Albert Hyunsung Shim, founder of the Institute for Mathematical Research, which has offices in both Korea and the United States, is set to release a new mathematics book this August titled “Why dy/dx Acts Like a Fraction”, which offers a rigorous explanation of the true nature of the derivative notation dy/dx.

[Albert Hyunsung Shim]

In this upcoming work, Shim reveals that although dy/dx is not technically a fraction, its behavior can be mathematically justified as if it were one—based on the concept of limits, the foundational idea behind calculus. His research sheds new light on a symbol that has been used repeatedly in calculus education from high school to university, often explained only through intuition or memorized rules.

For generations, students have accepted identities such as “dy/dx = (dy/du) × (du/dx)” and “dy/dx = 1 / (dx/dy)” as axiomatic or purely intuitive without seeing a formal justification. Even Gottfried Wilhelm Leibniz, credited with introducing the notation, is not known to have provided a rigorous rationale for its structure.

Shim seeks to overturn this longstanding gap in mathematical pedagogy. His book reconstructs the internal logic behind dy/dx by employing the mathematical definition of limits. In doing so, he demonstrates the logical necessity for dy/dx to behave like a fraction, not just in appearance but in the underlying reasoning.

The author anticipates that his findings will have practical implications in math education. By offering students a conceptual framework grounded in mathematical reasoning, rather than rote memorization, the book could foster deeper understanding of calculus and its foundational principles. The book will be published both in Korea and internationally. An accompanying academic paper is also expected to become a valuable resource in the field of mathematics education.

The book has already garnered early praise from academic circles. Professor Hemant K. Singh of the Department of Mathematics at the University of Delhi, a leading institution in India, shared his thoughts after reviewing the manuscript.

“This work is a game changer, particularly for the new learners of differential calculus. It makes the operation of calculus so mind-blowingly intuitive that the students do not have to remember all its nitty-gritties. The results are thoughtfully derived from the fundamental rules of calculus. This  research is indeed made-easy for both the teachers and the students.”

Albert Hyunsung Shim is a seasoned author of mathematics textbooks widely used in the U.S., particularly for AP Calculus and international math competitions. He currently heads the Institute for Mathematical Research and is slated to serve as a question setter for the Indian Mathematical Olympiad starting this fall.

“Mathematics derives its true value from uncovering and applying the logical structures that lie beneath its surface,” said Shim. “I hope this book inspires students to appreciate the inherent beauty of mathematics in a new way.”

Media Contact

Organization: Masterprep

Contact Person: Olivia Smith

Website: http://www.masterprep.net

Email: Send Email

City: San Francisco

State: CA

Country:United States

Release id:31952

The post Albert Hyunsung Shim to Publish New Mathematics Book Explaining Why dy over dx Behaves Like a Fraction appeared first on King Newswire. This content is provided by a third-party source.. King Newswire makes no warranties or representations in connection with it. King Newswire is a press release distribution agency and does not endorse or verify the claims made in this release. If you have any complaints or copyright concerns related to this article, please contact the company listed in the ‘Media Contact’ section

In a world drowning in data, Victor Umozurike turns insight into impact. From leading customer strategies at Lincolnshire Co-op to shaping the AI-driven platform OutboxCom, he bridges analytics and action—helping brands make smarter, human-centered decisions that drive growth.

Today, customer attention is fleeting and digital chaos reigns, the difference between growth and stagnation often comes down to one thing: insight. Not just raw data—but insight that’s human-centered, strategically aligned, and actionable at every level of decision-making.

It’s the kind of insight that once fueled the rise of data giants like Thomas H. Davenport and customer-centric disruptors like Salesforce’s Marc Benioff. And today, it’s being reimagined for a new generation by a rising voice from the Global South: Victor Umozurike.

With a career that spans telecoms, finance, consulting, and retail across Africa and the UK, Umozurike is quietly shaping the future of customer experience—one intelligent dashboard, one AI-powered decision, and one transformative insight at a time.

Beyond the Buzzwords: From Data to Direction

Where many data professionals stop at analysis, Umozurike goes further—connecting dots that others miss. At Lincolshire Co-op, he’s more than a Customer Insights Analyst; he’s the connective tissue between data and strategy, helping marketing, retail, and proposition teams build not just campaigns, but clarity.

