A 55:@0.925269:0.967627:0.939026:0.966558:0.939026:0.950778:0.925269:0.951847:0.000000:0.000000:0.000000:0.000000
–10 –5:@0.134667:0.290318:0.189879:0.290318:0.189879:0.275136:0.134667:0.275136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.211883:0.290318:0.219601:0.290318:0.219601:0.275136:0.211883:0.275136:0.000000
5:@0.246240:0.290318:0.253958:0.290318:0.253958:0.275136:0.246240:0.275136:0.000000
10:@0.276730:0.290318:0.292166:0.290318:0.292166:0.275136:0.276730:0.275136:0.000000:0.000000
15:@0.311087:0.290318:0.326523:0.290318:0.326523:0.275136:0.311087:0.275136:0.000000:0.000000
20:@0.345444:0.290318:0.360880:0.290318:0.360880:0.275136:0.345444:0.275136:0.000000:0.000000
25:@0.379801:0.290318:0.395237:0.290318:0.395237:0.275136:0.379801:0.275136:0.000000:0.000000
30:@0.414158:0.290318:0.429595:0.290318:0.429595:0.275136:0.414158:0.275136:0.000000:0.000000
35:@0.448515:0.290318:0.463952:0.290318:0.463952:0.275136:0.448515:0.275136:0.000000:0.000000
40:@0.482873:0.290318:0.498309:0.290318:0.498309:0.275136:0.482873:0.275136:0.000000:0.000000
45:@0.517230:0.290318:0.532666:0.290318:0.532666:0.275136:0.517230:0.275136:0.000000:0.000000
50:@0.551587:0.290318:0.567023:0.290318:0.567023:0.275136:0.551587:0.275136:0.000000:0.000000
Posición  (km) :@0.294815:0.307944:0.391072:0.307944:0.391072:0.292763:0.294815:0.292763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.140440:0.216464:0.151294:0.216464:0.151294:0.201283:0.140440:0.201283:0.000000
t = 10 :@0.125404:0.227840:0.167828:0.227840:0.167828:0.212659:0.125404:0.212659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.449880:0.216464:0.459131:0.216464:0.459131:0.201283:0.449880:0.201283:0.000000
t = 5 :@0.437893:0.227840:0.472599:0.227840:0.472599:0.212659:0.437893:0.212659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.311510:0.216464:0.320221:0.216464:0.320221:0.201283:0.311510:0.201283:0.000000
t = 3 :@0.299262:0.227840:0.333968:0.227840:0.333968:0.212659:0.299262:0.212659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.553998:0.216464:0.564451:0.216464:0.564451:0.201283:0.553998:0.201283:0.000000
t = 0 :@0.542619:0.227840:0.577325:0.227840:0.577325:0.212659:0.542619:0.212659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos la distancia, el desplazamiento, la velocidad media y la :@0.108212:0.083721:0.599898:0.083721:0.599898:0.067223:0.108212:0.067223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rapidez media, a través de este ejemplo::@0.108212:0.101071:0.389250:0.101071:0.389250:0.084574:0.108212:0.084574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.108212:0.136235:0.171053:0.136235:0.171053:0.119290:0.108212:0.119290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un ciclista pasea por la ciclovía, desde A hasta B, regresa hasta C y da :@0.108212:0.170474:0.599988:0.170474:0.599988:0.153977:0.108212:0.153977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la vuelta hasta alcanzar el punto D, como indica la Figura 2.4.:@0.108212:0.187825:0.537245:0.187825:0.537245:0.171327:0.108212:0.171327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema de referencia:@0.108212:0.626336:0.271290:0.626336:0.271290:0.609391:0.108212:0.609391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En física se utiliza el :@0.108212:0.643224:0.252986:0.643224:0.252986:0.626727:0.108212:0.626727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sistema:@0.253815:0.643687:0.311647:0.643687:0.311647:0.626741:0.253815:0.626741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 