From b3ef3708f37bb681f1bb7ffe1e12e8b6a77d3974 Mon Sep 17 00:00:00 2001 From: =?utf8?q?Vladim=C3=ADr=20Vondru=C5=A1?= Date: Thu, 2 Nov 2017 00:01:37 +0100 Subject: [PATCH] site: new landing page dedicated for math features. --- doc/admire/math.rst | 196 ++++++++++++++++++++++++++++++++++++++ doc/static/cover-math.jpg | Bin 0 -> 110281 bytes 2 files changed, 196 insertions(+) create mode 100644 doc/admire/math.rst create mode 100644 doc/static/cover-math.jpg diff --git a/doc/admire/math.rst b/doc/admire/math.rst new file mode 100644 index 00000000..86a934a9 --- /dev/null +++ b/doc/admire/math.rst @@ -0,0 +1,196 @@ +.. + This file is part of m.css. + + Copyright © 2017 Vladimír Vondruš + + Permission is hereby granted, free of charge, to any person obtaining a + copy of this software and associated documentation files (the "Software"), + to deal in the Software without restriction, including without limitation + the rights to use, copy, modify, merge, publish, distribute, sublicense, + and/or sell copies of the Software, and to permit persons to whom the + Software is furnished to do so, subject to the following conditions: + + The above copyright notice and this permission notice shall be included + in all copies or substantial portions of the Software. + + THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + DEALINGS IN THE SOFTWARE. +.. + +m.css math +########## + +.. role:: em-strong(strong) + :class: m-text m-em +.. role:: text-primary + :class: m-text m-primary + +:save_as: admire/math/index.html +:url: admire/math/ +:cover: {filename}/static/cover-math.jpg +:summary: The fastest possible math rendering for the modern web +:landing: + .. container:: m-row + + .. container:: m-col-l-6 m-push-l-1 m-col-m-7 m-nopadb + + .. raw:: html + +

m.css math

+ + .. container:: m-row + + .. container:: m-col-l-6 m-push-l-1 m-col-m-7 m-nopadt + + *The* :em-strong:`fastest possible` *math rendering for the modern web.* + + With latest advancements in web tech, the browser should no longer + *struggle* to render math. Yet it still does. Why *jump around* + several times until the math settles down? Why *stutter* for + *seconds* in a heavy JavaScript renderer from a third-party CDN + that gets shut down every once a while? Why *saturate* the network + with extra requests for every small snippet? You don't need + *any of that*. + + .. container:: m-col-l-3 m-push-l-2 m-col-m-4 m-push-m-1 m-col-s-6 m-push-s-3 m-col-t-8 m-push-t-2 + + .. button-primary:: #demo + :class: m-fullwidth + + See the demo + + | don't