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I'm seeking a skilled professional with deep expertise in dynamic programming and non-linear programming. The primary objective of this project is optimiza...non-linear programming. The primary objective of this project is optimization modeling, specifically targeted at leveraging dynamic programming techniques. Ideal Skills and Experience: - Advanced knowledge in dynamic programming - Advanced knowledge in operations research - Proficient in linear programming - Skilled in dynamic programming - Experienced in non-linear programming - Highly proficient in Excel for modeling and analysis Please note, the focus will be primarily on dynamic programming and non-linear programming. Your ability to apply these techniques to complex optimization problems will be key to the success o...

Location: Remote (UK-Based Only) About Us: We are a growing website design and development studio specialising in crafting tailored online solutions for SMEs and specialist businesses, including schools, estate agents, accountants, lawyers, and more. While we excel in technical expertise, we are seeking a dynamic and experienced sales partner to join as a co-founder to help us drive growth. The Opportunity: This is a unique chance to become a commission-based co-founder of a promising digital studio. You’ll take charge of sales and client acquisition, while we focus on delivering high-quality technical solutions. Together, we’ll scale the business and share in its success. What You’ll Do: - Develop and execute sales strategies targeting SMEs and specialist indu...

...integrates AI capabilities for stock market analysis. The bot should fetch data from multiple APIs, analyze it using an AI model, and provide actionable insights to users. Key Features Required: 1. Telegram Bot: Develop a bot that responds to user commands such as /start, /trade, etc. Allow users to input queries like “Suggest a good trade for today.” 2. AI Integration: Use an open-source AI model (e.g., GPT-2 or similar) to process data and generate insights. Fine-tune the model with provided training data for better accuracy. 3. APIs Integration: Integrate with the following APIs: News APIs: , , etc., for fetching the latest stock-related news. Stock Market APIs: Alpha Vantage or similar for real-time stock data and historical...

I'm looking for an expert to help me set up a new Amazon seller account. I plan...upload listings for a range of products. Previous experience in this area or with similar projects would be beneficial. - Creating Product Descriptions: I want to ensure all my product descriptions are engaging and SEO-optimized. A background in copywriting or content creation would be a significant advantage. - Setting Up Pricing and Payment Options: I'll need your expertise in setting competitive prices and establishing payment options. Ideal Skills and Experience: - Proven experience with Amazon seller account setup - Familiarity with both physical and digital product listings - Strong skills in product description creation - Experience in pricing strategy development - Knowledge of payme...

Uniswap V3 - ETH to ERC20 / ERC20 to ETH function NextJS - Should start --> node

I'm in need of a professional with expertise in sales within the automotive spare parts sector. The ideal candidate would possess a comprehensive understanding of sales parts, inventory management, along with significant experience in direct customer sales. Key Responsibilities: - Manage parts inventory effectively to ensure optimal stock levels and availability for customers. - Engage in direct customer sales in-store, providing excellent customer service and product knowledge to drive sales and enhance customer satisfaction. Skills & Experience Required: - Proven knowledge of automotive spare parts and their respective sales techniques - Extensive experience in parts inventory management - Strong background in direct customer sales - Excellent communication and interpe...

...through the distributor’s API. Track and update order status within WooCommerce. Technical Implementation: Develop the integration in PHP, ensuring compatibility with WooCommerce. Implement caching and pagination for optimized performance. Ensure robust error handling and logging for all API interactions. Technical Details: Endpoints to Implement: Inventory: Retrieve product availability and stock levels. Pricing: Synchronize real-time product pricing. Order Management: Enable order placement and tracking. Authentication: The API uses token-based authentication, which must be securely implemented. Performance Optimization: Implement caching for frequently accessed data. Use pagination to handle large datasets efficiently. Expected Timeline and Budget: Timeline: Please...

I'm seeking an expert in algorithmic trading to help set up an automated trading system, specifically for trading SPX with 0DTE expiry. The system will be used on Tastytrade. Key Requirements: - Design ... capable of executing trades without manual intervention. - Optimize the system for trading SPX 0DTE options, a strategy that involves trading options with zero days to expiration. - Ensure the system is compatible with Tastytrade, my preferred trading platform. Ideal skills and experience for the job include: - Extensive knowledge and experience in algorithmic trading, particularly in the US stock market. - Familiarity with trading SPX and 0DTE options. - Proven track record of developing and implementing successful automated trading systems. - Experience working with Tasty...

