\usepackage or this document’s own macros. Corpus-wide, \bm occurs 327 times, \Perp is defined by no package and spans 10 documents, and 11,088 of 11,624 undefined occurrences are the source document’s own macros. A row that looks wrong here may be correct, and one that looks right here may not compile. The LaTeX report renders through the document’s own preamble and is the surface to judge from.138 rows
The page, the confidence and the picture of an inline formula are its HOST LINE's --- a formula has none of its own. A line's confidence is not a formula's.
| Identifier | Page | Conf. | LaTeX source | Rendered | Image |
|---|---|---|---|---|---|
| 1605.05775_FO0001 | 1 | 1.000 | { }^{1,2} | | |
| 1605.05775_FO0002 | 1 | 1.000 | \Phi(\mathbf{x}) | | |
| 1605.05775_FO0003 | 1 | 1.000 | W | | |
| 1605.05775_FO0004 | 1 | 1.000 | \Phi | | |
| 1605.05775_FO0005 | 2 | 1.000 | d | | |
| 1605.05775_FO0006 | 2 | 1.000 | N | | |
| 1605.05775_FO0007 | 2 | 1.000 | \Phi^{s_{1} s_{2} \cdots s_{N}} | | |
| 1605.05775_FO0008 | 2 | 1.000 | \phi^{s_{j}}\left(x_{j}\right) | | |
| 1605.05775_FO0009 | 2 | 1.000 | x_{j} | | |
| 1605.05775_FO0010 | 2 | 1.000 | s_{j} | | |
| 1605.05775_FO0011 | 2 | 1.000 | d^{N} | | |
| 1605.05775_FO0012 | 2 | 1.000 | j^{\text {th }} | | |
| 1605.05775_FO0013 | 2 | 1.000 | x_{j} \in[0,1] | | |
| 1605.05775_FO0014 | 2 | 1.000 | \phi^{s_{j}} | | |
| 1605.05775_FO0015 | 2 | 1.000 | d=2 | | |
| 1605.05775_FO0016 | 2 | 1.000 | \ell | | |
| 1605.05775_FO0017 | 2 | 0.984 | \mathbf{x} | | |
| 1605.05775_FO0018 | 2 | 1.000 | \left|f^{\ell}(\mathbf{x})\right| | | |
| 1605.05775_FO0019 | 2 | 1.000 | W^{\ell} | | |
| 1605.05775_FO0020 | 2 | 1.000 | N+1 | | |
| 1605.05775_FO0021 | 3 | 1.000 | f^{\ell}(\mathbf{x}) | | |
| 1605.05775_FO0022 | 3 | 1.000 | W_{s_{1} s_{2} \cdots s_{N}}^{\ell} | | |
| 1605.05775_FO0023 | 3 | 1.000 | N_{L} \cdot d^{N} | | |
| 1605.05775_FO0024 | 3 | 1.000 | N_{L} | | |
| 1605.05775_FO0025 | 3 | 1.000 | \alpha_{j} | | |
| 1605.05775_FO0026 | 3 | 1.000 | m | | |
| 1605.05775_FO0027 | 3 | 1.000 | \left\{\alpha_{j}\right\} | | |
| 1605.05775_FO0028 | 3 | 1.000 | n | | |
| 1605.05775_FO0029 | 3 | 1.000 | N_{T} | | |
| 1605.05775_FO0030 | 3 | 1.000 | L_{n} | | |
| 1605.05775_FO0031 | 3 | 1.000 | \delta_{L_{n}}^{\ell}=1 | | |
| 1605.05775_FO0032 | 3 | 1.000 | f^{\ell} | | |
| 1605.05775_FO0033 | 3 | 1.000 | \mathbf{x}_{n} | | |
| 1605.05775_FO0034 | 3 | 1.000 | j | | |
| 1605.05775_FO0035 | 3 | 1.000 | j+1 | | |
| 1605.05775_FO0036 | 3 | 1.000 | A_{s_{j}}^{\ell} | | |
| 1605.05775_FO0037 | 3 | 1.000 | A_{s_{j+1}} | | |
| 1605.05775_FO0038 | 4 | 1.000 | B^{\ell} | | |
| 1605.05775_FO0039 | 4 | 0.881 | B_{s_{j} s_{j+1}}^{\alpha_{j-1} \ell \alpha_{j+1}} | | |
| 1605.05775_FO0040 | 4 | 1.000 | C | | |
| 1605.05775_FO0041 | 4 | 0.995 | \tilde{\Phi}_{n} | | |
| 1605.05775_FO0042 | 4 | 1.000 | B^{\ell}+\alpha \Delta B^{\ell} | | |
| 1605.05775_FO0043 | 4 | 1.000 | \alpha | | |
| 1605.05775_FO0044 | 4 | 0.743 | j+1) | | |
