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(etexcmds) That can mean that you are not using pdfTeX 1.50 or (etexcmds) that some package has redefined \expanded. (etexcmds) In the latter case, load this package earlier. ))) Package grfext Info: Graphics extension search list: (grfext) [.png,.pdf,.jpg,.mps,.jpeg,.jbig2,.jb2,.PNG,.PDF,.JPG,.JPE G,.JBIG2,.JB2,.eps] (grfext) \AppendGraphicsExtensions on input line 452. (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv e )) !name(t.tex) !offset(-3) ./_region_.tex:10: Preview: Snippet 1 started. <-><-> l.10 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. Preview: Tightpage -32891 -32891 32891 32891 ./_region_.tex:10: Preview: Snippet 1 ended.(678606+196608x2633546). <-><-> l.10 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] ./_region_.tex:13: Preview: Snippet 2 started. <-><-> l.13 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:13: Preview: Snippet 2 ended.(537395+0x519368). <-><-> l.13 $S$ does not behave as well under covers, but we still have Not a real error. [2] ./_region_.tex:14: Preview: Snippet 3 started. <-><-> l.14 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:14: Preview: Snippet 3 ended.(775509+152916x455742). <-><-> l.14 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [3] ./_region_.tex:14: Preview: Snippet 4 started. <-><-> l.14 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:14: Preview: Snippet 4 ended.(546132+152916x455742). <-><-> l.14 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [4] ./_region_.tex:14: Preview: Snippet 5 started. <-><-> l.14 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:14: Preview: Snippet 5 ended.(775509+196608x9067912). <-><-> l.14 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [5] ./_region_.tex:18: Preview: Snippet 6 started. <-><-> l.18 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:18: Preview: Snippet 6 ended.(678606+196608x2633546). <-><-> l.18 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [6] ./_region_.tex:21: Preview: Snippet 7 started. <-><-> l.21 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:21: Preview: Snippet 7 ended.(537395+0x519368). <-><-> l.21 $S$ does not behave as well under covers, but we still have Not a real error. [7] ./_region_.tex:22: Preview: Snippet 8 started. <-><-> l.22 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:22: Preview: Snippet 8 ended.(775509+152916x455742). <-><-> l.22 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [8] ./_region_.tex:22: Preview: Snippet 9 started. <-><-> l.22 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:22: Preview: Snippet 9 ended.(546132+152916x455742). <-><-> l.22 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [9] ./_region_.tex:22: Preview: Snippet 10 started. <-><-> l.22 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:22: Preview: Snippet 10 ended.(775509+196608x9067912). <-><-> l.22 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [10] ./_region_.tex:26: Preview: Snippet 11 started. <-><-> l.26 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:26: Preview: Snippet 11 ended.(678606+196608x2633546). <-><-> l.26 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [11] ./_region_.tex:29: Preview: Snippet 12 started. <-><-> l.29 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:29: Preview: Snippet 12 ended.(537395+0x519368). <-><-> l.29 $S$ does not behave as well under covers, but we still have Not a real error. [12] ./_region_.tex:30: Preview: Snippet 13 started. <-><-> l.30 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:30: Preview: Snippet 13 ended.(775509+152916x455742). <-><-> l.30 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [13] ./_region_.tex:30: Preview: Snippet 14 started. <-><-> l.30 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:30: Preview: Snippet 14 ended.(546132+152916x455742). <-><-> l.30 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [14] ./_region_.tex:30: Preview: Snippet 15 started. <-><-> l.30 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:30: Preview: Snippet 15 ended.(775509+196608x9067912). <-><-> l.30 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [15] ./_region_.tex:34: Preview: Snippet 16 started. <-><-> l.34 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:34: Preview: Snippet 16 ended.(678606+196608x2633546). <-><-> l.34 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [16] ./_region_.tex:37: Preview: Snippet 17 started. <-><-> l.37 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:37: Preview: Snippet 17 ended.(537395+0x519368). <-><-> l.37 $S$ does not behave as well under covers, but we still have Not a real error. [17] ./_region_.tex:38: Preview: Snippet 18 started. <-><-> l.38 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:38: Preview: Snippet 18 ended.