Products related to Algebraic:
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Microsoft SQL Server 2022 Enterprise 2 Core
Microsoft SQL Server 2022 Enterprise Edition is the most powerful and feature-rich version of SQL Server. Designed specifically for mission-critical workloads, it offers advanced scalability, security and performance. With support for up to 640 cores and unlimited memory, SQL Server Enterprise Edition can handle the most demanding data workloads. Further, it offers advanced security features such as Always Encrypted and Advanced Threat Detection, as well as data warehousing and business intelligence features such as real-time operational analytics, data lakes, and advanced analytics with support for R and Python. SQL Server Enterprise Edition can be purchased as a core-based license, meaning it is licensed on a per-core basis. This version includes a license for two cores, which can be used for one or more servers as needed. There are several benefits to using a Microsoft SQL Server 2022 Enterprise 2 Core license: Scalability: SQL Server Enterprise Edition can scale up to 640 cores, making it ideal for large enterprises with mission-critical data workloads. Advanced security: SQL Server Enterprise Edition includes advanced security features such as Always Encrypted and Advanced Threat Detection that protect your data from cyber threats. Data Warehousing and Business Intelligence: SQL Server Enterprise Edition includes data warehousing and business intelligence capabilities such as real-time operational analytics, data lakes, and advanced analytics with support for R and Python. Unlimited Memory: SQL Server Enterprise Edition supports unlimited memory, making it well-suited for large amounts of data. Flexible: A 2-core license can be used for a single server or multiple servers, depending on your needs. Microsoft SQL Server 2022 Enterprise 2 Core license is a good choice for large enterprises with mission-critical data workloads that require a powerful and scalable database platform with advanced security, data warehousing, and business intelligence capabilities. Buying SQL Server 2022 Standard or Enterprise 2 Core: the differences SQL Server 2022 Standard Edition and Enterprise Edition are both versions of Microsoft's database management system designed for enterprise environments. Both editions offer support for up to 2 cores. Here are some key differences between the two editions: Programming language and platform Features Standard Enterprise UTF-8 support, support for SQL Server Java extension ✓ ✓ Kubernetes support - ✓ Azure support Features Standard Enterprise HA/DR on Azure SQL: Support for High-Availability and Disaster Recovery in the Azure Cloud - ✓ Azure Synapse Link: Get real-time analytics on operations-related data in SQL Server 2022 - ✓ Azure Purview Integration: Apply Microsoft Purview access policies to any hybrid SQL Server instance - ✓ Authentication via Azure Active Directory - ✓ Management, dashboards, and tools Functions Standard Enterprise Programmability and development tools: T-SQL, SQL CLR, Service Broker, JSON, XML, chart data support ✓ ✓ +Manageability: Management Studio, policy-based management ✓ ✓ Advanced Data Integration: Fuzzy Grouping and Lookups - ✓ Data marts and data warehousing: partitioning, data compression, data change capture, database snapshots ✓ ✓ Enterprise Data Management: Master Data Services, Data Quality Services - ✓ Basic Data Integration: SQL Server Integration Services, Integrated Connectors ✓ ✓ Azure Data Studio to manage SQL Server incl. support for T-SQL with a notebook ✓ ✓ Access to Power BI report server, a Software Assurance perk - ✓ Intelligent Database Features Standard Enterprise Unified AI platform: train and operationalize models with SQL Server ML Service ✓ ✓ Basic Machine Learning integration: connectivity with open source Python and -R, limited parallelism ✓ ✓ Advanced Machine Learning integration: full parallelism of R and Python analytics and ability to run on GPUs - ✓ Advanced Machine Learning Integration: Full Parallelism of R and Python Analytics and Possibility of Execution on GPUs - ✓ Machine Learning for Hadoop/Spark and Machine Learning for Linux, a Software Assurance perk - ✓ Security Features Standard Enterprise Vulnerability Analysis ✓ ✓ Data identification and classification - ✓ Basic Reporting and Analytics - ✓ Compatibility Reporting with SQL Server Audit ✓ ✓ Advanced security: Always Encrypted, row-level security, data masking, differential auditing ✓ ✓ Always Encrypted with Secure Enclaves - ✓ Transparent Data Encryption ✓ ✓ Mobile Reports and KPIs - ✓ Ledger: functions for tamper-proof evidence in databases. Cryptographic proof to third parties that the data has not been tampered with - ✓ Integration of Microsoft Defender for Cloud - ✓ Performance and availability Functions Standard Enterprise Free asynchronous replica on Azure virtual machines for disaster recovery ✓ ✓ In-memory database: memory-optimized tempdb - ✓ Advanced OLTP: in-memory OLTP, operational analysis ✓ ✓ In-mem...
