Notes of Nagesh

🚀【Higher-Order Derivatives in Kinematics: From Position to Pop】📏 In physics, describing the motion of objects involves not only position, velocity, and acceleration, but also higher-order derivatives such as jerk, snap/jounce, etc. These higher-order derivatives have significant importance in engineering and scientific research. Today, we will take you to understand the definitions and applications of these higher-order derivatives! 🔍 🌟 Position (Position)📍 Definition: The position of an object in space, usually represented by a vector  🌟 Velocity (Velocity)🚗 Definition: The rate of change of position with respect to time, i.e., the derivative of position. 🌟 Acceleration (Acceleration)⚡ Definition: The rate of change of velocity with respect to time, i.e., the derivative of velocity or the second derivative of position. 🌟 Jerk (Jerk)🌀 Definition: The rate of change of acceleration with respect to time, i.e., the derivative of acceleration or the third derivati...

When Che Guevara was captured in his hiding place, after being betrayed by a shepherd, one of the soldiers asked him surprisingly: How can you betray a man who has spent his whole life defending you, you and your rights? The shepherd replied calmly: His fight against the enemy frightened my sheep!  Many years ago, in Egypt, the Grand Commander Mohamed Karim had led the resistance against Napoleon's total military campaign. When he was captured, the court sentenced him to death. But Napoleon called him and told him: I regret having to kill a man who bravely defended his country. I don't want history to remember me as a hero assassin. I will forgive you if you pay 10,000 gold coins for the losses suffered by my army. Mohamed Karim laughs and replies: I don't have that much money, but the merchants owe me more than 100,000 gold coins. Napoleon gave him a break. Karim went to the market, chained up and surrounded by soldiers guarding him, hoping that those he had sacrificed him...

India’s $4.19 trillion economy (2024-25, MoSPI) is often portrayed as a corporate juggernaut, with media spotlighting billionaire profits and gleaming skyscrapers. The narrative casts the "poor and common man"—small farmers, street vendors, laborers—as mere footnotes. But the latest data flips this story: the informal sector, powered by millions of unsung workers, drives nearly half of India’s GDP. This isn’t just a feel-good tale; it’s a structural reality demanding a rethink of policy, perception, and priorities as India sustains its 6.5% growth trajectory (Economic Survey 2024-25) toward a $5 trillion future. Why It Matters Understanding who truly fuels India’s economy isn’t academic—it shapes everything from tax policies to social stability. The informal sector, employing over 90% of the workforce, absorbs shocks like inflation or global disruptions that corporate giants can’t dodge alone. Ignoring this risks stalling consumption (60% of GDP) or sparking unrest amid widen...

Paris is ground zero for Russia’s escalating covert ops, from assassinations to Islamist proxies, as the Kremlin aims to punish France’s support for Ukraine . The big picture : Russia’s hybrid warfare has surged since its 2022 invasion of Ukraine, with France—Kyiv’s key backer—facing a barrage of espionage, sabotage, and proxy attacks. A  four-part  Intelligence Online  investigation , citing French intelligence and European officials, reveals  Moscow’s playbook : destabilize Europe to weaken NATO and Ukraine aid. Why it matters : France’s €3.8 billion in military support and training for 40,000 Ukrainian troops have made it Putin’s top European target. With NATO logging a 300% spike in Russian-linked incidents since 2022, France bears over 20% of the hits. A successful attack could fracture Western unity and fuel far-right gains in France’s 2027 elections. Hunting Exiles in Biarritz What’s happening : Vladimir Osechkin, a Russian dissident exposing prison abuses via...

In a world fixated on the AI rivalry between the United States and China, India is quietly scripting a different narrative. “India could be a different kind of AI superpower,” declared The Economist in its latest leaders column, adding, “It won’t look like America or China. It could still be a winner.” This vision sidesteps the zero-sum race for computational dominance, instead leveraging India’s vast population, linguistic diversity, and developer talent to forge an AI ecosystem that prioritizes inclusion and practical utility. While the U.S. churns out frontier models and China deploys state-backed surveillance tech, India is betting on human-scale AI—tools that empower its 1.4 billion citizens to bridge systemic gaps in healthcare, education, and agriculture. One year on from The Economist ’s earlier query—can India win at AI?—the evidence suggests it’s not just competing but redefining what victory looks like. A Data Powerhouse with a Human Touch India’s AI journey is fueled by i...

Rukh Oporu (Ukrainian: Рух Опору, translated as "Resistance Movement") is a specialized corps-level unit within the Special Operations Forces (SSO) of the Ukrainian Armed Forces, designated with the military identifier A0987. Established to orchestrate and support resistance activities in Russian-occupied territories of Ukraine, the unit plays a critical role in Ukraine’s asymmetric warfare strategy. It conducts sabotage, intelligence gathering, psychological operations, and direct/indirect actions to disrupt Russian control and bolster Ukrainian morale. Here is an expanded exploration of its origins, structure, operations, and broader significance in the context of the Russo-Ukrainian War. Historical Context and Establishment Origins in 2014 : The concept of Rukh Oporu emerged following Russia’s annexation of Crimea and the outbreak of conflict in eastern Ukraine in 2014. The occupation of Ukrainian territories prompted the Ukrainian government to develop covert resistance n...

The Looming Reckoning: What Happens if the $3 Trillion AI Boom Implodes? The artificial intelligence (AI) investment frenzy, projected to pour $3 trillion into data centres by 2028, has been hailed as the next great technological leap, promising to reshape economies and societies. Yet, beneath the euphoria, a growing chorus of experts warns of a potential bust that could rival the dot-com crash of the early 2000s. If AI fails to deliver on its lofty promises—or even if it succeeds only partially—the financial, economic, and societal fallout could be profound, leaving a trail of stranded assets, shattered valuations, and eroded trust. Drawing on insights from leading economists, technologists, and industry analysts, this article explores the risks of a messy end to the AI boom and the precarious tightrope the global economy now walks. A Feverish Investment Surge The scale of investment in AI infrastructure is staggering. Morgan Stanley estimates that $3 trillion will be spent on data ce...