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Topic Review
Biography
Topic Review
Proofs of Fermat's Theorem on Sums of Two Squares
Fermat's theorem on sums of two squares asserts that an odd prime number p can be expressed as with integer x and y if and only if p is congruent to 1 (mod 4). The statement was announced by Girard in 1625, and again by Fermat in 1640, but neither supplied a proof. The "only if" clause is easy: a perfect square is congruent to 0 or 1 modulo 4, hence a sum of two squares is congruent to 0, 1, or 2. An odd prime number is congruent to either 1 or 3 modulo 4, and the second possibility has just been ruled out. The first proof that such a representation exists was given by Leonhard Euler in 1747 and was complicated. Since then, many different proofs have been found. Among them, the proof using Minkowski's theorem about convex sets and Don Zagier's short proof based on involutions have appeared.
4.3K
11 Nov 2022
Topic Review
List of Instruction Sets
A list of computer central processor instruction sets: (By alphabetical order by its manufacturer.)
4.3K
04 Nov 2022
Topic Review
PC5-Based Cellular-V2X Evolution and Deployment
C-V2X (Cellular Vehicle-to-Everything) is a state-of-the-art wireless technology used in autonomous driving and intelligent transportation systems (ITS).
4.3K
19 Feb 2021
Topic Review
Stock Market Prediction
Stock Market Prediction (SMP) is an example of time-series forecasting that promptly examines previous data and estimates future data values. Financial market prediction has been a matter of worry for analysts in different disciplines, including economics, mathematics, material science, and computer science. Driving profits from the trading of stocks is an important factor for the prediction of the stock market.
4.3K
09 Dec 2021
Topic Review
Art
Art is a diverse range of human activities in creating visual, auditory or performing artifacts (artworks), expressing the author's imaginative, conceptual idea, or technical skill, intended to be appreciated for their beauty or emotional power. In their most general form these activities include the production of works of art, the criticism of art, the study of the history of art, and the aesthetic dissemination of art. Music, theatre, film, dance, and other performing arts, as well as literature and other media such as interactive media, are included in a broader definition of art or the arts. Until the 17th century, art referred to any skill or mastery and was not differentiated from crafts or sciences. In modern usage after the 17th century, where aesthetic considerations are paramount, the fine arts are separated and distinguished from acquired skills in general, such as the decorative or applied arts. Though the definition of what constitutes art is disputed and has changed over time, general descriptions mention an idea of imaginative or technical skill stemming from human agency and creation. The nature of art and related concepts, such as creativity and interpretation, are explored in a branch of philosophy known as aesthetics.
4.2K
07 Nov 2022
Topic Review
Deep Learning Based Speech Synthesis
Speech synthesis, also known as text-to-speech (TTS), has attracted increasingly more attention. Recent advances on speech synthesis are overwhelmingly contributed by deep learning or even end-to-end techniques which have been utilized to enhance a wide range of application scenarios such as intelligent speech interaction, chatbot or conversational artificial intelligence (AI). For speech synthesis, deep learning based techniques can leverage a large scale of <text, speech> pairs to learn effective feature representations to bridge the gap between text and speech, thus better characterizing the properties of events.
4.2K
08 Apr 2021
Topic Review
Independent Video Game Development
Independent video game development, or indie game development, is the video game development process of creating indie games; these are video games, commonly created by individual or small teams of video game developers and usually without significant financial support of a video game publisher or other outside source. These games may take years to be built from the ground up or can be completed in a matter of days or even hours depending on complexity, participants, and design goal. Driven by digital distribution, the concept of independent video game development has spawned an "indie" movement. The increase in popularity of independent games has allowed increased distribution on popular gaming platforms such as the PlayStation Network, Nintendo eShop, Xbox Live and Steam.
4.2K
21 Nov 2022
Topic Review
Remote Attestation
Remote Attestation (RA) is a security mechanism to remotely detect adversarial presence on untrusted devices in order to guarantee their trustworthiness. RA runs as a two-party security protocol in which a trusted party (i.e., verifier) assures the integrity of the untrusted remote device (i.e., prover). Software-based RA approaches aim at verifying device integrity without relying on specialized hardware components. Despite their limited security guarantees, software-based RA approaches bring opportunities in attesting legacy and resource-constrained Internet of Things (IoT) devices, in which the presence of a hardware root-of-trust is not always a realistic assumption.
4.1K
31 Jan 2022
Topic Review
Anki
Anki (/ˈɒŋkiː/; Japanese: [aŋki]) is a free and open-source flashcard program using spaced repetition, a technique from cognitive science for fast and long-lasting memorization. "Anki" (暗記) is the Japanese word for "memorization". The SM-2 algorithm, created for SuperMemo in the late 1980s, forms the basis of the spaced repetition methods employed in the program. Anki's implementation of the algorithm has been modified to allow priorities on cards and to show flashcards in order of their urgency. The cards are presented using HTML and may include text, images, sounds, videos, and LaTeX equations. The decks of cards, along with the user's statistics, are stored in the open SQLite format.
4.1K
01 Dec 2022
Topic Review
Technology Forecasting
Technology forecasting attempts to predict the future characteristics of useful technological machines, procedures or techniques. Researchers create technology forecasts based on past experience and current technological developments. Like other forecasts, technology forecasting can be helpful for both public and private organizations to make smart decisions. By analyzing future opportunities and threats, the forecaster can improve decisions in order to achieve maximum benefits. Today, most countries are experiencing huge social and economic changes, which heavily rely on technology development. By analyzing these changes, government and economic institutions could make plans for future developments. However, not all of historical data can be used for technology forecasting, forecasters also need to adopt advanced technology and quantitative modeling from experts’ researches and conclusions.
4.1K
27 Oct 2022
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