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...