28:@0.037229:0.974518:0.056728:0.974518:0.056728:0.957377:0.037229:0.957377:0.000000:0.000000
Estructura algebraica y orden en los números reales:@0.073089:0.043661:0.532427:0.043661:0.532427:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor absoluto:@0.293660:0.237323:0.402918:0.237323:0.402918:0.220653:0.293660:0.220653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El valor absoluto de un número real es su magnitud, o sea, la distancia sobre la recta :@0.293660:0.262896:0.931146:0.262896:0.931146:0.247183:0.293660:0.247183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numérica entre el punto que representa y el origen.:@0.293660:0.279537:0.667430:0.279537:0.667430:0.263825:0.293660:0.263825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.293660:0.305110:0.371628:0.305110:0.371628:0.288441:0.293660:0.288441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   es un número real, entonces el valor absoluto de   es:@0.293660:0.330683:0.703903:0.330683:0.703903:0.314971:0.293660:0.314971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.309840:0.330683:0.317295:0.330683:0.317295:0.315248:0.309840:0.315248:0.000000
x:@0.676844:0.330683:0.684299:0.330683:0.684299:0.315248:0.676844:0.315248:0.000000
U U:@0.293660:0.366186:0.307097:0.366186:0.307097:0.348532:0.293660:0.348532:0.000000:0.000000:0.000000
x:@0.296642:0.365603:0.304097:0.365603:0.304097:0.350168:0.296642:0.350168:0.000000
 5  :@0.307005:0.365049:0.342321:0.365056:0.342321:0.351341:0.307005:0.351333:0.000000:0.000000:0.000000:0.000000
2:@0.293660:0.393666:0.306206:0.393666:0.306206:0.382444:0.293660:0.382444:0.000000
8:@0.306206:0.394120:0.313555:0.394120:0.313555:0.381264:0.306206:0.381264:0.000000
2:@0.334971:0.393666:0.347516:0.393666:0.347516:0.382444:0.334971:0.382444:0.000000
7:@0.347516:0.394120:0.354866:0.394120:0.354866:0.381264:0.347516:0.381264:0.000000
2:@0.378104:0.393666:0.390650:0.393666:0.390650:0.382444:0.378104:0.382444:0.000000
6:@0.390650:0.394120:0.397999:0.394120:0.397999:0.381264:0.390650:0.381264:0.000000
2:@0.421237:0.393666:0.433783:0.393666:0.433783:0.382444:0.421237:0.382444:0.000000
5:@0.433783:0.394120:0.441132:0.394120:0.441132:0.381264:0.433783:0.381264:0.000000
2:@0.464371:0.393666:0.476916:0.393666:0.476916:0.382444:0.464371:0.382444:0.000000
4:@0.476916:0.394120:0.484266:0.394120:0.484266:0.381264:0.476916:0.381264:0.000000
2:@0.507504:0.393666:0.520049:0.393666:0.520049:0.382444:0.507504:0.382444:0.000000
3:@0.520049:0.394120:0.527399:0.394120:0.527399:0.381264:0.520049:0.381264:0.000000
2:@0.548965:0.393666:0.561511:0.393666:0.561511:0.382444:0.548965:0.382444:0.000000
2:@0.561511:0.394120:0.568860:0.394120:0.568860:0.381264:0.561511:0.381264:0.000000
2:@0.591963:0.393666:0.604508:0.393666:0.604508:0.382444:0.591963:0.382444:0.000000
1:@0.604508:0.394120:0.611858:0.394120:0.611858:0.381264:0.604508:0.381264:0.000000
0:@0.642822:0.394120:0.650172:0.394120:0.650172:0.381264:0.642822:0.381264:0.000000
1:@0.685443:0.394120:0.692793:0.394120:0.692793:0.381264:0.685443:0.381264:0.000000
2:@0.728065:0.394120:0.735414:0.394120:0.735414:0.381264:0.728065:0.381264:0.000000
3:@0.770686:0.394120:0.778035:0.394120:0.778035:0.381264:0.770686:0.381264:0.000000
4:@0.813307:0.394120:0.820656:0.394120:0.820656:0.381264:0.813307:0.381264:0.000000
5:@0.855928:0.394120:0.863278:0.394120:0.863278:0.381264:0.855928:0.381264:0.000000
