as matemáticas no século xxi enrique macías usc melide 28/2/2007
TRANSCRIPT
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As matemáticas no século XXI
Enrique MacíasUSCMelide28/2/2007
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E. Macias. USC 228/2/2007
Números
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E. Macias. USC 328/2/2007
Móvil, CD, DVD, …
Telefonía celular Televisión dixital Compact Disc CD Digital Versatile Device DVD Compresión de imaxes JPG CPU
00111011101011110111111011111011
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E. Macias. USC 428/2/2007
6x3 = 18
I IO II IOO IOI IIO III IOOO IOOI
I+I=IO
IIO
*II
IIO
IIO_
IOOIO
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E. Macias. USC 528/2/2007
CRIPTOGRAFÍA
RSA Secure Sockets Layer (SSL capa de portos
seguros) Transport Layer Security (TSL) Protocolos de conexión TCP/IP WEP wired equivalent privacy
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E. Macias. USC 628/2/2007
Comunicacións seguras
ENIGMA Internet Banca, VeriSign
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E. Macias. USC 728/2/2007
Código de barras
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E. Macias. USC 828/2/2007
LETRA DO NIF [NIF.xls]
0 1 2 3 4 5 6 7 8 9
T R W A G M Y F P D
10 11 12 13 14 15 16 17 18 19 20 21 22
X B N J Z S Q V H L C K E
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E. Macias. USC 928/2/2007
Número Log
2^1 2 1
2^2 4 2
2^3 8 3
2^4 16 4
Logaritmos
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E. Macias. USC 1028/2/2007
1 0
2 1
3 1,585
4 2
5 2,322
6 2,585
7 2,807
8 3
9 3,170
10 3,322
11 3,459
12 3,585
13 3,700
14 3,807
15 3,907
16 4
17 4,087
18 4,170
19 4,248
Logs.
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E. Macias. USC 1128/2/2007
Sirius
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E. Macias. USC 1228/2/2007
Sirius
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E. Macias. USC 1328/2/2007
Magnitude dunha estrela
Sirius: 1 = 2^0 Magnitude = 0
Metade de brilo: 1/2=2^(-1)magnitud: 1
Oito veces máis brilante: 8= 2^3
magnitude -3
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E. Macias. USC 1428/2/2007
International Space Station
ISS a 250 millas de altura USA, Xapón, Rusia, Canadá, Brasil
e Europa 100m x 100m 500 toneladas
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E. Macias. USC 1528/2/2007
ISS International Space Station
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E. Macias. USC 1628/2/2007
ISS International Space Station
www.heavens-above.com
MELIDE Coordinates: 42.917 N -8.000 W Elevation: 405 m
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E. Macias. USC 1728/2/2007
Name Distance (km) Latitude Longitude ElevationCastro 1.4 42.917 -8.017 440 m Sancibrao 1.4 42.917 -8.017 440 m Furelos 1.9 42.900 -8.000 433 m Abeancos 2.3 42.933 -7.983 426 m Ángeles 2.3 42.933 -8.017 450 m Oleiros 3.3 42.933 -7.967 436 m Abeancos 3.3 42.900 -8.033 405 m Folladela 3.7 42.950 -8.000 450 m Vimianzo 3.7 42.883 -8.000 442 m Ordes 4.0 42.950 -7.983 527 m Barreiro 4.1 42.917 -8.050 456 m Zas de Rey 4.5 42.933 -8.050 474 m Meire 4.5 42.900 -7.950 657 m Mangüeiro 4.6 42.950 -7.967 532 m Gondollín 4.6 42.950 -8.033 501 m
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E. Macias. USC 1828/2/2007
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E. Macias. USC 1928/2/2007
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E. Macias. USC 2028/2/2007
O ceo sobre Melide
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E. Macias. USC 2128/2/2007
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E. Macias. USC 2228/2/2007
¿Pero, en qué Universo vivimos?
