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[Mirror] Exploring Elliptic Curve Pairings

Time Stamp: February 2, 2024 11:01 AM - Modified On: February 2, 2024 - Published By:

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Vitalik Buterin via the Vitalik Buterin Blog This is a mirror of the post at https://medium.com/@VitalikButerin/exploring-elliptic-curve-pairings-c73c1864e627 Trigger warning: math. One of the key cryptographic primitives behind various constructions, including deterministic threshold signatures, zk-SNARKs and other simpler forms of zero-knowledge proofs is the elliptic curve pairing. Elliptic curve pairings (or "bilinear maps") are a recent addition to a 30-year-long history of using elliptic curves for cryptographic applications including encryption and digital signatures; pairings introduce a form of "encrypted multiplication", greatly expanding what elliptic curve-based protocols can do. The purpose of this

The promise and challenges of crypto + AI applications

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Time Stamp: January 31, 2024 4:49 AM - Modified On: January 31, 2024 - Published By:

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Author: Vitalik Buterin via the Vitalik Buterin Blog Special thanks to the Worldcoin and Modulus Labs teams, Xinyuan Sun, Martin Koeppelmann and Illia Polosukhin for feedback and discussion. Many people over the years have asked me a similar question: what are the intersections between crypto and AI that I consider to be the most fruitful? It's a reasonable question: crypto and AI are the two main deep (software) technology trends of the past decade, and it just feels like there must be some kind of connection between the two. It's

My Life As A Science Experiment ; Continues

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Time Stamp: September 11, 2023 1:04 PM - Modified On: September 11, 2023 - Published By:

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A year ago Every=Ten of Ten doctors told me with confidence that I would Not get better and could not survive with Kidney function of 4.1% and Creatinine of 12.32. Immediate dialysis leading to a hopeful transplant or; death. I rejected every doctors advice and had this idea that for as long as I can I would reverse engineer manually all the vital functions that kidneys influence. It's 13 months later and I function well using frequent blood tests to tweak my protocol. It's a 24/7 job with 20+

Do real estate companies benefit from using CRM?

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Time Stamp: July 20, 2023 10:54 AM - Modified On: July 20, 2023 - Published By:

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Customer Relationship Management (CRM) is a marketing strategy. This is aimed at managing and optimizing relationships with customers. CRM was originally developed for sales and marketing ideas. But other sectors such as the real estate sector also benefit from the use of a CRM system. There is also specific real estate software. In this article we will demonstrate that a solid property management software with CRM also offers many advantages for the real estate industry . A word of explanation about CRM and real estate One of the main advantages

The Evolution of AMMs

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Time Stamp: August 28, 2022 2:57 PM - Modified On: August 28, 2022 - Published By:

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The Complex History of the Future of Finance Author: Benny Attar Ever since the dawn of financial history, markets had to be made. Tracing back to 17th century spice trading where intermediaries bought and sold shares to offer investors higher liquidity, market making has evolved tremendously. Through equities, foreign exchange rates, and even physical assets, market makers today provide liquidity and are ready to buy any asset at publicly quoted prices. However, as time passes, financial markets evolve alongside it. The past several years, we’ve seen an incredible increase in

My Life As A Science Experiment ; Continues

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