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      "body": "Un saludo a la comunidad de Steemit, hoy les traigo Programación lógica en Prolog usando Grafos.\n\n![IMG-20180225-00006.jpg](https://steemitimages.com/DQmVsNiAViJHScR2DPeDam7dmjno3X6n7nEB4X4Fkz7mLie/IMG-20180225-00006.jpg) \n\nLos Grafos son un conjunto de vértices o nodos  conectados donde puedes buscar un camino y no solo un camino, hay grafos que encuentran el camino mas corto, el costo mínimo, etc .\nPor ejemplo el google map utiliza grafos para hallar el camino mas corto de un punto a otro.\n\nEste post Uniremos los Grafos con Prolog es un lenguaje de programación lógica  utilizado mucho en las Universidades\npara aprender paradigmas lógicos lo que es igual aprender sobre IA. 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Para después hacer preguntas lógicas como: “a” conoce un X que sabe dibujar\n\nCreamos dos  reglas para que nuestro Grafo sea dirigido en ambos sentidos.\n\n>conectados(X,Y):- amigos(X,Y).                 % “X” llego a “Y” \n>conectados(X,Y):- amigos(Y,X).                  % “Y” llego a “X” \n\nLa Regla “Posee” nos va a servir cuando un atributo esta apuntando por otro, ya X no tiene relación \ncon los atributos mas externos.\n\nEl primer “posee” es nuestra parada, sera cuando un Vértice o Atributo cumple el hecho “tiene”\n\n>posee(X,Atrib):-\n>\ttiene(X,Atrib).\n\nEl segundo “posee” es para tratar de hallar recursivamente los atributo mas externos\n\n>posee(X,Atrib):-\n>\ttiene(X,A2), \t\t% Buscara un Atributo “A2” de X, si no tiene se sale.\n>\tposee(A2,Atrib).        % Si “A2” cumple el 1re “posee” encontré el atributo, Sino se llamara a si mismo.\n\n<h4>Búsqueda En Profundidad (Depth-first search)</h4>\n\n>conoce(X,Y):-\n>\tcamino([X],Y).\t% Enviara una lista solo con X y nuestra parada es Y\n>\n>camino([Parada|_],Parada).\t% se detendrá cuando Parada sea la cabeza de la lista.\n>\n>camino([Act|Camino],Parada):-\n>\tconectados(Act,Sig),\t\t\t% Buscara un  “Act” que esta conectado con “Sig” , si no tiene se sale.\n>\t\\\\+ miembro(Sig,Camino),\t\t% “\\\\+” negado, Si no se sale\n>\tcamino([Sig,Act|Camino],Parada).\t% llamada recursiva pero ahora con “Sig” de cabeza.\n\nNota: Ira creando una lista dejando X en ultima posición, en la primera vuelta “Camino” esta vació. Y negado evitara repetir vértices en la lista para no caer en ciclos infinitos.\n\n<h4>Búsqueda En Profundidad  para caminos específicos (Depth-first search)</h4>\n\nFunciona de la misma manera que el anterior con la diferencia de que recibe  una lista con un camino y nuestra parada sera verificar que son iguales las listas, el problema es que la lista que se esta generando se genera al revés.\n\n>conoce(X,Y,L):-\n>\tcamino([X],Y,L).\n>\n>camino([Parada|C1],Parada,[L]):-\n>\tvolteada([Parada|C1],L).\n>camino([Act|Camino],Parada,Solucion):-\n>\tconectados(Act,Sig),\n>\t\\\\+ miembro(Sig,Camino),\n>\tcamino([Sig,Act|Camino],Parada,Solucion).\n\n>miembro(X,[X|_]).\t\t%  la parada sera cuando la X sea igual a la cabeza\n>miembro(X,[_|Y]):-\n>\tmiembro(X,Y).          %  Se llamara a si mismo pero sin el primer elemento.\n\n>volteada(L,LR):-\n>\tvolteada(L,[],LR).\n\n>volteada([],L2,L2).                 \t% la parada sera cuando la lista que se esta generando sea igual a “L2”\n>volteada([H|T],Acum,LR):-\n>\tvolteada(T,[H|Acum],LR).     % ira generando la lista al revés sacando la cabeza y guardándola \n\n<h4> Consultas en Prolog <h4>\n\nLlegado a este punto ya nuestro grafo esta listo y solo queda crear las ultimas reglas. \n\t\n>quiensabe(P1,P2,Accion):-\n>\tconoce(P1,P2),\t% si “P1” conoce a “P2”\n>\tpuede(P2,Accion).     % si “P2” Sabe “Accion”\n\n>quientiene(P1,P2,Cosa):- \n>\tconoce(P1,P2),\t% si “P1” conoce a “P2”\n>\tposee(P2,Cosa).\t% si “P1” tiene “Cosa”\n\n![amigos.png](https://steemitimages.com/DQmVSfJUTxoT4TNaQ115qq1KLQc2GKHpxESbguzJ4ijWBpc/amigos.png)\n![lista de caminos AaD.png](https://steemitimages.com/DQmcjD8tmMsnnmj5wW51qauymmXEQFRwyFtWAYswXRD6kTV/lista%20de%20caminos%20AaD.png)\n![puebas.png](https://steemitimages.com/DQmbQCz35epVUKV57zez2mCYkwjqWMmkonx45F7a9VUncvp/puebas.png)\n![quien sabe cantar.png](https://steemitimages.com/DQmX3qhu7aiB7hLkCsFfcj4S3vf2vcT9Q9ytVn3n3Utw9pa/quien%20sabe%20cantar.png)\n![quien tiene piscina.png](https://steemitimages.com/DQmezs8ENDd1X8pGMjL2CXN4XX1t4bUigE8KTAvDCwWw4Bq/quien%20tiene%20piscina.png)\n\nLos datos se repiten porque. hay varias formas de llegar a un mismo punto.\n\nEspero que les guste lo que hago, pronto estaré publicando Cosas interesantes que se pueden hacer  en Prolog.",
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      "title": "Como Graficar Funciones fácil y rápido con \"R\"",
      "body": "Hola en esta oportunidad les traigo un poco de Programación y Matemática.\n\nEn este semestre en la universidad estoy viendo una materia que se llama “Análisis Numérico”, en esta materia la profesora nos pidió aprender a usar un lenguaje de programación, aquí fue donde conocí el lenguaje de programación “R” es un lenguaje para el calculo estadístico.\n\nR es sencillo de instalar, esta disponible para Windows, Mac y Linux. Y lo mejor de todo, es software libre. https://www.r-project.org/\n\n<h4>Ejemplos de como Graficar Funciones en R</h4>\n<h2>Ln(x)</h2>\n\n> x <- 0:200                    # x es un vector con valores de 0 a 200 \n> y <- log(x,exp(1))     # y es un vector con el resultado Ln(x) para cada valor de x\n> plot(x,y)                       # plot es la función genérica para graficar\n\n ![ln.jpeg](https://steemitimages.com/DQmdjZLBcPfvFiNKCHVcMBpUBamorhHn8ija4TK8ccZkM79/ln.jpeg)\n\n<h2>x²</h2>\n\n>x <- -100:100           # x toma valores de -100 a 100\n>y <- x^2                     # y toma valores de x² para cada valor de x\n>plot(x,y,”l”)              # “l” para graficar con una linea \n\n![x^2.jpeg](https://steemitimages.com/DQmeYXEtwjMYUig2CWqvk7oJ9qLLZvgxFqT5CvgNZKDE5DL/x%5E2.jpeg)\n\n<h2>x³</h2>\n\n>x <- -100:100           \n>y <- x^3                      \n>plot(x,y,”l”,col=”red”)              # “col” color de la linea\n\n![x^3.jpeg](https://steemitimages.com/DQmcEv8CKnQ8t2TuuiocDjoUCKyHJBTcNNQGPbEAcRyE5Vv/x%5E3.jpeg)\n\nY tan solo con 3 pasos podemos graficar un función \n\nEsto es apenas algo pequeño para todo lo que se puede hacer en R, espero que les guste este post. Si necesitan resolver problemas matemáticos y esta en mi alcance ayudarles con gusto lo haré",
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