mathswithmuza on Instagram: "Lebesgue rectangles are a simple geometric way to visualize how the Lebesgue integral builds up area by looking at slices of the range rather than slices of the domain. Instead of cutting the x-axis into intervals and stacking vertical rectangles, the Lebesgue approach groups together all points where the function takes values within a certain band. For each horizontal “slice” of height Δy, you look at the set of x-values where the function falls inside that slice, a

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Whys of Life on Instagram: "If you think your daily commute is crowded… wait till you see this. Bangladesh is home to some of the most overloaded trains on the planet, and what you see in this video isn’t a festival, a holiday rush, or a one-time moment — it’s part of daily life for millions. Every day, thousands of people travel by hanging on doors, standing on the edges, sitting on rooftops, or squeezing into every inch of space possible. Why? Because trains are the lifeline of the country — f

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