formado por los ejes perpendiculares y :@0.311672:0.643224:0.599875:0.643224:0.599875:0.626727:0.311672:0.626727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las coordenadas cartesianas.:@0.108212:0.660575:0.306526:0.660575:0.306526:0.644078:0.108212:0.644078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escala de referencia:@0.108212:0.695739:0.258650:0.695739:0.258650:0.678794:0.108212:0.678794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La escala nos ayuda a establecer la distancia en proporción sobre qué :@0.108212:0.712628:0.599854:0.712628:0.599854:0.696130:0.108212:0.696130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan lejos o cerca está un objeto de estudio, respecto al sistema de :@0.108212:0.729978:0.599894:0.729978:0.599894:0.713481:0.108212:0.713481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
referencia. :@0.108212:0.747329:0.184059:0.747329:0.184059:0.730831:0.108212:0.730831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Unidades fundamentales del SI:@0.108212:0.782493:0.345787:0.782493:0.345787:0.765547:0.108212:0.765547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.108212:0.799844:0.171053:0.799844:0.171053:0.782898:0.108212:0.782898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una persona se desplaza 6 km en su bicicleta en 2 h al N30°E y 8 km al :@0.108212:0.816732:0.599952:0.816732:0.599952:0.800234:0.108212:0.800234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este en 4 h. ¿Cuál es su desplazamiento y su velocidad media?:@0.108212:0.834083:0.542986:0.834083:0.542986:0.817585:0.108212:0.817585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Figura 2.4.:@0.118017:0.321162:0.169467:0.321162:0.169467:0.309686:0.118017:0.309686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tramo A – B:@0.186881:0.360891:0.274709:0.360891:0.274709:0.343945:0.186881:0.343945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distancia recorrida :@0.142493:0.375224:0.267733:0.375224:0.267733:0.360689:0.142493:0.360689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 35 km:@0.267733:0.375035:0.319095:0.375035:0.319095:0.360689:0.267733:0.360689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo empleado = 3 h:@0.155594:0.392386:0.305995:0.392386:0.305995:0.378040:0.155594:0.378040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tramo B – C :@0.436892:0.360891:0.527918:0.360891:0.527918:0.343945:0.436892:0.343945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distancia recorrida = 20 km:@0.394964:0.375035:0.565820:0.375035:0.565820:0.360689:0.394964:0.360689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo empleado = 2 h :@0.405199:0.392386:0.559203:0.392386:0.559203:0.378040:0.405199:0.378040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tramo C – D:@0.685343:0.362023:0.774636:0.362023:0.774636:0.345077:0.685343:0.345077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distancia recorrida = 45 km:@0.644561:0.376167:0.815417:0.376167:0.815417:0.361821:0.644561:0.361821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo empleado = 5 h:@0.654797:0.391254:0.805198:0.391254:0.805198:0.376909:0.654797:0.376909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Velocidad media:@0.299334:0.505434:0.404495:0.505434:0.404495:0.490698:0.299334:0.490698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desplazamiento :@0.108068:0.525060:0.209272:0.525060:0.209272:0.510526:0.108068:0.510526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.219734:0.514445:0.227632:0.514445:0.227632:0.496936:0.219734:0.496936:0.000000
