Podcasts about polynomials

Polynomials are quintessential in machine learning for establishing relationships between outputs and inputs. However, there is also a field in cryptography which could not be made possible without polynomials - zero-knowledge technology. In zero-knowledge proof systems, computations are often represented as arithmetic circuits, and these circuits are translated into polynomials. This process is crucial for generating proofs that can demonstrate the correctness of computations without revealing the underlying data. The involved complexity explains the massive adoption hurdle for zk rollups compared to optimistic ones. Succinct aims to simplify the use of zero-knowledge proofs by providing a zkVM (SP1) that allows code written in languages like Rust to be proven in a privacy-preserving way. By doing so, it aims to lower the barrier to implementing zk-rollups and increase their adoption.Topics covered in this episode:Uma's background and her interest in zero knowledge techHow Succinct's story beganZK light clientsZK circuitsSP1 and the RISC-V instruction setThe prover networkUse casesZK rollups and commoditizing ZKPsIncentivizing proversSuccinct's business modelSupported blockchain applicationsBottlenecks in ZK adoptionSuccinct metricsSP1's competitive advantage and future roadmapThe real world impact of verifiabilityEpisode links:Uma Roy on XSuccinct on XSponsors:Gnosis: Gnosis builds decentralized infrastructure for the Ethereum ecosystem, since 2015. This year marks the launch of Gnosis Pay— the world's first Decentralized Payment Network. Get started today at - gnosis.ioChorus1: Chorus1 is one of the largest node operators worldwide, supporting more than 100,000 delegators, across 45 networks. The recently launched OPUS allows staking up to 8,000 ETH in a single transaction. Enjoy the highest yields and institutional grade security at - chorus.oneThis episode is hosted by Friederike Ernst.

L2Beat outlines the Fraud Proof Trilemma. Polynomial introduces Trade 2.0. And Succinnct releases a guide for upgrading an OP Stack chain into ZK. Read more: https://ethdaily.io/535

Zora introduces secondary markets for NFTs. Arbitrum Orbit supports USDC for gas payments. Polynomial Superchain goes live. And Candide introduces a Safe Recovery Module. Read more: https://ethdaily.io/523 Sponsor: Firefly is a one-stop Web3 social aggregator developed by Mask Network. Use one feed to connect with all users across Twitter, Lens, Farcaster, and all Web3 socials. Try it today at firefly.social.

Polygon releases the production-ready version of Plonky3. Polynomial introduces Polynomial Chain. LIFI suffers an exploit. And Uniswap releases its Uniswap Extension wallet. Read more: https://ethdaily.io/507 Sponsor: Harpie is an onchain security solution that protects your wallet from theft in real time. Harpie helps you detect and block suspicious transactions before they execute, safeguarding your assets from malicious attacks and scams. Try Harpie for free at harpie.io/ethdaily.

Welcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: Important open problems in voting, published by Closed Limelike Curves on July 2, 2024 on LessWrong. Strategy-resistance Identify, or prove impossibility, of a voting system which incentivizes 1. A strictly sincere ranking of all candidates in the zero-information setting, where it implements a "good" social choice rule such as the relative (normalized) utilitarian rule, a Condorcet social choice rule, or the Borda rule. 2. In a Poisson game or similar setting: a unique semi-sincere Nash equilibrium that elects the Condorcet winner (if one exists), similar to those shown for approval voting by Myerson and Weber (1993) and Durand et al. (2019). Properties of Multiwinner voting systems There's strikingly little research on multiwinner voting systems. You can find a table of criteria for single-winner systems on Wikipedia, but if you try and find the same for multi-winner systems, there's nothing. Here's 9 important criteria we can judge multiwinner voting systems on: 1. Independence of Irrelevant Alternatives 2. Independence of Universally-Approved Candidates 3. Monotonicity 4. Participation 5. Precinct-summability 6. Polynomial-time approximation scheme 7. Proportionality for solid coalitions 8. Perfect representation in the limit 9. Core-stability (may need to be approximated within a constant factor) I'm curious which combinations of these properties exist. Probabilistic/weighted voting systems are allowed. Thanks for listening. To help us out with The Nonlinear Library or to learn more, please visit nonlinear.org

Link to original articleWelcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: Important open problems in voting, published by Closed Limelike Curves on July 2, 2024 on LessWrong. Strategy-resistance Identify, or prove impossibility, of a voting system which incentivizes 1. A strictly sincere ranking of all candidates in the zero-information setting, where it implements a "good" social choice rule such as the relative (normalized) utilitarian rule, a Condorcet social choice rule, or the Borda rule. 2. In a Poisson game or similar setting: a unique semi-sincere Nash equilibrium that elects the Condorcet winner (if one exists), similar to those shown for approval voting by Myerson and Weber (1993) and Durand et al. (2019). Properties of Multiwinner voting systems There's strikingly little research on multiwinner voting systems. You can find a table of criteria for single-winner systems on Wikipedia, but if you try and find the same for multi-winner systems, there's nothing. Here's 9 important criteria we can judge multiwinner voting systems on: 1. Independence of Irrelevant Alternatives 2. Independence of Universally-Approved Candidates 3. Monotonicity 4. Participation 5. Precinct-summability 6. Polynomial-time approximation scheme 7. Proportionality for solid coalitions 8. Perfect representation in the limit 9. Core-stability (may need to be approximated within a constant factor) I'm curious which combinations of these properties exist. Probabilistic/weighted voting systems are allowed. Thanks for listening. To help us out with The Nonlinear Library or to learn more, please visit nonlinear.org