6:@0.898549:0.394120:0.905899:0.394120:0.905899:0.381264:0.898549:0.381264:0.000000
U:@0.474401:0.423746:0.477475:0.423746:0.477475:0.406092:0.474401:0.406092:0.000000
2  5 :@0.477368:0.422609:0.528853:0.422609:0.528853:0.408894:0.477368:0.408894:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.492609:0.423164:0.501592:0.423164:0.501592:0.407451:0.492609:0.407451:0.000000
U:@0.501518:0.423746:0.504592:0.423746:0.504592:0.406092:0.501518:0.406092:0.000000
7 :@0.528754:0.423164:0.541087:0.423164:0.541087:0.406481:0.528754:0.406481:0.000000:0.000000
 :@0.594862:0.423164:0.598212:0.423164:0.598212:0.406481:0.594862:0.406481:0.000000
          :@0.655120:0.423164:0.687959:0.423164:0.687959:0.406481:0.655120:0.406481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U U:@0.687942:0.423746:0.702907:0.423746:0.702907:0.406092:0.687942:0.406092:0.000000:0.000000:0.000000
2:@0.690924:0.423164:0.699907:0.423164:0.699907:0.407451:0.690924:0.407451:0.000000
 5 :@0.702815:0.422609:0.727168:0.422609:0.727168:0.408894:0.702815:0.408894:0.000000:0.000000:0.000000
2:@0.727076:0.423164:0.736132:0.423164:0.736132:0.406481:0.727076:0.406481:0.000000
Evalúa:@0.293658:0.456212:0.343220:0.456212:0.343220:0.439542:0.293658:0.439542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.343137:0.456212:0.347168:0.456212:0.347168:0.440499:0.343137:0.440499:0.000000
U U:@0.355063:0.449429:0.368501:0.449429:0.368501:0.431775:0.355063:0.431775:0.000000:0.000000:0.000000
x:@0.358045:0.448847:0.365500:0.448847:0.365500:0.433411:0.358045:0.433411:0.000000
x:@0.358045:0.463464:0.365500:0.463464:0.365500:0.448028:0.358045:0.448028:0.000000
si :@0.293657:0.491145:0.308254:0.491145:0.308254:0.475432:0.293657:0.475432:0.000000:0.000000:0.000000
x   :@0.308162:0.491145:0.337356:0.491145:0.337356:0.475709:0.308162:0.475709:0.000000:0.000000:0.000000:0.000000
.:@0.318801:0.490590:0.334134:0.490590:0.334134:0.476874:0.318801:0.476874:0.000000
0 entonces :@0.337282:0.491145:0.421617:0.491145:0.421617:0.475432:0.337282:0.475432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.427235:0.483882:0.434690:0.483882:0.434690:0.468446:0.427235:0.468446:0.000000
x:@0.427235:0.498499:0.434690:0.498499:0.434690:0.483063:0.427235:0.483063:0.000000
   :@0.440378:0.491135:0.463608:0.491135:0.463608:0.475422:0.440378:0.475422:0.000000:0.000000:0.000000
5:@0.444335:0.490580:0.459668:0.490580:0.459668:0.476864:0.444335:0.476864:0.000000
x:@0.469270:0.481895:0.476725:0.481895:0.476725:0.466459:0.469270:0.466459:0.000000
x:@0.469270:0.496512:0.476725:0.496512:0.476725:0.481076:0.469270:0.481076:0.000000
  1 (ten en cuenta que   no puede ser cero):@0.482413:0.491145:0.804498:0.491145:0.804498:0.475432:0.482413:0.475432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.486371:0.490590:0.501704:0.490590:0.501704:0.476874:0.486371:0.476874:0.000000
x:@0.656601:0.491145:0.664056:0.491145:0.664056:0.475709:0.656601:0.475709:0.000000
si :@0.293665:0.525122:0.308262:0.525122:0.308262:0.509409:0.293665:0.509409:0.000000:0.000000:0.000000
x   :@0.308170:0.525122:0.337364:0.525122:0.337364:0.509686:0.308170:0.509686:0.000000:0.000000:0.000000:0.000000
,:@0.318809:0.524567:0.334143:0.524567:0.334143:0.510851:0.318809:0.510851:0.000000