I need someone to help me with typing some text data from an Excel file. The data is a few pages worth of text. Ultimately, I need the typed data to be compiled into a plain text file. Ideal Skills: - Proficiency in Excel - Fast and accurate typing skills - Attention to detail - Experience with creating plain text files

I'm seeking a skilled PostgreSQL developer to complete a function that will perform specific operations.

...an Excel expert to design a shift schedule for my employees. The system needs to accommodate rotating shifts, with 5 working days followed by 2 days off per week. Shifts will alternate weekly between morning and afternoon. And not all the off days occur on the weekends as I need the employees mostly at weekend so arrange the off days along the week and I need more than 6 employees each shift. Key requirements: - Shift Schedule: The schedule should cover 5 days of work and 2 days off each week. - Rotating Shifts: All employees will be on a rotating shift pattern. - Weekly Change: The shifts should change every week. Please note that the schedule does not need to take holidays into account. I will provide the names and details of employees. Ideal candidates should be proficient i...

...an international career. You stay updated on technology trends and terminology. You have excellent proficiency in English and are comfortable using grammar and spell-check tools. You approach tasks methodically and analytically, with an eye for scaling effectively. You are self-reliant and able to work with minimal supervision. You are proficient in spreadsheets, including MS Excel and Google Sheets. You excel in fast-paced, dynamic startup environments and adopt a proactive mindset. It is a plus if you have 2+ years of experience in related fields or hold a degree in Business, Sales, or Marketing. What You Will Do Develop narrative strategies for apps and games. Use LinkedIn and other platforms to generate and qualify sales leads and opportunities. Conduct sear...

I'm...Adhere to a strict development budget of $150 Please do not apply if you do not meet all the above criteria. Only developers with shopping mall solutions can apply for the project Development participation qualifications 1. Developers who have an existing shopping mall solution 2. Only developers who can complete development quickly in a short period of time 3. Only those who can develop a function that automatically crawls and registers shopping mall products 4. Only developers who can communicate using a translator because they don't speak English 5. Shopping mall development standards are web and PWA installation app methods 6. Only within a development budget of $150 If the above 6 requirements match the developer, apply for project development Do not apply ...

...recruiting senior-level candidates and sourcing businesses with job openings. Both aspects of this project are equally important. Key Requirements: - Extensive experience in senior-level recruitment. - Strong connections with small to medium-sized businesses, particularly in the healthcare and security industries. - Proven experience in sourcing job openings in the technology, healthcare, and finance sectors. - Excellent communication and networking skills. - Proficiency in using recruitment tools and platforms, specifically LinkedIn, Indeed, ZipRecruiter, and Job Today (using their own accounts). Ideal Skills: - Exceptional understanding of senior-level recruitment. - Ability to network and communicate efficiently. - Proficient in using various recruitment platforms. - Experienc...

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I am seeking an experienced web developer to create a high-level website tailored for crypto investors. This site will primarily function as an investment portfolio management platform and will incorporate: - A robust portfolio tracking feature that allows users to monitor their investments in real-time. - Advanced performance analytics tools to help users assess their investment's progress and make informed decisions. The ideal candidate for this project should have a deep understanding of crypto market dynamics and previous experience in developing investment-focused websites. Knowledge in implementing secure and efficient portfolio management systems is crucial. A portfolio showcasing similar projects will be highly advantageous. Please note, this site will not require e-c...

I'm looking for a skilled mobile app developer to create a price comparison app for both iOS and Android platforms. Key Features: - Price alert notifications: Users should be able to set alerts for specific products when their prices drop. - User reviews: Integration of user reviews for products is necessary. - Real time data: The app should be able to provide real time data via public APIs or web scraping. Data Sourcing: - The product data will primarily be sourced from public APIs or Scrapping Ideal Skills: - Proficiency in cross-platform mobile app development - Experience in implementing notifications and user review features - Knowledge of working with public APIs and web scraping - Understanding of real-time data integration. The aim is to create a user-friendly, eff...

I've just published my book "The Lady Built a Stone House", detailing the life of Miss Maude Meagher. I'm now seeking a talented producer and direc...seeking a talented producer and director to assist me in bringing this book to the big screen. Your role will be to: - Help develop our film concept into a comprehensive, engaging and captivating screenplay. - Oversee the film's production from the ground up, ensuring the final product aligns with our vision. Experience in adapting novels for film is a significant advantage, as is a passion for historical narratives. You should be able to demonstrate a portfolio of successful projects, alongside excellent leadership and communication skills. Please reach out if you're interested in this exciting opportun...

