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If H is an infinite dimensional Hilbert space, show that no orthonormal basis for X is a Hamel basis. Show that a Hamel basis is

If H is an infinite dimensional Hilbert space, show that no orthonormal basis for X is a Hamel basis. Show that a Hamel basis is uncountable. The temperature of a room is 24.3 C. What is this temperature expressed in Kelvin (K)?

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