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How A Random System Can Actually Be Predictable

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How A Random System Can Actually Be Predictable

The balls in a Galton board fall down randomly. Any time they come to a junction they can take any number of paths and it's almost impossible to accurately predict every ball's trajectory. However, the system as a whole is predictable. How can this be? How can random systems actually be predictable?

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Si subes PDFs a Claude, probablemente estés tirando tokens a la basura. Y Microsoft tiene la solución gratis desde hace meses. Cuando subes un PDF, Claude no lee solo el texto. Procesa el formato, las tablas rotas, las imágenes y toda la basura que arrastra el archivo. Cada página puede costarte entre 1.500 y 3.000 tokens. Un documento de 20 páginas se come hasta 70.000 tokens. Antes de hacer tu primera pregunta. La solución se llama Markitdown. Es de Microsoft, gratuita, y tiene más de 110.000

Si subes PDFs a Claude, probablemente estés tirando tokens a la basura. Y Microsoft tiene la solución gratis desde hace meses. Cuando subes un PDF, Claude no lee solo el texto. Procesa el formato, las tablas rotas, las imágenes y toda la basura que arrastra el archivo. Cada página puede costarte entre 1.500 y 3.000 tokens. Un documento de 20 páginas se come hasta 70.000 tokens. Antes de hacer tu primera pregunta. La solución se llama Markitdown. Es de Microsoft, gratuita, y tiene más de 110.000

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