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Skylum Aurora HDR 2020
The reliable solution for stunning photos with Skylum Aurora HDR 2020 - 5 devices - PC/MAC Only rarely do the photos you've just taken live up to your own high expectations. Certain areas are too dark or too bright, there is a lot of noise over the image, colors look much less vivid than in reality and so on. To get this problem under control, Skylum Aurora HDR 2020 exists: The software allows the editing of high-quality HDR photographs, which can be adjusted in numerous details to one's own taste. The program is aimed at both ambitious hobby users and professional users who want to get the last percent of quality out of their shots. For this reason, the application is compatible with both macOS and all current versions of Windows. The core of the software and all its functions is the powerful artificial intelligence, which automates many work steps and completes these tasks better than professional users could. Through intelligent noise reduction, for example, the application removes the noise that can overlay the image, especially in poor lighting conditions. The effect that often accompanies this, that details lose sharpness, does not occur in this software. Additional sharpening filters in Skylum Aurora HDR 2020 also detect every little detail and turn a meadow whose grass growth looks like a large, green mass in the original photo into a crisp, detailed result. This brings new detail and a depth to the photos that brings the subject to life. Contrast or brightness changes may be limited locally by users who buy Skylum Aurora HDR 2020 . Already good-looking areas are thus left untouched, while low-contrast sections are significantly embellished. This is also done automatically via a simple slider that determines how much impact the AI should have. If necessary, functions such as masks, layers and layers also serve to manually influence a photo - from the smallest groups of pixels to the entire photo. In this respect, the program is in no way inferior to other software in this industry. The program also supports RAW formats, as they are made by DSLRs and DSLMs, which guarantees the best possible quality in image editing. Those who do not want to deal with the subtleties of Skylum Aurora HDR 2020 specifically, fall back on one of a total of 80 different, predefined looks. With just one click, photos develop a completely different effect - from an almost untouched photograph to an analog look that resembles the look of decades-old cameras. This never requires a complete exposure series: A single photo is enough and the software generates both the extra low and high contrasts on its own. Especially with moving motifs, such as those that regularly occur in nature, this makes the work easier - because details are preserved much better this way. People who have to process hundreds or even thousands of images can also breathe a sigh of relief thanks to Skylum Aurora HDR 2020 : batch processing is used to ensure that the desired parameters only have to be set once. The software then processes each photo in the queue in the same way. It is possible to simply rely blindly on the AI or to define each parameter yourself - from the strength of the noise filter to color saturation and shadow balance to detail sharpness, color toning, polarization filter and more. Users are also allowed to add a vignette to the photo after the fact if that artistic subtlety is desired. More than 20 of these functions are in the software package. Unlike many other programs of this kind, photo enthusiasts who buy Skylum Aurora HDR 2020 benefit from the high quality level of all adjustments: There are no artifacts that wrap around processed areas and also no halos, as they are often visible with strong contrasts. Chromatic aberrations, on the other hand, are often found in the side areas of photos - and these are also reliably eliminated. The merging of different contrasts and light intensities is done with maximum quality. The results then look absolutely satisfactory both for professional users and for people who want to enrich their own social media channels with spectacular photos - and underline the potential of HDR photography. Patent Pending Technology Meet the Quantum HDR EngineTM. Powered by AI. Artificial Intelligence ensures the highest quality bracketing and spectacular color enhancement. No more halos, noisy artifacts or chromatic aberration. Just the best HDR images possible. Over 20 essential tools are available for any HDR editing. Filters for creative LUT mapping, polarization, color toning, noise reduction, dodging and burning, and more offer the ultimate in control and HDR excellence. More than that with exclusive tools at Skylum Aurora HDR 2020 HDR Denoising A powerful tool automatically detects and intelligently removes noise from your HDR photos, preserving the superb quality of every detail. HDR Intelligent Texture With Skylum Aurora HDR 2020, you have an intelligent slider with artificial intelligence that giv...
