<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1405-7743</journal-id>
<journal-title><![CDATA[Ingeniería, investigación y tecnología]]></journal-title>
<abbrev-journal-title><![CDATA[Ing. invest. y tecnol.]]></abbrev-journal-title>
<issn>1405-7743</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Facultad de Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1405-77432005000300163</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The Best Manifold Theory in the Frequency Domain of Time Dependent Functions an Application to: Seismic Engineering]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Urrutia-Galicia]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,UNAM Instituto de Ingeniería ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2005</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2005</year>
</pub-date>
<volume>6</volume>
<numero>3</numero>
<fpage>163</fpage>
<lpage>176</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1405-77432005000300163&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1405-77432005000300163&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1405-77432005000300163&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The paper presents a novel civil engineering interpretation of the Fourier spectrum and phase of a seismic record. When the concept of linear manifolds is accounted for, we can generate clear interpretations of the maximum projections of a seismic event. Choosing the greatest ordinates of a given spectrum is equivalent to the selection of the frequency space where the maximal projections are recorded. The use of these maximum ordinates generates the original seismic record with great accuracy and with a minimum of data. This fact clearly indicates that most of the information about a time dependent signal is encoded in this best manifold. This fact is relevant, as it will clearly reduce the processing time, (depending on every record) up to 90%.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El artículo presenta una nueva interpretación (ingeniería civil) del espectro y fases de Fourier de un registro sísmico. Cuando se usa el concepto de espacios lineales coordenados, podemos generar interpretaciones claras de las máximas proyecciones de un evento sísmico. Escoger las máximas proyecciones de un espectro dado es equivalente a la selección del espacio de frecuencia en donde las máximas proyecciones son registradas. El uso de estas máximas ordenadas recupera un evento sísmico. Escoger las máximas proyecciones de un registro sísmico original con gran exactitud y con un mínimo de datos. Este hecho indica claramente que la mayor parte de la información de una señal dependiente del tiempo está codificada en el mejor espacio. Esto último es muy relevante, ya que reduce el tiempo de proceso, (dependiendo de cada registro) hasta en un 90%.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Signal analysis]]></kwd>
<kwd lng="en"><![CDATA[Fourier analysis]]></kwd>
<kwd lng="en"><![CDATA[best manifold solution]]></kwd>
<kwd lng="en"><![CDATA[amplitude spectrum]]></kwd>
<kwd lng="en"><![CDATA[phase spectrum]]></kwd>
<kwd lng="en"><![CDATA[1/f (1 over f noise) and Earth &#769;s translation]]></kwd>
<kwd lng="es"><![CDATA[Análisis de señales]]></kwd>
<kwd lng="es"><![CDATA[análisis de Fourier]]></kwd>
<kwd lng="es"><![CDATA[mejor espacio de solución]]></kwd>
<kwd lng="es"><![CDATA[espectro de amplitud]]></kwd>
<kwd lng="es"><![CDATA[espectro de fase]]></kwd>
<kwd lng="es"><![CDATA[1/f (1 sobre f ruido) y translación de la Tierra]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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</article>
