IntegralResearch.Net Books and Technical Reports for sale. Ram Calculus : A Novel Approach to Integral/Partial-Differential Equations, Time/Shift-Variant Signal Processing, Graph/Network Operators, etc. Over 200 solutions of unsolved Math problems by OpenAI/Anthropic improved/extended. Over 4,000 recent research papers/patents in all areas of Science/Math/Engineering (STEM) improved/extended with more in the pipeline. Futureproof your research projects, publications, patents, product development, and processes. Update and improve relevant cases with Ram Calculus invented by Dr. Subbarao, Professor of ECE at Stony Brook University.

HUGE AMOUNT OF FREE MATERIALS ON RAM CALCULUS IS POSTED ON integralresearch.net. 33 textbook supplements and 621 research reports on unsolved math problems. Over 10,000 pages of math results! @Math_files @LechMazur @ylecun @sama @TaoistTerence @DarioAmodei @elonmusk @sundarpichai @AIatMeta

Improved/extended the solution of OpenAI for one of their 722 open math problems using my Ram Calculus theory (see integralresearch.net). More such improvements for dozens of other problems are on the way. The big AI companies should license my technology on Ram Calculus which is fully protected by pending patents. @sama @LechMazur @finkd @DarioAmodei @sundarpichai @Math_files @OpenAI

Progress made on over 200 unsolvedmath.com problems including Riemann Hypothesis and Navier-Stokes github.com/muralisubbarao2 . Over 3,000 recent research papers/patents improved/extended, including dozens from Nature family of journals. See integralresearch.net. Ram Calculus technology being offered for licensing to AI companies. @sama @DarioAmodei @sundarpichai @elonmusk

Benguria–Loss Ovals Problem on unsolvedmath.com : lower bound improved, and progress made. See github.com/muralisubbarao2 and integralresearch.net. @Math_files @physorg_com

Progress made on 292 unsolvedmath.com problems using Ram Calculus. See githum.com/muralisubbarao2/U…: A brief summary of the progress made on 292 unsolved math problems posted online (Aug. 2026). Three reports list 100 problems each. See integralresearch.net. @Math_files @sama @elonmusk @demishassabis @physorg_com @DarioAmodei @sundarpichai

Big result on Riemann Hypothesis using Ram Calculus. Lower bound of Lower bound improved from 67.3008527% derived by Anthropic improved to 67.3021361950% and an algorithm is provided for further improvement. All AI model companies should license my Ram Calculus technology at integralresearch.net. @sama @AnthropicAI @OpenAI @elonmusk @sundarpichai @DarioAmodei @finkd @GeminiApp

I have made six substantive improvements/extensions to the solutions of 10 problems provided by OpenAI using my confidential Ram Calculus theory. See integralresearch.net for some details. @OpenAI @sama

1400+ recently published papers with commercial value improved and extended using Ram Calculus. Check integralresearch.net.

1,160 papers/patents published between 2023-2026 improved and extended using the new Ram Calculus-- a calculus of local forward and inverse integrals for both continuous functions and graphs/networks, in 2 weeks. See integralresearch.net. AI companies need this. @sama @DarioAmodei @elonmusk @sundarpichai @finkid @satyanadella

RAM CALCULUS : THE ULTIMATE THEORY OF INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, AND GRAPH AND NETWORK OPERATIONS. SEE IntegralResearch.Net Unraveling the mystery of Nature- a puzzle of superposition through novel mathematical tools and techniques.