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eJay For Schools
Welcome to Dance eJay For Schools - Home Edition - Single User. With its intuitive interface and youth-friendly content, the award-winning Dance eJay series has long been a valued tool for teaching music composition with ICT. Now, the eJay team is releasing Dance eJay For Schools Home Edition, a program designed specifically for children's learning at home. This easy-to-use software is available for single users and is ideal for teaching music to children of all ages and abilities. Dance eJay for Schools turns your PC into a 48-track mixing studio with over 3,500 dance sounds to choose from! Edit samples in FX Studio, create your own melodies with the Hyper Generator synthesizer, and record beat patterns with the Groove Generator drum machine. Finally, add visual elements with the Music Animator! Features of eJay For Schools: 48-track sound mixer in hi-fi stereo quality. More than 3,500 royalty-free dance, club and lounge samples. Easy to use with full drag and drop support. Groove Generator - digital drum machine to create your own beat patterns. Hyper Generator - synthesizer with filter, echo and distortion effects. Extensive FX Studio for editing samples. Time Stretcher to change the tempo of samples without changing the pitch. Equalizer, booster and audio mixer for each track. Vocoder - give your samples a synthesizer effect. Voice Generator - create your own robot voices and cool vocal FX samples. Record your own samples and voices with a microphone (full duplex recording). Import samples in MP3 or WAV format. Export your mix as a WAV file. Student manual in PDF format. Music animator - with save to mix and export AVI video files. New help file compatible with Windows 7, 8, 8.1 and 10. System requirement of eJay For Schools Windows 10, 8, 8.1, 7/Vista/XP 32 or 64 bits. 1.2 GHz processor. 256 MB RAM. 677 MB of free hard disk space. Internet connection (for registration only).
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Pomegranate Body Butter - 200 ml
Enjoy this soothing care experience for the entire body with the soft fresh scent of the pomegranate, that regenerates your energy!The pomegranate has in many cultures been regarded as a symbol of vitality, beauty and youth. Most of all, the precious seed oil moisturizes the skin and gives it a youthful freshness. Dry, cracked skin becomes smooth, supple and radiantly beautiful again. Pomegranate seed oil is rich in unsaturated fatty acids and bioactive ingredients, that help protect from damaging environmental influences and have a positive effect on the regeneration of skin cells.
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Organic Pomegranate Juice - 1 litre
100 % fruit juice content from pomegranate juice concentrate The pomegranate has been a symbol of vitality, beauty and youth for thousands of years. It is mentioned in the Song of Solomon in the Bible to praise the grace of the beautiful Sulamith. The juicy, aromatic seeds of the pomegranate are rich in secondary plant compounds and polyphenols, e.g. flavonoids, tannins and ellagic acid. Our Bio-Granatapfel-Vitalsaft comes from controlled organic cultivation in southern Turkey. The Mediterranean climate with mild winters and the careful, gentle processing guarantees an unmistakably delicious, full-bodied taste!