0 entonces :@0.337290:0.525122:0.421625:0.525122:0.421625:0.509409:0.337290:0.509409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U U:@0.427926:0.515609:0.441363:0.515609:0.441363:0.497955:0.427926:0.497955:0.000000:0.000000:0.000000
x:@0.430908:0.515027:0.438363:0.515027:0.438363:0.499592:0.430908:0.499592:0.000000
x:@0.430908:0.532889:0.438363:0.532889:0.438363:0.517454:0.430908:0.517454:0.000000
   :@0.447732:0.525095:0.470962:0.525095:0.470962:0.509383:0.447732:0.509383:0.000000:0.000000:0.000000
5:@0.451690:0.524541:0.467023:0.524541:0.467023:0.510825:0.451690:0.510825:0.000000
2:@0.473619:0.514534:0.488953:0.514534:0.488953:0.500818:0.473619:0.500818:0.000000
x:@0.488861:0.515089:0.496316:0.515089:0.496316:0.499653:0.488861:0.499653:0.000000
x:@0.481240:0.532951:0.488695:0.532951:0.488695:0.517516:0.481240:0.517516:0.000000
 :@0.498966:0.525102:0.502997:0.525102:0.502997:0.509389:0.498966:0.509389:0.000000
52:@0.502924:0.524547:0.533498:0.524547:0.533498:0.510831:0.502924:0.510831:0.000000:0.000000
1:@0.533406:0.525102:0.542389:0.525102:0.542389:0.509389:0.533406:0.509389:0.000000
3.1 Propiedades del valor absoluto:@0.293670:0.550675:0.565573:0.550675:0.565573:0.533728:0.293670:0.533728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.293670:0.578036:0.323391:0.578036:0.323391:0.562324:0.293670:0.562324:0.000000:0.000000:0.000000:0.000000
x      x:@0.323287:0.578036:0.379282:0.578036:0.379282:0.562601:0.323287:0.562601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.333927:0.577898:0.349260:0.577898:0.349260:0.563849:0.333927:0.563849:0.000000
R:@0.352408:0.577177:0.365698:0.577177:0.365698:0.564279:0.352408:0.564279:0.000000
U U:@0.368845:0.578619:0.382283:0.578619:0.382283:0.560965:0.368845:0.560965:0.000000:0.000000:0.000000
 $ :@0.382191:0.577482:0.406543:0.577482:0.406543:0.563766:0.382191:0.563766:0.000000:0.000000:0.000000
0 :@0.406451:0.578036:0.419465:0.578036:0.419465:0.562324:0.406451:0.562324:0.000000:0.000000
1. :@0.293660:0.598263:0.309730:0.598263:0.309730:0.582550:0.293660:0.582550:0.000000:0.000000:0.000000
U U:@0.323781:0.598845:0.337218:0.598845:0.337218:0.581191:0.323781:0.581191:0.000000:0.000000:0.000000
x:@0.326763:0.598263:0.334218:0.598263:0.334218:0.582827:0.326763:0.582827:0.000000
 5  2:@0.337126:0.597708:0.379702:0.597708:0.379702:0.583992:0.337126:0.583992:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.361387:0.598845:0.364461:0.598845:0.364461:0.581191:0.361387:0.581191:0.000000
x:@0.379610:0.598263:0.387065:0.598263:0.387065:0.582827:0.379610:0.582827:0.000000
U:@0.386992:0.598845:0.390066:0.598845:0.390066:0.581191:0.386992:0.581191:0.000000
2. :@0.293660:0.618477:0.309730:0.618477:0.309730:0.602765:0.293660:0.602765:0.000000:0.000000:0.000000
U U:@0.323781:0.619060:0.344839:0.619060:0.344839:0.601406:0.323781:0.601406:0.000000:0.000000:0.000000
xy:@0.326763:0.618477:0.341820:0.618477:0.341820:0.603042:0.326763:0.603042:0.000000:0.000000
 5 :@0.344747:0.617923:0.369100:0.617923:0.369100:0.604207:0.344747:0.604207:0.000000:0.000000:0.000000
U UU U:@0.369008:0.619060:0.395809:0.619060:0.395809:0.601406:0.369008:0.601406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.371990:0.618477:0.392808:0.618477:0.392808:0.603042:0.371990:0.603042:0.000000:0.000000:0.000000
3.   :@0.293660:0.646964:0.327824:0.646964:0.327824:0.631251:0.293660:0.631251:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.331457:0.641113:0.338234:0.641113:0.338234:0.627081:0.331457:0.627081:0.000000
