Drawing with Math vs Research Unlocked

Our “Drawing with Math (Vector and Pixel Art)” app combines two main components: * uniquely versatile image editors, * various methods of linear transformations of both user-entered and system images. Image editors are available in vector and pixelated forms. The editors offer such options as: * free drawing, * entry of all standard shapes, * entry of regular Cartesian, polar, or parametric function into image editor. List of several visually appealing functions is provided. The App stores 10 most recent user entries for each type. Vector images can be linearly transformed in a variety of user-defined ways: * 2x2 matrix, * eigenvalues and eigenvectors, * rotation by degree, * reflection across a given vector. Pixelated images can be compressed by segments to user-selected rank. Mathematical context for the above is provided, whenever possible. Explanation of image compression algorithms requires significant understanding of Linear Algebra, and is available in our “Matrix Solver Step by Step” app. Several bonus images with animations and editable greeting cards are also available. Suggestions and any other feedback are welcome! Write to us at graphmath@aol.com.

Research Unlocked, Knowledge Made Open Search the latest research. Understand it. Share it, in seconds. Research Unlocked lets you search millions of studies across PubMed, Europe PMC, and Semantic Scholar and turn them into clear, ready-to-share content without ever leaving the app. Built for patients, advocates, researchers, clinicians, and science communicators who want to make knowledge accessible to the people who need it most. HOW IT WORKS Search the literature: type a keyword, author, or condition and instantly search PubMed, Europe PMC, and Semantic Scholar at once. Find the study, tap Summarize, no copy-pasting required. Explore the Autoimmune Research Hub: browse studies organized by condition and body system, add keyword filters (treatment, mechanisms, patient outcomes, and more), and get summaries in Patient or Professional mode. Add your own article: paste text, enter a URL, or upload a PDF, Word, TXT, or HTML file. Works with DOIs, preprint servers, news articles, and most public web pages. Choose your settings: pick your audience (General Public, Patient, Professional, or Academic), output format (text, AI image, or both), and target platform. Generate and share: get platform-optimized summaries for Twitter/X, LinkedIn, and Instagram, then copy, save, or post directly to connected accounts in one tap. AUTOIMMUNE RESEARCH HUB A dedicated space for patients, caregivers, and clinicians navigating autoimmune disease. Search 40+ conditions across 10 body systems including Alopecia Areata, Lupus, Rheumatoid Arthritis, Multiple Sclerosis, Crohn's Disease, Type 1 Diabetes, Hashimoto's, Psoriasis, Sjogren's, and Vasculitis. Every result summarized in Patient or Professional language, ready to share. Body systems: Skin & Hair · Joints & Muscles · Neurological · Digestive & GI · Endocrine & Metabolic · Blood & Vascular · Kidney · Lung · Eye · Immune-Mediated WHAT YOU GET • Literature search across PubMed, Europe PMC & Semantic Scholar • Autoimmune Research Hub: 40+ conditions, 10 body systems • Platform-tailored posts for Twitter/X, LinkedIn, and Instagram • Four audience modes — General Public, Patient, Professional, Academic • 1-page structured research summary with full citation • AI-generated illustrations for your posts • Instagram carousel slides (5 slides, 1080×1080) and save to your camera roll • Dashboard to manage all articles and summaries YOUR PRIVACY • No account or registration required • No personal data collected, stored, or shared • Social connections (Twitter/X, LinkedIn) use official OAuth, credentials never stored in plain text • No advertising trackers or third-party analytics IMPORTANT DISCLAIMERS Not Medical Advice. Research Unlocked is a communication and summarization tool only. Nothing generated by this app constitutes medical advice, diagnosis, or treatment recommendations. Always consult a qualified healthcare professional before making health-related decisions. AI-Generated Content. Summaries are produced by AI and may contain errors or omissions. Always refer to the original source before sharing or acting on any information. No Endorsement. Inclusion of any article or research source does not constitute an endorsement by Research Unlocked. Search the science. Share the knowledge, one post at a time.