I'm seeking a skilled web d...We want to use a new template we've created for our corporate site. The work will be done through an FTP client. Key Responsibilities: - Implementing the new corporate website template - Ensuring all key sections are included, but not limited to: Home Page, About Us, Services Overview, and a Contact Form - Ensuring website design and user interface are intuitive and easy to navigate. - Utilize stock images or provide images to decorate the website to our liking. Ideal Skills: - Proficient in website development and FTP client usage - Knowledge of corporate website design to adjust website to an ideal format - Able to communicate to individuals not familiar with website and content management - Able to accommodate additional changes requeste...

Creating a set of variables based on 2 sets of cells. Column A has letters or number in it. Column B has letters or numbers in it. A1 VS B1 would have 2 variable outcomes in column C1 A1 or B1. If colum A and B is increasd to 2 cells then column C would have 4 outcomnes etc. I would also need to be able to pick how many cells in each column are active.

Se creará un sitio web con un hosting administrado por el cliente en php8.0, laravel, mysql6 y bootstrap, en el cual se contenga un login, un crud en El cual se debe adjuntar un Excel y rellenar unos datos adicionales mediante un formulario para formatear los datos que se deben mostrar en un PDF, una vez subido el Excel se va a generar un enlace público para visualizar dicho PDF, se contendra un histórico de Excel subidos en una tabla con buscador. A su vez se precisa de un formulario en el cual se coloque una referencia y se puedan actualizar los estados en el cual se encuentran los pedidos y posteriormente poder ser consultados de manera publica, como en la web de ejemplo:

I have an existing project built with React Native, and I'm looking for a developer to implement the following updates: My budget is 100 USD (I can make additional payments depending on the project quality.) AdMob Integration: Add AdMob ads to the app for monetization. Design Enhancements: Improve the overall look ...following updates: My budget is 100 USD (I can make additional payments depending on the project quality.) AdMob Integration: Add AdMob ads to the app for monetization. Design Enhancements: Improve the overall look and feel of the app for a more modern and user-friendly experience. PDF Sharing Functionality: Enable users to share PDFs directly from the app. Comparison Feature: Implement a comparison function that allows users to compare different items or data ...

...and opportunities, including email communication via our company domain. • Sales: Ability to generate and manage quotations and invoices. • Inventory Assets: Track and manage company assets. • Expenses: Configure expense tracking for employees. • Service Catalog: List company services, define cost prices, and selling prices. • Finance: Ensure proper setup of invoicing, payments, and basic accounting features. 3. Align Odoo with the needs of our sales, finance, and operations teams, ensuring all workflows are ready for daily use. 4. Use the Odoo PM to record and track all required activities for this project. (In addition to FL platform) 4. Provide basic user training and documentation for key team mem...

...Proyecto 1: Generador de PDFs desde Excel Objetivo: Diseñar una aplicación web que permita cargar un archivo Excel, procesar sus datos y generar un PDF bien organizado para enviarlo a nuestros clientes. La herramienta deberá incluir las siguientes funcionalidades: Pantalla de login: Para garantizar la seguridad de acceso. Interfaz de carga: Subir el archivo Excel (XLS) y leer sus datos. Generación de PDF: Crear un archivo PDF estructurado, ocultando ciertos datos específicos del Excel. Histórico: Un panel para consultar los documentos generados previamente, incluyendo: Fecha de generación. Posibilidad de buscar por número de pedido. Un botón de lupa para visualizar los archivos generados. Requisi...

I'm looking for a talented app developer to build a productivity app for me. The app should be available on both iOS and Android platforms. Its primary function will be note-taking. More details of the projecta are given below:

I'm looking for a developer who can create a multi-store e-commerce portal, similar to avellanedaauntoque.com. Key Features: - Product Categorization: The portal should categorize products by type. - Store Registration: The system should allow stores to register through email and upload products with prices and photos. - User Interaction: The portal will not feature customer reviews or ratings. Ideal Skills and Experience: - E-commerce website development - Proficiency in email registration systems - Experience in product categorization systems - Understanding of building multi-store platforms No quiero carrito de compra sino que cada persona puede communicates con la tienda por WhatsApp .