5:@0.346852:0.646811:0.360791:0.646811:0.360791:0.634343:0.346852:0.634343:0.000000
U U:@0.371350:0.641642:0.383717:0.641642:0.383717:0.625593:0.371350:0.625593:0.000000:0.000000:0.000000
x:@0.374145:0.641113:0.380922:0.641113:0.380922:0.627081:0.374145:0.627081:0.000000
y:@0.331440:0.654136:0.338234:0.654136:0.338234:0.640104:0.331440:0.640104:0.000000
U U:@0.371334:0.654666:0.383717:0.654666:0.383717:0.638617:0.371334:0.638617:0.000000:0.000000:0.000000
y:@0.374128:0.654136:0.380922:0.654136:0.380922:0.640104:0.374128:0.640104:0.000000
 :@0.389396:0.646964:0.393427:0.646964:0.393427:0.631251:0.389396:0.631251:0.000000
4. :@0.293660:0.672541:0.309730:0.672541:0.309730:0.656828:0.293660:0.656828:0.000000:0.000000:0.000000
U U:@0.323781:0.673123:0.337218:0.673123:0.337218:0.655469:0.323781:0.655469:0.000000:0.000000:0.000000
x:@0.326763:0.672541:0.334218:0.672541:0.334218:0.657105:0.326763:0.657105:0.000000
 5   :@0.337126:0.671986:0.379353:0.671986:0.379353:0.658270:0.337126:0.658270:0.000000:0.000000:0.000000:0.000000:0.000000
U U:@0.361387:0.673123:0.374843:0.673123:0.374843:0.655469:0.361387:0.655469:0.000000:0.000000:0.000000
y:@0.364369:0.672541:0.371842:0.672541:0.371842:0.657105:0.364369:0.657105:0.000000
  5      5 2:@0.401714:0.671986:0.519502:0.671986:0.519502:0.658270:0.401714:0.658270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  :@0.406224:0.672541:0.422441:0.672541:0.422441:0.656828:0.406224:0.656828:0.000000:0.000000:0.000000
x:@0.411028:0.672541:0.418483:0.672541:0.418483:0.657105:0.411028:0.657105:0.000000
y:@0.442118:0.672541:0.449591:0.672541:0.449591:0.657105:0.442118:0.657105:0.000000
~:@0.454027:0.673123:0.469361:0.673123:0.469361:0.655469:0.454027:0.655469:0.000000
x :@0.473778:0.672541:0.484473:0.672541:0.484473:0.657105:0.473778:0.657105:0.000000:0.000000
y:@0.519410:0.672541:0.526883:0.672541:0.526883:0.657105:0.519410:0.657105:0.000000
):@0.526810:0.672541:0.531412:0.672541:0.531412:0.656301:0.526810:0.656301:0.000000
5. :@0.293660:0.692757:0.309730:0.692757:0.309730:0.677044:0.293660:0.677044:0.000000:0.000000:0.000000
U U:@0.323781:0.693339:0.337218:0.693339:0.337218:0.675685:0.323781:0.675685:0.000000:0.000000:0.000000
x:@0.326763:0.692757:0.334218:0.692757:0.334218:0.677321:0.326763:0.677321:0.000000
 5   :@0.337126:0.692202:0.373389:0.692202:0.373389:0.678486:0.337126:0.678486:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.361387:0.692757:0.368860:0.692757:0.368860:0.677321:0.361387:0.677321:0.000000
  $      5 :@0.395750:0.692202:0.504629:0.692202:0.504629:0.678486:0.395750:0.678486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  :@0.400260:0.692757:0.416495:0.692757:0.416495:0.677044:0.400260:0.677044:0.000000:0.000000:0.000000
y:@0.405064:0.692757:0.412538:0.692757:0.412538:0.677321:0.405064:0.677321:0.000000
0:@0.436172:0.692757:0.445155:0.692757:0.445155:0.677044:0.436172:0.677044:0.000000
`:@0.449591:0.693339:0.464925:0.693339:0.464925:0.675685:0.449591:0.675685:0.000000
(:@0.469342:0.692757:0.474220:0.692757:0.474220:0.677044:0.469342:0.677044:0.000000
x :@0.474147:0.692757:0.484841:0.692757:0.484841:0.677321:0.474147:0.677321:0.000000:0.000000
y :@0.504537:0.692757:0.515250:0.692757:0.515250:0.677321:0.504537:0.677321:0.000000:0.000000