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Microsoft Visual Studio 2022 Enterprise
Getting Started with Visual Studio 2022 Enterprise To develop any type of app or learn a language, work in the Visual Studio 2022 integrated development environment. Beyond code editing, Visual Studio 2022 brings together graphical designers, compilers, code completion tools, source code management, extensions, and many other features in one place. Personalize with themes and more Do you prefer a dark design? Do you want to change the layout of Windows according to your preferences? Do you have favorite keyboard shortcuts? Watch this short video to learn about some attractive personalization options such as themes, fonts, window layouts, and custom keyboard shortcuts in Visual Studio. Learn how to customize even more settings in this step-by-step guide Choose a theme Change fonts and colors Add and remove menus and toolbars Move window layout Set familiar keyboard shortcuts Select the development area that interests you the most Watch the step-by-step tutorial to get a basic understanding of how to build a simple application. Complete your learning by watching the video series and recommended guides for beginners. .NET With Visual Studio and .NET, you can develop applications for desktop, web, mobile, games, and more. You can write .NET apps in C#, F#, or Visual Basic languages. Desktop Development with .NET Core To get started easily, create a Windows console app with .NET Core. Also learn how to debug and publish Windows desktop app Class library App for all Windows 10 devices (e.g., Xbox, HoloLens, IoT) Web/cloud development with ASP.NET Core Game development with Unity Machine learning with ml.net C++ Development tools and libraries for C++, C and Assembly language are available as part of Visual Studio on Windows. You can use C++ in Visual Studio to build everything from a simple console to Windows desktop apps, from device drivers and operating system components to cross-platform games for mobile devices, and from small devices to multi-server computing in the Azure cloud. Desktop apps Android/ iOS apps with C++ Game development with C++ Python Visual Studio is a powerful for the Python language thanks to its built-in Python development and data science workloads. Python is a popular, easy-to-learn, free programming language with many free libraries. Use Python in Visual Studio to create web applications, web services, desktop applications, scripts, and scientific calculations. It is used by many universities, scientists, hobbyists, and professional developers alike. Data science and analytical applications Web applications Desktop app JavaScript/TypeScript Visual Studio provides extensive support for JavaScript development, both directly with JavaScript and with TypeScript, an open-source language based on JavaScript that is commonly used in the development of web apps of significant size. Web application Learn how to create an ASP.NET core web application using TypeScript Node.js Visual Studio has built-in tools for Node.js , a platform for building fast and scalable server applications with JavaScript. Node.js is the runtime and npm is the package manager for Node.js modules. Learn what makes Visual Studio a powerful node.js development environment. Web/cloud development with Node.js tools Build a web app in Visual Studio using Node.js tools with Express web app framework React Web User Interface React is a popular JavaScript library developed by Facebook for building user interfaces for web applications. Build a simple web app using Node.js Tools in Visual Studio with React. Join the Node.js Tools for Visual Studio community on GitHub Technical specifications Platform: Windows
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Pomegranate Body Oil - 100 ml
Enjoy this soothing care experience for the whole body with the exotic-fruity scent and the regenerating power of the pomegranate! The pomegranate has been a symbol of vitality, beauty and youth for thousands of years in many cultures. The precious seed oil in particular gives your skin moisture and youthful freshness. It is rich in unsaturated fatty acids and bioactive ingredients that protect against harmful environmental influences and have a positive effect on the regeneration of skin cells. Almond oil, evening primrose oil, jojoba oil, macadamia nut oil and vitamin E optimally compliment the nourishment. Dry, flaky, mature skin becomes smooth again, supple and radiantly beautiful.
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Pomegranate Face Cream - 100 ml
Precious nourishing care cream with pomegranate, that has a regenerating effect on the skin. The pomegranate has in many cultures been regarded as a symbol of vitality, beauty and youth. Most of all, the precious seed oil moisturizes the skin and gives it a youthful freshness. Dry, cracked skin becomes smooth, supple and radiantly beautiful again. Pomegranate seed oil is rich in unsaturated fatty acids and bioactive ingredients, that help protect from damaging environmental influences and have a positive effect on the regeneration of skin cells. With regular use, Pomegranate Face Cream prevents the formation of pigmented lesions and other premature signs of aging. It is easily absorbed and non-greasy. Pleasant, delicate scent.
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Self-tanning Cream - 100 ml
Healthy, brown skin without UV light. Tanned skin suggests youth, success and holidays! And this though everybody knows that nothing else quickens the skin's aging so much like the UV light. Our self-tanning cream helps you to get a healthy suntan completely without the negative adverse effects of the sunlight. The even tanning effect is based on a natural substance on a sugar base that tans the skin slowly and evenly. The complete suntan evolves after 2 to 4 days. Worked into a caring and moisture giving cream basis, with vitamin E and ceramides, the self-tanning cream can daily be used such as a facial skin cream or body cream.