I am seeking a creative freelancer to design and schedule 50 Instagram posts for my brand. These posts should follow a minimalist and clean visual theme, aligning with our brand's identity. Content Mix: - A strong emphasis on informative content - A balanced mix of promotional and seasonal content Post Elements: - Incorporating text overlays - Using iconography - Integrating stock images Ideal Skills: - Graphic design - Social media marketing - Proficiency in Instagram's content scheduling tools - Understanding of minimalist design principles

I'm looking for an experienced developer or a team to create an Agency Management System using React and Node. The primary function of this system will be resource allocation, specifically managing tasks and users. Key Features: - Task assignment: The system should allow for easy allocation of tasks to users. - Task tracking: There should be functionalities that enable tracking of task progress. - Task deadlines: The system should incorporate setting and managing task deadlines. - Chat: An inbuilt chat function for communication. - Payment Gateway: Integration of a payment gateway for transactions. Ideal Skills: - Proficiency in React and Node.js is a must. - Prior experience in developing resource management systems will be an advantage. - Knowledge in integrating pay...

...portfolio attached in profile. I am professional Structural Engineer with more than 08 years experience. I can design any types of residential and commercial buildings with proper structural analysis, Load calculation report and detailed drawing following by ASCE, ACI, IBC, BNBC codes. I have expertize in different types of professional software like SAFE, ETABS, AUTO CAD, STAAD Pro, SAP 20000, MS EXCEL, MS POWERPOINT etc. I have also expertise at 3D design and 2D draft work of AUTOCAD, SKETCH UP and other relevant softwares. I am able to deliver your project with all the key requirements and your timeframe. I have practical experience in many RCC structures, Steel Structures, Timber structures etc which were delivered to clients with their feedback. My team members are incor...

My web app is nearly complete, but I need a seasoned developer to help finalize the project. The remaining tasks include: - Implementing user registration features: This encompasses setting up sign up/login capabilities and a Change Password function. - Developing data management: The app needs to save and retrieve various data for logged-in users. This includes personal information, user activity logs, checklists, budgets, and expenditures. - Fixing a minor bug: There is a small data display error that needs to be corrected in existing functionality. If you have a strong background in and web development, and you are experienced in implementing user registration features and data management systems, I would love to hear from you. Your expertise could help finalize

I'm seeking an expert in web scraping to gather data from my competitor's stock on their website, specifically Data Requirements: - Make - Model - Registration - Mileage - Cash Price Delivery Format: The scraped data should be delivered in a CSV file. Filtering Criteria: I need the data to be filtered by price range. Please ensure you understand the price range criteria before bidding. Ideal Skills: - Proficient in web scraping - Experience in data filtering - Able to deliver data in CSV format Please note, this is a one-time project.

I need a QGIS plugin that can read addresses from an Excel sheet (addresses in Denmark, Europe), geomap them using a free geomapping service/plugin (already exists) so they show as dots on a map, and group them into custom map layers based on categories in the Excel spreadsheet. Key requirements: 1. Importing addresses from Excel to QGIS 2. Geomapping the addresses so they shown on a map as dots on the map. 3. Organizing the locations/dots into layers, grouped by custom categories in the spreadsheet. 4. Changing the color of the map dots based on info on the spreadsheet.. 5. Adding an infobox in QGIS, so when a dot on the map is clicked, information originally from the spreadsheet pertaining to that address will show in an info-box in QGIS. 6. Ability to mak...

Hey, Im Jan a few years ago I made Finance Videos on YouTube and got 10k Subs. I now want to Start again / continue making Videos but I dont have the time to cut the Videos and fill it with good graphics and informational stuff. I would like to make 2-3 YouTube Videos (8-15 minutes) a week and short Versions of it for TikTok, so you would have to cut 2-3 "big" and "small" Videos. The Videos are mostly stock analyses but also sometimes other finance related Videos. As a reminder its not only cutting its also sometimes creating or inserting graphics and views. As a base you get my facecam, audio and screenrecording. What you would have to do/know: 1. Understand the Video language wise(German) -You could use AI to translate 2. Understand the Content(F...

I'm looking for a seasoned professional with a robust understanding of inventory management, demand forecasting, and su...a seasoned professional with a robust understanding of inventory management, demand forecasting, and supplier management for a desktop-based stock planning solution for my retail store. Key Aspects: - Inventory Management: Expertise in tracking stock levels, orders, sales and deliveries. - Demand Forecasting: Experience in predicting future customer demand using historical data. - Supplier Management: Skills in managing and negotiating with suppliers for optimal stock levels. Ideal Skills & Experience: - Proficient in desktop application development. - Strong background in data analysis and consultation services. - Previous experi...