~ :@0.515195:0.693339:0.535038:0.693339:0.535038:0.675685:0.515195:0.675685:0.000000:0.000000
x :@0.534946:0.692757:0.545640:0.692757:0.545640:0.677321:0.534946:0.677321:0.000000:0.000000
5 2:@0.545585:0.692202:0.580669:0.692202:0.580669:0.678486:0.545585:0.678486:0.000000:0.000000:0.000000
y:@0.580577:0.692757:0.588051:0.692757:0.588051:0.677321:0.580577:0.677321:0.000000
)):@0.587977:0.692757:0.597125:0.692757:0.597125:0.676517:0.587977:0.676517:0.000000:0.000000
6. :@0.293660:0.712971:0.309730:0.712971:0.309730:0.697259:0.293660:0.697259:0.000000:0.000000:0.000000
U U:@0.323781:0.713554:0.337218:0.713554:0.337218:0.695900:0.323781:0.695900:0.000000:0.000000:0.000000
x:@0.326763:0.712971:0.334218:0.712971:0.334218:0.697536:0.326763:0.697536:0.000000
 .   :@0.337126:0.712417:0.373389:0.712417:0.373389:0.698701:0.337126:0.698701:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.361387:0.712971:0.368860:0.712971:0.368860:0.697536:0.361387:0.697536:0.000000
  . :@0.395750:0.712417:0.436246:0.712417:0.436246:0.698701:0.395750:0.698701:0.000000:0.000000:0.000000:0.000000
(  :@0.400260:0.712971:0.416477:0.712971:0.416477:0.697259:0.400260:0.697259:0.000000:0.000000:0.000000
x:@0.405064:0.712971:0.412519:0.712971:0.412519:0.697536:0.405064:0.697536:0.000000
y :@0.436154:0.712971:0.446867:0.712971:0.446867:0.697536:0.436154:0.697536:0.000000:0.000000
~ :@0.446812:0.713554:0.466655:0.713554:0.466655:0.695900:0.446812:0.695900:0.000000:0.000000
x :@0.466563:0.712971:0.477257:0.712971:0.477257:0.697536:0.466563:0.697536:0.000000:0.000000
, 2:@0.477202:0.712417:0.512286:0.712417:0.512286:0.698701:0.477202:0.698701:0.000000:0.000000:0.000000
y:@0.512194:0.712971:0.519668:0.712971:0.519668:0.697536:0.512194:0.697536:0.000000
):@0.519594:0.712971:0.524196:0.712971:0.524196:0.696732:0.519594:0.696732:0.000000
7. :@0.293660:0.733188:0.309730:0.733188:0.309730:0.717475:0.293660:0.717475:0.000000:0.000000:0.000000
U U:@0.323781:0.733770:0.337218:0.733770:0.337218:0.716116:0.323781:0.716116:0.000000:0.000000:0.000000
x y:@0.326763:0.733188:0.353619:0.733188:0.353619:0.717752:0.326763:0.717752:0.000000:0.000000:0.000000
    . :@0.337126:0.732633:0.377898:0.732633:0.377898:0.718917:0.337126:0.718917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 :@0.377806:0.733188:0.390747:0.733188:0.390747:0.717475:0.377806:0.717475:0.000000:0.000000
`:@0.390655:0.733770:0.405988:0.733770:0.405988:0.716116:0.390655:0.716116:0.000000
  2 ,  , :@0.405896:0.732633:0.492042:0.732633:0.492042:0.718917:0.405896:0.718917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.410406:0.733188:0.415284:0.733188:0.415284:0.717475:0.410406:0.717475:0.000000
y:@0.430451:0.733188:0.437924:0.733188:0.437924:0.717752:0.430451:0.717752:0.000000
 :@0.437851:0.733188:0.441882:0.733188:0.441882:0.717475:0.437851:0.717475:0.000000
x :@0.461559:0.733188:0.472254:0.733188:0.472254:0.717752:0.461559:0.717752:0.000000:0.000000
y:@0.491950:0.733188:0.499423:0.733188:0.499423:0.717752:0.491950:0.717752:0.000000
) :@0.499349:0.733188:0.506804:0.733188:0.506804:0.716948:0.499349:0.716948:0.000000:0.000000
8. :@0.293660:0.753404:0.309730:0.753404:0.309730:0.737691:0.293660:0.737691:0.000000:0.000000:0.000000
U U:@0.323781:0.753986:0.337218:0.753986:0.337218:0.736332:0.323781:0.736332:0.000000:0.000000:0.000000
x:@0.326763:0.753404:0.334218:0.753404:0.334218:0.737968:0.326763:0.737968:0.000000
