常用导数公式:

  • δωTxδω=x<script type="math/tex" id="MathJax-Element-716">\frac{\delta \omega^Tx}{\delta \omega} = x</script>

  • δxωδω=xT<script type="math/tex" id="MathJax-Element-717">\frac{\delta x\omega}{\delta \omega} = x^T</script>

  • δxTωδω=x<script type="math/tex" id="MathJax-Element-718">\frac{\delta x^T\omega}{\delta \omega} = x</script>

  • δωTxTδω=xT<script type="math/tex" id="MathJax-Element-719">\frac{\delta \omega^Tx^T}{\delta \omega} = x^T</script>

  • δωTAωδω=(A+AT)ω<script type="math/tex" id="MathJax-Element-720">\frac{\delta \omega^TA\omega}{\delta \omega} = (A+A^T)\omega</script>

常用迹公式

  • tr(a)=a<script type="math/tex" id="MathJax-Element-662">tr(a) = a</script>

  • tr(AB)=tr(BA)<script type="math/tex" id="MathJax-Element-663">tr(AB) = tr(BA)</script>

  • tr(ABC)=tr(CAB)=tr(BCA)<script type="math/tex" id="MathJax-Element-664">tr(ABC) = tr(CAB) = tr(BCA)</script>

  • δtr(AB)δA=BT<script type="math/tex" id="MathJax-Element-665">\frac{\delta tr(AB)}{\delta A} = B^T</script>

  • tr(A)=tr(AT)<script type="math/tex" id="MathJax-Element-666">tr(A) = tr(A^T)</script>

  • δtr(ABATC)δA=CAB+CTABT<script type="math/tex" id="MathJax-Element-667">\frac{\delta tr(ABA^TC)}{\delta A} = CAB + C^TAB^T</script>

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