Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 162]
Code Context
        $n = array_keys($lista,$lecture["Lecture"]["id"]);

        if($n[0]-1 == 0){
$playlist	=	array(
	"Playlist" => array(
	"id" => "22",
	"name" => "De qué sirven las mates",
	"slug" => "de-que-sirven-las-mates",
	"number" => "19",
	"description" => "Sección dedicada a la difusión de la necesidad de la matemática en diferentes situaciones de la vida.",
	"lateral" => "0",
	"image" => null,
	"index" => "1"
),
	"Lecture" => array(
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array()
),
	"Chapter" => array(
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array()
)
)
$video	=	array(
	"Video" => array(
	"id" => "779",
	"name" => "¿Por qué existe el año bisiesto? - 29 Feb",
	"youtube" => "5QWPAkEHQpE",
	"slug" => "por-que-existe-el-ano-bisiesto-29-feb",
	"date" => "2012-05-06 10:59:15",
	"mp4" => "",
	"flv" => "",
	"exercise" => "",
	"words" => "porqeu por que año existe hay ano bisiesto cada cuatro anos años leap year leaping 29 2012 asesoriasdematecom asesorias de matematicas asesoriasdematematicas mate math tutoring tutor tutorias jose andalon am mm calidad math2me m2m kukis maria gonzalez mgonzalez hd alta definición high definition quality"
),
	"Lecture" => array(
	array()
)
)
$params_p	=	array(
	"conditions" => array(
	"Playlist.lateral" => "1"
),
	"order" => array(
	"Playlist.number ASC"
)
)
$playlists	=	array(
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
)
)
$lecture	=	false
$id	=	"22"
$title	=	"¿Por qué existe el año bisiesto? - 29 Feb @ math2me.com"
$params_videos_s	=	array(
	"limit" => "4",
	"order" => "Lecture.id DESC",
	"conditions" => array(
	"Lecture.playlist_id" => "22"
)
)
$videos_s	=	array(
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
)
)
$params	=	array(
	"conditions" => array(
	"Chapter.playlist_id" => "22"
),
	"order" => array(
	"Chapter.number ASC"
)
)
$params1	=	array(
	"conditions" => array(
	"Lecture.playlist_id" => "22"
),
	"order" => array(
	"Lecture.number ASC"
)
)
$chapter	=	array(
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
),
	array(
	"Chapter" => array(),
	"Playlist" => array(),
	"Lecture" => array()
)
)
$videos	=	array(
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
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),
	array(
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),
	array(
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),
	array(
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),
	array(
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	array(
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	array(
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	array(
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	array(
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),
	array(
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	array(
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	array(
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	"Video" => array(),
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),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
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),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
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),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
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	"Level" => array(),
	"Video" => array(),
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),
	array(
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	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
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),
	array(
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	"Playlist" => array(),
	"Chapter" => array(),
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	"Level" => array(),
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),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
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),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
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	"Curriculum" => array(),
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),
	array(
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	"Playlist" => array(),
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	"Curriculum" => array(),
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	"Video" => array(),
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),
	array(
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	"Playlist" => array(),
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	"Video" => array(),
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),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
),
	array(
	"Lecture" => array(),
	"Playlist" => array(),
	"Chapter" => array(),
	"Curriculum" => array(),
	"Level" => array(),
	"Video" => array(),
	"Subject" => array()
)
)
$i	=	34
$c	=	array(
	"Chapter" => array(
	"id" => "348",
	"playlist_id" => "22",
	"name" => "En las ciencias sociales",
	"slug" => "en-las-ciencias-sociales",
	"number" => "11",