I need an Excel expert to create a formula for me that ranks the numerical values in column F in descending order. The ranking should reset every time the time changes in column B. The formula needs to be inserted in column I. Key Requirements: - The data in column F consists of numerical values that need to be ranked. - The time in column B is in HH:MM format. - The ranking should reset for each unique time in column B. Ideal Skills: - Proficiency in Excel with strong formula skills. - Experience with data analysis and ranking tasks.

I'm seeking a developer to create an internal, web-based platform that effectively matches buyers with middle market businesses for sale. Key Features: - Buyer and Seller Matching: The platform's primary function will be to connect potential buyers with sellers of mid-sized companies across various industries. - Broad Target: The platform will cater to all sectors within the middle market, not limited to specific industries such as retail, real estate or technology. Ideal Skills: - Proficient in web platform development with a focus on user-friendly interfaces. - Experience in creating matchmaking systems, preferably for business transactions. - Understanding of the characteristics and trends within the middle market business landscape. This project is perfect for a ...

I'm looking for a high-quality, well-edited Instagram reel documenting travel in 2024. The video will be 30-45 seconds long and will use stock footage. The video should: - Be calm and relaxing in terms of music - Feature overlay text on the video displaying the names of ~15 countries and cities - Stand out from generic year-end videos I will provide the names of the places, but you will need to source and put together the footage, as well as edit it to a high standard with decent effects and copyright-free music. Please reply with 'I understand', your estimated time for completion, and a portfolio of similar videos.

...partners have successfully transitioned from residential cleaning to focus on multifamily cleaning—and they’re making more money with fewer hassles! Multifamily clients offer steady, reliable work with fewer complications compared to residential cleaning. ✔️ Training & Certification As a PINCH member, you’ll get access to free training and certification through our online platform, preparing you to excel in the apartment community cleaning space. Once certified, you’ll be equipped to work with top property management companies. Who Are We Looking For? We’re seeking go-getters—independent contractors and cleaning teams who are ready to grow their business and take control of their future. If you’re committed to providing top-tier ...

I am in search of a seasoned Botpress developer to create a customer support chatbot for my WordPress site. The bot's primary function is to address customer queries and manage an array of unpredictable questions. In addition, it should be capable of creating and redirecting users to help support tickets. Key Requirements: - Proven experience with Botpress - Expertise in designing intuitive, user-friendly chat interfaces - Strong understanding of customer service workflows - Prior experience in developing FAQs The ultimate aim of this project is to bolster our customer service capabilities and enhance the overall user experience on our site. The chatbot will operate solely in English, providing a text-based chat interface for customer interactions. The tone of the bot should ...

I'm looking for a skilled app developer to update and help manage a social networking app specifically designed for mums seeking connection with other mums and parenting advice. The primary function of the app is to connect users to support groups . This will involve: - updating the app to have a platform for live chat within these groups - Designing discussion forums for group interactions - Incorporating expert advice sessions into the app or video capability Ideal candidates for this project should have prior experience in developing social networking apps, preferably with a focus on support groups or parenting. Skills in UI/UX design will be highly regarded, as the app needs to be user-friendly for all levels of tech-savviness. The app is currently available for ios and A...

...subscription expires. 8. Educational Content and Analysis Explanations for Recommendations: Detailed breakdown of the strategy used for each trade. Educational Posts: Tutorials on using technical indicators and understanding market trends. Performance Reports: Weekly summaries of successful trades, profit percentages, and market insights. 9. Monitoring and Notifications Real-Time Dashboard: Display BCH prices, trade history, and portfolio performance. Custom Alerts: Notifications for trade executions, price changes, and significant market events via: Telegram. Email. . Trade Performance Tracking: Log successful and failed trades for analysis. 10. Wallet and Security Wallet Integration: Track BCH balances across Binance and Bybit wallets. Fee Calculations: Automatically calculate ...

I need approximately 16 pages of data integrated into my existing catalogue, designed in CorelDRAW. The data is available in an Excel file. This project involves adding both text and images, with the images being arranged in separate sections. It is essential that the text formatting is consistent with the style of the existing catalogue. Ideal Skills: - Proficiency in CorelDRAW - Experience with data integration - Attention to detail to ensure consistent formatting Please note: This project is strictly about data integration and following the specified formatting guidelines.