Episode 129I spoke with Kristin Lauter about:* Elliptic curve cryptography and homomorphic encryption* Standardizing cryptographic protocols* Machine Learning on encrypted data* Attacking post-quantum cryptography with AIEnjoy—and let me know what you think!Kristin is Senior Director of FAIR Labs North America (2022—present), based in Seattle. Her current research areas are AI4Crypto and Private AI. She joined FAIR (Facebook AI Research) in 2021, after 22 years at Microsoft Research (MSR). At MSR she was Partner Research Manager on the senior leadership team of MSR Redmond. Before joining Microsoft in 1999, she was Hildebrandt Assistant Professor of Mathematics at the University of Michigan (1996-1999). She is an Affiliate Professor of Mathematics at the University of Washington (2008—present). She received all her advanced degrees from the University of Chicago, BA (1990), MS (1991), PhD (1996) in Mathematics. She is best known for her work on Elliptic Curve Cryptography, Supersingular Isogeny Graphs in Cryptography, Homomorphic Encryption (SEALcrypto.org), Private AI, and AI4Crypto. She served as President of the Association for Women in Mathematics from 2015-2017 and on the Council of the American Mathematical Society from 2014-2017.Find me on Twitter for updates on new episodes, and reach me at editor@thegradient.pub for feedback, ideas, guest suggestions. I spend a lot of time on this podcast—if you like my work, you can support me on Patreon :) You can also support upkeep for the full Gradient team/project through a paid subscription on Substack!Subscribe to The Gradient Podcast: Apple Podcasts  | Spotify | Pocket Casts | RSSFollow The Gradient on TwitterOutline:* (00:00) Intro* (01:10) Llama 3 and encrypted data — where do we want to be?* (04:20) Tradeoffs: individual privacy vs. aggregated value in e.g. social media forums* (07:48) Kristin's shift in views on privacy* (09:40) Earlier work on elliptic curve cryptography — applications and theory* (10:50) Inspirations from algebra, number theory, and algebraic geometry* (15:40) On algebra vs. analysis and on clear thinking* (18:38) Elliptic curve cryptography and security, algorithms and concrete running time* (21:31) Cryptographic protocols and setting standards* (26:36) Supersingular isogeny graphs (and higher-dimensional supersingular isogeny graphs)* (32:26) Hard problems for cryptography and finding new problems* (36:42) Guaranteeing security for cryptographic protocols and mathematical foundations* (40:15) Private AI: Crypto-Nets / running neural nets on homomorphically encrypted data* (42:10) Polynomial approximations, activation functions, and expressivity* (44:32) Scaling up, Llama 2 inference on encrypted data* (46:10) Transitioning between MSR and FAIR, industry research* (52:45) An efficient algorithm for integer lattice reduction (AI4Crypto)* (56:23) Local minima, convergence and limit guarantees, scaling* (58:27) SALSA: Attacking Lattice Cryptography with Transformers* (58:38) Learning With Errors (LWE) vs. standard ML assumptions* (1:02:25) Powers of small primes and faster learning* (1:04:35) LWE and linear regression on a torus* (1:07:30) Secret recovery algorithms and transformer accuracy* (1:09:10) Interpretability / encoding information about secrets* (1:09:45) Future work / scaling up* (1:12:08) Reflections on working as a mathematician among technologistsLinks:* Kristin's Meta, Wikipedia, Google Scholar, and Twitter pages* Papers and sources mentioned/referenced:* The Advantages of Elliptic Curve Cryptography for Wireless Security (2004)* Cryptographic Hash Functions from Expander Graphs (2007, introducing Supersingular Isogeny Graphs)* Families of Ramanujan Graphs and Quaternion Algebras (2008 — the higher-dimensional analogues of Supersingular Isogeny Graphs)* Cryptographic Cloud Storage (2010)* Can homomorphic encryption be practical? (2011)* ML Confidential: Machine Learning on Encrypted Data (2012)* CryptoNets: Applying neural networks to encrypted data with high throughput and accuracy (2016)* A community effort to protect genomic data sharing, collaboration and outsourcing (2017)* The Homomorphic Encryption Standard (2022)* Private AI: Machine Learning on Encrypted Data (2022)* SALSA: Attacking Lattice Cryptography with Transformers (2022)* SalsaPicante: A Machine Learning Attack on LWE with Binary Secrets* SALSA VERDE: a machine learning attack on LWE with sparse small secrets* Salsa Fresca: Angular Embeddings and Pre-Training for ML Attacks on Learning With Errors* The cool and the cruel: separating hard parts of LWE secrets* An efficient algorithm for integer lattice reduction (2023) Get full access to The Gradient at thegradientpub.substack.com/subscribe

Do you need algebra in real life? Yes! From finance to AI engineering, algebra is essential for tech-savvy students looking to start a future-proof career. Learn more at https://www.ninthgradealgebramadeeasy.com/ LP Consulting LLC City: Monroe Address: 3648 Gruber Rd Website: https://get26k.com/ Email: lpciaff@gmail.com

