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1 parent 54d82c0 commit 6dba6bfCopy full SHA for 6dba6bf
template/usage.typ
@@ -58,7 +58,7 @@ int main() {
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#set par(first-line-indent: 0pt)
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-3.1 设 $cal(V)$ 和 $cal(W)$ 是两 Hilbert 空间,${ket(v_j)}$ 和 ${ket(w_j)}$ 分别为 $cal(V)$ 和 $cal(W)$ 的一组正交模基。设 $display(T_A: sum_(j = 1)^n c_j ket(v_j) arrow.r sum_(j=1)^n c_j sum_(i=1)^m a_(i j) ket(w_j))$,证明 $T_A$ 是线性算子。
+3.1 设 $cal(V)$ 和 $cal(W)$ 是两 Hilbert 空间,${ket(v_j)}$ 和 ${ket(w_j)}$ 分别为 $cal(V)$ 和 $cal(W)$ 的一组正交模基。设 $display(T_A\: sum_(j = 1)^n c_j ket(v_j) arrow.r sum_(j=1)^n c_j sum_(i=1)^m a_(i j) ket(w_j))$,证明 $T_A$ 是线性算子。
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证明:对于 $forall k in NN, 0 < k <= n$,可以取一组 $display(c_j = cases(
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1 "," j = k,
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