d:@0.218372:0.525745:0.227542:0.525745:0.227542:0.509276:0.218372:0.509276:0.000000
( ):@0.210466:0.528861:0.235916:0.528861:0.235916:0.503813:0.210466:0.503813:0.000000:0.000000:0.000000
 :@0.237424:0.525060:0.240834:0.525060:0.240834:0.510526:0.237424:0.510526:0.000000
= posición final – posición inicial = –10 km – 50 km= – 60 km:@0.240673:0.524872:0.592682:0.524872:0.592682:0.510526:0.240673:0.510526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Duración del movimiento = 10 h:@0.256562:0.547088:0.447280:0.547088:0.447280:0.532742:0.256562:0.532742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.252205:0.572750:0.259551:0.572750:0.259551:0.556466:0.252205:0.556466:0.000000
v:@0.251327:0.580442:0.258565:0.580442:0.258565:0.565126:0.251327:0.565126:0.000000
m:@0.258874:0.582464:0.266838:0.582464:0.266838:0.573599:0.258874:0.573599:0.000000
=:@0.270071:0.580311:0.284010:0.580311:0.284010:0.564134:0.270071:0.564134:0.000000
!:@0.292662:0.561569:0.300008:0.561569:0.300008:0.545285:0.292662:0.545285:0.000000
d:@0.291397:0.572078:0.299925:0.572078:0.299925:0.556762:0.291397:0.556762:0.000000
t:@0.292955:0.590860:0.298222:0.590860:0.298222:0.575544:0.292955:0.575544:0.000000
=:@0.307610:0.580311:0.321549:0.580311:0.321549:0.564134:0.307610:0.564134:0.000000
−:@0.327820:0.571947:0.341759:0.571947:0.341759:0.555770:0.327820:0.555770:0.000000
60:@0.341598:0.571920:0.356827:0.571920:0.356827:0.556631:0.341598:0.556631:0.000000:0.000000
!:@0.358633:0.561569:0.365979:0.561569:0.365979:0.545285:0.358633:0.545285:0.000000
i:@0.359948:0.572078:0.363477:0.572078:0.363477:0.556762:0.359948:0.556762:0.000000
10:@0.335069:0.590698:0.350298:0.590698:0.350298:0.575409:0.335069:0.575409:0.000000:0.000000
h:@0.351051:0.590860:0.359794:0.590860:0.359794:0.575544:0.351051:0.575544:0.000000
=:@0.373579:0.580311:0.387518:0.580311:0.387518:0.564134:0.373579:0.564134:0.000000
−:@0.392374:0.580311:0.406313:0.580311:0.406313:0.564134:0.392374:0.564134:0.000000
6:@0.407281:0.580284:0.415056:0.580284:0.415056:0.564995:0.407281:0.564995:0.000000
!:@0.416862:0.569936:0.424208:0.569936:0.424208:0.553652:0.416862:0.553652:0.000000
i:@0.418178:0.580445:0.421707:0.580445:0.421707:0.565129:0.418178:0.565129:0.000000
km:@0.428981:0.572081:0.450195:0.572081:0.450195:0.556765:0.428981:0.556765:0.000000:0.000000
h:@0.435119:0.590860:0.443863:0.590860:0.443863:0.575544:0.435119:0.575544:0.000000
Distancia completa:@0.131006:0.449259:0.249645:0.449259:0.249645:0.434724:0.131006:0.434724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (d) = 100 km:@0.249312:0.449070:0.332035:0.449070:0.332035:0.434724:0.249312:0.434724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo total (t) = 10 h:@0.131006:0.464158:0.271205:0.464158:0.271205:0.449812:0.131006:0.449812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rapidez media:@0.418853:0.436397:0.529664:0.436397:0.529664:0.419451:0.418853:0.419451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.400301:0.462849:0.407306:0.462849:0.407306:0.448027:0.400301:0.448027:0.000000
m:@0.407840:0.464802:0.415547:0.464802:0.415547:0.456223:0.407840:0.456223:0.000000
