From 5c1fe91805848db7688d167d03d5001e0bb2120f Mon Sep 17 00:00:00 2001
From: sebaheredia <sebaheredia@gmail.com>
Date: Thu, 11 Jan 2018 10:01:07 -0300
Subject: [PATCH] Version 1.0

---
 Ej1a.py                |  28 ++++++
 Ej1b.py                |  26 ++++++
 Ej1b_V2.py             |  24 +++++
 Ej1c.py                |  24 +++++
 Ej1c_V2.py             |  21 +++++
 Ej2a.py                |  34 +++++++
 Ej2a_v2.py             |  38 ++++++++
 Ej3a.py                |  44 +++++++++
 PolAndDer.txt          | 201 +++++++++++++++++++++++++++++++++++++++++
 PolinomioYDerivada.png | Bin 0 -> 40992 bytes
 prueba1.py             |  21 +++++
 11 files changed, 461 insertions(+)
 create mode 100644 Ej1a.py
 create mode 100644 Ej1b.py
 create mode 100644 Ej1b_V2.py
 create mode 100644 Ej1c.py
 create mode 100644 Ej1c_V2.py
 create mode 100644 Ej2a.py
 create mode 100644 Ej2a_v2.py
 create mode 100644 Ej3a.py
 create mode 100644 PolAndDer.txt
 create mode 100644 PolinomioYDerivada.png
 create mode 100644 prueba1.py

diff --git a/Ej1a.py b/Ej1a.py
new file mode 100644
index 0000000..4882df2
--- /dev/null
+++ b/Ej1a.py
@@ -0,0 +1,28 @@
+
+#Utilizando solo python elegir alguno de los siguientes problemas y solucionarlo (no use numpy) El archivo ejemplo.py contiene la solucion #al primer ejercicio. Puede utilizarlo para verificar su solucion o como ejemplo para resolver los demas. Los problemas fueron extraidos de #https://projecteuler.net/archives
+
+#a) Si hacemos una lista de todos los numeros naturales debajo de 10 que sean multiplos de 3 o 5 obtendriamos 3, 5, 6 y 9. La suma de los #multiplos es 23. Encuentre la suma de todos los multiplos de 3 y 5 debajo de 1000.
+
+# Importamos la libreria con las funciones que se van a utilizar
+import numpy as np
+
+# Aqui se define el numero a probar
+n=1000
+# Se crea un vector que vaya de 0 a n-1
+a= range(1,n) #defined as a list
+# Se define un valor auxiliar que sera la suma parcial
+suma=0
+for i in a:
+# Esta es la condicion se es multiplo de 3 o 5 hace lo que esta dentro del if
+    if (i%3)==0 or (i%5)==0:
+        # print(i)
+        suma =suma+i
+# Imprime el valor final de la suma
+print ("El valor final de la suma es = ",suma)
+# ('El valor final de la suma es = ', 233168)
+
+
+
+
+
+
diff --git a/Ej1b.py b/Ej1b.py
new file mode 100644
index 0000000..7d81eb6
--- /dev/null
+++ b/Ej1b.py
@@ -0,0 +1,26 @@
+
+# Importamos la libreria con las funciones que se van a utilizar
+import numpy as np
+
+# Se definen los valores iniciales de las variables: suma, amin1, amin2
+suma = 0
+amin1=0
+amin2=1
+# Se define el corte en la serie de Fibonacci
+corte=1000000
+# Valor inicial de la variable fibonacci
+fibonacci=0
+while fibonacci < corte:
+# Si fibonacci es impar hace la suma parcial del termino
+        if (fibonacci%2==1):
+                suma=suma+fibonacci
+#                print('La suma es: ',suma)
+# Se actualizan los valores del termino de la serie fibonacci, amin1 y amin2
+        fibonacci=amin1+amin2