worry, + | it's already loaded + + .. container:: m-row + + .. container:: m-col-m-12 + + .. https://en.wikipedia.org/wiki/Rendering_equation + + .. math:: + + L_o(p,\omega_o) = \int\limits_{\Omega} f_r(p,\omega_i,\omega_o) L_i(p,\omega_i) n \cdot \omega_i d\omega_i + +.. container:: m-row m-container-inflate + + .. container:: m-col-m-4 + + .. block-warning:: *Self-contained* inline SVG + + Embed math directly in HTML5 markup as pure paths, cutting away all + external dependencies or extra fonts. And having the SVG inline + means you can make use of all the CSS goodies on it. + + .. button-warning:: {filename}/css/components.rst#math + :class: m-fullwidth + + See the possibilites + + .. container:: m-col-m-4 + + .. block-success:: *Fastest possible* rendering + + As you unleash the full power of a static site generator to convert + LaTeX formulas to vector graphics locally, your viewers are saved + from needless HTTP requests and heavy JavaScript processing. + + .. button-success:: {filename}/pelican.rst + :class: m-fullwidth + + Start using Pelican + + .. container:: m-col-m-4 + + .. block-info:: You are *completely* in charge + + Since the math is rendered by your local TeX installation, you have + the full control over its appearance and you can be sure that it + will also render the same on all browsers. Now or two years later. + + .. button-info:: {filename}/plugins/math-and-code.rst#math + :class: m-fullwidth + + Get the Pelican plugin + +.. raw:: html + +
+ +Demo time! +========== + +Be sure to refresh your browser a couple of times to see how the rendering +performs and that there is no blank space or jumping until the math appears. +View the page source to verify that there is nothing extra being loaded to make +this happen. + + .. math:: + + \pi = \cfrac{4} {1+\cfrac{1^2} {2+\cfrac{3^2} {2+\cfrac{5^2} {2+\ddots}}}} + = \sum_{n=0}^\infty \frac{4(-1)^n}{2n+1} + = \frac{4}{1} - \frac{4}{3} + \frac{4}{5} - \frac{4}{7} +- \cdots + + .. class:: m-text m-text-right m-dim m-em + + --- `Generalized continued fraction `_, + Wikipedia + +Matrices render pretty well also: + + .. math:: + + R = \begin{pmatrix} + \langle\mathbf{e}_1,\mathbf{a}_1\rangle & \langle\mathbf{e}_1,\mathbf{a}_2\rangle & \langle\mathbf{e}_1,\mathbf{a}_3\rangle & \ldots \\ + 0 & \langle\mathbf{e}_2,\mathbf{a}_2\rangle & \langle\mathbf{e}_2,\mathbf{a}_3\rangle & \ldots \\ + 0 & 0 & \langle\mathbf{e}_3,\mathbf{a}_3\rangle & \ldots \\ + \vdots & \vdots & \vdots & \ddots \end{pmatrix}. + + .. class:: m-text m-text-right