Understanding algebra and its nuances is something every mathematics student wishes for . Let's work on getting there with the wonderful world of Algebra opening up. Keep learning by doing because that's the perfect way of understanding the concepts and applying them in real life situations. #mathisfun #learningbydoing #experientiallearning #mathematicssimplified

Algebraic expressions involve polynomials for which students struggle to find out the zeros. Here are some tips to find the zeros of polynomials in different types. #mathematicssimplified #mathisfun #learningbydoing #experientiallearning

Division of polynomials, El Pionero Científico, School Liceo Guatemala and School Marist Division of polynomials, inverse multiplication method. By Abner Alexander Mendez Celada, 5th. Baccalaureate. “Considering division as an inverse operation to multiplication, where knowing the product and one factor we want to know the other factor, the division of polynomials becomes easy to understand: it consists of just completing a multiplication.” #mars, #universe, #science, #space, #nasa, #galaxy, #science, #space, #mars, #future, #tech, #culture, #chemistry, #physics, #mathematics, #dimension, #theory , #movie, #humor, #intelligence, #stringtheory, #hadroncollider, #environment, #ecology, #elements, #globalwarming, #covid, #pandemic, #robots, #artificialintelligence #Math #Mathematics #logic #calculus #polynomials # division

Algebraic expressions involve polynomials. Degree of polynomial is an important thing to be understood so that we can build up the theory further. #mathematicssimplified #mathisfun #learningbydoing #experientiallearningofmathematics

Gautham Santhosh is the CoFounder of Polynomial Protocol. In this episode, we review a rising contender in the DeFi perps trading sector--Polynomial Protocol. This spring, Polynomial launched its decentralized perps exchange on Optimism using Synthetix as its source of liquidity. Since then, Polynomial has seen enormous growth to become one of the top Synthetix perps trading frontends with a total trading volume of $3.9B as of today. In this Quick Hit, we'll dig into what's attracting so much trading activity to Polynomial and how they plan to sustain their parabolic growth. ------

Loopring deploys an L3 on Taiko's Alpha-3 testnet. Pika Protocol V4 goes live. Flashstake introduces Flash 2.0. And Polynomial Protocol launches a seasonal trading campaign. Read more: https://ethdaily.io/673

Andrew Trudel is a Core Contributor at Kwenta. In this episode of The Edge Podcast, we cover one of the top decentralized perps trading protocols in DeFi by trade volume. With over $3.7B in lifetime trade volume, Kwenta is on a path to realizing Synthetix Founder Kain Warwick's original vision for DeFi leverage trading to outcompete crypto centralized exchanges and legacy finance. Given the launch of a 20-week program for Synthetix Perps Optimism Trading in April, we break down all you need to know about how perps traders are earning weekly rewards in OP and KWENTA by trading on Kwenta, and other Synthetix powered perps trading platforms like Polynomial, dHEDGE, and Decentrex. ------

Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2023.05.04.539355v1?rss=1 Authors: Balzekas, I., Trzasko, J., Yu, G., Richner, T., Mivalt, F., Sladky, V., Gregg, N., Van Gompel, J., Miller, K., Croarkin, P., Kremen, V., Worrell, G. Abstract: Numerous physiological processes are cyclical, but sampling these processes densely enough to perform frequency decomposition and subsequent analyses can be challenging. Mathematical approaches for decomposition and reconstruction of sparsely and irregularly sampled signals are well established but have been under-utilized in physiological applications. We developed a basis pursuit denoising with polynomial detrending (BPWP) model that recovers oscillations and trends from sparse and irregularly sampled timeseries. We validated this model on a unique dataset of long-term inter-ictal epileptiform discharge (IED) rates from human hippocampus recorded with a novel investigational device with continuous local field potential sensing. IED rates have well established circadian and multiday cycles related to sleep, wakefulness, and seizure clusters. Given sparse and irregular samples of IED rates from multi-month intracranial EEG recordings from ambulatory humans, we used BPWP to compute narrowband spectral power and polynomial trend coefficients and identify IED rate cycles in three subjects. In select cases, we propose that random and irregular sampling may be leveraged for frequency decomposition of physiological signals. Copy rights belong to original authors. Visit the link for more info Podcast created by Paper Player, LLC