His day-to-day reads like a high-stakes orchestration: building executive-level dashboards, decoding complex customer journeys, tracking KPIs across retail arms like Food, Travel, and Funeral services. But the real magic lies in what he does with the data—transforming reports into narratives, and dashboards into decisions.

At the heart of his process is a rare ability to turn sprawling data systems into personalized, people-first strategies. Whether mapping a new store’s location based on behavioral segmentation, or developing a unified member engagement plan, Umozurike ensures that no decision is made in the dark.

OutboxCom: One Dashboard. Infinite Possibilities.

That same thinking found a powerful outlet in OutboxCom—a sleek, AI-powered marketing and CRM platform designed to unify and supercharge campaigns across every channel. Think Mailchimp, Google Ads, WhatsApp, and LinkedIn—all harmonized in real-time, with AI doing the heavy lifting.

Umozurike played a pivotal role in shaping the user insight layer of OutboxCom, bringing his field-tested expertise in customer journey mapping, segmentation, and campaign optimization to the platform’s foundation.

Thanks to his input, OutboxCom isn’t just smart—it’s strategic. It knows when to recommend a budget shift, when to auto-generate winning ad copy, and how to track customer engagement without the lag or complexity that plagues legacy platforms.

For the marketers using it, that means no more juggling five tools. No more guessing. Just clear, unified action—driven by real-time data, automated intelligence, and design thinking.

A New Standard for Strategic Insight

What sets Umozurike apart isn’t just his toolkit—though with fluency in Power BI, SQL, Tableau, DAX, and CRM systems from Salesforce to HubSpot, it’s formidable. It’s his ability to bridge the technical and the tactical, the analytical and the emotional.

He doesn’t just ask, What is the data saying?
He asks, What does the customer need? What’s the business goal? And how do we make both meet—beautifully?

It’s this human-centered intelligence that powers his work with community insight projects, with regulated industries, and with rapidly evolving digital products. And it’s the reason his strategies continue to drive measurable impact: sharper campaign performance, higher NPS, increased customer retention, and stronger brand alignment.

From the Global South to the Global Stage

In many ways, Victor Umozurike represents a new kind of data leader—one forged in the complexity of emerging markets, shaped by global best practices, and fluent in the business language of both the boardroom and the backend.

As companies across continents strive to unify data, personalize engagement, and future-proof their customer strategies, voices like his are no longer optional—they’re essential.

Because in a world overflowing with information, the advantage doesn’t lie in having more data.
It lies in understanding it better—and acting on it smarter.

And that’s exactly what Victor Umozurike was born to do.

Media Contact

Organization: Outbox Technology Inc.

Contact Person: Victor Umozurike

Website: https://www.outbox.com

Email: Send Email

Address:3575 Boulevard Saint-Laurent,

Address 2: Suite 705 Montréal, QC, H2X 2T7, Canada

Country:Canada

Release id:31969

The post From Insight to Impact – The Quiet Data Visionary Powering Smarter CRM Innovation appeared first on King Newswire. This content is provided by a third-party source.. King Newswire makes no warranties or representations in connection with it. King Newswire is a press release distribution agency and does not endorse or verify the claims made in this release. If you have any complaints or copyright concerns related to this article, please contact the company listed in the ‘Media Contact’ section

Playtech is making waves in the online bingo space with its latest partnership deal, teaming up with BVGroup to become the exclusive bingo provider for BetVictor and Heart Bingo. This move is set to shake up the market by bringing a fresh, dynamic experience to players on both platforms.

Under this new arrangement, users at BetVictor and Heart Bingo will now gain access to a broad selection of networked games running on Playtech’s state-of-the-art bingo platform. Beyond the traditional bingo games, players will also be treated to bespoke side games developed by Playtech’s Eyecon studio, promising an engaging and varied gaming experience.

Marat Koss, Playtech’s VP of Interactive Gaming, expressed enthusiasm about the partnership, describing it as a strategic step forward. He highlighted how BVGroup’s transition to Playtech’s advanced bingo platform is an important milestone. Heart Bingo stands as one of the industry’s leading and most iconic brands, underlining the significance of this collaboration. He also emphasised that Playtech looks forward to working closely with BVGroup to maximise Heart Bingo’s potential and strengthen Playtech’s position as the largest B2B bingo network globally.

