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        "quote": "从中可以看出每个$u_n$都是都可以是$\\{e_1,e_2,...,e_n\\}$的一个线性组合，于是又$\\mathcal{H}=\\overline{L(\\{e_1,e_2,\\ldots\\})}$，集合$\\{e_n|n=1,2,...\\}$称为$\\mathcal{H}$的<u id=\"concept-13-complete-orthonormal-set\" class=\"concept-term\" data-concept-identity=\"urn:uuid:af7548ea-bfb5-40fb-8155-60d865395208\" data-concept-route=\"/concept-identities#concept-af7548ea-bfb5-40fb-8155-60d865395208\">完备正交标准集(complete orthonormal set)</u>或<u id=\"concept-13-orthonormal-basis\" class=\"concept-term\" data-concept-identity=\"urn:uuid:95c3db47-c6cf-46ca-bf3d-3fd42ed1e6eb\" data-concept-route=\"/concept-identities#concept-95c3db47-c6cf-46ca-bf3d-3fd42ed1e6eb\">正交标准基(orthonormal basis)</u>",
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        "quote": "from which it can be seen that each $u _ { n }$ is a linear combination of $\\{ e _ { 1 } , e _ { 2 } , \\ldots , e _ { n } \\}$ . Hence ${ \\mathcal { H } } = { \\overline { { L ( \\{ e _ { 1 } , e _ { 2 } , \\dots \\} ) } } }$ and the set $\\{ e _ { n } \\mid n = 1 , 2 , \\ldots \\}$ is called a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:af7548ea-bfb5-40fb-8155-60d865395208\" data-concept-route=\"/concept-identities#concept-af7548ea-bfb5-40fb-8155-60d865395208\" id=\"first-ff5316519821afc51b79-en\">complete orthonormal set</u> or <span id=\"first-1f1dfb34be33497204d3-en\" class=\"block-anchor\"></span><u class=\"concept-term\" data-concept-identity=\"urn:uuid:95c3db47-c6cf-46ca-bf3d-3fd42ed1e6eb\" data-concept-route=\"/concept-identities#concept-95c3db47-c6cf-46ca-bf3d-3fd42ed1e6eb\" id=\"first-1f1dfb34be33497204d3-hilbert-en\">orthonormal basis</u> of $\\mathcal { H } .$",
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