m-dim m-em + + --- `QR decomposition `_, + Wikipedia + +And :text-primary:`everything can be colored` just by putting CSS classes +around: + + .. math:: + :class: m-primary + + X_{k+N} \ \stackrel{\mathrm{def}}{=} \ \sum_{n=0}^{N-1} x_n e^{-\frac{2\pi i}{N} (k+N) n} = \sum_{n=0}^{N-1} x_n e^{-\frac{2\pi i}{N} k n} \underbrace{e^{-2 \pi i n}}_{1} = \sum_{n=0}^{N-1} x_n e^{-\frac{2\pi i}{N} k n} = X_k. + + .. class:: m-text m-text-right m-dim m-em + + -- `Discrete Fourier transform § Periodicity `_, Wikipedia + +And now, finally, some inline math. Note the vertical alignment, consistent +line spacing and that nothing gets relayouted during page load: + + Multiplying :math:`x_n` by a *linear phase* :math:`e^{\frac{2\pi i}{N}n m}` + for some integer :math:`m` corresponds to a *circular shift* of the output + :math:`X_k`: :math:`X_k` is replaced by :math:`X_{k-m}`, where the + subscript is interpreted `modulo `_ + :math:`N` (i.e., periodically). Similarly, a circular shift of the input + :math:`x_n` corresponds to multiplying the output :math:`X_k` by a linear + phase. Mathematically, if :math:`\{x_n\}` represents the vector + :math:`\boldsymbol{x}` then + + if :math:`\mathcal{F}(\{x_n\})_k=X_k` + + then :math:`\mathcal{F}(\{ x_n\cdot e^{\frac{2\pi i}{N}n m} \})_k=X_{k-m}` + + and :math:`\mathcal{F}(\{x_{n-m}\})_k=X_k\cdot e^{-\frac{2\pi i}{N}k m}` + + .. class:: m-text m-text-right m-dim m-em + + --- `Discrete Fourier transform § Shift theorem `_, Wikipedia + +.. note-dim:: + + *Wondering what m.css is all about?* Visit the `main page <{filename}/index.rst>`_ + to see what else it can offer to you. diff --git a/doc/static/cover-math.jpg b/doc/static/cover-math.jpg new file mode 100644 index 0000000000000000000000000000000000000000..4ec8d59ef3e3aa91347a2d45c437bc11b66f7bf9 GIT binary patch literal 110281 zcmeFa2S5}@`#-*Wg*)Krouix-DF+)h)5;Z2q9ve{;V-MW#ncKZ%X~yKu`+vXrzs@l`pMB<;XP$Yc?CkEaBe^QMiK&ML zg$7|bI6K@9!z8yFu)y-nGz<$3wZ+&NhN)p47z4urA+LthFeZe@!K(vSg76f0O`I<0 zF~k+6*bWkKDcG9ip#i@Wq*aIT5_o68+7R9buSFx|AfBLLLJrC|l*EWHa|WSLF+|W8 z5NTfmePb&N%Ysk|B>)#aVt6d19OfTr@8;y_h@~VJW)~+W<)reQ9h@E9FlR?64{s+Y zZ$~Gdv$MCeqqj>}nv1uyledcp7Ezd)R~#CSIl6!ljE>QyrK4kJkOwZ!OHl)?VTEDJ zYDBmcOoYyx!GI{ljfhYL#X{$^AtegW(24LKmk2Gf71d0sba#kZP2xd-&FVVsVnt#e z&>bms=Q_eJh>k5_L9Ic&vx}q5MnOPlkoJlLj4vd3aIiUTA(3w$(CPI`QXNVWKZz#; zX4VrtwSZamgg&S(ut^LMQzS8}TP2cz9`H}9XJMR$7`6m3)=26Gm4Y{Rwi{X_QQw#X z=s@CeDBnh+T-O#u+6^qy`k+6FQ5E1#gdBhvje_YE%xEI?Uk`GaB;6JG6(~Gx3Ra|G zB?