(775509+152916x455742). <-><-> l.38 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [18] ./_region_.tex:38: Preview: Snippet 19 started. <-><-> l.38 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:38: Preview: Snippet 19 ended.(546132+152916x455742). <-><-> l.38 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [19] ./_region_.tex:38: Preview: Snippet 20 started. <-><-> l.38 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:38: Preview: Snippet 20 ended.(775509+196608x9067912). <-><-> l.38 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [20] ./_region_.tex:42: Preview: Snippet 21 started. <-><-> l.42 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:42: Preview: Snippet 21 ended.(678606+196608x2633546). <-><-> l.42 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [21] ./_region_.tex:45: Preview: Snippet 22 started. <-><-> l.45 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:45: Preview: Snippet 22 ended.(537395+0x519368). <-><-> l.45 $S$ does not behave as well under covers, but we still have Not a real error. [22] ./_region_.tex:46: Preview: Snippet 23 started. <-><-> l.46 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:46: Preview: Snippet 23 ended.(775509+152916x455742). <-><-> l.46 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [23] ./_region_.tex:46: Preview: Snippet 24 started. <-><-> l.46 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:46: Preview: Snippet 24 ended.(546132+152916x455742). <-><-> l.46 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [24] ./_region_.tex:46: Preview: Snippet 25 started. <-><-> l.46 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:46: Preview: Snippet 25 ended.(775509+196608x9067912). <-><-> l.46 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [25] ./_region_.tex:50: Preview: Snippet 26 started. <-><-> l.50 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:50: Preview: Snippet 26 ended.(678606+196608x2633546). <-><-> l.50 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [26] ./_region_.tex:53: Preview: Snippet 27 started. <-><-> l.53 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:53: Preview: Snippet 27 ended.(537395+0x519368). <-><-> l.53 $S$ does not behave as well under covers, but we still have Not a real error. [27] ./_region_.tex:54: Preview: Snippet 28 started. <-><-> l.54 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:54: Preview: Snippet 28 ended.(775509+152916x455742). <-><-> l.54 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [28] ./_region_.tex:54: Preview: Snippet 29 started. <-><-> l.54 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:54: Preview: Snippet 29 ended.(546132+152916x455742). <-><-> l.54 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [29] ./_region_.tex:54: Preview: Snippet 30 started. <-><-> l.54 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:54: Preview: Snippet 30 ended.(775509+196608x9067912). <-><-> l.54 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [30] ./_region_.tex:58: Preview: Snippet 31 started. <-><-> l.58 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:58: Preview: Snippet 31 ended.(678606+196608x2633546). <-><-> l.58 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [31] ./_region_.tex:61: Preview: Snippet 32 started. <-><-> l.61 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:61: Preview: Snippet 32 ended.(537395+0x519368). <-><-> l.61 $S$ does not behave as well under covers, but we still have Not a real error. [32] ./_region_.tex:62: Preview: Snippet 33 started. <-><-> l.62 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:62: Preview: Snippet 33 ended.(775509+152916x455742). <-><-> l.62 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [33] ./_region_.tex:62: Preview: Snippet 34 started. <-><-> l.62 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:62: Preview: Snippet 34 ended.(546132+152916x455742). <-><-> l.62 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [34] ./_region_.tex:62: Preview: Snippet 35 started. <-><-> l.62 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:62: Preview: Snippet 35 ended.(775509+196608x9067912). <-><-> l.62 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [35] ./_region_.tex:66: Preview: Snippet 36 started. <-><-> l.66 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:66: Preview: Snippet 36 ended.(678606+196608x2633546). <-><-> l.66 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [36] ./_region_.tex:69: Preview: Snippet 37 started. <-><-> l.69 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:69: Preview: Snippet 37 ended.(537395+0x519368). <-><-> l.69 $S$ does not behave as well under covers, but we still have Not a real error. [37] ./_region_.tex:70: Preview: Snippet 38 started. <-><-> l.70 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:70: Preview: Snippet 38 ended.