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0:31
Singular Value Decomposition (SVD) Explained Simply
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11 months ago
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svd explained #maths #machinelearning #datascience #mathematics
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Peter Math on Instagram: "Singular Value Decomposition (SVD) is one of the most powerful and versatile tools in linear algebra. It breaks down any matrix—even a non-square one—into three simpler matrices that reveal its fundamental structure: one that captures its directions (U), one that scales them (Σ), and one that rotates or reflects them (Vᵀ). At its core, SVD helps us understand how a matrix transforms space by identifying the principal components of that transformation. SVD is everywhere—
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A CD can spin so fast that it completely shatters, even though it looks like a solid piece of plastic. At extreme speeds, the disc experiences more stress than it can handle. As the CD spins faster, stress builds inside the plastic, especially around small cracks. Eventually, one weak spot can cause the entire disc to break apart in a fraction of a second. When it shatters, sharp fragments fly outward at high speeds because of the energy stored in its rotation. The same forces affect turbines an
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Original Video Credit: IG/goldone_ultrasonicwelding Dozens of fine copper strands are pressed together beneath a metal welding tool, forming a compact electrical connection in seconds. The process is called ultrasonic metal welding, and unlike conventional welding, it produces a solid bond without melting the copper. The machine applies pressure while transmitting rapid vibrations through the wire bundle, joining the individual strands into a tightly consolidated connection. Ultrasonic welding t
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