Today we are joined by Julian Holguin, the CEO of Doodles. Julian reveals how Doodles is creating an IP powerhouse that will become the Pixar of Web3. The OG Doodles NFT collection is just the tip of the iceberg (their "Toy Story"), with even more exciting things to come. In this episode, Julian explains the power of combining narrative with technology, Doodles' business plan and collaboration with global brands, the secret to community content creation, Doodles' growth strategy and more! You won't want to miss this inside look at one of the most captivating NFT/IP houses in Web3! - - Timestamps: (00:00) Intro (01:26) Doodles Origin Story (08:44) Julian's Digital Media Background (15:41) Building the Pixar of Web3 (20:09) Why Leverage NFTs? (23:47) The Impact of Doodle's Floor Price (27:16) Quicknode (29:04) Synthetix (30:43) The Business Model (39:29) Collaborations with Global Brands (44:32) Why Choose Flow for Doodles 2? (51:12) Scarcity, Utility and Community Content Creation (58:49) The Doodle Bank (01:04:46) Doodle's Audience and Value Accrual - - Follow Julian: https://twitter.com/jholguin Follow Jason: https://twitter.com/JasonYanowitz Follow Santi: https://twitter.com/santiagoroel Follow Empire: https://twitter.com/theempirepod Subscribe on YouTube: https://tinyurl.com/4fdhhb2j Subscribe on Apple: https://tinyurl.com/mv4frfv7 Subscribe on Spotify: https://tinyurl.com/wbaypprw Get top market insights and the latest in crypto news. Subscribe to Blockworks Daily Newsletter: https://blockworks.co/newsletter/  - - This episode is brought to you by Quicknode. QuickNode is an end-to-end blockchain developer platform that makes building Web3 apps easy. Go to QuickNode.com and use code Empire for a free month on their feature-packed Build Plan! - - This episode is brought to you by Synthetix. Synthetix Perps is the most efficient decentralized perpetual futures engine, with 5/10 bp fees and up to 25x leverage. With a growing list of over 20 tradable markets, Synthetix Perps are available on Optimism via Kwenta.io and Polynomial.fi, with more coming soon! As a permissionless liquidity layer, Synthetix makes it easy for any protocol to integrate perps and earn 5%-10% of trade fees. - - Resources Doodles https://doodles.app/ https://twitter.com/doodles - -  Disclaimer: Nothing said on Empire is a recommendation to buy or sell securities or tokens. This podcast is for informational purposes only, and any views expressed by anyone on the show are solely our opinions, not financial advice. Santiago, Jason, and our guests may hold positions in the companies, funds, or projects discussed.

Although our guests this week are managing partners of a registered investment adviser, nothing in this podcast is investment, tax, legal or other financial advice. In this episode of Empire, Kyle Samani and Tushar Jain of Multicoin join us in their first public discussion since the fall of FTX and Solana's crash. We start with a detailed discussion about Multicoin's relationship with SBF and FTX: how they met, their views on SBF, watching the blow-up and the implications for Multicoin's fund. Kyle and Tushar then explain why they are still betting big on Solana, why most funds don't earn excess returns, how L2s offer false security, why defi isn't ready yet, prioritizing speed of security and more! Prediction: This will be the best episode of 2023. - - Timestamps: (00:00) Intro (01:37) SBF and FTX Backstory (15:48) Multicoin's Solana Bet (23:04) Quicknode (24:51) Synthetix (26:34) Conviction, Sizing and Earning Excess Returns (33:43) The Intersection of AI and Crypto (42:15) Why DeFi Isn't Ready (45:50) Decentralized Sequencers and the EVM (52:51) Poritizing Speed and L2 [False] Security (01:01:33) Multicoin's Bet on Filecoin (01:08:47) BTC and the SoV Use Case - - Follow Kyle: https://twitter.com/KyleSamani Follow Tushar: https://twitter.com/TusharJain_ Follow Jason: https://twitter.com/JasonYanowitz Follow Santi: https://twitter.com/santiagoroel Follow Empire: https://twitter.com/theempirepod Subscribe on YouTube: https://tinyurl.com/4fdhhb2j Subscribe on Apple: https://tinyurl.com/mv4frfv7 Subscribe on Spotify: https://tinyurl.com/wbaypprw Get top market insights and the latest in crypto news. Subscribe to Blockworks Daily Newsletter: https://blockworks.co/newsletter/  - - This episode is brought to you by Quicknode. QuickNode is an end-to-end blockchain developer platform that makes building Web3 apps easy. Go to QuickNode.com and use code Empire for a free month on their feature-packed Build Plan! - - This episode is brought to you by Synthetix. Synthetix Perps is the most efficient decentralized perpetual futures engine, with 5/10 bp fees and up to 25x leverage. With a growing list of over 20 tradable markets, Synthetix Perps are available on Optimism via Kwenta.io and Polynomial.fi, with more coming soon! As a permissionless liquidity layer, Synthetix makes it easy for any protocol to integrate perps and earn 5%-10% of trade fees. - - Resources Multicoin Capital https://multicoin.capital/ https://twitter.com/MulticoinCap - -  Disclaimer: Nothing said on Empire is a recommendation to buy or sell securities or tokens. This podcast is for informational purposes only, and any views expressed by anyone on the show are solely our opinions, not financial advice. Santiago, Jason, and our guests may hold positions in the companies, funds, or projects discussed.