	"subject_id" => null,
	"curriculum_id" => null,
	"level_id" => null
),
	"Playlist" => array(
	"id" => "22",
	"name" => "De qué sirven las mates",
	"slug" => "de-que-sirven-las-mates",
	"number" => "19",
	"description" => "Sección dedicada a la difusión de la necesidad de la matemática en diferentes situaciones de la vida.",
	"lateral" => "0",
	"image" => null,
	"index" => "1"
),
	"Lecture" => array(
	array()
)
)
$v	=	array(
	"Lecture" => array(
	"id" => "2342",
	"level_id" => null,
	"curriculum_id" => null,
	"name" => "Para contribuir al desarrollo económico de un país, se necesitan matemáticas",
	"video_id" => "877",
	"number" => "9",
	"subject_id" => null,
	"chapter_id" => "341",
	"playlist_id" => "22",
	"nuevo" => "1",
	"relevant" => "0",
	"date" => "2013-03-30 23:48:17"
),
	"Playlist" => array(
	"id" => "22",
	"name" => "De qué sirven las mates",
	"slug" => "de-que-sirven-las-mates",
	"number" => "19",
	"description" => "Sección dedicada a la difusión de la necesidad de la matemática en diferentes situaciones de la vida.",
	"lateral" => "0",
	"image" => null,
	"index" => "1"
),
	"Chapter" => array(
	"id" => "341",
	"playlist_id" => "22",
	"name" => "En la ingeniería",
	"slug" => "en-la-ingenieria",
	"number" => "1",
	"subject_id" => null,
	"curriculum_id" => null,
	"level_id" => null
),
	"Curriculum" => array(
	"id" => null,
	"country" => null,
	"slug" => null
),
	"Level" => array(
	"id" => null,
	"name" => null,
	"curriculum_id" => null,
	"slug" => null,
	"number" => null
),
	"Video" => array(
	"id" => "877",
	"name" => "Para contribuir al desarrollo económico de un país, se necesitan matemáticas",
	"youtube" => "FelRmLJ7NXg",
	"slug" => "para-contribuir-al-desarrollo-economico-de-un-pais-se-necesitan-matematicas",
	"date" => "2013-04-13 13:32:54",
	"mp4" => "https://dl.dropboxusercontent.com/s/ndq5g3o0keybawf/Para%20contribuir%20al%20desarrollo%20econ%C3%B3mico%20de%20un%20pa%C3%ADs%2C%20se%20necesitan%20matem%C3%A1ticas.mp4?token_hash=AAFk-AqVRkilOS2vh-LW4IxKUzf_0Kmv2DyvzrX3tgKKmw&dl=1",
	"flv" => "",
	"exercise" => "",
	"words" => "fabian torres telnor tijuana de que me sirven las matematicas asesoriasdematecom asesorias asesoriasdematematicas mate math tutoring tutor tutorias jose andalon am mm calidad math2me m2m kukis maria gonzalez mgonzalez hd alta definición high definition quality"
),
	"Subject" => array(
	"id" => null,
	"name" => null,
	"level_id" => null,
	"curriculum_id" => null,
	"slug" => null,
	"number" => null
)
)
$lista	=	array(
	"2318",
	"2334",
	"2343",
	"2374",
	"2344",
	"2319",
	"2331",
	"2332",
	"2342",
	"2338",
	"2337",
	"2339",
	"2341",
	"2348",
	"2352",
	"2353",
	"2351",
	"2347",
	"2324",
	"2321",
	"2326",
	"2323",
	"2325",
	"2329",
	"2327",
	"2320",
	"2322",
	"2330",
	"2328",
	"2388",
	"2333",
	"2336",
	"2335"
)
$n	=	array()
PlaylistController::video() - APP/Controller/PlaylistController.php, line 162
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 165]
Code Context
            $anterior = null;
        }else{
            $anterior =$lista[$n[0]-1];
$playlist	=	array(
	"Playlist" => array(
	"id" => "22",
	"name" => "De qué sirven las mates",
	"slug" => "de-que-sirven-las-mates",
	"number" => "19",
	"description" => "Sección dedicada a la difusión de la necesidad de la matemática en diferentes situaciones de la vida.",
	"lateral" => "0",
	"image" => null,
	"index" => "1"
),
	"Lecture" => array(
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array()
),
	"Chapter" => array(
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array(),
	array()
)
)
$video	=	array(
	"Video" => array(
	"id" => "779",
	"name" => "¿Por qué existe el año bisiesto? - 29 Feb",
	"youtube" => "5QWPAkEHQpE",
	"slug" => "por-que-existe-el-ano-bisiesto-29-feb",
	"date" => "2012-05-06 10:59:15",
	"mp4" => "",
	"flv" => "",
	"exercise" => "",
	"words" => "porqeu por que año existe hay ano bisiesto cada cuatro anos años leap year leaping 29 2012 asesoriasdematecom asesorias de matematicas asesoriasdematematicas mate math tutoring tutor tutorias jose andalon am mm calidad math2me m2m kukis maria gonzalez mgonzalez hd alta definición high definition quality"
),
	"Lecture" => array(
	array()
)
)
$params_p	=	array(
	"conditions" => array(
	"Playlist.lateral" => "1"
),
	"order" => array(
	"Playlist.number ASC"
)
)
$playlists	=	array(
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
),
	array(
	"Playlist" => array(),
	"Lecture" => array(),
	"Chapter" => array()
)
)
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PlaylistController::video() - APP/Controller/PlaylistController.php, line 165
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  -1 [APP/Controller/PlaylistController.php, line 165]
Code Context
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PlaylistController::video() - APP/Controller/PlaylistController.php, line 165
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 167]
Code Context
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PlaylistController::video() - APP/Controller/PlaylistController.php, line 167
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