2:@0.337133:0.747340:0.342370:0.747340:0.342370:0.738179:0.337133:0.738179:0.000000
 5 :@0.342322:0.752849:0.366675:0.752849:0.366675:0.739133:0.342322:0.739133:0.000000:0.000000:0.000000
x:@0.366583:0.753404:0.374038:0.753404:0.374038:0.737968:0.366583:0.737968:0.000000
2:@0.373973:0.747340:0.379210:0.747340:0.379210:0.738179:0.373973:0.738179:0.000000
3.2 Función del valor absoluto:@0.293660:0.780767:0.529818:0.780767:0.529818:0.763820:0.293660:0.763820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.293660:0.808129:0.310540:0.808129:0.310540:0.792693:0.293660:0.792693:0.000000:0.000000:0.000000
( )   :@0.298280:0.808129:0.338482:0.808129:0.338482:0.792416:0.298280:0.792416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.319209:0.807574:0.334543:0.807574:0.334543:0.793858:0.319209:0.793858:0.000000
U U:@0.338408:0.808711:0.351845:0.808711:0.351845:0.791057:0.338408:0.791057:0.000000:0.000000:0.000000
x:@0.341390:0.808129:0.348845:0.808129:0.348845:0.792693:0.341390:0.792693:0.000000
2 2 2 2 2 2:@0.496165:0.910846:0.580223:0.910943:0.580223:0.902214:0.496165:0.902117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7 6 5 4 3 2:@0.505923:0.911199:0.585939:0.911296:0.585939:0.901297:0.505923:0.901200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.601506:0.928628:0.611264:0.928628:0.611264:0.919900:0.601506:0.919900:0.000000
2:@0.611264:0.928981:0.616980:0.928981:0.616980:0.918982:0.611264:0.918982:0.000000
2:@0.585907:0.910809:0.596073:0.910809:0.596073:0.902080:0.585907:0.902080:0.000000
1:@0.596073:0.911162:0.602029:0.911162:0.602029:0.901163:0.596073:0.901163:0.000000
2:@0.600015:0.917613:0.610182:0.917613:0.610182:0.908885:0.600015:0.908885:0.000000
1:@0.610182:0.917966:0.616137:0.917966:0.616137:0.907967:0.610182:0.907967:0.000000
0 1 2 3 4 5 6 7:@0.607482:0.911322:0.718106:0.911322:0.718106:0.901323:0.607482:0.901323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.605315:0.894589:0.611031:0.894589:0.611031:0.884590:0.605315:0.884590:0.000000
2:@0.604296:0.884016:0.610012:0.884016:0.610012:0.874017:0.604296:0.874017:0.000000
3:@0.603816:0.872879:0.609532:0.872879:0.609532:0.862880:0.603816:0.862880:0.000000
4:@0.603816:0.861415:0.609532:0.861415:0.609532:0.851416:0.603816:0.851416:0.000000
5:@0.604964:0.849942:0.610680:0.849942:0.610680:0.839943:0.604964:0.839943:0.000000
6:@0.604366:0.838125:0.610082:0.838125:0.610082:0.828126:0.604366:0.828126:0.000000
7:@0.604507:0.828003:0.610223:0.828003:0.610223:0.818004:0.604507:0.818004:0.000000
x :@0.348209:0.353764:0.358904:0.353764:0.358904:0.338328:0.348209:0.338328:0.000000:0.000000
si :@0.386697:0.353764:0.401294:0.353764:0.401294:0.338051:0.386697:0.338051:0.000000:0.000000:0.000000
x :@0.401202:0.353764:0.411897:0.353764:0.411897:0.338328:0.401202:0.338328:0.000000:0.000000
$ :@0.411841:0.353209:0.431684:0.353209:0.431684:0.339493:0.411841:0.339493:0.000000:0.000000
0:@0.431592:0.353764:0.440575:0.353764:0.440575:0.338051:0.431592:0.338051:0.000000
2:@0.348208:0.369851:0.363541:0.369851:0.363541:0.356135:0.348208:0.356135:0.000000
x :@0.363450:0.370406:0.374145:0.370406:0.374145:0.354970:0.363450:0.354970:0.000000:0.000000
si:@0.386697:0.370406:0.397336:0.370406:0.397336:0.354693:0.386697:0.354693:0.000000:0.000000
 x :@0.397244:0.370406:0.411179:0.370406:0.411179:0.354970:0.397244:0.354970:0.000000:0.000000:0.000000
