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the claim
Sine and cosine functions form a complete orthogonal basis for signal representation
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
no sources on either side

The fact that sine and cosine functions form a complete orthogonal basis (such as in Fourier series) is a foundational mathematical truism that requires no citation.

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The analysis

The claim states that sine and cosine functions form a complete orthogonal basis for signal representation, which is a standard definition and fundamental theorem in mathematical analysis and signal processing (Fourier analysis). By the prompt instructions, a claim that is trivially true by definition or direct mathematical fact is categorized as COMMON_KNOWLEDGE, requiring no empirical citation or paper assignment.

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first checked04 Aug 2026
judged → COMMON KNOWLEDGE · 9504 Aug 2026
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