@*1Imou#K#pq@(T-0e-M}GToWW~?M}33Z#$@fOHyY|`C~fI0iA0)^OutuJI1Cd( zh~&j%G@P&ooL~%`sHrv<>Vchf9SWwaGo(H3H{ii|g!NEb8n2U|&Vz;tIkhU73P8fKelGRm3nA9#JE{fK@4J)hPVxpz|sN3=07s z4U&#V2TcmrqVQ{jZYch)8HVYQGQp;pE=9f`gI>X%IJVOI{Pk&7;b7*?_s-wIq{9eFw_9V{e~D3bNG5_E`!wxp2*^XDoIyV!_f z4hUu>*dq`X4E_m}1L2$CLqL{{UQg1Y+hIdV`cuG9p=}@@Dt-p%3wZ?n z1mNeH1Qr7JDj@J}z#1eEOnk8nQa)TRv2f5G$xH%&s*%8G3^+~VF93&9^zkC~K{7pf z1b-IbWXKEtFhocF2w|lEBj88)4ETFsH-u5y?}JQ)kv=vgo(EWsqs4b0KA6G3zhK+hu}dvH;`$O-Ku$nJwF4S591@M z7bNpI$V6CX6B+#hNk?U=2Kk772mEOYe=NvHbYv@}Gs4fn7x4&e4%h_rL3C&EgS`lh zWR4(Z76XnJ6ZBNTvmyzM@|sWPh2$iYa*&>H$$ViDz{M@zbsO-~u z1Rb^Q(lXZd05=Q2WbY8|IlVw3=yh36yCH9ci2TX=3lR6-t z29gJr#g3HupXi%Nhg+l$0>J5DlL82l&euQ(gi*O(f({7p0RMOQStNfUDIbkd0vMxE zUa0JANII$uK8K*Ae(`trWmI3uJVHLQ$sDi=(gD%8lXO(}cTm@eF6%D{BYpmkK28HU zUy}0C*fNOpxHO)iy8!Osbn<^e@}sfnE0Q0LKkLZ891NICmgNh;4@r#LWQ`*s2enBr zu)}Rmo^TJRQTU4Ul|W!E5R}(*1hYAA;#c)<;?ebY#d`Il#4qZ@0Iv|QXjE(XEJq|} z=G+&%=BP$aw$>6fS8f zG%RTx)UdSe2XRB2tGLwqjd(EUq~IoJg@Da5^lIkpi}&ZWXKii!Q83MVzVNkmw6Lk| zqQJ6kr}(QjZ?RXKintl_>u1g(X6w)u38`RYPOyl|FUhSP_4~WaJ}uS@M_z7;rO=wAU8_zfU_a% zwsj1vnUlcsY_pDkX#R3tm0BBTZMMFarEl$&b&xY5{;M1%;k>r9 z@!Ab0;$b-s!VQgn;^~b|;zc=Tg6lcg1nxP*1!ZlAg|xOiLf^(T;gg(KLX(C9@yxdV z!kKLsg-hG63%|3j%X(;Sku|B!SfFW57jELL$+{zQ5q%-rAu18w6rB;x6D@?Zd7_v{ zZI5z9nU829n&>n51p_@;6bQ!|qQj5Q!A}6_sg&1Klqxzd#XCg9L|!5x#Lz?&ME8N` z+@s1z_a9k5Is>%NL`y``qL(0LIOKIgWFZwnpCDTRl7JLF!Y`80`F zcE?nH3LZ@2LBLPN*i}O2r$`P3hr#%U+s#T;+{_yi(|erC=Jp5 z;79k*w7?W-a}wzRfxpuJa4emRevc}jNOno)OG+v=JNzX+lC!?qlKzqq$>)--*jTI@ z^8^F28T;Yhdla-M;})znXGR2^oy7+OUPxke=S|3y*%Mu5u{sgDPY1U_^_MIDqSp-R ziS#yIdIyhg-y0f$h2SD%|E)l#$6qNIQA(nWvJ%VW$&~tg%7sIng@MR_*Gmlt#%s@& z{W@|xa(~Z#oBJmBb*@ZjYB(wP9niTjP+ol#v(bxIYMX4WL=OtU<4ky8*kqtSNm&;S0bms6hk_dT3 zfK`(72`MAxfb>NkIW!d;4<4PPJkaw2A$Yj0ke0y$!rtg7fR6G;`l1k}M>a*+4v0s9 zAPa%iyYrPaxJXW&dn^gXG$k9MY^`8hur72lX_&JQ&ynoIZ;+|km1ChqvLhn0;oMBJ z40|CFV3k*5TEoJu;P0d)7~%r4sfeYUW3kw5PmFCb)fYunwKjyc<5S@!oIke!v+g~O zq_VZ@TUM*oLTi3|Vogdk{5fL@2L5DGWvfqgWvl=9m94E->~Yi4H=e)M-aLJUS1~ZFw}lT(jf_gd)AY)P@5&kJhEr8v7jqJhqO{B6L5n(?+mCC zJE?%=&Gdc6k;jFGis0RQZ}09K)e7`rC5y70l?0YpfWL=}ql=5PqqDQKBU(HHZieo6 zgSy+WADQA~@F5mJZ=nCkrJqwd{I#qzA?DTyG|)h&HgL>nL4#-OEaLKjW73$G7~Ih@ zi`UZ9!t0$6gR4EPT0oC8uy^Os@k1OFbsKOz=}~$ZOuhbhl6#_cgvLE1ND9m*Q16t^ zA8`CCfHKVSiX(X+)@QOlB6Q#l;5_U(tUbu7G(U$G1j4A$A%Q<}F^ss{l~plo3M>w1 zb6!TykGC?kn{bHFf-xNZykI=fBIi0n?A5u!hlf}rn|5#IePrA>xr7OE<_jnAcif)v z^tR!!VKZ1PFR%ElEFn07K+qr-=ZNJl2fGKA>MIr3)il0@X%0KWQ1Vw?chjU|FA3B9 z6=8pK8gyBN23@f6u=o+oI19=g;dLT;E(`n4Qsa2pagF1Yc$i3H*q|#P+C+(z@6Ivs z7{znCho_?+m(kK?lqF6q&=eK9dUQ=k_1fL}j>3cBf{WOEr4^42WQUQxhv1Dt0lEN! 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