+#        print('El termino fibonacci es: ',fibonacci)
+        amin1=amin2
+        amin2=fibonacci
+# Se imprime el valor final de la suma
+print("La suma total de los numeros impares de la serie de Fibonacci menores a ",corte," es ",suma)
+#'La suma total de los numeros impares de la serie de Fibonacci menores a ', 1000000, ' es ', 1089153
+
diff --git a/Ej1b_V2.py b/Ej1b_V2.py
new file mode 100644
index 0000000..5e38375
--- /dev/null
+++ b/Ej1b_V2.py
@@ -0,0 +1,24 @@
+
+# Importamos la libreria con las funciones que se van a utilizar
+import numpy as np
+
+# Se definen los valores iniciales de las variables: suma, amin1, amin2
+suma = 0
+amin1=0
+amin2=1
+# Se define el corte en la serie de Fibonacci
+corte=1000000
+# Valor inicial de la variable fibonacci
+fibonacci=0
+while fibonacci < corte:
+# Si fibonacci es impar hace la suma parcial del termino
+        if (fibonacci%2==1):
+                suma=suma+fibonacci
+# Se actualizan los valores del termino de la serie fibonacci, amin1 y amin2
+        fibonacci=amin1+amin2
+        amin1=amin2
+        amin2=fibonacci
+# Se imprime el valor final de la suma
+print("La suma total de los numeros impares de la serie de Fibonacci menores a ",corte," es ",suma)
+#'La suma total de los numeros impares de la serie de Fibonacci menores a ', 1000000, ' es ', 1089153
+
diff --git a/Ej1c.py b/Ej1c.py
new file mode 100644
index 0000000..4132115
--- /dev/null
+++ b/Ej1c.py
@@ -0,0 +1,24 @@
+
+# Importamos la libreria con las funciones que se van a utilizar
+import numpy as np
+
+# Aqui se define el numero a descomponer en numeros primos
+n=2*3*5*7
+print("n = ",n)
+# El primer divisor de prueba se define 2, ya que todo numero es divisible por 1
+i=2
+# aux es un valor auxiliar que seria el ultimo cociente  de la descomposicion con el ultimo numero primo
+aux=n
+# La condicion i <= n/2 se debe a que no va a haber ningun numero primo mayor a n/2
+while i <= n/2:
+#        print("i = ",i)
+        if aux%i==0:
+                aux=aux/i
+                max_div=i
+                print("max_div = ",max_div)
+                print("aux = ",aux)
+# Se sube e 1 el divisor propuesto
+        i=i+1
+# Se imprime el ultimo valor del maximo divisor
+print("max_div = ",max_div)
+
diff --git a/Ej1c_V2.py b/Ej1c_V2.py
new file mode 100644
index 0000000..8b4b6c7
--- /dev/null
+++ b/Ej1c_V2.py
@@ -0,0 +1,21 @@
+
+# Importamos la libreria con las funciones que se van a utilizar
+import numpy as np
+
+# Aqui se define el numero a descomponer en numeros primos
+n=600851475143
+print("n = ",n)
+# El primer divisor de prueba se define 2, ya que todo numero es divisible por 1
+i=2
+# aux es un valor auxiliar que seria el ultimo cociente  de la descomposicion con el ultimo numero primo
+aux=n
+# La condicion i <= n/2 se debe a que no va a haber ningun numero primo mayor a n/2
+while i <= n/2:
+        if aux%i==0:
+                aux=aux/i
+                max_div=i
+# Se sube e 1 el divisor propuesto
+        i=i+1