, :@0.411124:0.369851:0.430967:0.369851:0.430967:0.356135:0.411124:0.356135:0.000000:0.000000
0:@0.430874:0.370406:0.439857:0.370406:0.439857:0.354693:0.430874:0.354693:0.000000
Tema 3. Función valor absoluto: ecuaciones e :@0.073089:0.084969:0.544282:0.084969:0.544282:0.063100:0.073089:0.063100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inecuaciones de primer grado con valor absoluto:@0.073089:0.102620:0.579843:0.102620:0.579843:0.080751:0.073089:0.080751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve la siguiente ecuación de valor absoluto::@0.293660:0.162647:0.648246:0.162647:0.648246:0.146935:0.293660:0.146935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.357853:0.183446:0.360927:0.183446:0.360927:0.165792:0.357853:0.165792:0.000000
x:@0.360835:0.182863:0.368290:0.182863:0.368290:0.167428:0.360835:0.167428:0.000000
2 5:@0.368216:0.182309:0.410682:0.182309:0.410682:0.168593:0.368216:0.168593:0.000000:0.000000:0.000000
3 5:@0.383457:0.182863:0.419572:0.182863:0.419572:0.167151:0.383457:0.167151:0.000000:0.000000:0.000000
U:@0.392367:0.183446:0.395441:0.183446:0.395441:0.165792:0.392367:0.165792:0.000000
 :@0.293660:0.203080:0.297691:0.203080:0.297691:0.187367:0.293660:0.187367:0.000000
¿Qué valores puede tomar   para que se cumpla esta ecuación?:@0.353907:0.203080:0.814733:0.203080:0.814733:0.187367:0.353907:0.187367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.549503:0.203080:0.556957:0.203080:0.556957:0.187644:0.549503:0.187644:0.000000
DBA 2 (Ev. 2) Argumenta de diversa maneras la necesidad de establecer relaciones y características en conjuntos de números.:@0.256096:0.971366:0.914923:0.971366:0.914923:0.959939:0.256096:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.140138:0.425244:0.140138:0.425244:0.124732:0.302768:0.124732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.084437:0.807171:0.224824:0.804401:0.224327:0.790121:0.083941:0.792891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología::@0.084963:0.822295:0.161270:0.820789:0.160774:0.806510:0.084467:0.808015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.085462:0.836637:0.096619:0.836417:0.096212:0.824696:0.085054:0.824916:0.000000
1:@0.096361:0.831396:0.104485:0.831235:0.104232:0.823969:0.096108:0.824129:0.000000
: enteros positivos:@0.104638:0.837042:0.222921:0.834708:0.222425:0.820428:0.104141:0.822762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.086010:0.852543:0.097536:0.852316:0.097009:0.837167:0.085483:0.837394:0.000000
1:@0.097267:0.846512:0.105391:0.846352:0.105139:0.839085:0.097015:0.839245:0.000000
: racionales positivos:@0.105544:0.852158:0.240333:0.849498:0.239837:0.835219:0.105048:0.837879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.086521:0.866885:0.098599:0.866647:0.098191:0.854926:0.086113:0.855165:0.000000
1:@0.098332:0.861625:0.106456:0.861464:0.106203:0.854197:0.098080:0.854358:0.000000
: reales positivos:@0.106609:0.867271:0.213172:0.865168:0.212676:0.850889:0.106112:0.852991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.087034:0.882009:0.098191:0.881789:0.097784:0.870068:0.086626:0.870288:0.000000
1:@0.097938:0.876767:0.106062:0.876607:0.105809:0.869340:0.097685:0.869501:0.000000
 :@0.106215:0.882412:0.109761:0.882342:0.109234:0.867193:0.105688:0.867263:0.000000
, :@0.109690:0.882217:0.127723:0.881862:0.127279:0.869095:0.109246:0.869450:0.000000:0.000000