Notice (8): Undefined offset:  0 [APP/Controller/PlaylistController.php, line 170]
Code Context
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¿Por qué existe el año bisiesto? - 29 Feb [

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	"url" => "https://www.youtube.com/watch?v=kdOuUtiOO0U"
)
)
$p	=	array(
	"Playlist" => array(
	"id" => "29",
	"name" => "Chistes",
	"slug" => "chistes",
	"number" => "22",
	"description" => "",
	"lateral" => "1",
	"image" => null,
	"index" => "1"
),
	"Lecture" => array(
	array(),
	array(),
	array(),
	array(),
	array()
),
	"Chapter" => array(
	array(),
	array()
)
)
include - APP/View/Playlist/videon.ctp, line 60
View::_render() - CORE/Cake/View/View.php, line 598
View::render() - CORE/Cake/View/View.php, line 365
Controller::render() - CORE/Cake/Controller/Controller.php, line 899
PlaylistController::video() - APP/Controller/PlaylistController.php, line 190
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 473
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 107
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 89
[main] - APP/webroot/index.php, line 96

/33]

• 1. Teorema de Pitágoras en la construcción
• 2. Cálculo lógico en la elaboración de las tablas de verdad (Google)
• 3. Co-inventor del internet nos invita a contribuir a la red (Vint Cerf)
• 4. Apto o no apto para construir (pendiente de una recta)
• 5. Las matemáticas y las realidades virtuales (Dr. Jürgen - UCSD)
• 6. Volumen y conversiones en los servicios de suministro de agua potable
• 7. Internet = código binario
• 8. Prefijos en las Telecomunicaciones - Calit2 (mega, giga, teras....)
• 9. Para contribuir al desarrollo económico de un país, se necesitan matemáticas
• 10. Modelos matemáticos en procesos ópticos
• 11. El lenguaje de las ciencias son las matemáticas
• 12. La respiración y sus números en los ecosistemas terrestres (biología)
• 13. La importancia de las matemáticas para solucionar problemas relacionados con el mar
• 14. Las corrientes marinas y sus ecuaciones diferenciales
• 15. Niños y su pensamiento lógico (escuela de robótica)
• 16. Inventor = física + matemáticas (inglés con CC en español)
• 17. La educación es un proceso activo no pasivo
• 18. La calculadora que piensa, si tú piensas (QAMA)
• 19. La composición musical y las fracciones
• 20. La pintura artística: uso de las escalas y balances
• 21. Creación de letras de canciones utilizando matemáticas y excel
• 22. Pediatría y el uso de la regla de 3
• 23. Paramédicos y el uso de los porcentajes (cruz roja)
• 24. La evaluación Antropométrica (ciencia en el deporte)
• 25. Veterinario, regla de tres y el redondeo
• 26. Geometría y conversiones en la construcción de cocinas
• 27. La natación y el uso de las ecuaciones lineales
• 28. Metodología deportiva = serie de procesos programados (matemáticas)
• 29. Uso de las matemáticas en la contabilidad
• 30. Intervalos + gráficas = analizar fácil muchos datos
• 31. Conversiones de unidades en la cocina (Google Mx)
• 32. La estadística en la Psicología (hospital de salud mental)
• 33. El uso de la estadística en las ciencias sociales

---

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