(775509+152916x455742). <-><-> l.70 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [38] ./_region_.tex:70: Preview: Snippet 39 started. <-><-> l.70 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:70: Preview: Snippet 39 ended.(546132+152916x455742). <-><-> l.70 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [39] ./_region_.tex:70: Preview: Snippet 40 started. <-><-> l.70 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:70: Preview: Snippet 40 ended.(775509+196608x9067912). <-><-> l.70 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [40] ./_region_.tex:74: Preview: Snippet 41 started. <-><-> l.74 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:74: Preview: Snippet 41 ended.(678606+196608x2633546). <-><-> l.74 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [41] ./_region_.tex:77: Preview: Snippet 42 started. <-><-> l.77 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:77: Preview: Snippet 42 ended.(537395+0x519368). <-><-> l.77 $S$ does not behave as well under covers, but we still have Not a real error. [42] ./_region_.tex:78: Preview: Snippet 43 started. <-><-> l.78 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:78: Preview: Snippet 43 ended.(775509+152916x455742). <-><-> l.78 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [43] ./_region_.tex:78: Preview: Snippet 44 started. <-><-> l.78 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:78: Preview: Snippet 44 ended.(546132+152916x455742). <-><-> l.78 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [44] ./_region_.tex:78: Preview: Snippet 45 started. <-><-> l.78 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:78: Preview: Snippet 45 ended.(775509+196608x9067912). <-><-> l.78 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [45] ./_region_.tex:82: Preview: Snippet 46 started. <-><-> l.82 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:82: Preview: Snippet 46 ended.(678606+196608x2633546). <-><-> l.82 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [46] ./_region_.tex:85: Preview: Snippet 47 started. <-><-> l.85 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:85: Preview: Snippet 47 ended.(537395+0x519368). <-><-> l.85 $S$ does not behave as well under covers, but we still have Not a real error. [47] ./_region_.tex:86: Preview: Snippet 48 started. <-><-> l.86 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:86: Preview: Snippet 48 ended.(775509+152916x455742). <-><-> l.86 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [48] ./_region_.tex:86: Preview: Snippet 49 started. <-><-> l.86 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:86: Preview: Snippet 49 ended.(546132+152916x455742). <-><-> l.86 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [49] ./_region_.tex:86: Preview: Snippet 50 started. <-><-> l.86 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:86: Preview: Snippet 50 ended.(775509+196608x9067912). <-><-> l.86 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [50] ./_region_.tex:90: Preview: Snippet 51 started. <-><-> l.90 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:90: Preview: Snippet 51 ended.(678606+196608x2633546). <-><-> l.90 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [51] ./_region_.tex:93: Preview: Snippet 52 started. <-><-> l.93 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:93: Preview: Snippet 52 ended.(537395+0x519368). <-><-> l.93 $S$ does not behave as well under covers, but we still have Not a real error. [52] ./_region_.tex:94: Preview: Snippet 53 started. <-><-> l.94 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:94: Preview: Snippet 53 ended.(775509+152916x455742). <-><-> l.94 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[\... Not a real error. [53] ./_region_.tex:94: Preview: Snippet 54 started. <-><-> l.94 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[\... Not a real error. ./_region_.tex:94: Preview: Snippet 54 ended.(546132+152916x455742). <-><-> l.94 ... if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [54] ./_region_.tex:94: Preview: Snippet 55 started. <-><-> l.94 ...detilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:94: Preview: Snippet 55 ended.(775509+196608x9067912). <-><-> l.94 ...e S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [55] ./_region_.tex:98: Preview: Snippet 56 started. <-><-> l.98 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:98: Preview: Snippet 56 ended.(678606+196608x2633546). <-><-> l.98 ...lies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [56] ./_region_.tex:101: Preview: Snippet 57 started. <-><-> l.101 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:101: Preview: Snippet 57 ended.