On the BVGroup side, the excitement is equally palpable. The company believes that this partnership will enhance BVGroup’s offerings and help solidify its market standing. The collaboration is seen as a gateway to a more engaging player experience and opens doors for new campaigns and exciting projects in the near future.

This partnership fits perfectly into the broader trend of innovation in online bingo. Playtech’s platform brings a combination of scalability, reliability, and creativity that makes it a natural choice for operators looking to deliver top-tier bingo content. For BVGroup, aligning with Playtech means tapping into one of the industry’s largest and most sophisticated networks, which can drive player engagement and retention through diverse gaming options.

For players, this means more than just access to their favourite bingo games. The integration with Playtech’s platform means smoother gameplay, better graphics, and new side games that add layers of excitement beyond the traditional bingo halls. It’s a clear win for those who enjoy a vibrant and interactive gaming atmosphere.

Looking ahead, the partnership is expected to be a long-term collaboration, with both sides committed to growing the bingo segment. With Playtech’s innovative platform and BVGroup’s strong brand portfolio, the combined force looks well-positioned to set new standards in the online bingo world.

To sum up, this deal is more than just a business agreement. It’s a bold step toward evolving the bingo experience in a way that benefits operators and players alike. With BetVictor and Heart Bingo now powered by Playtech’s robust technology, the future looks bright for online bingo fans craving a fresh and thrilling way to play.

As the industry watches this partnership unfold, one thing is clear: both Playtech and BVGroup are ready to call ‘house’ on new opportunities and continued success.

As Web3 technologies continue to revolutionize finance and digital ownership, Cryptosolo is leading a new wave of crypto accessibility by combining secure cloud mining services with legal compliance and ease-of-use for beginners. The result: a new path for global users to earn trusted passive income through cryptocurrency—safely, legally, and without technical know-how.

For many, the promise of decentralized finance (DeFi), NFTs, and blockchain-based income remains out of reach due to complexity, security concerns, or legal uncertainty. Cryptosolo bridges that gap with a regulated cloud mining platform that allows even complete newcomers to participate in Bitcoin and Web3 wealth generation—with no hardware, no coding, and no crypto expertise required.

The Convergence of Cloud Mining and Web3

The rise of Web3—characterized by decentralized platforms, peer-to-peer systems, and tokenized ownership—is fundamentally changing how people interact with the internet and earn income. Yet while innovation accelerates, many users are left behind due to high barriers to entry.

Cloud mining offers a Web3-compatible solution that is both scalable and beginner-friendly. By renting processing power from green-powered mining facilities through a transparent smart contract interface, users can begin earning Bitcoin passively—while remaining compliant with global financial laws.

“Web3 isn’t just about ownership—it’s about empowerment,” said William John Speechley, Chief Strategy Officer at Cryptosolo. “Our platform makes earning in Web3 safe, trusted, and legal for everyone—from students in developing nations to retirees in major economies. You don’t need to be a developer or investor to participate anymore.”

Why This Matters in 2025

In 2025, more than 1 billion people hold digital wallets, and blockchain networks are driving everything from gaming and entertainment to finance and AI. However, income inequality remains a core challenge, especially for unbanked populations or individuals with limited investment capital.

Cryptosolo’s platform is designed for accessibility and legitimacy. All mining contracts are operated through licensed facilities in jurisdictions with clear crypto laws, and all profits are tracked and paid out daily in users’ preferred tokens.

The process is simple, transparent, and risk-controlled—ideal for those seeking steady supplemental income rather than speculation or risky trading.

What Cryptosolo Offers to New Users

1. Legally Compliant Cloud Mining Contracts

All contracts are executed under regulated frameworks, ensuring users are protected and earnings are legitimate. Operations adhere to KYC/AML standards and global compliance benchmarks.

2. $15 Free Bonus with Instant Mining Activation

New users can sign up at Cryptosolo.com and receive a $15 mining bonus with no upfront investment. The bonus activates a real Bitcoin cloud mining contract, generating daily profits immediately.

3. Passive Income with Green Energy

Cryptosolo’s mining rigs are hosted in hydro and wind-powered facilities, aligning with sustainability goals and reducing the environmental cost of crypto mining.

4. Seamless Integration with Web3 Wallets

Users can withdraw profits to MetaMask, Trust Wallet, Coinbase Wallet, or other major Web3 tools—providing full control and compatibility with decentralized ecosystems.