=:@0.418677:0.462719:0.432166:0.462719:0.432166:0.447064:0.418677:0.447064:0.000000
d:@0.439310:0.454755:0.447563:0.454755:0.447563:0.439933:0.439310:0.439933:0.000000
t:@0.440539:0.472928:0.445636:0.472928:0.445636:0.458106:0.440539:0.458106:0.000000
=:@0.454485:0.462719:0.467975:0.462719:0.467975:0.447064:0.454485:0.447064:0.000000
100:@0.474043:0.454599:0.495994:0.454599:0.495994:0.439803:0.474043:0.439803:0.000000:0.000000:0.000000
10:@0.477618:0.472771:0.492356:0.472771:0.492356:0.457976:0.477618:0.457976:0.000000:0.000000
=:@0.502920:0.462719:0.516409:0.462719:0.516409:0.447064:0.502920:0.447064:0.000000
10:@0.521108:0.462693:0.535846:0.462693:0.535846:0.447897:0.521108:0.447897:0.000000:0.000000
km:@0.542122:0.454755:0.562651:0.454755:0.562651:0.439933:0.542122:0.439933:0.000000:0.000000
h:@0.548057:0.472928:0.556518:0.472928:0.556518:0.458106:0.548057:0.458106:0.000000
Shutterstock, 1373279624:@0.871286:0.670691:0.871286:0.599191:0.859818:0.599191:0.859818:0.670691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d 6 km sen 30 i:@0.112314:0.861938:0.237751:0.861938:0.237751:0.846157:0.112314:0.846157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.113257:0.850441:0.120812:0.850441:0.120812:0.833692:0.113257:0.833692:0.000000
=:@0.124826:0.862463:0.134943:0.862463:0.134943:0.844442:0.124826:0.844442:0.000000
⋅:@0.176332:0.862463:0.180938:0.862463:0.180938:0.844442:0.176332:0.844442:0.000000
° +:@0.227302:0.862463:0.249906:0.862463:0.249906:0.844442:0.227302:0.844442:0.000000:0.000000:0.000000
!:@0.232199:0.850441:0.239754:0.850441:0.239754:0.833692:0.232199:0.833692:0.000000
6 km cos 30 j 8 kmi:@0.136337:0.885947:0.292622:0.885947:0.292622:0.870167:0.136337:0.870167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.174187:0.886473:0.178794:0.886473:0.178794:0.868452:0.174187:0.868452:0.000000
°:@0.226466:0.886473:0.233837:0.886473:0.233837:0.868452:0.226466:0.868452:0.000000
!:@0.232124:0.874454:0.239679:0.874454:0.239679:0.857706:0.232124:0.857706:0.000000
+:@0.240453:0.886473:0.250570:0.886473:0.250570:0.868452:0.240453:0.868452:0.000000
!:@0.287038:0.874454:0.294593:0.874454:0.294593:0.857706:0.287038:0.857706:0.000000
d:@0.112289:0.911063:0.121558:0.911063:0.121558:0.895283:0.112289:0.895283:0.000000
!:@0.113229:0.899570:0.120784:0.899570:0.120784:0.882821:0.113229:0.882821:0.000000
=:@0.124801:0.911588:0.134918:0.911588:0.134918:0.893568:0.124801:0.893568:0.000000
11 i 5,2 j km:@0.143745:0.911063:0.244144:0.911050:0.244144:0.895270:0.143745:0.895283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.162946:0.899570:0.170502:0.899570:0.170502:0.882821:0.162946:0.882821:0.000000
+:@0.170539:0.911588:0.180655:0.911588:0.180655:0.893568:0.170539:0.893568:0.000000
!:@0.209163:0.899570:0.216718:0.899570:0.216718:0.882821:0.209163:0.882821:0.000000
(:@0.137706:0.916898:0.143842:0.916898:0.143842:0.884821:0.137706:0.884821:0.000000
):@0.216023:0.916898:0.222159:0.916898:0.222159:0.884821:0.216023:0.884821:0.000000
v:@0.112681:0.951206:0.120384:0.951206:0.120384:0.935426:0.112681:0.935426:0.000000
!:@0.112847:0.939713:0.120402:0.939713:0.120402:0.922964:0.112847:0.922964:0.000000
m:@0.121372:0.950784:0.129627:0.950784:0.129627:0.941638:0.121372:0.941638:0.000000
=:@0.134092:0.951731:0.144209:0.951731:0.144209:0.933711:0.134092:0.933711:0.000000
d:@0.148853:0.942327:0.158122:0.942327:0.158122:0.926546:0.148853:0.926546:0.000000
