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3/2015, Lecture Notes in Computer Science, ISBN 3662464462, Volume 9020
.... We propose a functional encryption scheme for the inner-product functionality, meaning that decrypting an encrypted vector \documentclass[12pt]{minimal} \usepackage... 
Functional Encryption | Inner-Product | Generic Constructions | Inner-product | Generic constructions | Functional encryption
Book Chapter
Journal of cryptology, ISSN 0933-2790, 4/2013, Volume 26, Issue 2, pp. 191 - 224
Journal Article
IEEE Transactions on Software Engineering, ISSN 0098-5589, 12/2016, Volume 42, Issue 12, pp. 1162 - 1177
.... Using a multiple-case case study research approach, we analyze the problems that three major software development organizations were facing in their product line engineering efforts... 
open source | platform-based product engineering | Collaboration | product families | case study research | Product design | Software product lines | Inner source | open collaboration | product line engineering | Best practices | Open source software | Engineering, Electrical & Electronic | Engineering | Computer Science, Software Engineering | Technology | Computer Science | Science & Technology
Journal Article
Neurocomputing (Amsterdam), ISSN 0925-2312, 05/2017, Volume 237, pp. 59 - 70
.... The proposed algorithm firstly defines inner product operators to mathematically describe and manipulate spike trains, and then solves the problems of error function construction and backpropagation... 
Backpropagation algorithm | Multilayer feedforward network | Supervised learning | Inner products of spike trains | Spiking neural networks | Computer Science, Artificial Intelligence | Technology | Computer Science | Science & Technology | Neurosciences | Algorithms | Data mining | Neural networks
Journal Article
The Ramanujan journal, ISSN 1382-4090, 11/2016, Volume 41, Issue 1, pp. 13 - 29
.... We also show that their holomorphic coefficients can be given in terms of regularized inner products of weight zero weakly holomorphic forms. 
Modular functions | Functions of a Complex Variable | Field Theory and Polynomials | Mathematics | 11F30 | 11F41 | Fourier coefficients | Harmonic forms | 11F12 | Maass forms | Fourier Analysis | Number Theory | Combinatorics | Regularized inner products | Physical Sciences | Science & Technology | Regularization
Journal Article
Theoretical computer science, ISSN 0304-3975, 03/2017, Volume 667, pp. 16 - 50
Functional encryption (FE) is a noble cryptographic paradigm which enables delegation of computations on private sensitive data to external untrustworthy... 
Inner product | Asymmetric bilinear group | Functional encryption | Function privacy | Computer Science, Theory & Methods | Technology | Computer Science | Science & Technology
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 08/2015, Volume 284, pp. 202 - 215
Orthogonal polynomials on the product domain [a1,b1]×[a2,b2] with respect to the inner product 〈f,g〉S=∫a1b1∫a2b2∇f(x,y)⋅∇g(x,y)w1(x)w2(y)dxdy+λf(c1,c2)g(c1,c2... 
Product domain | Sobolev inner products | Classical orthogonal polynomials | Orthogonal polynomials in two variables | 42C10 | MSC 33C50 | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Construction | Mathematical models | Polynomials | Computation | Weight function
Journal Article
2010, Lecture Notes in Mathematics, ISBN 3642051359, Volume 1986, 370
Partial Inner Product Spaces offers a systematic analysis of PIP spaces. Numerous examples are described in detail in addition to applications of PIP spaces... 
Inner product spaces | Information and Communication, Circuits | Operator Theory | Mathematics | Functional Analysis | Quantum Field Theories, String Theory | Mathematics and Statistics
eBook
Theoretical computer science, ISSN 0304-3975, 09/2019, Volume 783, pp. 22 - 40
.... This security requirement is called full function privacy. In this paper, we focus on function-private FE for inner product functionality in the private key setting... 
Inner product encryption | Function privacy | Functional encryption | Computer Science, Theory & Methods | Technology | Computer Science | Science & Technology
Journal Article
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2013, Volume 34, Issue 2, pp. 338 - 344
Given two floating-point vectors x, y of dimension n and assuming rounding to nearest, we show that if no underflow or overflow occurs, any evaluation order for an inner product returns a floating-point number (r... 
Unit in the first place | Rounding error analysis | Floating-point inner product | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Errors | Approximation | Mathematical analysis | Constrictions | Floating point arithmetic | Vectors (mathematics) | Rounding | Arithmetic | Numerical Analysis | Computer Arithmetic | Computer Science
Journal Article
IEEE transactions on circuits and systems. II, Express briefs, ISSN 1558-3791, 03/2020, Volume 67, Issue 3, pp. 541 - 545
Journal Article
Linear algebra and its applications, ISSN 0024-3795, 10/2013, Volume 439, Issue 8, pp. 2448 - 2452
In this paper we prove that a finite dimensional real normed linear space X is an inner product space iff for any linear operator T on X, T attains its norm at e1,e2... 
Inner product spaces | Orthogonality | Linear operators | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Linear & multilinear algebra, ISSN 0308-1087, 02/2019, Volume 67, Issue 2, pp. 337 - 347
Some improvements of the celebrated Schwarz inequality in complex inner product spaces are given... 
Inner product spaces | Schwarz's inequality | 46C05 | Schwarz’s inequality | 26D15 | Physical Sciences | Mathematics | Science & Technology | Complex numbers
Journal Article
2006, Operator theory, advances and applications, ISBN 9783764375157, Volume 163, xxxii, 379
A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces... 
Differential equations, Linear | Inner product spaces | Linear operators
Book
1987, Mathematics and its applications., ISBN 9789027721822, Volume 25., xv, 895
Book
Synlett, ISSN 0936-5214, 05/2013, Volume 24, Issue 10, pp. 1229 - 1232
Abstract Pentafluorophenyl triazolium carbenes, widely used in NHC catalysis, can decompose by several mechanisms. Under high concentration conditions, the... 
cluster | decomposition | pentafluorophenyl N-heterocyclic carbene | spirocyclic oxindole | inner salt | Pentafluorophenyl N-heterocyclic carbene
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 08/2014, Volume 55, Issue 2, pp. 559 - 567
A simple and explicit expression is given for the inner product of (higher order) derivatives of multivariate box splines and their translates... 
Integration | Box splines | Derivatives | Multivariate B-splines | Inner products | Physical Sciences | Technology | Computer Science | Mathematics | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Computer science
Journal Article