5. Multi-Currency Support and Fast Withdrawals

Earnings can be withdrawn in BTC, ETH, USDT, or TRX, with most transactions processed within hours. The platform also supports flexible contract terms, allowing users to scale or diversify as they grow.

6. Global Support, Local Feel

A 24/7 multilingual support team ensures smooth onboarding, technical help, and crypto education for users in more than 80 countries.

A 3-Step Entry Point into Web3 Wealth

1. Sign Up Free: Visit cryptosolo.com, register with your email, and get a $15 credit—no payment needed.
2. Start Mining Instantly: Use the bonus to activate a live Bitcoin mining contract and track profits in real time.
3. Withdraw & Grow: Transfer your earnings to your wallet and reinvest or spend as you wish.

Cryptosolo simplifies the entire Web3 income experience. There’s no need to buy hardware, analyze markets, or manage private keys manually. The platform handles everything behind the scenes while users enjoy daily earnings and full transparency.

A Safer Roadmap to Decentralized Income

For those skeptical of the crypto space due to scams, volatility, or complexity, Cryptosolo offers a vetted alternative. The company’s legal-first approach, transparent smart contracts, and clean-energy infrastructure represent a new benchmark for Web3 income platforms.

“We want to give people the confidence to step into Web3 without fear,” said Speechley. “Cloud mining is the perfect bridge. It’s simple, safe, and—if done right—sustainable for both the user and the planet.”

As the next billion users join the blockchain economy, Cryptosolo’s platform will help ensure that anyone, regardless of background, can earn legitimate passive income with just a few clicks.

Media Contact

Company Name: Cryptosolo

Location: London, UK

Website: https://cryptosolo.com

Contact Email: support@cryptosolo.com

Contact Person: HOWARD, William John Speechley

Disclaimer

This press release is for informational purposes only and does not constitute investment, legal, or financial advice. Cryptocurrency mining and investing carry risks, including potential financial loss. Always do your own research and consult licensed professionals before making any decisions.

As cryptocurrencies continue to redefine global investment strategies, Cryptosolo has officially launched a groundbreaking initiative: free Bitcoin cloud mining contracts, enabling anyone to start earning passive crypto income—no upfront cost required. In an increasingly volatile global economy, this development arrives at a time when both novice and seasoned investors are seeking alternative income streams that offer stability, scalability, and accessibility.

Through this initiative, new users who register on the Cryptosolo platform will instantly receive a $15 mining bonus, activating a live Bitcoin mining contract without needing to invest a single cent. This marks a pivotal step in Cryptosolo’s broader mission to democratize access to digital asset wealth, while lowering the traditional barriers of entry that have long deterred mass participation in cryptocurrency mining.

The Global Shift Toward Decentralized Income

2025 has been a landmark year for cryptocurrencies. The approval of crypto ETFs across major economies, greater institutional exposure, and clearer regulatory frameworks around stablecoins have pushed digital assets into mainstream financial systems. Bitcoin, Ethereum, and other leading cryptocurrencies have consistently outperformed traditional stocks and bonds, prompting everyday investors to seek new avenues for participation.

Within this context, cloud mining has emerged as one of the most attractive and low-risk opportunities in the crypto economy. Unlike traditional mining, which requires specialized hardware, high electricity consumption, and technical expertise, cloud mining allows individuals to lease computing power from established data centers and receive mining rewards without managing any equipment.

“Our vision is to make Bitcoin mining effortless, risk-free at entry, and truly global,” said William John Speechley, Chief Strategy Officer at Cryptosolo. “This free contract offering is not just a promotion—it’s a statement of our commitment to inclusion. We’re opening the door for anyone, anywhere, to tap into the digital economy.”

Key Features of Cryptosolo’s Cloud Mining Platform

1. Free $15 Bonus for New Users

Everyone who signs up at Cryptosolo.com receives a free $15 credit, automatically applied to a real, live mining contract. Earnings begin immediately, with daily payouts that can be tracked via a personalized dashboard.

2. Diverse Contracts With Guaranteed Stability

Cryptosolo offers a wide variety of cloud mining contracts tailored to different experience levels and financial goals. Most importantly, many contracts are principal-protected, shielding users from short-term market fluctuations while still providing consistent returns.