!:@0.149792:0.930834:0.157348:0.930834:0.157348:0.914085:0.149792:0.914085:0.000000
t:@0.150364:0.961662:0.156334:0.961662:0.156334:0.945881:0.150364:0.945881:0.000000
=:@0.162821:0.951731:0.172938:0.951731:0.172938:0.933711:0.162821:0.933711:0.000000
11 i 5,2 j km:@0.183239:0.939298:0.283617:0.939301:0.283617:0.923520:0.183239:0.923518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.202440:0.927805:0.209995:0.927805:0.209995:0.911057:0.202440:0.911057:0.000000
+:@0.210032:0.939824:0.220149:0.939824:0.220149:0.921803:0.210032:0.921803:0.000000
!:@0.248657:0.927805:0.256212:0.927805:0.256212:0.911057:0.248657:0.911057:0.000000
(:@0.177178:0.945148:0.183314:0.945148:0.183314:0.913071:0.177178:0.913071:0.000000
):@0.255495:0.945148:0.261631:0.945148:0.261631:0.913071:0.255495:0.913071:0.000000
2 h 4 h:@0.199016:0.961651:0.262149:0.961651:0.262149:0.945870:0.199016:0.945870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.225017:0.962176:0.235134:0.962176:0.235134:0.944155:0.225017:0.944155:0.000000
v:@0.112664:0.986753:0.120367:0.986753:0.120367:0.970972:0.112664:0.970972:0.000000
!:@0.112830:0.975260:0.120385:0.975260:0.120385:0.958511:0.112830:0.958511:0.000000
m:@0.121372:0.986342:0.129627:0.986342:0.129627:0.977197:0.121372:0.977197:0.000000
=:@0.134092:0.987289:0.144209:0.987289:0.144209:0.969269:0.134092:0.969269:0.000000
1,83 i 0,87 j km/h:@0.153036:0.986764:0.293886:0.986764:0.293886:0.970984:0.153036:0.970984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.184915:0.975271:0.192471:0.975271:0.192471:0.958522:0.184915:0.958522:0.000000
+:@0.192508:0.987289:0.202624:0.987289:0.202624:0.969269:0.192508:0.969269:0.000000
!:@0.240346:0.975271:0.247901:0.975271:0.247901:0.958522:0.240346:0.958522:0.000000
(:@0.146971:0.992611:0.153108:0.992611:0.153108:0.960534:0.146971:0.960534:0.000000
):@0.247162:0.992611:0.253299:0.992611:0.253299:0.960534:0.247162:0.960534:0.000000
d 6 km sen 30 i:@0.371792:0.786500:0.497229:0.786500:0.497229:0.770719:0.371792:0.770719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.372732:0.775007:0.380287:0.775007:0.380287:0.758258:0.372732:0.758258:0.000000
=:@0.384304:0.787025:0.394421:0.787025:0.394421:0.769004:0.384304:0.769004:0.000000
⋅:@0.435809:0.787025:0.440416:0.787025:0.440416:0.769004:0.435809:0.769004:0.000000
° +:@0.486780:0.787025:0.509354:0.787025:0.509354:0.769004:0.486780:0.769004:0.000000:0.000000:0.000000
!:@0.491645:0.775007:0.499200:0.775007:0.499200:0.758258:0.491645:0.758258:0.000000
6 km cos 30 j 8 kmi:@0.395785:0.810509:0.552069:0.810509:0.552069:0.794729:0.395785:0.794729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.433635:0.811035:0.438242:0.811035:0.438242:0.793014:0.433635:0.793014:0.000000
°:@0.485914:0.811035:0.493285:0.811035:0.493285:0.793014:0.485914:0.793014:0.000000
!:@0.491571:0.799016:0.499127:0.799016:0.499127:0.782268:0.491571:0.782268:0.000000
+:@0.499901:0.811035:0.510018:0.811035:0.510018:0.793014:0.499901:0.793014:0.000000
!:@0.546486:0.799016:0.554041:0.799016:0.554041:0.782268:0.546486:0.782268:0.000000
d:@0.371737:0.835625:0.381006:0.835625:0.381006:0.819844:0.371737:0.819844:0.000000
!:@0.372676:0.824132:0.380232:0.824132:0.380232:0.807383:0.372676:0.807383:0.000000
=:@0.384249:0.836150:0.394366:0.836150:0.394366:0.818130:0.384249:0.818130:0.000000
11 i 5,2 j km:@0.403193:0.835625:0.503621:0.835612:0.503621:0.819832:0.403193:0.819844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.422394:0.824132:0.429949:0.824132:0.429949:0.807383:0.422394:0.807383:0.000000
