. Bouftass. The protocol is based on the difficulty of inverting the function $F(x)=\lfloor (zx \mod 2^p)/ 2^q \rfloor$. In this pap...
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Optimizing software in C++
An optimization guide for Windows, Linux and Mac platforms...
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Etiology and Morphogenesis of Congenital Heart Disease
From Gene Function and Cellular Interaction to Morphology...
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Vertical D4-D2-D0 bound states on K3 fibrations and modularity
An explicit formula is derived for the generating function of vertical D4-D2-D0 bound states on smooth K3 fibered Calabi-Yau threefolds, generalizing previous results of Gholampour and Sheshmani. It i...
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Bio-based Building Skin
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Scalar curvature and holomorphy potentials
A holomorphy potential is a complex valued function whose complex gradient, with respect to some K\"ahler metric, is a holomorphic vector field. Given $k$ holomorphic vector fields on a compact comple...
View Book →Finite order differentiability properties, fixed points and implicit functions over valued fields
We prove an implicit function theorem for C^k-maps from arbitrary topological vector spaces over valued fields to Banach spaces (for k at least 2). As a tool, we show the C^k-dependence of fixed point...
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Topological vector spaces
First published in 2008...
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Calculus and analytic geometry
First published in 1951...
View Book →"Massless" vector field in de Sitter Universe
In the present work the massless vector field in the de Sitter (dS) space has been quantized. "Massless" is used here by reference to conformal invariance and propagation on the dS light-cone whereas ...
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Innovative Medicine
Basic Research and Development...
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The calculus, with analytic geometry
First published in 1967...
View Book →Automated generation and symbolic manipulation of tensor product finite elements
We describe and implement a symbolic algebra for scalar and vector-valued finite elements, enabling the computer generation of elements with tensor product structure on quadrilateral, hexahedral and t...
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Think OCaml
How to Think Like a (Functional) Programmer...
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Professor Frisby's Mostly Adequate Guide to Functional Programming
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View Book →Higher dimensional Frobenius problem and Lipschitz equivalence of Cantor sets
The higher dimensional Frobenius problem was introduced by a preceding paper [Fan, Rao and Zhang, Higher dimensional Frobenius problem: maximal saturated cones, growth function and rigidity, Preprint ...
View Book →Topological spaces,including a treatmentof multivalued functions, vector spaces and convexity
First published in 1963...
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Pro TBB
C++ Parallel Programming with Threading Building Blocks...
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Vector Partitions, Visible Points and Ramanujan Functions
First published in 2024...
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Functional Trigonometry
First published in 1961...
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Foundations of Quantum Theory
From Classical Concepts to Operator Algebras...
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Physical (A)Causality
Determinism, Randomness and Uncaused Events...
View Book →Weighted composition operators on spaces of analytic vector-valued Lipschitz functions
Let {\phi} be an analytic self-map of D and be an analytic operator-valued function on D, where D is the unit disk. We provide necessary and sufficient conditions for the boundedness and compactness o...
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European Citizenship after Brexit
Freedom of Movement and Rights of Residence...
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Smooth CoffeeScript
Effective CoffeeScript and the Beauty of Functional Programming...
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Understanding Machine Learning
From Theory to Algorithms...
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Programming for Computations - Python
A Gentle Introduction to Numerical Simulations with Python 3.6...
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Continuous Functions of Vector Variables
First published in 2002...
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Existence of Surface Smectic States of Liquid Crystals
The Landau-de Gennes model of liquid crystals is a functional acting on wave functions (order parameters) and vector fields (director fields). In a specific asymptotic limit of the physical parameters...
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Annotated Algorithms in Python
With applications in Physics, Biology, and Finance...
View Book →Using Sentence Plausibility to Learn the Semantics of Transitive Verbs
The functional approach to compositional distributional semantics considers transitive verbs to be linear maps that transform the distributional vectors representing nouns into a vector representing a...
View Book →Ordinary Differential Equation Methods For Markov Decision Processes and Application to Kullback-Lei
A new approach to computation of optimal policies for MDP (Markov decision process) models is introduced. The main idea is to solve not one, but an entire family of MDPs, parameterized by a weighting ...
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Handbook of Contact Mechanics
Exact Solutions of Axisymmetric Contact Problems...
View Book →Partition function of a bubble formed in double stranded DNA
We calculate the entropic part of partition function of a bubble embedded in a double stranded DNA (dsDNA) by considering the total weights of possible configurations of a system of two single strande...
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Functional Somatic Symptoms in Children and Adolescents
A Stress-System Approach to Assessment and Treatment...
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Foundations of Machine Learning
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View Book →Scaling in erosion of landscapes: Renormalization group analysis of a model with turbulent mixing
The model of landscape erosion, introduced in [{\it Phys. Rev. Lett.} {\bf 80}: 4349 (1998); {\it J. Stat. Phys.} {\bf 93}: 477 (1998)] and modified in [{\it Theor. Math. Phys.} - in press; arXiv:1602...
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Hardy Inequalities on Homogeneous Groups
100 Years of Hardy Inequalities...
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Programming for Computations - MATLAB/Octave
A Gentle Introduction to Numerical Simulations with MATLAB/Octave...
View Book →Optimality conditions in convex multiobjective SIP
The purpose of this paper is to characterize the weak efficient solutions, the efficient solutions, and the isolated efficient solutions of a given vector optimization problem with finitely many conve...
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High Density Lipoproteins
From Biological Understanding to Clinical Exploitation...
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Gradientology: Foundations of the Primordial Triad — Treatise XI: The Derivation of Physical Laws
This treatise completes the Derivation of Necessity by rigorously deriving the three fundamental pillars of physics from the Gradientology framework. We first derive Gravity not as a fundamental for...
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Intel Xeon Phi Coprocessor Architecture and Tools
The Guide for Application Developers...
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Optimization by Vector Space Methods
First published in 1968...
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Bayesian Methods in the Search for MH370
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Complex vector functional equations
First published in 2001...
View Book →Analytic cliffordian functions
In classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebras. The structures o...
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$H^\infty$ functional calculus and maximal inequalities for semigroups of contractions on vector-val
Let $\{T_t\}_{t>0}$ be a strongly continuous semigroup of positive contractions on $L_p(X,\mu)$ with $1 0}\frac1t\Big|\int_0^tT_s(f(\cdot,\omega))(x)ds\Big|,\quad (x,\omega)\in X\times\Omega.$$ Then t...
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The Haskell School of Music
From Signals to Symphonies...
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Remote Sensing of Plant Biodiversity
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Espaces topologiques, fonctions multivoques
First published in 1963...
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Quadrature-Based Vector Fitting: Implications For H2 System Approximation
Vector Fitting is a popular method of constructing rational approximants designed to fit given frequency response measurements. The original method, which we refer to as VF, is based on a least-square...
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Projection-Based Clustering through Self-Organization and Swarm Intelligence
Combining Cluster Analysis with the Visualization of High-Dimensional Data...
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Introduction to vector functions
First published in 1967...
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How to Think Like a Computer Scientist
Learning with Python...
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Applied Bioinformatics
An Introduction...
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Analysis for Computer Scientists
Foundations, Methods, and Algorithms...
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Calculus of vector functions
First published in 1968...
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Ray Tracing Gems
High-Quality and Real-Time Rendering with DXR and Other APIs...
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Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models
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Data Parallel C++
Mastering DPC++ for Programming of Heterogeneous Systems using C++ and SYCL...
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Laravel Collections Unraveled
Master Eloquent collections in Larvel 5...
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Asterisk: The Future of Telephony
Join the Open Source PBX Revolution...
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