In this episode of Empire, Robert Leshner - founder of Compound Labs - joins us to discuss how DeFi will evolve in the wake of Operation Choke Point 2.0 and the coordinated effort to debank crypto. We discuss what this means for today's DeFi protocols, the end of the DeFi Mullet thesis and how teams will respond. Then we explore Robert's thoughts on why MakerDAO's RWA strategy is short-sighted, the stablecoin landscape, the AppChain thesis and more! - - Timestamps: 00:00 Intro 00:24 Operation Choke Point 2.0 07:24 Compound Treasury and the DeFi Mullet 11:19 The Return of DeFi? 16:09 BTC vs ETH 19:17 Building in the US vs Offshore 26:25 Real World Assets 28:52 Quicknode ad 30:38 Synthetix Ad 32:17 Stablecoin Landscape 39:48 The AppChain Thesis and Value Accrual 48:24 Reputation, Limit Orders and Security - - Follow Rob: https://twitter.com/rleshner Follow Jason: https://twitter.com/JasonYanowitz Follow Santi: https://twitter.com/santiagoroel Follow Empire: https://twitter.com/theempirepod Subscribe on YouTube: https://tinyurl.com/4fdhhb2j Subscribe on Apple: https://tinyurl.com/mv4frfv7 Subscribe on Spotify: https://tinyurl.com/wbaypprw Get top market insights and the latest in crypto news. Subscribe to Blockworks Daily Newsletter: https://blockworks.co/newsletter/  - - This episode is brought to you by Quicknode. QuickNode is an end-to-end blockchain developer platform that makes building Web3 apps easy. Go to QuickNode.com and use code Empire for a free month on their feature-packed Build Plan! - - This episode is brought to you by Synthetix. Synthetix Perps is the most efficient decentralized perpetual futures engine, with 5/10 bp fees and up to 25x leverage. With a growing list of over 20 tradable markets, Synthetix Perps are available on Optimism via Kwenta.io and Polynomial.fi, with more coming soon! As a permissionless liquidity layer, Synthetix makes it easy for any protocol to integrate perps and earn 5%-10% of trade fees. - - Resources Compound https://compound.finance/ Bell Curve, S4 Premiere: A Journey Into The Dark Forest https://spoti.fi/3MpTjWH - -  Disclaimer: Nothing said on Empire is a recommendation to buy or sell securities or tokens. This podcast is for informational purposes only, and any views expressed by anyone on the show are solely our opinions, not financial advice. Santiago, Jason, and our guests may hold positions in the companies, funds, or projects discussed.

In this episode of Empire, we are joined by Kain Warwick, founder of Synthethix and crypto OG. Kain explains the concept of centralized insanity and how crypto is finally ready for the next bull cycle. We cover Synthetix's evolution, Ethereum's outlook, crypto infrastructure, what will cause the shift to decentralized products, DeFi's most important metric and more! Kain is one guest you won't want to miss! - - Timestamps: (00:00) Introduction (02:18) DeFi Summer 2020 (05:29) The Synthetix Evolution (09:29) Ethereum's Outlook and Alt L1 Cycles (23:25) A Shift From Infra to Apps (27:47) Quicknode Ad (29:34) Synthetix Ad (31:13) Centralized vs Decentralized Trading (36:20) Regulators are Stuck in the Past (43:43) Future of Stablecoins (47:08) Centralized Insanity, Base and DeFi Summer 2.0 (52:43) A Focus on Revenue (01:01:30) Synthetix v3 and the Value of Composability (01:18:34) Fire Round - - Follow Kain: https://twitter.com/kaiynne Follow Jason: https://twitter.com/JasonYanowitz Follow Santi: https://twitter.com/santiagoroel Follow Empire: https://twitter.com/theempirepod Subscribe on YouTube: https://tinyurl.com/4fdhhb2j Subscribe on Apple: https://tinyurl.com/mv4frfv7 Subscribe on Spotify: https://tinyurl.com/wbaypprw Get top market insights and the latest in crypto news. Subscribe to Blockworks Daily Newsletter: https://blockworks.co/newsletter/  - - This episode is brought to you by Quicknode. QuickNode is an end-to-end blockchain developer platform that makes building Web3 apps easy. Go to QuickNode.com and use code Empire for a free month on their feature-packed Build Plan! - - This episode is brought to you by Synthetix. Synthetix Perps is the most efficient decentralized perpetual futures engine, with 5/10 bp fees and up to 25x leverage. With a growing list of over 20 tradable markets, Synthetix Perps are available on Optimism via Kwenta.io and Polynomial.fi, with more coming soon! As a permissionless liquidity layer, Synthetix makes it easy for any protocol to integrate perps and earn 5%-10% of trade fees. - - Resources Synthetix https://synthetix.io/ https://twitter.com/synthetix_io - -  Disclaimer: Nothing said on Empire is a recommendation to buy or sell securities or tokens. This podcast is for informational purposes only, and any views expressed by anyone on the show are solely our opinions, not financial advice. Santiago, Jason, and our guests may hold positions in the companies, funds, or projects discussed.

Large Field Polynomial Inflation: Parameter Space, Predictions and Double Eternal Nature by Manuel Drees et al. on Tuesday 22 November Simple monomial inflationary scenarios have been ruled out by recent observations. In this work we revisit the next simplest scenario, a single--field model where the scalar potential is a polynomial of degree four which features a concave ``almost'' saddle point. We focus on trans--Planckian field values. We reparametrize the potential, which greatly simplifies the procedure for finding acceptbale model parameters. This allows for the first comprehensive scan of parameter space consistent with recent Planck and BICEP/Keck 2018 measurements. Even for trans--Planckian field values the tensor--to--scalar ratio $r$ can be as small as $mathcal{O}(10^{-8})$, but the model can also saturate the current upper bound. In contrast to the small--field version of this model, radiative stability does not lead to strong constraints on the parameters of the inflaton potential. For very large field values the potential can be approximated by the quartic term; as well known, this allows eternal inflation even for field energy well below the reduced Planck mass $M_{rm Pl}$, with Hubble parameter $H sim 10^{-2} M_{rm Pl}$. More interestingly, we find a region of parameter space that even supports {em two phases of eternal inflation}. The second epoch only occurs if the slope at the would--be saddle point is very small, and has $H sim 10^{-5} M_{rm Pl}$; it can only be realized if $r sim 10^{-2}$, within the sensitivity range of next--generation CMB observations. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2209.07545v2

