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  • What is a continuous extension? - Mathematics Stack Exchange
    To find examples and explanations on the internet at the elementary calculus level, try googling the phrase "continuous extension" (or variations of it, such as "extension by continuity") simultaneously with the phrase "ap calculus" The reason for using "ap calculus" instead of just "calculus" is to ensure that advanced stuff is filtered out
  • Proof of Continuous compounding formula - Mathematics Stack Exchange
    Following is the formula to calculate continuous compounding A = P e^(RT) Continuous Compound Interest Formula where, P = principal amount (initial investment) r = annual interest rate (as a
  • is bounded linear operator necessarily continuous?
    3 This property is unrelated to the completeness of the domain or range, but instead only to the linear nature of the operator Yes, a linear operator (between normed spaces) is bounded if and only if it is continuous
  • State space discretization - Mathematics Stack Exchange
    If the continuous-time system is bounded input bounded output (BIBO) stable, then so is this exact discretized system If your input is not constant between sampling instances, then you could use a forward Euler discretization ($\dot {x} (kT_s)\approx\frac {1} {T_s} (x_ {k+1}-x_k)$) like @polfosol mentioned in his answer


















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