Q:@0.127616:0.881208:0.141551:0.880933:0.141143:0.869212:0.127209:0.869487:0.000000
1:@0.141288:0.875911:0.149412:0.875751:0.149159:0.868484:0.141036:0.868644:0.000000
   :@0.149566:0.881557:0.170442:0.881145:0.169916:0.865996:0.149039:0.866408:0.000000:0.000000:0.000000
,:@0.153041:0.881363:0.166975:0.881088:0.166531:0.868321:0.152597:0.868596:0.000000
R:@0.170348:0.880365:0.182426:0.880127:0.182019:0.868406:0.169941:0.868644:0.000000
1:@0.182159:0.875106:0.190283:0.874945:0.190030:0.867679:0.181907:0.867839:0.000000
Simbología :@0.081322:0.773492:0.166611:0.773492:0.166611:0.758086:0.081322:0.758086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.081322:0.788621:0.165581:0.788621:0.165581:0.773215:0.081322:0.773215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina que estás :@0.087319:0.307473:0.210783:0.307473:0.210783:0.293189:0.087319:0.293189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
midiendo la distancia :@0.087319:0.322602:0.232151:0.322602:0.232151:0.308318:0.087319:0.308318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre dos casas en una :@0.087319:0.337731:0.241282:0.337731:0.241282:0.323447:0.087319:0.323447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calle. Si una casa está :@0.087319:0.352860:0.229920:0.352860:0.229920:0.338576:0.087319:0.338576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el punto 7 y la otra :@0.087319:0.367989:0.234587:0.367989:0.234587:0.353705:0.087319:0.353705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el punto 3 (en una :@0.087319:0.383118:0.232842:0.383118:0.232842:0.368833:0.087319:0.368833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea recta), la distancia :@0.087319:0.398247:0.242931:0.398247:0.242931:0.383962:0.087319:0.383962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es  7 − 3:@0.087319:0.414888:0.141470:0.414888:0.141470:0.400604:0.087319:0.400604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.105121:0.415786:0.108195:0.415786:0.108195:0.398132:0.105121:0.398132:0.000000
U :@0.141370:0.415786:0.148954:0.415786:0.148954:0.398132:0.141370:0.398132:0.000000:0.000000
5 :@0.148862:0.414384:0.166901:0.414384:0.166901:0.401915:0.148862:0.401915:0.000000:0.000000
4 unidades, :@0.166817:0.414888:0.245878:0.414888:0.245878:0.400604:0.166817:0.400604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independientemente :@0.087315:0.430017:0.232685:0.430017:0.232685:0.415733:0.087315:0.415733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de si vas de la casa en el :@0.087315:0.445146:0.249330:0.445146:0.249330:0.430862:0.087315:0.430862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto 7 a la del punto 3 :@0.087315:0.460275:0.249386:0.460275:0.249386:0.445991:0.087315:0.445991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o viceversa.:@0.087315:0.475404:0.163089:0.475404:0.163089:0.461120:0.087315:0.461120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.243005:0.230325:0.243005:0.230325:0.227599:0.078581:0.227599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor absoluto  :@0.078581:0.258134:0.179888:0.258134:0.179888:0.243850:0.078581:0.243850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y vida cotidiana:@0.078581:0.273263:0.181829:0.273263:0.181829:0.258978:0.078581:0.258978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000