I'm looking for a Python expert to build a script that backtests screener results from over the past 9 years. The objective is to evaluate specific trading strategies, primarily breakout trading using indicator-based breakouts. Requirements: - The script should output results in an Excel file, allowing for the assessment of performance based on preset target/stoploss and max holding period. - It should focus on evaluating breakout trading strategies using indicator-based breakouts. - Prior experience with trading strategy backtesting and data analysis is highly desirable. Please note, the main goal of this project is to understand how effective specific trading strategies have been over the last 9 years. A deep understanding of Python, as well as knowledge of trading strateg...

I'm looking for a talented developer to create a demo search application using AI, specifically tailored for e-commerce with a focus on groceries. The primary function of this app is to facilitate product search in the grocery sector. - Using an open source out of the shelf solution. - A webpage to upload the product id and name - A webpage to search the products

I'm experiencing an issue with my new Woocommerce store where the 'out of stock' message appears for all products. I don't WANT to track inventory, but have tried turning it on to see if I can resolve the issue. Please fix. Will have more work in this website in future as we build it.

I'm looking for a compelling short story for my GCSE English focused on a soldier in WW2. The narrative should delve into the mental and emotional struggles faced by the soldier, not just the physical battles and combat. Key Requi...not just in terms of combat, but also in terms of personal relationships and the soldier's inner turmoil. - The theme of friendship should be subtly woven into the narrative, showcasing the bonds formed during wartime and the impact of these relationships on mental resilience. Ideal Skills & Experience: - Proficient in creative writing, particularly short stories. - Understanding of the historical context of WW2. - Ability to convey complex emotional struggles in a relatable, engaging way. - Previous experience writing from a f...

I'm seeking a seasoned web developer with extensive experience in migrating e-commerce sites from GoDaddy to Hostinger. My website is currently hosted on GoDaddy and features several custom themes. Key Responsibilities: - Successfully migrate the entire e-commerce site - Ensure all custom themes are preserved and function seamlessly post-migration - Connecting my website to my bank account Ideal Skills and Experience: - Proven track record in e-commerce site migration, specifically from GoDaddy to Hostinger - Strong understanding of custom theme integration - Proficiency in web development and troubleshooting - Excellent communication skills for status updates and potential problem-solving discussions - Strong understanding of bank steps to connect the website successfully ...

...schedules and calendars for personal and professional appointments. Preparing coffee/tea and light refreshments as needed. Handling basic Microsoft Office tasks (Word, Excel, PowerPoint) for documentation and presentations. Maintaining and organizing files or records. 4. Errands and Miscellaneous Tasks: Booking appointments (doctor, tuition, repair services, etc.). Managing personal and professional travel arrangements. Assisting in planning family or work-related events. Requirements: Education: Minimum qualification: +2 or any degree. Skills & Experience: Proficiency in basic Microsoft Office applications (Word, Excel, PowerPoint). Strong organizational and multitasking skills. Prior experience as a personal assistant, nanny, or in a similar role ...

...project necessitates the incorporation of several key functionalities including alarm management, historical data logging, and real-time monitoring. Strong Python scripting capabilities within Ignitition is a must Key Requirements: - Design and implement a SCADA system within Ignition - Integration of alarm management, historical data logging, and real-time monitoring features - Interface with PLC (Programmable Logic Controllers) and various sensors and actuators Ideal Skills: - Proficiency in Ignition software - Extensive knowledge and hands-on experience with SCADA systems - Competence in interfacing with PLCs, RTUs, and sensors - Strong skills in alarm management and historical data logging - Capability for real-time monitoring setup If you have ...

...of the solution is unknown, a related problem can be solved to generate an initial approximation. For non-negative solutions, variables can be replaced with their square values to ensure positivity. Solution Methodology: The solution employs a two-stage optimization process: 1. **Auxiliary Function Approximation**: An auxiliary function is used to transform the problem into one that guarantees non-negative solutions. 2. **Two-Stage Optimization**: - **Stage 1**: Optimize the auxiliary function to approximate the solution. - **Stage 2**: Refine the approximation by solving the original problem. Example Scenarios: In a two-variable scenario, the problem may have solutions with both positive and negative components. However, only the non-negative solut...