equivalently, therefore
equivalently stated
equivalently expressed
equivalently defined
equivalently described
equivalently, it follows
equivalently, consider
equivalently, namely
equivalently, thus
equivalently speaking
equivalently, we can express this as a sum of squares.
equivalently, the problem can be viewed as an optimization task.
equivalently, consider the case where x equals zero.
equivalently, this statement is true regardless of the input.
equivalently, the two approaches yield the same result.
equivalently, let's define 'success' in a different way.
equivalently, the function is continuous and differentiable.
equivalently, we can rewrite the equation using logarithms.
equivalently, the two systems are mathematically consistent.
equivalently, this can be interpreted as a boundary condition.
equivalently, the algorithm converges to a stable solution.
equivalently, therefore
equivalently stated
equivalently expressed
equivalently defined
equivalently described
equivalently, it follows
equivalently, consider
equivalently, namely
equivalently, thus
equivalently speaking
equivalently, we can express this as a sum of squares.
equivalently, the problem can be viewed as an optimization task.
equivalently, consider the case where x equals zero.
equivalently, this statement is true regardless of the input.
equivalently, the two approaches yield the same result.
equivalently, let's define 'success' in a different way.
equivalently, the function is continuous and differentiable.
equivalently, we can rewrite the equation using logarithms.
equivalently, the two systems are mathematically consistent.
equivalently, this can be interpreted as a boundary condition.
equivalently, the algorithm converges to a stable solution.
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