3. Clean Energy Commitment

All mining operations are powered by hydroelectric and wind energy facilities in strategically located data centers across North America, Europe, and Asia. This approach significantly reduces the carbon footprint traditionally associated with cryptocurrency mining, while supporting global sustainability goals.

4. Global Payment Flexibility

The platform supports deposits and withdrawals in all major cryptocurrencies, including BTC, ETH, USDT, TRX, and others. Fast, secure, and borderless, the system is designed to serve users worldwide with maximum financial autonomy.

5. 24/7 Multilingual Customer Support

Cryptosolo’s commitment to a smooth user experience is reflected in its round-the-clock support. A multilingual team is available at all times to assist users, answer queries, and resolve technical issues promptly.

A Simple 3-Step Process to Start Earning

1. Register at cryptosolo.com with your email and receive a free $15 bonus—no credit card required.
2. Select a Contract that suits your mining goals and let the platform begin generating passive income on your behalf.
3. Track Profits and Withdraw Earnings directly to your digital wallet, anytime, anywhere.

This streamlined onboarding experience is ideal for both crypto beginners looking to explore the ecosystem and investors seeking new passive income tools. With robust infrastructure, transparent terms, and a user-first approach, Cryptosolo positions itself at the forefront of the global crypto mining evolution.

Driving the Future of Digital Finance

Cryptosolo’s new offering is more than just a promotional feature—it signals a broader shift toward accessible, decentralized wealth generation. By removing the traditional barriers of cost, complexity, and environmental concern, the company is creating an inclusive space where anyone can engage with the blockchain economy.

“We believe financial opportunity should not be limited to the technically skilled or the already wealthy,” Speechley added. “Our platform is proof that crypto can—and should—serve the many, not just the few.”

As crypto adoption accelerates worldwide, Cryptosolo’s free Bitcoin cloud mining contracts could play a pivotal role in onboarding millions of users into the decentralized financial future.

Media Contact

Company Name: Cryptosolo

Location: London, UK

Website: https://cryptosolo.com

Contact Email: support@cryptosolo.com

Contact Person: HOWARD, William John Speechley

Disclaimer

This press release is for informational purposes only and does not constitute financial, legal, or investment advice. Cryptocurrency mining and investing involve significant risks, including volatility and potential loss of capital. Always conduct your own research and consult professional advisors before making investment decisions.

United States, 6th Aug 2025, Grand Newswire – July 12, 2025 – New York, NY – Digital asset trading platform BlockInsight Exchange (BlockInsight Innovations Inc.) has entered into a strategic partnership with Freeman Quantitative AI (FQAI) to jointly advance the development of intelligent quantitative trading technologies. As part of the collaboration, FQAI’s fifth-generation trading system, FQAI 5.0, has successfully completed grayscale testing on the BlockInsight platform.

Advancing the Development of Intelligent Quantitative Trading

As blockchain, artificial intelligence, and data technologies continue to evolve, digital asset markets are shifting toward automation, high-frequency execution, and intelligent infrastructure. Quantitative trading has become increasingly adopted across the industry for its ability to process large volumes of data and execute strategies efficiently.

Developed by Freeman Quantitative AI, FQAI 5.0 is designed to perform market analysis, trade execution, and risk management under dynamic conditions. The system focuses on operational stability, real-time adaptability, and execution efficiency, aiming to provide users with a reliable digital asset trading experience.

Phased Testing and System Optimization

FQAI 5.0 began its canary testing phase on July 2, 2025, on BlockInsight Exchange, with limited access granted to a small group of users in live trading environments. The goal was to validate performance indicators such as system responsiveness, execution accuracy, and interface usability.

Based on user feedback, the development team implemented optimizations across system architecture, order processing logic, and user interaction design. The system then entered a grayscale testing phase, where it was deployed to a broader audience to monitor performance under real-world conditions. Throughout the testing process, teams from both sides collaborated closely to ensure continued system refinement and deployment readiness.

Technical Architecture and Platform Integration

FQAI 5.0 leverages a distributed architecture, asynchronous execution engine, and multi-layered strategy management framework. It supports real-time data analysis and includes mechanisms for detecting anomalies and isolating assets in volatile conditions to enhance operational security.

BlockInsight Exchange provides a high-performance matching engine and supporting infrastructure for the system. Integration efforts enabled seamless alignment between the platform’s core systems and FQAI’s trading modules.