| 1605.05775_FO0045 | 4 | 0.992 | \left(\alpha_{j-1}, s_{j}\right) | | |
| 1605.05775_FO0046 | 4 | 0.769 | \operatorname{dex}\left(\ell, \alpha_{j+1}, s_{j+1}\right) | | |
| 1605.05775_FO0047 | 4 | 1.000 | A_{s_{j}}^{\prime}=U_{s_{j}} | | |
| 1605.05775_FO0048 | 4 | 1.000 | A_{s_{j+1}}^{\prime \ell}=S V_{s_{j+1}}^{\ell} | | |
| 1605.05775_FO0049 | 4 | 1.000 | S | | |
| 1605.05775_FO0050 | 4 | 1.000 | U | | |
| 1605.05775_FO0051 | 4 | 1.000 | V^{\dagger} | | |
| 1605.05775_FO0052 | 4 | 1.000 | A_{s_{j}}^{\prime} | | |
| 1605.05775_FO0053 | 5 | 1.000 | B^{\prime \ell} | | |
| 1605.05775_FO0054 | 5 | 1.000 | d^{3} m^{3} N N_{L} N_{T} | | |
| 1605.05775_FO0055 | 5 | 0.351 | 14 \times 14 | | |
| 1605.05775_FO0056 | 5 | 1.000 | s_{1}, s_{2}, \ldots, s_{N} | | |
| 1605.05775_FO0057 | 5 | 1.000 | m=10 | | |
| 1605.05775_FO0058 | 5 | 0.994 | m=20 | | |
| 1605.05775_FO0059 | 5 | 1.000 | m=120 | | |
| 1605.05775_FO0060 | 5 | 1.000 | (N=2) | | |
| 1605.05775_FO0061 | 5 | 1.000 | P_{A}\left(x_{1}, x_{2}\right) | | |
| 1605.05775_FO0062 | 5 | 1.000 | P_{B}\left(x_{1}, x_{2}\right) | | |
| 1605.05775_FO0063 | 5 | 1.000 | A | | |
| 1605.05775_FO0064 | 5 | 1.000 | B | | |
| 1605.05775_FO0065 | 5 | 1.000 | x_{1} \in[0,1] | | |
| 1605.05775_FO0066 | 5 | 1.000 | x_{2} \in[0,1] | | |
| 1605.05775_FO0067 | 5 | 0.986 | \left(x_{1}, x_{2}\right) | | |
| 1605.05775_FO0068 | 5 | 1.000 | W_{s_{1} s_{2}}^{\ell} | | |
| 1605.05775_FO0069 | 5 | 1.000 | \ell \in\{A, B\} | | |
| 1605.05775_FO0070 | 5 | 1.000 | s_{1} | | |
| 1605.05775_FO0071 | 5 | 1.000 | s_{2} | | |
| 1605.05775_FO0072 | 5 | 1.000 | d>2 | | |
| 1605.05775_FO0073 | 5 | 1.000 | P_{A} | | |
| 1605.05775_FO0074 | 5 | 1.000 | P_{B} | | |
| 1605.05775_FO0075 | 6 | 1.000 | P_{A}\left(x_{1}, x_{2}\right)=P_{B}\left(x_{1}, x_{2}\right) | | |
| 1605.05775_FO0076 | 6 | 1.000 | d=3 | | |
| 1605.05775_FO0077 | 6 | 1.000 | d=6 | | |
| 1605.05775_FO0078 | 6 | 1.000 | d=10 | | |
| 1605.05775_FO0079 | 6 | 0.887 | B) | | |
| 1605.05775_FO0080 | 7 | 1.000 | f^{\ell}(\mathbf{x})=W^{\ell} \cdot \Phi(\mathbf{x}) | | |
| 1605.05775_FO0081 | 7 | 1.000 | f(\mathbf{x}) | | |
| 1605.05775_FO0082 | 7 | 1.000 | \left\{\phi^{s}(x)\right\}, s=1,2, \ldots, d | | |
| 1605.05775_FO0083 | 7 | 1.000 | x \in[0,1] | | |
| 1605.05775_FO0084 | 7 | 1.000 | \mathbf{x} \in[0,1]^{\times N} | | |
| 1605.05775_FO0085 | 7 | 1.000 | \left\{\phi^{s}(x)\right\} | | |
| 1605.05775_FO0086 | 7 | 1.000 | \phi(x) | | |
| 1605.05775_FO0087 | 7 | 1.000 | \hat{\mathbf{x}} | | |
| 1605.05775_FO0088 | 7 | 1.000 | \hat{x}_{j}=\{0,1\} | | |
| 1605.05775_FO0089 | 7 | 1.000 | f(\hat{\mathbf{x}}) | | |
| 1605.05775_FO0090 | 7 | 1.000 | W_{s_{1} s_{2} \ldots s_{N}} | | |
| 1605.05775_FO0091 | 7 | 0.998 | x_{j} \in[0,1], f(\mathbf{x}) | | |
| 1605.05775_FO0092 | 7 | 1.000 | a \cos \left(\pi / 2 x_{j}\right)+b \sin \left(\pi / 2 x_{j}\right) | | |
| 1605.05775_FO0093 | 7 | 1.000 | a | | |
| 1605.05775_FO0094 | 7 | 1.000 | b | | |