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Sensor Data Intelligence Scenario Add-in for Dynamics 365 Supply Chain Management (NCE)
Sensor Data Intelligence Scenario Add-in for Dynamics 365 Supply Chain Management (NCE) (CFQ7TTC0HD4F:0001)
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ESET File Security for Microsoft Windows Server
File Security for Microsoft Windows Server provides advanced protection for your organization's data running across all general servers, network file stores including OneDrive, and multi-purpose servers to ensure business continuity: Ransomware Prevention Zero-day threat detection Data breach prevention Botnet protection Layered Defense A single layer of defense is not sufficient for today's ever-evolving threat landscape. All endpoint products are capable of detecting malware before execution, during execution, and after execution. An additional layer can be implemented in the form of cloud sandbox analysis with ESET Dynamic Threat Defense. By not focusing only on a specific part of the malware lifecycle, ESET can provide the highest level of protection possible. Management server ESET File Security solutions are managed by a single pane-of-glass that can be installed on Windows or Linux. In addition to installation, ESET offers a virtual appliance that can be easily imported for quick and easy setup. Machine Learning All ESET Endpoint products currently use machine learning in conjunction with all of our other layers of defense, and have been doing so since 1997. Specifically, machine learning is used in the form of consolidated output and neural networks. Use Cases PROBLEM Some companies want additional assurance that they are protected from ransomware attacks. They also want to ensure that their network drives are not encrypted. Network Attack Protection is able to prevent ransomware from ever infecting a system by stopping exploits at the network layer. Our layered defense has an in-product sandbox capable of detecting malware that attempts to evade detection through obfuscation. Use ESET's cloud malware protection to automatically protect against new threats without having to wait for the next detection update. Typical response time of 20 minutes. All products include post-execution protection in the form of Ransomware Shield to ensure organizations are protected from malicious file encryption. If ESET File Security is unsure if there is a potential threat, it has the ability to upload the sample to ESET Cloud Sandbox, Dynamic Threat Defense, to make a quality decision about whether something is malicious. The ESET Difference Behavior-based detection - HIPS ESET's Host-based Intrusion Prevention System (HIPS) monitors system activity and uses a predefined set of rules to detect and stop suspicious system behavior. Ransomware Protection An additional layer that protects users from ransomware. Our technology monitors and evaluates all running applications based on their behavior and reputation. It is designed to detect and block processes that resemble ransomware behavior. Network Attack Protection ESET Network Attack Protection improves the detection of known network-level vulnerabilities. It provides another important layer of protection against malware proliferation, network-driven attacks, and exploitation of vulnerabilities for which a patch has not yet been published or deployed. Botnet Protection ESET Botnet Protection detects malicious communications used by botnets while identifying the attacking processes. Any malicious communication detected is blocked and reported to the user. Office 365 OneDrive storage Once enrolled on a single server, ESET can scan OneDrive to reveal and monitor the trusted source of corporate storage. Optional Cloud Sandbox Analysis ESET Dynamic Threat Defense adds another layer of security to ESET File Security solutions by using cloud-based sandboxing technology to detect new, never-before-seen types of threats. AMSI/Protected Service Support ESET products leverage the Antimalware Scan Interface (AMSI) to provide advanced malware protection for users, data, applications and workloads. Additionally, it leverages the Protected Service Interface, a new security module built into Windows that only allows trusted, signed code to be loaded and better protects against code injection attacks. Unmatched Performance ESET products continue to excel in performance, winning third-party tests that prove how light our endpoints are on systems. ESET File Security solutions are based on a 64-bit core and include DLL modules that save more memory, enable faster computer boot times and allow native support for future Windows updates. ESET cutting-edge technology Continuous development of leading protection. Our global research labs drive the development of ESET's unique technology ESET uses multi-layered technologies that go far beyond the capabilities of simple antivirus protection. The figure below shows various core ESET technologies and an approximate idea of when and how they can detect and/or block a threat during its lifecycle in the system. UEFI Scanner ESET is the first Internet security vendor to integrate a special layer of Unified Extensible Firmware Interface (UEFI) protection into its solution...