Large Field Polynomial Inflation: Parameter Space, Predictions and Double Eternal Nature by Manuel Drees et al. on Monday 21 November Simple monomial inflationary scenarios have been ruled out by recent observations. In this work we revisit the next simplest scenario, a single--field model where the scalar potential is a polynomial of degree four which features a concave ``almost'' saddle point. We focus on trans--Planckian field values. We reparametrize the potential, which greatly simplifies the procedure for finding acceptbale model parameters. This allows for the first comprehensive scan of parameter space consistent with recent Planck and BICEP/Keck 2018 measurements. Even for trans--Planckian field values the tensor--to--scalar ratio $r$ can be as small as $mathcal{O}(10^{-8})$, but the model can also saturate the current upper bound. In contrast to the small--field version of this model, radiative stability does not lead to strong constraints on the parameters of the inflaton potential. For very large field values the potential can be approximated by the quartic term; as well known, this allows eternal inflation even for field energy well below the reduced Planck mass $M_{rm Pl}$, with Hubble parameter $H sim 10^{-2} M_{rm Pl}$. More interestingly, we find a region of parameter space that even supports {em two phases of eternal inflation}. The second epoch only occurs if the slope at the would--be saddle point is very small, and has $H sim 10^{-5} M_{rm Pl}$; it can only be realized if $r sim 10^{-2}$, within the sensitivity range of next--generation CMB observations. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2209.07545v2

Compound Pauses low liquidity tokens, Armada Network unveils its decentralized frontend platform, the Arbitrum Nova block explorer is now live, and Polynomial shuts down its Gamma Vault. Newsletter: https://ethdaily.substack.com

Offchain Labs acquires Prysmatic Labs, Polynomial introduces single-click cross-chain deposits, Zerion raises a $12.3 million Series B, and Uniswap updates its web application. Newsletter: https://ethdaily.substack.com

Large Field Polynomial Inflation: Parameter Space, Predictions and Double Eternal Nature by Manuel Drees et al. on Sunday 18 September Simple monomial inflationary scenarios have been ruled out by recent observations. In this work we revisit the next simplest scenario, a single--field model where the scalar potential is a polynomial of degree four which features a concave ``almost'' saddle point. We focus on trans--Planckian field values. We reparametrize the potential, which greatly simplifies the procedure for finding acceptbale model parameters. This allows for the first comprehensive scan of parameter space consistent with recent Planck and BICEP/Keck 2018 measurements. Even for trans--Planckian field values the tensor--to--scalar ratio $r$ can be as small as $mathcal{O}(10^{-8})$, but the model can also saturate the current upper bound. In contrast to the small--field version of this model, radiative stability does not lead to strong constraints on the parameters of the inflaton potential. For very large field values the potential can be approximated by the quartic term; as well known, this allows eternal inflation even for field energy well below the reduced Planck mass $M_{rm Pl}$, with Hubble parameter $H sim 10^{-2} M_{rm Pl}$. More interestingly, we find a region of parameter space that even supports {em two phases of eternal inflation}. The second epoch only occurs if the slope at the would--be saddle point is very small, and has $H sim 10^{-5} M_{rm Pl}$; it can only be realized if $r sim 10^{-2}$, within the sensitivity range of next--generation CMB observations. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2209.07545v1