| 1605.05775_FO0095 | 7 | 1.000 | C^{\alpha_{i} \ell \alpha_{i+1}} | | |
| 1605.05775_FO0096 | 7 | 1.000 | i | | |
| 1605.05775_FO0097 | 7 | 1.000 | j \leq i | | |
| 1605.05775_FO0098 | 7 | 1.000 | j \geq i | | |
| 1605.05775_FO0099 | 7 | 1.000 | V | | |
| 1605.05775_FO0100 | 7 | 1.000 | U_{\alpha_{j-1} s_{j}}{ }^{\alpha_{j}} | | |
| 1605.05775_FO0101 | 7 | 1.000 | V^{\alpha_{j-1}}{ }_{s_{j} \alpha_{j}} | | |
| 1605.05775_FO0102 | 7 | 1.000 | U^{\dagger} U=I | | |
| 1605.05775_FO0103 | 7 | 1.000 | V V^{\dagger}=I | | |
| 1605.05775_FO0104 | 7 | 1.000 | I | | |
| 1605.05775_FO0105 | 7 | 1.000 | m^{2} | | |
| 1605.05775_FO0106 | 7 | 1.000 | \tilde{\Phi}(\mathbf{x}) | | |
| 1605.05775_FO0107 | 7 | 1.000 | C^{\ell} | | |
| 1605.05775_FO0108 | 7 | 1.000 | \alpha_{i} | | |
| 1605.05775_FO0109 | 7 | 1.000 | \alpha_{i+1} | | |
| 1605.05775_FO0110 | 8 | 0.896 | U_{\alpha_{j} s_{j}}^{\alpha_{j}+1} | | |
| 1605.05775_FO0111 | 8 | 1.000 | \alpha_{j+1} | | |
| 1605.05775_FO0112 | 8 | 1.000 | \left|f^{\ell}(\mathbf{x})\right|^{2} | | |
| 1605.05775_FO0113 | 8 | 1.000 | d \mu(x) | | |
| 1605.05775_FO0114 | 8 | 1.000 | \phi^{s}(x) | | |
| 1605.05775_FO0115 | 8 | 1.000 | \phi^{s} | | |
| 1605.05775_FO0116 | 8 | 1.000 | d \mu(x)=2 d x | | |
| 1605.05775_FO0117 | 8 | 1.000 | N_{s} | | |
| 1605.05775_FO0118 | 8 | 1.000 | \ell=A | | |
| 1605.05775_FO0119 | 8 | 1.000 | \ell=B | | |
| 1605.05775_FO0120 | 8 | 0.984 | P_{A}=\int_{\mathbf{x}}\left|f^{A}(\mathbf{x})\right|^{2}=\sum_{s_{1} s_{2}}\left|W_{s_{1} s_{2}}^{A}\right|^{2} | | |
| 1605.05775_FO0121 | 8 | 1.000 | P_{B}=1-P_{A} | | |
| 1605.05775_FO0122 | 9 | 1.000 | \sigma / \sqrt{N_{s}} | | |
| 1605.05775_FO0123 | 9 | 1.000 | \mathbf{x}=\left(x_{1}, x_{2}\right) | | |
| 1605.05775_FO0124 | 9 | 1.000 | p(\mathbf{x} \mid \ell)=\left|f^{\ell}(\mathbf{x})\right|^{2} / P_{\ell} | | |
| 1605.05775_FO0125 | 9 | 0.960 | \tilde{W} | | |
| 1605.05775_FO0126 | 9 | 1.000 | p(\ell, \mathbf{x})=\left|f^{\ell}(\mathbf{x})\right|^{2}=\left|W^{\ell} \cdot \Phi(\mathbf{x})\right|^{2} | | |
| 1605.05775_FO0127 | 9 | 1.000 | \tilde{p}(\ell, \mathbf{x}) | | |
| 1605.05775_FO0128 | 9 | 0.894 | D_{\text {KL }} | | |
| 1605.05775_FO0129 | 9 | 1.000 | \sigma | | |
| 1605.05775_FO0130 | 9 | 1.000 | L_{1} | | |
| 1605.05775_FO0131 | 10 | 1.000 | \phi^{s_{j}}\left(x_{j}\right), s_{j}=1,2, \ldots, d | | |
| 1605.05775_FO0132 | 10 | 1.000 | \theta_{j}=\frac{\pi}{2} x_{j} | | |
| 1605.05775_FO0133 | 10 | 1.000 | \left(\cos ^{2}\left(\theta_{j}\right)+\sin ^{2}\left(\theta_{j}\right)\right)=1 | | |
| 1605.05775_FO0134 | 10 | 0.989 | \binom{n}{k}=n!/(k!(n-k)!) | | |
| 1605.05775_FO0135 | 10 | 1.000 | \sum_{s_{j}}\left|\phi^{s_{j}}\right|^{2}=1 | | |
| 1605.05775_FO0136 | 10 | 1.000 | W^{\ell} \cdot \Phi(\mathbf{x}) | | |
| 1605.05775_FO0137 | 10 | 1.000 | \cos \left(\frac{\pi}{2} x_{j}\right), \cos \left(\frac{3 \pi}{2} x_{j}\right), \ldots | | |
| 1605.05775_FO0138 | 10 | 1.000 | \cos \left(\frac{(d-1) \pi}{2} x_{j}\right) | |