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lines changed Original file line number Diff line number Diff line change @@ -713,7 +713,7 @@ <h2 id="inner-product-in-dirac-notation" class="anchor">Inner product in Dirac n
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714714< p > With a given vector \( \vert x \rangle \), we define the inner product as</ p >
715715$$
716- \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=x_0^2+x_1^2+\dots + x_{n-1}^2.
716+ \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=\vert x_0\vert ^2+\vert x_1\vert ^2+\dots + \vert x_{n-1}\vert ^2.
717717$$
718718
719719< p > For two arbitrary vectors \( \vert x\rangle \) and \( \vert y\rangle \) with the same lentgh, we have the
Original file line number Diff line number Diff line change @@ -618,7 +618,7 @@ <h2 id="inner-product-in-dirac-notation">Inner product in Dirac notation </h2>
618618< p > With a given vector \( \vert x \rangle \), we define the inner product as</ p >
619619< p > < br >
620620$$
621- \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=x_0^2+x_1^2+\dots + x_{n-1}^2.
621+ \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=\vert x_0\vert ^2+\vert x_1\vert ^2+\dots + \vert x_{n-1}\vert ^2.
622622$$
623623< p > < br >
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Original file line number Diff line number Diff line change @@ -626,7 +626,7 @@ <h2 id="inner-product-in-dirac-notation">Inner product in Dirac notation </h2>
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627627< p > With a given vector \( \vert x \rangle \), we define the inner product as</ p >
628628$$
629- \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=x_0^2+x_1^2+\dots + x_{n-1}^2.
629+ \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=\vert x_0\vert ^2+\vert x_1\vert ^2+\dots + \vert x_{n-1}\vert ^2.
630630$$
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632632< p > For two arbitrary vectors \( \vert x\rangle \) and \( \vert y\rangle \) with the same lentgh, we have the
Original file line number Diff line number Diff line change @@ -703,7 +703,7 @@ <h2 id="inner-product-in-dirac-notation">Inner product in Dirac notation </h2>
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704704< p > With a given vector \( \vert x \rangle \), we define the inner product as</ p >
705705$$
706- \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=x_0^2+x_1^2+\dots + x_{n-1}^2.
706+ \langle x \vert x\rangle = \sum_{i=0}^{n-1} x_i^*x_i=\vert x_0\vert ^2+\vert x_1\vert ^2+\dots + \vert x_{n-1}\vert ^2.
707707$$
708708
709709< p > For two arbitrary vectors \( \vert x\rangle \) and \( \vert y\rangle \) with the same lentgh, we have the
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