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binary floating point perform substraction and addition

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#arithmetic #binary-operations #floating-point #binary-programming
609
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Solving overflow for quadratic roots

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#numerical-methods #floating-point
648
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Why subtracting 1 is considered ill-conditioned?

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#numerical-methods #floating-point #condition-number
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Floating-point systems: Is the mantissa the whole thing or just the "fraction" part after the decimal?

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#floating-point
748
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Floating-point arithmetic and loss of precision: Shifting mantissa until exponents match

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#floating-point
1.7k
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Machine epsilon: why is $(1 + \epsilon) + \epsilon = 1$?

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#real-analysis #floating-point #machine-precision
262
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Math problem: Underflow and gradual underflow

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#real-analysis #computer-science #computational-mathematics #floating-point
1.1k
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Hypothetical Computer Marc-32

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#numerical-methods #number-systems #floating-point
483
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Computer science FLOPs question (complexity): We have $100$ vectors, each with $10^5$ elements.

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#proof-verification #computer-science #computational-complexity #floating-point
154
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Methods for confirming that a polynomial root with errors is complex?

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#polynomials #roots #floating-point
224
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Show that the accuracy of z is much better than y

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#numerical-methods #floating-point
1k
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A general method to efficiently calculate the floor of an element of $\mathbb{Q}[\sqrt{2}]$

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#irrational-numbers #radicals #ceiling-and-floor-functions #floating-point
111
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How many bits of difference in a relative error?

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#numerical-methods #approximation #floating-point
1.9k
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Max value - Mantissa calculation clarification?

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#education #computational-mathematics #floating-point
127
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Identity for fractional summation

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#fractions #floating-point

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