+:@0.429986:0.836150:0.440103:0.836150:0.440103:0.818130:0.429986:0.818130:0.000000
!:@0.468611:0.824132:0.476166:0.824132:0.476166:0.807383:0.468611:0.807383:0.000000
(:@0.397182:0.841460:0.403318:0.841460:0.403318:0.809383:0.397182:0.809383:0.000000
):@0.475499:0.841460:0.481636:0.841460:0.481636:0.809383:0.475499:0.809383:0.000000
v:@0.372159:0.875768:0.379861:0.875768:0.379861:0.859988:0.372159:0.859988:0.000000
!:@0.372325:0.864275:0.379880:0.864275:0.379880:0.847526:0.372325:0.847526:0.000000
m:@0.380848:0.875346:0.389104:0.875346:0.389104:0.866201:0.380848:0.866201:0.000000
=:@0.393570:0.876294:0.403687:0.876294:0.403687:0.858273:0.393570:0.858273:0.000000
d:@0.408330:0.866889:0.417600:0.866889:0.417600:0.851109:0.408330:0.851109:0.000000
!:@0.409275:0.855392:0.416831:0.855392:0.416831:0.838644:0.409275:0.838644:0.000000
t:@0.409852:0.886219:0.415822:0.886219:0.415822:0.870438:0.409852:0.870438:0.000000
=:@0.422310:0.876294:0.432427:0.876294:0.432427:0.858273:0.422310:0.858273:0.000000
11 i 5,2 j km:@0.442728:0.863860:0.543095:0.863863:0.543095:0.848082:0.442728:0.848080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.461941:0.852367:0.469497:0.852367:0.469497:0.835619:0.461941:0.835619:0.000000
+:@0.469532:0.864388:0.479649:0.864388:0.479649:0.846367:0.469532:0.846367:0.000000
!:@0.508166:0.852367:0.515722:0.852367:0.515722:0.835619:0.508166:0.835619:0.000000
(:@0.436655:0.869710:0.442792:0.869710:0.442792:0.837633:0.436655:0.837633:0.000000
):@0.514973:0.869710:0.521109:0.869710:0.521109:0.837633:0.514973:0.837633:0.000000
2 h 4 h:@0.458494:0.886212:0.521627:0.886212:0.521627:0.870432:0.458494:0.870432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.484495:0.886738:0.494612:0.886738:0.494612:0.868717:0.484495:0.868717:0.000000
v:@0.372159:0.911326:0.379861:0.911326:0.379861:0.895545:0.372159:0.895545:0.000000
!:@0.372325:0.899833:0.379880:0.899833:0.379880:0.883084:0.372325:0.883084:0.000000
m:@0.380848:0.910904:0.389104:0.910904:0.389104:0.901759:0.380848:0.901759:0.000000
=:@0.393570:0.911851:0.403687:0.911851:0.403687:0.893830:0.393570:0.893830:0.000000
1,83 i 0,87 j km/h:@0.412514:0.911326:0.553364:0.911326:0.553364:0.895545:0.412514:0.895545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.444393:0.899833:0.451949:0.899833:0.451949:0.883084:0.444393:0.883084:0.000000
+:@0.451986:0.911851:0.462102:0.911851:0.462102:0.893830:0.451986:0.893830:0.000000
!:@0.499824:0.899833:0.507379:0.899833:0.507379:0.883084:0.499824:0.883084:0.000000
(:@0.406449:0.917173:0.412586:0.917173:0.412586:0.885096:0.406449:0.885096:0.000000
):@0.506640:0.917173:0.512777:0.917173:0.512777:0.885096:0.506640:0.885096:0.000000
La media aritmética, :@0.681763:0.469977:0.816765:0.469977:0.816765:0.454914:0.681763:0.454914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muy empleada en física, es un :@0.639019:0.485819:0.836094:0.485819:0.836094:0.470756:0.639019:0.470756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