Price: 69.85 £ | Shipping*: 0.00 £ -
ESET File Security for Microsoft Windows Server
File Security for Microsoft Windows Server provides advanced protection for your organization's data running across all general servers, network file stores including OneDrive, and multi-purpose servers to ensure business continuity: Ransomware Prevention Zero-day threat detection Data breach prevention Botnet protection Layered Defense A single layer of defense is not sufficient for today's ever-evolving threat landscape. All endpoint products are capable of detecting malware before execution, during execution, and after execution. An additional layer can be implemented in the form of cloud sandbox analysis with ESET Dynamic Threat Defense. By not focusing only on a specific part of the malware lifecycle, ESET can provide the highest level of protection possible. Management server ESET File Security solutions are managed by a single pane-of-glass that can be installed on Windows or Linux. In addition to installation, ESET offers a virtual appliance that can be easily imported for quick and easy setup. Machine Learning All ESET Endpoint products currently use machine learning in conjunction with all of our other layers of defense, and have been doing so since 1997. Specifically, machine learning is used in the form of consolidated output and neural networks. Use Cases PROBLEM Some companies want additional assurance that they are protected from ransomware attacks. They also want to ensure that their network drives are not encrypted. Network Attack Protection is able to prevent ransomware from ever infecting a system by stopping exploits at the network layer. Our layered defense has an in-product sandbox capable of detecting malware that attempts to evade detection through obfuscation. Use ESET's cloud malware protection to automatically protect against new threats without having to wait for the next detection update. Typical response time of 20 minutes. All products include post-execution protection in the form of Ransomware Shield to ensure organizations are protected from malicious file encryption. If ESET File Security is unsure if there is a potential threat, it has the ability to upload the sample to ESET Cloud Sandbox, Dynamic Threat Defense, to make a quality decision about whether something is malicious. The ESET Difference Behavior-based detection - HIPS ESET's Host-based Intrusion Prevention System (HIPS) monitors system activity and uses a predefined set of rules to detect and stop suspicious system behavior. Ransomware Protection An additional layer that protects users from ransomware. Our technology monitors and evaluates all running applications based on their behavior and reputation. It is designed to detect and block processes that resemble ransomware behavior. Network Attack Protection ESET Network Attack Protection improves the detection of known network-level vulnerabilities. It provides another important layer of protection against malware proliferation, network-driven attacks, and exploitation of vulnerabilities for which a patch has not yet been published or deployed. Botnet Protection ESET Botnet Protection detects malicious communications used by botnets while identifying the attacking processes. Any malicious communication detected is blocked and reported to the user. Office 365 OneDrive storage Once enrolled on a single server, ESET can scan OneDrive to reveal and monitor the trusted source of corporate storage. Optional Cloud Sandbox Analysis ESET Dynamic Threat Defense adds another layer of security to ESET File Security solutions by using cloud-based sandboxing technology to detect new, never-before-seen types of threats. AMSI/Protected Service Support ESET products leverage the Antimalware Scan Interface (AMSI) to provide advanced malware protection for users, data, applications and workloads. Additionally, it leverages the Protected Service Interface, a new security module built into Windows that only allows trusted, signed code to be loaded and better protects against code injection attacks. Unmatched Performance ESET products continue to excel in performance, winning third-party tests that prove how light our endpoints are on systems. ESET File Security solutions are based on a 64-bit core and include DLL modules that save more memory, enable faster computer boot times and allow native support for future Windows updates. ESET cutting-edge technology Continuous development of leading protection. Our global research labs drive the development of ESET's unique technology ESET uses multi-layered technologies that go far beyond the capabilities of simple antivirus protection. The figure below shows various core ESET technologies and an approximate idea of when and how they can detect and/or block a threat during its lifecycle in the system. UEFI Scanner ESET is the first Internet security vendor to integrate a special layer of Unified Extensible Firmware Interface (UEFI) protection into its solution...
Price: 115.02 £ | Shipping*: 0.00 £
Similar search terms for Algebraic:
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What are algebraic equations?