(537395+0x519368). <-><-> l.101 $S$ does not behave as well under covers, but we still have Not a real error. [57] ./_region_.tex:102: Preview: Snippet 58 started. <-><-> l.102 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:102: Preview: Snippet 58 ended.(775509+152916x455742). <-><-> l.102 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. [58] ./_region_.tex:102: Preview: Snippet 59 started. <-><-> l.102 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:102: Preview: Snippet 59 ended.(546132+152916x455742). <-><-> l.102 ...if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [59] ./_region_.tex:102: Preview: Snippet 60 started. <-><-> l.102 ...etilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:102: Preview: Snippet 60 ended.(775509+196608x9067912). <-><-> l.102 ... S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [60] ./_region_.tex:106: Preview: Snippet 61 started. <-><-> l.106 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:106: Preview: Snippet 61 ended.(678606+196608x2633546). <-><-> l.106 ...ies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [61] ./_region_.tex:109: Preview: Snippet 62 started. <-><-> l.109 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:109: Preview: Snippet 62 ended.(537395+0x519368). <-><-> l.109 $S$ does not behave as well under covers, but we still have Not a real error. [62] ./_region_.tex:110: Preview: Snippet 63 started. <-><-> l.110 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:110: Preview: Snippet 63 ended.(775509+152916x455742). <-><-> l.110 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. [63] ./_region_.tex:110: Preview: Snippet 64 started. <-><-> l.110 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:110: Preview: Snippet 64 ended.(546132+152916x455742). <-><-> l.110 ...if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [64] ./_region_.tex:110: Preview: Snippet 65 started. <-><-> l.110 ...etilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:110: Preview: Snippet 65 ended.(775509+196608x9067912). <-><-> l.110 ... S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [65] [1] ./_region_.tex:114: Preview: Snippet 66 started. <-><-> l.114 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:114: Preview: Snippet 66 ended.(678606+196608x2633546). <-><-> l.114 ...ies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [66] ./_region_.tex:117: Preview: Snippet 67 started. <-><-> l.117 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:117: Preview: Snippet 67 ended.(537395+0x519368). <-><-> l.117 $S$ does not behave as well under covers, but we still have Not a real error. [67] ./_region_.tex:118: Preview: Snippet 68 started. <-><-> l.118 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:118: Preview: Snippet 68 ended.(775509+152916x455742). <-><-> l.118 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. [68] ./_region_.tex:118: Preview: Snippet 69 started. <-><-> l.118 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:118: Preview: Snippet 69 ended.(546132+152916x455742). <-><-> l.118 ...if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [69] ./_region_.tex:118: Preview: Snippet 70 started. <-><-> l.118 ...etilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:118: Preview: Snippet 70 ended.(775509+196608x9067912). <-><-> l.118 ... S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [70] ./_region_.tex:122: Preview: Snippet 71 started. <-><-> l.122 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:122: Preview: Snippet 71 ended.(678606+196608x2633546). <-><-> l.122 ...ies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [71] ./_region_.tex:125: Preview: Snippet 72 started. <-><-> l.125 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:125: Preview: Snippet 72 ended.(537395+0x519368). <-><-> l.125 $S$ does not behave as well under covers, but we still have Not a real error. [72] ./_region_.tex:126: Preview: Snippet 73 started. <-><-> l.126 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:126: Preview: Snippet 73 ended.(775509+152916x455742). <-><-> l.126 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. [73] ./_region_.tex:126: Preview: Snippet 74 started. <-><-> l.126 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:126: Preview: Snippet 74 ended.(546132+152916x455742). <-><-> l.126 ...if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [74] ./_region_.tex:126: Preview: Snippet 75 started. <-><-> l.126 ...etilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:126: Preview: Snippet 75 ended.(775509+196608x9067912). <-><-> l.126 ... S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [75] ./_region_.tex:130: Preview: Snippet 76 started. <-><-> l.130 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:130: Preview: Snippet 76 ended.