| 1. | Let \ varphi ( \ cdot ) be a nonconstant, continuous function.
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| 2. | However, the Fourier series of a continuous function need not converge pointwise.
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| 3. | A continuous function is determined by its values on a dense set.
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| 4. | So, is this integral function a continuous function of q at c?
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| 5. | Take " f " to be any continuous function on a circle.
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| 6. | Let 0 R the continuous function we wish to approximate by polynomials.
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| 7. | As such, the curl operator maps continuously differentiable functions to continuous functions.
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| 8. | Singular integral operators on spaces of H�lder continuous functions are discussed in.
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| 9. | Informally, this means that differentiable functions are very atypical among continuous functions.
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| 10. | A continuous function with a continuous inverse function is called a homeomorphism.
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