Algebraic equations are mathematical expressions that contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. These equations are used to represent relationships between different quantities and are solved to find the values of the variables that satisfy the equation. Algebraic equations can be simple, like 2x + 5 = 11, or more complex, involving multiple variables and operations. They are fundamental in algebra and are used in various fields of mathematics and science to model real-world situations and solve problems.
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What are algebraic fractions?
Algebraic fractions are fractions where the numerator and/or denominator are algebraic expressions, such as polynomials. They involve variables and can be simplified, added, subtracted, multiplied, and divided just like numerical fractions. Algebraic fractions are commonly used in algebra to solve equations and simplify expressions.
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What is an algebraic structure?
An algebraic structure is a set equipped with one or more operations that satisfy certain properties. These properties define how the elements of the set interact with each other under the given operations. Common examples of algebraic structures include groups, rings, and fields, each with their own specific set of rules and properties. Algebraic structures are fundamental in abstract algebra and provide a framework for studying mathematical objects and their relationships.
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What are algebraic word equations?
Algebraic word equations are mathematical expressions that use words to describe a problem or situation, and then represent that problem using algebraic symbols and operations. These equations can be used to solve real-world problems by translating the given information into mathematical expressions. By using algebraic word equations, we can represent relationships between different quantities and solve for unknown variables. This allows us to analyze and solve a wide range of problems in various fields such as physics, engineering, and economics.
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What are algebraic expressions involving fractions?
Algebraic expressions involving fractions are mathematical expressions that contain variables, constants, and fractions. These expressions can include operations such as addition, subtraction, multiplication, and division of fractions. For example, (3/4)x + (1/2)y - (1/3)z is an algebraic expression involving fractions, where x, y, and z are variables. These expressions are used to represent relationships and solve equations in algebra.
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How can one simplify algebraic fractions?
To simplify algebraic fractions, you can start by factoring the numerator and denominator to look for common factors. Then, you can cancel out any common factors from the numerator and denominator. After canceling out the common factors, you can multiply out any remaining factors to simplify the fraction further. Finally, you can check if the fraction can be simplified further by repeating the process until no common factors remain.
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What is the rule for algebraic manipulations?
The rule for algebraic manipulations is to perform the same operation on both sides of the equation in order to maintain equality. This means that when simplifying or solving an equation, you can add, subtract, multiply, or divide both sides by the same number or expression. Additionally, you can also use the distributive property to expand or factor expressions. It's important to remember that whatever operation is performed on one side of the equation, it must also be performed on the other side to maintain the equality.
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How does algebraic square root extraction work?
Algebraic square root extraction involves finding the square root of a number by breaking it down into its prime factors. The process involves identifying perfect squares within the number and simplifying the square root expression by taking out the square roots of those perfect squares. By simplifying the expression in this way, we can find the square root of the original number. This method is particularly useful when dealing with complex numbers or expressions involving variables.
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What is the definition of algebraic functions?
Algebraic functions are functions that can be defined by a finite sequence of algebraic operations, such as addition, subtraction, multiplication, division, and taking roots. These functions can be expressed as a ratio of two polynomials, where the numerator and denominator are both polynomials. Algebraic functions can also include rational functions, which are the ratio of two polynomials. In general, algebraic functions are a broad class of functions that can be manipulated using algebraic techniques.
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What is the algebraic sum in mathematics?
The algebraic sum in mathematics refers to the sum of all the numbers in a given set, taking into account their signs (positive or negative). It involves adding and subtracting numbers based on their sign to determine the overall result. The algebraic sum helps in understanding the net effect of combining different quantities, whether they are positive or negative.
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What is the rule for algebraic transformations?
The rule for algebraic transformations is that you can perform the same operation on both sides of an equation without changing the equality. This means you can add, subtract, multiply, or divide both sides by the same number or expression. By following this rule, you can simplify equations, solve for unknown variables, and manipulate expressions to make them easier to work with. Just remember to apply the same operation to both sides to maintain the balance of the equation.
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Search for a program for visualizing algebraic curves.
You can use GeoGebra, a free online tool for visualizing algebraic curves. It allows you to input algebraic equations and see the corresponding curves in a graph. GeoGebra also provides various tools for exploring and analyzing the curves, making it a useful program for visualizing and studying algebraic curves.
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