(678606+196608x2633546). <-><-> l.130 ...ies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [76] ./_region_.tex:133: Preview: Snippet 77 started. <-><-> l.133 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:133: Preview: Snippet 77 ended.(537395+0x519368). <-><-> l.133 $S$ does not behave as well under covers, but we still have Not a real error. [77] ./_region_.tex:134: Preview: Snippet 78 started. <-><-> l.134 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:134: Preview: Snippet 78 ended.(775509+152916x455742). <-><-> l.134 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. [78] ./_region_.tex:134: Preview: Snippet 79 started. <-><-> l.134 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:134: Preview: Snippet 79 ended.(546132+152916x455742). <-><-> l.134 ...if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [79] ./_region_.tex:134: Preview: Snippet 80 started. <-><-> l.134 ...etilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:134: Preview: Snippet 80 ended.(775509+196608x9067912). <-><-> l.134 ... S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [80] ./_region_.tex:138: Preview: Snippet 81 started. <-><-> l.138 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:138: Preview: Snippet 81 ended.(678606+196608x2633546). <-><-> l.138 ...ies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [81] ./_region_.tex:141: Preview: Snippet 82 started. <-><-> l.141 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:141: Preview: Snippet 82 ended.(537395+0x519368). <-><-> l.141 $S$ does not behave as well under covers, but we still have Not a real error. [82] ./_region_.tex:142: Preview: Snippet 83 started. <-><-> l.142 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:142: Preview: Snippet 83 ended.(775509+152916x455742). <-><-> l.142 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. [83] ./_region_.tex:142: Preview: Snippet 84 started. <-><-> l.142 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:142: Preview: Snippet 84 ended.(546132+152916x455742). <-><-> l.142 ...if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [84] ./_region_.tex:142: Preview: Snippet 85 started. <-><-> l.142 ...etilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:142: Preview: Snippet 85 ended.(775509+196608x9067912). <-><-> l.142 ... S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [85] ./_region_.tex:146: Preview: Snippet 86 started. <-><-> l.146 which implies that the sequence $ S[\phi_{k}]^{1/k}$ Not a real error. ./_region_.tex:146: Preview: Snippet 86 ended.(678606+196608x2633546). <-><-> l.146 ...ies that the sequence $S[\phi_{k}]^{1/k}$ Not a real error. [86] ./_region_.tex:149: Preview: Snippet 87 started. <-><-> l.149 $ S$ does not behave as well under covers, but we still have Not a real error. ./_region_.tex:149: Preview: Snippet 87 ended.(537395+0x519368). <-><-> l.149 $S$ does not behave as well under covers, but we still have Not a real error. [87] ./_region_.tex:150: Preview: Snippet 88 started. <-><-> l.150 that if $ \widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:150: Preview: Snippet 88 ended.(775509+152916x455742). <-><-> l.150 that if $\widetilde \phi$ is a cover of $\phi$, then $S[\phi] \le S[... Not a real error. [88] ./_region_.tex:150: Preview: Snippet 89 started. <-><-> l.150 that if $\widetilde \phi$ is a cover of $ \phi$, then $S[\phi] \le S[... Not a real error. ./_region_.tex:150: Preview: Snippet 89 ended.(546132+152916x455742). <-><-> l.150 ...if $\widetilde \phi$ is a cover of $\phi$ , then $S[\phi] \le S[\wid... Not a real error. [89] ./_region_.tex:150: Preview: Snippet 90 started. <-><-> l.150 ...etilde \phi$ is a cover of $\phi$, then $ S[\phi] \le S[\widetilde ... Not a real error. ./_region_.tex:150: Preview: Snippet 90 ended.(775509+196608x9067912). <-><-> l.150 ... S[\widetilde \phi] \le \max(1,S[\phi])$ Not a real error. [90] \newlabel{tocindent-1}{0pt} \newlabel{tocindent0}{0pt} \newlabel{tocindent1}{0pt} \newlabel{tocindent2}{0pt} \newlabel{tocindent3}{0pt} [2] ) Here is how much of TeX's memory you used: 12537 strings out of 494977 243774 string characters out of 6180184 279934 words of memory out of 5000000 15360 multiletter control sequences out of 15000+600000 10630 words of font info for 42 fonts, out of 8000000 for 9000 197 hyphenation exceptions out of 8191 55i,6n,54p,616b,259s stack positions out of 5000i,500n,10000p,200000b,80000s < /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb> Output written on _region_.pdf (92 pages, 94391 bytes). PDF statistics: 341 PDF objects out of 1000 (max. 8388607) 235 compressed objects within 3 object streams 0 named destinations out of 1000 (max. 500000) 13 words of extra memory for PDF output out of 10000 (max. 10000000)