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الهذيان والأحلام في قصة \غراديفا\ جنسن
يبدأ فرويد بتحليل قصة \"غراديفا\" التي تتناول شابا عالم آثار يقع في حب صورة محفورة على حجر أثري. هذا الحب يتطور إلى نوع من الهوس، حيث يبدأ في رؤية الفتاة التي في الصورة كشخصية حقيقية تعيش في روما القديمة، الهذيان والأحلام: يركز فرويد على تفسير أحلام بطل القصة وهذياناته، موضحا كيف تعبر هذه التجارب عن رغبات مكبوتة وصراعات نفسية داخلية. يستخدم فرويد هذه القصة كحالة لدراسة كيفية تفاعل العقل اللاواعي مع العالم الخارجي من خلال الرموز والأحلام. الرمزية في الأدب : يناقش فرويد كيفية استخدام الرموز في الأدب للتعبير عن المحتوى اللاواعي، ويربط بين الأحلام والهذيان والخيالات الأدبية، يرى فرويد أن جنسن قدم في \"غراديفا\" تصويرا دقيقا للعمليات النفسية التي تحدث في اللاوعي، التطبيقات النفسية: يقدم فرويد تحليلا متعمقا للنفس البشرية وكيفية إسقاط الهواجس والمخاوف الداخلية على العالم الخارجي. يوضح كيف أن الأدب يمكن أن يكون وسيلة لاستكشاف العواطف والصراعات التي قد تكون مكبوتة أو غير مدركة.
BOOK
On a Generalization of the Jensen–Shannon Divergence and the Jensen–Shannon Centroid
The Jensen–Shannon divergence is a renown bounded symmetrization of the Kullback–Leibler divergence which does not require probability densities to have matching supports. In this paper, we introduce a vector-skew generalization of the scalar α -Jensen–Bregman divergences and derive thereof the vector-skew α -Jensen–Shannon divergences. We prove that the vector-skew α -Jensen–Shannon divergences are f-divergences and study the properties of these novel divergences. Finally, we report an iterative algorithm to numerically compute the Jensen–Shannon-type centroids for a set of probability densities belonging to a mixture family: This includes the case of the Jensen–Shannon centroid of a set of categorical distributions or normalized histograms.
Journal Article
Georg Jensen : Scandinavian design for living
\"This beautifully illustrated catalogue explores how Georg Jensen silver has expanded the boundaries of modern style, changing the look of twentieth-century homes and spreading Scandinavian design around the world. Design for Everyday Living is the first scholarly treatment of Georg Jensen to approach the firm's output in an analytical way, situating it in the context of twentieth-century design history and focusing on the firm's unique evolution and global influence. This book is geared to a wide audience of interested nonspecialists and design historians rather than to a narrower readership of silver collectors. It is also innovative in that it focuses on the story of the firm rather than solely on the career of its founder. The essays are all original and include a contribution from Thomas Thulstrup, the leading expert on Georg Jensen silver. The book also benefits from a close collaboration with the Jensen firm, which has allowed us access to images and archival materials published here for the first time\"-- Provided by publisher.
Book
On the Jensen–Shannon Symmetrization of Distances Relying on Abstract Means
The Jensen–Shannon divergence is a renowned bounded symmetrization of the unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler divergence to the average mixture distribution. However, the Jensen–Shannon divergence between Gaussian distributions is not available in closed form. To bypass this problem, we present a generalization of the Jensen–Shannon (JS) divergence using abstract means which yields closed-form expressions when the mean is chosen according to the parametric family of distributions. More generally, we define the JS-symmetrizations of any distance using parameter mixtures derived from abstract means. In particular, we first show that the geometric mean is well-suited for exponential families, and report two closed-form formula for (i) the geometric Jensen–Shannon divergence between probability densities of the same exponential family; and (ii) the geometric JS-symmetrization of the reverse Kullback–Leibler divergence between probability densities of the same exponential family. As a second illustrating example, we show that the harmonic mean is well-suited for the scale Cauchy distributions, and report a closed-form formula for the harmonic Jensen–Shannon divergence between scale Cauchy distributions. Applications to clustering with respect to these novel Jensen–Shannon divergences are touched upon.
Journal Article
Kanye West ownes me $300 : and other true stories from a white rapper who almost made it big
\"The comedian, writer and co-owner of Gallery 1988 traces his heyday experiences as rapper \"Hot Karl,\" describing the childhood experiences that shaped his early creative life, his relationship with rap partner Rickye and his recordings with such famous artists as Kanye West and will.i.am.,\"--NoveList.
Book
Hermite–Hadamard–Mercer Type Inequalities for Fractional Integrals
In the present note, we proved Hermite–Hadamard–Mercer inequalities for fractional integrals and we established some new fractional inequalities connected with the right and left-sides of Hermite–Hadamard–Mercer type inequalities for differentiable mappings whose derivatives in absolute value are convex.
Journal Article
A Standardized Project Gutenberg Corpus for Statistical Analysis of Natural Language and Quantitative Linguistics
The use of Project Gutenberg (PG) as a text corpus has been extremely popular in statistical analysis of language for more than 25 years. However, in contrast to other major linguistic datasets of similar importance, no consensual full version of PG exists to date. In fact, most PG studies so far either consider only a small number of manually selected books, leading to potential biased subsets, or employ vastly different pre-processing strategies (often specified in insufficient details), raising concerns regarding the reproducibility of published results. In order to address these shortcomings, here we present the Standardized Project Gutenberg Corpus (SPGC), an open science approach to a curated version of the complete PG data containing more than 50,000 books and more than 3 × 10 9 word-tokens. Using different sources of annotated metadata, we not only provide a broad characterization of the content of PG, but also show different examples highlighting the potential of SPGC for investigating language variability across time, subjects, and authors. We publish our methodology in detail, the code to download and process the data, as well as the obtained corpus itself on three different levels of granularity (raw text, timeseries of word tokens, and counts of words). In this way, we provide a reproducible, pre-processed, full-size version of Project Gutenberg as a new scientific resource for corpus linguistics, natural language processing, and information retrieval.
Journal Article
Jensen polynomials for the Riemann zeta function and other sequences
In 1927, Pólya proved that the Riemann hypothesis is equivalent to the hyperbolicity of Jensen polynomials for the Riemann zeta function ζ(s) at its point of symmetry. This hyperbolicity has been proved for degrees d ≤ 3. We obtain an asymptotic formula for the central derivatives ζ
(2n)(1/2) that is accurate to all orders, which allows us to prove the hyperbolicity of all but finitely many of the Jensen polynomials of each degree. Moreover, we establish hyperbolicity for all d ≤ 8. These results follow from a general theorem which models such polynomials by Hermite polynomials. In the case of the Riemann zeta function, this proves the Gaussian unitary ensemble random matrix model prediction in derivative aspect. The general theorem also allows us to prove a conjecture of Chen, Jia, and Wang on the partition function.
Journal Article