concepto que proviene de una :@0.639019:0.501661:0.842165:0.501661:0.842165:0.486598:0.639019:0.486598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rama de la matemática llamada :@0.639019:0.517503:0.845894:0.517503:0.845894:0.502440:0.639019:0.502440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estadística. Se la obtiene al :@0.639019:0.533345:0.814089:0.533345:0.814089:0.518282:0.639019:0.518282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumar un conjunto de valores  :@0.639019:0.549187:0.840318:0.549187:0.840318:0.534124:0.639019:0.534124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y dividir entre todos los  :@0.639019:0.565029:0.798911:0.565029:0.798911:0.549966:0.639019:0.549966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumandos.:@0.639019:0.580871:0.708887:0.580871:0.708887:0.565808:0.639019:0.565808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Con qué otro nombre se cono-:@0.639024:0.686760:0.847025:0.686760:0.847025:0.671697:0.639024:0.671697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ce a la media aritmética?:@0.639024:0.702602:0.797526:0.702602:0.797526:0.687539:0.639024:0.687539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.681249:0.431826:0.783520:0.431826:0.783520:0.415617:0.681249:0.415617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.681249:0.444398:0.769314:0.444398:0.769314:0.428189:0.681249:0.428189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.681249:0.741232:0.783520:0.741232:0.783520:0.725023:0.681249:0.725023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.681249:0.753803:0.769314:0.753803:0.769314:0.737594:0.681249:0.737594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Magnitud Unidad Símbolo:@0.647365:0.794235:0.844859:0.794235:0.844859:0.779499:0.647365:0.779499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Longitud:@0.651285:0.816602:0.707121:0.816602:0.707121:0.802256:0.651285:0.802256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metro:@0.732635:0.816602:0.770596:0.816602:0.770596:0.802256:0.732635:0.802256:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.811623:0.816602:0.824572:0.816602:0.824572:0.802256:0.811623:0.802256:0.000000
Masa:@0.662376:0.838881:0.696014:0.838881:0.696014:0.824535:0.662376:0.824535:0.000000:0.000000:0.000000:0.000000
kilogramo:@0.720339:0.838881:0.782874:0.838881:0.782874:0.824535:0.720339:0.824535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kg:@0.810852:0.838881:0.825326:0.838881:0.825326:0.824535:0.810852:0.824535:0.000000:0.000000
Tiempo:@0.654971:0.861739:0.703419:0.861739:0.703419:0.847393:0.654971:0.847393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo:@0.724895:0.861739:0.778317:0.861739:0.778317:0.847393:0.724895:0.847393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.815375:0.861739:0.820803:0.861739:0.820803:0.847393:0.815375:0.847393:0.000000
Medida es una rama de la Ma-:@0.643273:0.883521:0.841509:0.883521:0.841509:0.868458:0.643273:0.868458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temática que aporta en todas :@0.643273:0.899363:0.839171:0.899363:0.839171:0.884300:0.643273:0.884300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las ciencias.:@0.643273:0.915205:0.716606:0.915205:0.716606:0.900142:0.643273:0.900142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Nombra:@0.716606:0.915403:0.777078:0.915403:0.777078:0.900142:0.716606:0.900142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ejemplos :@0.777080:0.915205:0.843199:0.915205:0.843199:0.900142:0.777080:0.900142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en 10 ciencias distintas.:@0.643273:0.931047:0.793367:0.931047:0.793367:0.915984:0.643273:0.915984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000