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Continuous functions can’t be approximated by discontinuous function sequences. ( )

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A functional is a more extensive mapping relationship, which can be understood as the function of the function -- its dependent variable is a function. ( )

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The functional extremum problem can be solved by perturbing a family of curves around the extremum curve, and the functional extremum problem can be transformed into a common function extremum problem to be solved. ( )

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The brachistochrone problem refers to when the particle is only affected by gravity, it slides from one point along the curve ( ) to another point.

A. The shortest time
B. The shortest path
C. The maximum speed
D. None of the above answers

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1. For the functional mentioned in the video, which of the following statements is true . ( )

A. The functional maps a function to a function
B. The functional maps a function to a real number
C. The functional maps a real number to a real number
D. None of the above answers

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