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E. Macias. USC 2328/2/2007
Conxectura de Henri Poincaré
Resolta por Grigori Perelmann
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E. Macias. USC 2428/2/2007
Unha esfera salvaxe
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E. Macias. USC 2528/2/2007
Teoría da relatividade
Mecánica cuántica
Teoría de cordas
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E. Macias. USC 2628/2/2007
Departamento de Xeometría e Topoloxía
A forza da gravedade é a curvatura do espazo-tempo
Efecto lente provocado polo paso da luz cerca dun obxecto masivo
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E. Macias. USC 2728/2/2007
Curvas
Portas Pontes Órbitas de satélites Catenaria Tren de alta velocidade
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E. Macias. USC 2828/2/2007
Órbitas:
Cónicaselipse, parábola, hipérbola
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E. Macias. USC 2928/2/2007
Catenaria
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E. Macias. USC 3028/2/2007
Gaudí:
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E. Macias. USC 3128/2/2007
Deseño earquitectura
Federal Reserve Bank of MinneapolisArchitect:Gunnar Birkerts &Associates
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E. Macias. USC 3228/2/2007
Deseño
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E. Macias. USC 3328/2/2007
Canon de beleza
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E. Macias. USC 3428/2/2007
Catenaria
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E. Macias. USC 3528/2/2007
Clotoide
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E. Macias. USC 3628/2/2007
Fractuais
Departamento de Análise Matemática
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E. Macias. USC 3728/2/2007
Fractuais
Departamento de Análise Matemática
Métodos JPEG, wavelets, multifractal de compresión de imaxes
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E. Macias. USC 3828/2/2007
Procesos deterministas
Morte do Sol Evolución dun
ecosistema
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E. Macias. USC 3928/2/2007
Procesos caóticos
Inestabilidade Predicción do tempo Fractuais Efectos especiais no
cine Compresión de
imaxes
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E. Macias. USC 4028/2/2007
Minería de datos Navegación marítima e espacial Física de partículas Scanner e TAC
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E. Macias. USC 4128/2/2007
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E. Macias. USC 4228/2/2007
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E. Macias. USC 4328/2/2007
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E. Macias. USC 4428/2/2007
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E. Macias. USC 4528/2/2007
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E. Macias. USC 4628/2/2007
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E. Macias. USC 4728/2/2007
LONXITUDE E LATITUDE
42º 55’ norte, 8º 00’ oeste
X: 586220.92 Y: 4754959.76
Coordenadas UTM (Mercator)
60 zonas UTM de la Tierra.Cada zona UTM ten como bordes dous meridianos separados 6°.Os límites Norte-Sur dunha zona UTM son as latitudes 84° N 80° S.
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E. Macias. USC 4828/2/2007
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E. Macias. USC 4928/2/2007
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E. Macias. USC 5028/2/2007
GPS GLOBAL POSITION SYSTEM
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E. Macias. USC 5128/2/2007
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E. Macias. USC 5228/2/2007
Modelos matemáticos
Contaminación nas rías Mecánica de sólidos Morte del Sol
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E. Macias. USC 5328/2/2007Simulación numérica na USC
ESTUDIO DO MEDIO AMBIENTE
Problema da eliminación de augas residuais
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E. Macias. USC 5428/2/2007
Localiza-los puntos b1, b2 nos que deben realizarse as descargas para que a polución nas praias A1 e A2 sexa mínima .
PROBLEMA: Ubicación dos emisarios submarinos
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E. Macias. USC 5528/2/2007
Métodos numéricos
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E. Macias. USC 5628/2/2007
Departamento de Estatística e Investigación Operativa
Problema real:Predicción da concentración de SO2
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E. Macias. USC 5728/2/2007
Sala de control
Laboratorio
Parámetros meteorológicos
Control emisionesSO , NO , O , partículas,temperatura, caudal gases
2 x 2
17 estaciones automáticasSO , NO , O , partículas
parámetros meteorológicos2 x 3
Informes
Datos emisión-inmisión
Predicción de inmisión
XUNTA DE GALICIAConsellería de Industria
Departamento de Estatística e Investigación Operativa
O sistema de control
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E. Macias. USC 5828/2/2007
Departamento de Estatística e Investigación Operativa
Predicción
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E. Macias. USC 5928/2/2007
Optimizar solucións
Deseño dun avión
Simulación de tráfico
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E. Macias. USC 6028/2/2007
Toma de decisións
Estadísticas Evolución dunha
epidemia Decisións
estratéxicas Distribución de
recursos
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E. Macias. USC 6128/2/2007
Mecánica de sólidos
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E. Macias. USC 6228/2/2007
Modelo 3D dunha mandíbula humana: 24395 nodos122314 tetraedros
Semi-mandíbulacon dous dentes
Departamento de Matemática Aplicada
Facultade de Matemáticas
Grupo de Investigación: Modelos Matemáticos e Simulación Numérica en Mecánica de Sólidos
INVESTIGACIÓN BIOMÉDICA
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E. Macias. USC 6328/2/2007
Deformación (amplificada)Estado de tensións
Simulación numérica de esforzos nunha mordida
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E. Macias. USC 6428/2/2007
BIOMATEMÁTICA
Identificar xenes implicados en enfermidades humanas.
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E. Macias. USC 6528/2/2007
Predicción
Evolución da Bolsa
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E. Macias. USC 6628/2/2007
Biomatemática
Xenoma Microarrays TAC Tomografía
Axial Computerizada
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E. Macias. USC 6728/2/2007
Conclusión
A Matemática é unha Ciencia Non hai Ciencia sen Matemáticas No século XXI cada vez será máis
importante
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28/2/2007 E. Macias. USC 68
As matemáticas son As matemáticas son imprescindibeis para imprescindibeis para
entender o mundo realentender o mundo real
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E. Macias. USC 7028/2/2007
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E. Macias. USC 7128/2/2007
Conclusión
Álxebra Análise matemática Cálculo numérico Xeometría e Topoloxía Estadística e Investigación de
operacións Astronomía