Ongoing Collaboration and Product Roadmap

The two teams plan to continue working together in areas such as algorithm enhancement, system iteration, and tool development. Upcoming features include AI Custodial Trading, multi-account strategy linkage, and automated market monitoring tools designed for both institutional and individual users.

Both parties have emphasized their shared commitment to compliance, user security, and responsible development in the application of AI-driven technologies to digital finance.

Risk Disclaimer

Trading digital assets involves significant risk and may not be suitable for all investors. The information in this release is for general informational purposes only and does not constitute investment advice. All users are responsible for making independent decisions and should consult qualified professionals when needed.

Media Contact

Organization: BlockInsight Innovations Inc.

Contact
Person: Elizabeth Morgan

Website:

https://blockinsured.com

Email:

support@blockinsured.com

Address:S GRAND AVE LOS ANGELES, CA 90071

Country:United States

The post BlockInsight Exchange and Freeman Quantitative AI Announce Strategic Partnership and Deployment of Next-Generation Trading System
appeared first on Grand Newswire.
It is provided by a third-party content provider. Grand Newswire makes no
warranties or representations in connection with it.

United States, 6th Aug 2025, Grand Newswire – July 12, 2025 – New York, NY – Digital asset trading platform BlockInsight Exchange (BlockInsight Innovations Inc.) has entered into a strategic partnership with Freeman Quantitative AI (FQAI) to jointly advance the development of intelligent quantitative trading technologies. As part of the collaboration, FQAI’s fifth-generation trading system, FQAI 5.0, has successfully completed grayscale testing on the BlockInsight platform.

Advancing the Development of Intelligent Quantitative Trading

As blockchain, artificial intelligence, and data technologies continue to evolve, digital asset markets are shifting toward automation, high-frequency execution, and intelligent infrastructure. Quantitative trading has become increasingly adopted across the industry for its ability to process large volumes of data and execute strategies efficiently.

Developed by Freeman Quantitative AI, FQAI 5.0 is designed to perform market analysis, trade execution, and risk management under dynamic conditions. The system focuses on operational stability, real-time adaptability, and execution efficiency, aiming to provide users with a reliable digital asset trading experience.

Phased Testing and System Optimization

FQAI 5.0 began its canary testing phase on July 2, 2025, on BlockInsight Exchange, with limited access granted to a small group of users in live trading environments. The goal was to validate performance indicators such as system responsiveness, execution accuracy, and interface usability.

Based on user feedback, the development team implemented optimizations across system architecture, order processing logic, and user interaction design. The system then entered a grayscale testing phase, where it was deployed to a broader audience to monitor performance under real-world conditions. Throughout the testing process, teams from both sides collaborated closely to ensure continued system refinement and deployment readiness.

Technical Architecture and Platform Integration

FQAI 5.0 leverages a distributed architecture, asynchronous execution engine, and multi-layered strategy management framework. It supports real-time data analysis and includes mechanisms for detecting anomalies and isolating assets in volatile conditions to enhance operational security.

BlockInsight Exchange provides a high-performance matching engine and supporting infrastructure for the system. Integration efforts enabled seamless alignment between the platform’s core systems and FQAI’s trading modules.

Ongoing Collaboration and Product Roadmap

The two teams plan to continue working together in areas such as algorithm enhancement, system iteration, and tool development. Upcoming features include AI Custodial Trading, multi-account strategy linkage, and automated market monitoring tools designed for both institutional and individual users.

Both parties have emphasized their shared commitment to compliance, user security, and responsible development in the application of AI-driven technologies to digital finance.

Risk Disclaimer

Trading digital assets involves significant risk and may not be suitable for all investors. The information in this release is for general informational purposes only and does not constitute investment advice. All users are responsible for making independent decisions and should consult qualified professionals when needed.

Media Contact

Organization: BlockInsight Innovations Inc.

Contact
Person: Elizabeth Morgan

Website:

https://blockinsured.com

Email:

support@blockinsured.com

Address:S GRAND AVE LOS ANGELES, CA 90071

Country:United States

The post BlockInsight Exchange and Freeman Quantitative AI Announce Strategic Partnership and Deployment of Next-Generation Trading System
appeared first on Grand Newswire.
It is provided by a third-party content provider. Grand Newswire makes no
warranties or representations in connection with it.