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"Symbols"
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Reading map keys
Common map key symbols are discussed alongside full-color examples of many kinds of maps and keys to guide readers through the use and importance of each.
Book
Fredholm index of Toeplitz pairs with \\(H^{\\infty }\\) symbols
In the present paper, we characterize the Fredholmness of Toeplitz pairs on Hardy space over the bidisk with the bounded holomorphic symbols, and hence, we obtain the index formula for such Toeplitz pairs. The key to obtain the Fredholmness of such Toeplitz pairs is the \\(L^p\\) solution of Corona Problem over \\(\\mathbb {D}^2\\).
Journal Article
Compass rose and cardinal directions
Detailed examples lead readers through using a compass rose on a map. Full-color images accompany important map skills, engaging readers with content consistent with the social studies curriculum.
Book
Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We
then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of
eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume
and the dynamics of their geodesic flows.
eBook
IMA–CNMNC approved mineral symbols
Several text symbol lists for common rock-forming minerals have been published over the last 40 years, but no internationally agreed standard has yet been established. This contribution presents the first International Mineralogical Association (IMA) Commission on New Minerals, Nomenclature and Classification (CNMNC) approved collection of 5744 mineral name abbreviations by combining four methods of nomenclature based on the Kretz symbol approach. The collection incorporates 991 previously defined abbreviations for mineral groups and species and presents a further 4753 new symbols that cover all currently listed IMA minerals. Adopting IMA–CNMNC approved symbols is considered a necessary step in standardising abbreviations by employing a system compatible with that used for symbolising the chemical elements.
Journal Article
Myths of branding : a brand is just a logo, and other popular misconceptions
\"A brand is just a logo and a way of charging you more for a product- everyone knows that, don't they? After all, there is no such thing as brand loyalty, and isn't branding all fluff and art, devoid of rigour and science? These myths are all surprisingly entrenched, yet could not be further from the truth. Myths of Branding debunks the most popular misconceptions and replaces them with the reality of what it's really like to work in the world of branding and why it's such an important and effective industry. Branding experts Simon Bailey and Andy Milligan explore the misguided, mistaken and blatantly false myths that abound in the branding arena, using fascinating examples from the world's leading brands and foremost branding agencies. Myths of Branding will give you a deeper and sharper understanding of the realities of branding and brand management.\"--Back cover.
Book
Machine learning models for mathematical symbol recognition: A stem to stern literature analysis
Given the ubiquity of handwriting and mathematical content in human transactions, machine recognition of handwritten mathematical text and symbols has become a domain of great practical scope and significance. Recognition of mathematical expression (ME) has remained a challenging and emerging research domain, with mathematical symbol recognition (MSR) as a requisite step in the entire recognition process. Many variations in writing styles and existing dissimilarities among the wide range of symbols and recurring characters make the recognition tasks strenuous even for Optical Character Recognition. The past decade has witnessed the emergence of recognition techniques and the peaking interest of several researchers in this evolving domain. In light of the current research status associated with recognizing handwritten math symbols, a systematic review of the literature seems timely. This article seeks to provide a complete systematic analysis of recognition techniques, models, datasets, sub-stages, accuracy metrics, and accuracy details in an extracted form as described in the literature. A systematic literature review conducted in this study includes pragmatic studies until the year 2021, and the analysis reveals Support Vector Machine (SVM) to be the most dominating recognition technique and symbol recognition rate to be most frequently deployed accuracy measure and other interesting results in terms of segmentation, feature extraction and datasets involved are vividly represented. The statistics of mathematical symbols-related papers are shown, and open problems are identified for more advanced research. Our study focused on the key points of earlier research, present work, and the future direction of MSR.
Journal Article
Logos, letterheads and business cards : design for profit
A useful, inspirational book aimed at graphic design students and practising designers, examining the most successful logo, letterhead and business card designs and how they were created.
Eisenstein cocycles in motivic cohomology
Several authors have studied homomorphisms from first homology groups of modular curves to $K_2(X)$, with $X$ either a cyclotomic ring or a modular curve. These maps send Manin symbols in the homology groups to Steinberg symbols of cyclotomic or Siegel units. We give a new construction of these maps and a direct proof of their Hecke equivariance, analogous to the construction of Siegel units using the universal elliptic curve. Our main tool is a $1$-cocycle from $\\mathrm {GL}_2(\\mathbb {Z})$ to the second $K$-group of the function field of a suitable group scheme over $X$, from which the maps of interest arise by specialization.
Journal Article