Jason Chats with Connor Wake

  Director of developer experience at the Urbit Foundation ~lagrev-nocfep on Urbit @sigilante on twitter   What is a sigil? What is the most important thing you've learned about teaching? Driven by authoritarian high modernism Top down imposition Structural way of understanding context Industrial revolution Ten years ago there was online education MIT open course where Open up the content to everyone and it will create revolution Introducing a model that the person gets illuminated from Humans are good at metaphors Give them a framework and people will figure it out These things are measurable Open problem in computer science Two classes of complexity Polynomial time Vastly exponentially complicated than things that can be solved in a certain time NP on the hard problems Has to do with the structure of our attention 9 years experience Philosophy of pedagogy Why doesn't it make it easy to open up knowledge? How do you make something relevant? Strongly in favor of hyper individualist approach to teaching Interdisciplinary Try everything, some things stick Analogical reasoning How do you improvise for metaphors? Why is it so disincentivized to do improv? Input output model doesn't quite work because the context is so vast The model of the areas of learning is helpful but not 100% accurate Tutorial method does not scale but its the most effective Really hard problem P=NP what is it? When I'm working on a particular mode, gumption traps, energy sinks, takes a lot of agency to activate yourself out of the state Rumsfeld called the unknown unknowns What questions do you have? Is a better question than What are your questions? What do you do when you need to solve a problem? Someone tried to build a solution for what Neal is talking about at 10 minutes in Go to the fringes to get the edge cases What is the advantage of a low status source? How do you make your questions and answers legible? Subtopics and how to use them? What is the demand for previous for previous programmers learning Urbit? What is the percentage of programmers who are learning Urbit? What was the first iteration of home school? Dozen people finished Now they have 60 people finishing Why does Urbit have a weird perception from people? Once you hear about it you go into the rabbit hole and it never stops Its a web within a web Its like a secret door in a house didn't you know about it Pitch the idea of the treasure hunt powered by Urbit Why did stars survive in demand? How much did they survive? How much does it cost to buy a star now versus the 2022 downturn in crypto How do you get the right answer as opposed to the fast answer? Only developers who are autodidactic like and stay with Urbit Who is Richard Stallman? LISP He built community around GANU, Linux? Invented the free software  What is functional programming? What is the relationship between mental divergence and programming? What is the third type of developers in relation to something like Urbit? The arguers What is the fourth type of developers in relation to something like Urbit? Rebellious and devious enough  What is the relationship between Bitcoin and Urbit? What are the main challenges you see in terms of my crazy idea for the treasure hunt? What are the options to build this quickly? This is the main problem Is it a web page driven experience? Build an urbit app and get them to install it You would have to figure out how to do the call outs to the phone device Hot or cold game Only track wether they found it or not How can we effectively expose underlying things to the urbit server? 24 minutes in Should we think about Urbit as a operating system? Who is experimenting with Urbit moons as internet of things? Urbit app that plays a tone with your wifi strength How can I think about building the prototype in the real web, so that I can destroy it and rebuild with urbit? Urbit is the database and the identity Riding back whatever you need as permanent state  July and August there will be an urbit hackathon Online What are the dates? Hooner, front end dev, and domain expert What is a team? Where is it? Assembly conference in Miami at the end of September Why do people care about Urbit? Stewart Christoff What do you think of the complex about trying to create things that you dont want to get paid for? What is Immun Async paid money What are your thoughts on ADA (Cardano)? Does Urbit.org do the micropayments? bounties, apprecintinceships and proposals Get stars Why did stars go up when the rest of the crypto market went down? How can I as someone non technical help with the development on Urbit? Noah Kumin At marsreview on twitter (didn't work, find it again) Launch party in NYC Ongoing bounties Mars review of books, launched with the combine, an urbit foundation Who at the mars review of books? Who is Jonathan Blow? Who are the original founders of the web and why didn't they get paid? What should we know about institutional capture? Why do you disagree with me about the inevitably of institutional capture? People who look at the project and see the knock kernel cooling More chaotic to less chaotic Perceive a teleoligical purpose We are going to win because we  Its a happy accident If we don't kick in and make it happen What did Aristotle say about the Good? You have to drop everything What are your thoughts about the open future? What is the macrocosmic conceptual of the rant stewart went on at 45 minutes in? Hellbaked You can never have high value? This selects very hard for survival No balance Everything that has value has been built in hell Why do things suck? Essay by Nick Land The assertion that everything with value is built in Hell How do you cull low value? Why does evil exist? What is the hard darwinian view? How to you square the harmonious idea of aesthetically and ethicall appealing to us versus the violent nature? Part of the answer is that there are always components of existence Manifest physical reality, creation What is a world soul? This means that the only way for intelligence or spirits to enter into higher states is by facing full oppositional world Its not going to get easier, its always going to be a struggle, its a whitepill, build something that survives How do you build exit based on natural principles? If you see a ferret, you know that a rabbit exists If you see a flower, you know there is something like a sun How do you steer human moths away from the web 2.0 world and attract them to a new way of reclaiming attention? The revolution will not be AB tested Why is modernity difficult on spiritual deviants? Why was it ok to be Wierder in the 90s? This explains gen X Is the employer and employee relationship something we should perpetuate into the open future? How do DAOS fit into this? When was the joint stock firm invested? When was the Bar invented?

Alchemy releases an NFT API for Arbitrum One, Coinbase ENS subdomains are now claimable, Polynomial launches a stablecoin put selling vault, and MakerDAO formalizes its $100 Million DAI loan to Huntingdon Valley Bank. Newsletter: ethdaily.link/substack

How can you run your own experiments? This episode will help you understand the basic concepts of polynomial regressions and how you can use them within your team and organization to run better experiments.If you have any questions or comments, please reach out to us at podcast@arcosanalytics.comSTAY CONNECTED■ Twitter: https://twitter.com/arcosanalytics■ LinkedIn: https://www.linkedin.com/company/arcosanalytics

GCSE Maths Revision with Jonas provides you easy-to-follow theory and examples. With years of experience Jonas helps students to improve their confidence and skills so that they would be able to succeed in their exams. Listen to the podcast now and let's turn your exam experience into a success story. This episode covers: 1. Arithmetic sequence2. Quadratic sequence3. Cubic sequence4. Geometric sequenceResources: ⋅ Questions for this topic: http://studysquare.co.uk/test/Maths/AQA/GCSE/Polynomial-sequences ⋅ Exam Revision Guide: https://www.studysquare.co.uk/pdf ⋅ Thousands of exam-like questions: https://www.studysquare.co.uk/tests ⋅ Public past papers: https://www.studysquare.co.uk/papers/Maths ⋅ Online tutoring: https://www.studysquare.co.uk/tutoring ⋅ Follow Jonas on Instagram: https://www.instagram.com/jonastutoring/ ⋅ Follow Jonas on TikTok: https://www.tiktok.com/@jonastutoring? ⋅ Follow Jonas on Twitter: https://twitter.com/jonastutoring/ ⋅ Podcast Privacy policy: https://www.spreaker.com/privacy

Who would win in a saint fight, Saint Nick or Saint Patty? We aren't sure either… but we are sure that God was in Jon's bowels, dispensing grace on his casserole-based dysentery. Discussion Starters: Magic the Gathering card or Catholic Saint, the proper and improper uses of “by the grace of God,” taxing religious institutions, Thanks for Punderstanding, how to stop living in sin, holy cows and holy poop.

