• The expression of mathematical concepts with words is inherently imprecise and metaphorical.
• The full expression of mathematical concepts is accessible only to mathematicians.
• The mind is trained from birth to recognize and complete patterns.

• An accurate depiction of mathematical concepts will not employ words.
• An accessible depiction of mathematical concepts will not employ specialised symbols.

An accessible and accurate depiction of mathematical concepts must use only basic mathematical symbols and demonstrate concepts by example.

<%
offset = rand(999)

google_SOAP_request = %Q(<?xml version='1.0' encoding='UTF-8'?>
<SOAP-ENV:Envelope xmlns:SOAP-ENV="http://schemas.xmlsoap.org/soap/envelope/" xmlns:xsi="http://www.w3.org/1999/XMLSchema-instance" xmlns:xsd="http://www.w3.org/1999/XMLSchema">
  <SOAP-ENV:Body>
    <ns1:doGoogleSearch xmlns:ns1="urn:GoogleSearch" 
         SOAP-ENV:encodingStyle="http://schemas.xmlsoap.org/soap/encoding/">
      <key xsi:type="xsd:string">#{@google_api_key}</key>
      <q xsi:type="xsd:string">Happiness</q>
      <start xsi:type="xsd:int">#{offset}</start>
      <maxResults xsi:type="xsd:int">1</maxResults>

      <filter xsi:type="xsd:boolean">false</filter>
      <restrict xsi:type="xsd:string"></restrict>
      <safeSearch xsi:type="xsd:boolean">false</safeSearch>
      <lr xsi:type="xsd:string"></lr>
      <ie xsi:type="xsd:string">utf-8</ie>
      <oe xsi:type="xsd:string">utf-8</oe>
    </ns1:doGoogleSearch>

  </SOAP-ENV:Body>
</SOAP-ENV:Envelope>)

path = '/search/beta2'
headers = { 'Content-Type' => 'text/xml; charset=utf-8' }
http = Net::HTTP.new('api.google.com', 80)
resp, data = http.post(path, google_SOAP_request, headers)
%>

<div>
<%= 
CGI::unescapeHTML data.match(/<snippet xsi:type="xsd:string">(.+)<\/snippet>/)[1].gsub(">", ">").gsub("<", "<") %>
</div>