lambdaway :: formulas

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{require lib_math}

_h1 diplaying math | [[maxwell]] equations

_p The [[lib_math]] page is an {b editable and extendable library} containing currently 6 functions: 
{pre {center \math, \cell, \sqrt, \frac, \table, \paren}}

_p This a first example of application, writing

{pre
'{\math
  x = {\frac {\cell -b ± {\sqrt b{sup 2} - 4ac}}
             {\cell 2a} }}
}

_p displays

{{BLOCK 1}
{\math x = {\frac {\cell -b ± {\sqrt b{sup 2} - 4ac}} 2a}}
}

_h2 Some other tests

_p Writing

{pre °°
R{sub μν} - {\frac {\cell 1} {\cell 2}}g{sub μν}R = T{sub μν}
°°}
_p displays
{{BLOCK 2}
{\math R{sub μν} - {\frac {\cell 1} {\cell 2}}g{sub μν}R = T{sub μν}}
}

_p writing

{pre 
M = '{\math
     {\paren [ 4.0}
      {{\table}
       {tr {td cos(θ)}  {td sin(θ)}}
       {tr {td -sin(θ)} {td cos(θ)}} } 
     {\paren ] 4.0}}
}

_p displays

{{BLOCK 1}
M = {\math {\paren [ 4.0}
{{\table} {tr {td cos(θ)} {td sin(θ)}}
          {tr {td -sin(θ)} {td cos(θ)}} } {\paren ] 4.0}}
}

_p writing

{pre
E = '{\math {\sigma i=0 ∞ 3}{\frac 1 i!} = {E}}
}
_p displays

{{BLOCK 1}
E = {\math {\sigma i=0 ∞ 3} {\frac 1 i!} = {E}}
}

_p writing

{pre
S = '{\math {\frac {\cell 1 + x{sup 2} - y{sup 2} + sin(x)} 
                  {\cell 1 + {\sqrt x{sup 2} + y {sup 2}} }}}
}

_p displays

{{BLOCK 1}
S = {\math {\frac {\cell 1 + x{sup 2} - y{sup 2} + sin(x)} 
                 {\cell 1 + {\sqrt x{sup 2} + y {sup 2}} }}}
}

_p writing
{pre

'{def phi
 {lambda {:n}
  {if {= :n 0}
   then {\frac 1 1+...}
   else {\frac {\cell 1}
               {\cell {span {@ style="vertical-align:top;
                                      line-height:3.5em;"}
                            1+}{phi {- :n 1}}}}}}}
-> {def phi
 {lambda {:n}
  {if {= :n 0}
   then {\frac 1 1+...}
   else {\frac {\cell 1} {\cell {span {@ style="vertical-align:top; line-height:3.5em;"}1+}{phi {- :n 1}}}}}}}

'{table
 {tr {@ style="vertical-align:top;
               line-height:2.8em;"}
     {td Φ=} {td {\math {phi 20}}}}}
}

_p displays

{{BLOCK 1}
 {center
  {table {tr {@ style="vertical-align:top; line-height:2.8em;"}{td Φ_=} {td {\math {phi 20}}}}}
}}

_h2 what about MathML?

_p Remember that this [[MathML|https://en.wikipedia.org/wiki/MathML]] expression

{pre
< math>
  < mrow>
    < mi>x< /mi>
    < mo>=< /mo>
    < mfrac>
      < mrow>
        < mrow>
          < mo>-< /mo>
          < mi>b< /mi>
        < /mrow>
        < mo>±< /mo>
        < msqrt>
          < mrow>
            < msup>
              < mi>b< /mi>
              < mn>2< /mn>
            < /msup>
            < mo>-< /mo>
            < mrow>
              < mn>4< /mn>
              < mo>⁢< /mo>
              < mi>a< /mi>
              < mo>⁢< /mo>
              < mi>c< /mi>
            < /mrow>
          < /mrow>
        < /msqrt>
      < /mrow>
      < mrow>
        < mn>2< /mn>
        < mo>⁢< /mo>
        < mi>a< /mi>
      < /mrow>
    < /mfrac>
  < /mrow>
< /math> 
}

_p displays

{div {@ style="font-size:2.0em; text-align:center;"}
<math>
  <mrow>
    <mi>x</mi>
    <mo>=</mo>
    <mfrac>
      <mrow>
        <mrow>
          <mo>-</mo>
          <mi>b</mi>
        </mrow>
        <mo>±</mo>
        <msqrt>
          <mrow>
            <msup>
              <mi>b</mi>
              <mn>2</mn>
            </msup>
            <mo>-</mo>
            <mrow>
              <mn>4</mn>
              <mo>⁢</mo>
              <mi>a</mi>
              <mo>⁢</mo>
              <mi>c</mi>
            </mrow>
          </mrow>
        </msqrt>
      </mrow>
      <mrow>
        <mn>2</mn>
        <mo>⁢</mo>
        <mi>a</mi>
      </mrow>
    </mfrac>
  </mrow>
</math>
}

_p to be compared with this '{lambda speech} expression

{pre
'{\math
  x = {\frac
   {\cell -b ± {\sqrt b{sup 2} - 4ac}}
   {\cell 2a} }}
}

_p  Note that « Google removed support of MathML claiming architectural security issues and low usage do not justify their engineering time. » 
_p So MathML can't be the good choice.

{{hide}
{def BLOCK
 {lambda {:s}
  div {@ style="font-size::sem;
                text-align:center;
                font-style:italic;"}}}
}

{style 
pre { box-shadow:0 0 8px #000; padding: 10px; }
#page_content div { background:#eee; padding: 10px; }
}