Leonid Gurvits; Los Alamos National Laboratory 16 February 2007 – 11:30 to 12:30

15 February 2007 – 16:00 to 17:00

Lesson 1, Math.  Learn about Polynomial Expressions.  See below for a quick outline. (11:35) Simplifying Expressions (16:06) Parentheses (18:16) Order of Operations - PEMDAS (30:26) Practice Problems Q1 - 7 (31:15) Simplifying Expressions Q8 – 10 Select this link for a blank log sheet or this link for a continuously updated log sheet of current podcasts. Transcripts and worksheets available here. The handout mentioned in this podcast is located at the transcripts/worksheets link above. Music by TimMoor and ZenMan from Pixabay used under terms of service.  

3rd Week of October, 2021 *****

Mary and John attempt to address their frustrations with the school drop/off pick up lines and end up exposing John's "jaguar facts" along the way. --- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/app

This Revision Hub Short is all about polynomial division and touches on how you can use the factor theorum to quickly check your working during an exam. We hope you enjoy! Make sure to follow us on Instagram for worked examples, practice questions and to be the first to hear new episodes

Steve R. Valentor is the managing partner of Polynomial Ventures, technology business owner, investor and entrepreneur. Steve's companies focus is investing in early stage technology companies. Known for Venture Capital | Engineering | Technology Startup | Valuation | M&A| Semiconductors. Steve discusses some interesting statistics about women working in finance, technology, and other traditionally male-dominated professions. Thank you for listening & supporting the podcast :) https://www.buymeacoffee.com/sneakies https://www.paypal.com/paypalme/anonymouscontent *Royal Girl -Funds will go to sound and editing. Paypal (friends & family) petcarebuddies(at)gmail(dot)com https://www.patreon.com/sneakies Instagram @marylinartist LinkedIn: Marylin Hebert Please Subscribe to our YouTube:) https://www.youtube.com/user/Fellinijr/videos Zombie Diaries: https://youtu.be/tBmgi3k6r9A Our books :) Young Adult wizard book series: "Margaret Merlin's Journal" by A. A. Banks at Amazon! :) https://www.instagram.com/margaretmerlinsjournal/ MMJ Book I The Battle of the Black Witch https://www.amazon.com/Margaret-Merlins-Journal-Battle-Black-ebook/dp/B01634G3CK MMJ Book II Unleashing the Dark One Science fiction action adventure https://www.amazon.com/Margaret-Merlins-Journal-Unleashing-Dark-ebook/dp/B01J78YH6I MMJ Book III The Mask of the Parallel World An Adventure in Italy https://www.amazon.com/Margaret-Merlins-Journal-Parallel-World-ebook/dp/B01KUGIZ8W/ MMJ Book IV The Quest for the Golden Key https://www.amazon.com/Margaret-Merlins-Journal-Quest-Golden-ebook/dp/B076FTTDQN Top kids podcast: Enchanting Book Readings https://podcasts.apple.com/us/podcast/enchanting-book-readings-reviews/id1498296670 Other awesome podcasts: Enchanting Book Readings, Film Addicts, Thrilling Stories, Girl's Guide To Investing, Legitimately Mallie & The Haunting Dairies of Emily Jane. Support this podcast: https://anchor.fm/girlmogul/support DISCLAIMER: For entertainment purposes only. We are not a licensed broker. Investments are risky. We do NOT give advice. You are 100% responsible for any investments you make. Please do your due diligence, study, learn and meet with a licensed broker who is highly qualified with great reviews. Support this podcast: https://anchor.fm/girlmogul/support --- Support this podcast: https://anchor.fm/girlmogul/support

New perspectives on supersymmetric gauge theories

Hi, hi, hi! This week Ms. Donovan goes over the Mathematician of the Week (Jean Springer), the Introduction to Polynomials, Adding and Subtracting Polynomials, as well as the Assessment #8 Overview! See you in class!

Four months later! Your command staff catches up on family, sports, politics, and a whole lot of game business, including Tim's Top Ten of 2020, Richard's return to Devil May Cry, and our look back at The Polynomial. Plus: The Steam Randomizer comes through for Richard at last. We missed you! Welcome back!

Running through the apps I come across hottie Markyse.Insa:@kapturedbykyse.I ask him to be on my podcast before we got to meet to do the nasty. In this episode, we talk about What happened to Kanye? Does every guy want a Kim K? Discussing with each other their perception of what poly is and how can you navigate in a healthy manner.

Niggas will sell they soul to tap dance for the white man, even at the expense of their race and actual justice.... “Polynomials,” is the 22nd episode of ‘From The Outside” where our opinions might not be correct but f*** it we gone say it anyway. On this episode we discuss: Breonna Taylor Indictment, Austin Teaching, BLM Needing Leadership & more. Tune into the discussion w us @FTOPod1

Walter and Damien from Taylor Polynomial stop by to talk about random stories from playing in the band as well as their jobs working at PRS guitars and Jailbreak Brewing.

Factoring Polynomials Completely

We will be talking about lesson 2.8

Solving Polynomial Equations in Factored Form

So I decided to include the quote here so yeahhh ... “Do what is right , not what is easy nor what is popular” Stay Littttt

We are familiar with the formula for solving a quadratic equation where the highest power of the unknown is a square. The quest for a similar formula for equations where the highest power is three, four five or more led to dramatic changes in how this question was regarded. Powerful...