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len() answered a ten million item list in 2.48 microseconds while a Python loop over the same list took 313 milliseconds. I timed both paths, and a difference of 126,313 times comes from a stored value rather than a faster way to count, which decides the length call you want once the data is nested […]

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The EM algorithm raises the log-likelihood on every iteration, which every explanation repeats, and the guarantee is only local. I wrote the two steps in numpy, fitted three components to iris petal length, and broke the run twice in ways that still show a climbing number. What the two steps actually compute The algorithm fits […]

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PySpark runs your Python twice, once in the driver that builds the job and once in a worker that executes it. The two have to be the same interpreter. I installed PySpark 4.2.0 into a clean virtual environment, ran one pipeline from a CSV on disk to a parquet directory, then broke the startup in […]

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A pickle file records the Python path of every class inside the object that wrote it. That recorded path is why a file loads on one pandas release and raises a missing-module error on another. I loaded a frame from a path with read_pickle on pandas 3.0.5, then broke the input four separate ways. What […]

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A city of ten million people generates more sensor data before lunch than most enterprises touch in a year. Traffic cameras, smart meters, streetlight controllers — millions of them per metro area, all streaming constantly. Municipal servers bought a decade ago weren’t built for that. Without AI and edge computing between the sensor and the […]

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