+# Se imprime el ultimo valor del maximo divisor
+print("max_div = ",max_div)
+
diff --git a/Ej2a.py b/Ej2a.py
new file mode 100644
index 0000000..cd8975d
--- /dev/null
+++ b/Ej2a.py
@@ -0,0 +1,34 @@
+
+# Se importan las libreria con las funciones que se van a utilizar
+import numpy as np
+import matplotlib.pyplot as pp
+from pylab import * 
+
+fold='/home/janisaseba/Dropbox/documentos/cursos/TecnicasDeProgramacionCientifica/ejercicios/labdia1/mios'
+# Se definen los valores de x e y
+x=array([7,5,4,48,8,60,7,73,5,28,4,25,6,99,6,31,9,15,5,06])
+y=array([28,66,20,37,22,33,26,35,22,29,21,74,23,11,23,13,24,68,21,89])
+
+# Grafico de los puntos en el plano x,y
+fig=pp.figure()
+pp.plot(x,y,"*",color='r',label='x vs y')
+pp.title('Scatter plot y Vs. x')
+pp.ylabel('y')
+pp.grid(True)
+pp.xlabel('x')
+fig_fol=fold + '/xVsy_scatter.png'
+print(fig_fol)
+fig.savefig(fig_fol)
+pp.show()
+#m,b = np.polyfit(x, y, 1) 
+#yaux=x*m+b
+##print(yaux)
+##x_si=np.size(x)
+##yaux_si=np.size(yaux)
+##print("x.shape = ",x_si)
+##print("yaux.shape = ",yaux_si)
+##print(m)
+##print(b)
+#pp.plot(x, y, 'yo', x, yaux, '--r')
+##plot(x, y, 'yo', x, m*x+b, '--k') 
+#pp.show() 
diff --git a/Ej2a_v2.py b/Ej2a_v2.py
new file mode 100644
index 0000000..4f32297
--- /dev/null
+++ b/Ej2a_v2.py
@@ -0,0 +1,38 @@
+
+# Se importan las libreria con las funciones que se van a utilizar
+import numpy as np
+import matplotlib.pyplot as pp
+from pylab import * 
+
+# Carpeta local
+local_fol='/home/janisaseba/Dropbox/documentos/cursos/TecnicasDeProgramacionCientifica/ejercicios/labdia1/mios'
+# Se definen los valores de x e y
+x=array([7,5,4,48,8,60,7,73,5,28,4,25,6,99,6,31,9,15,5,06])
+y=array([28,66,20,37,22,33,26,35,22,29,21,74,23,11,23,13,24,68,21,89])
+
+# Grafico de los puntos en el plano x,y
+fig=pp.figure()
+line1, =pp.plot(x,y,"*",color='b')
+pp.title('Scatter plot y Vs. x')
+pp.ylabel('Eje y')
+pp.grid(True)
+pp.xlabel('Eje x')
+# direccion donde se va a guardar la figura
+fig_fol=local_fol + '/xVsy_scatter.png'
+# Se guarda la figura
+fig.savefig(fig_fol)
+
+# Calculo de los coeficientes del ajuste lineal
+m,b = np.polyfit(x, y, 1) 
+# Calcuo de valor de "y" segun el ajuste
+yaux=x*m+b
+# Grafico de los valores interpolados
+line2, =pp.plot(x,yaux, '--r')
+pp.legend([line1,line2], ['Valores Originales', 'Valores Interpolados'])
+fig_fol2=local_fol + '/x-y_Vs_xyinterpolated_scatter.png'
+# Se guarda la figura
+fig.savefig(fig_fol2)
+pp.show() 
+
+
+
diff --git a/Ej3a.py b/Ej3a.py
new file mode 100644
index 0000000..5c7c132
--- /dev/null
+++ b/Ej3a.py
@@ -0,0 +1,44 @@
+# Se importan las libreria con las funciones que se van a utilizar
+import numpy as np
+import matplotlib.pyplot as pp
+
+# Carpeta local
+local_fol='/home/janisaseba/Dropbox/documentos/cursos/TecnicasDeProgramacionCientifica/ejercicios/labdia1/mios'
+# Variable independiente - vector x
+x=np.arange(-10,10,0.1)
+# Coeficientes del polinomio en orden decreciente
+pol=np.array([1,1,-4,4])
+# Se evalua el poliinomio en los valores de x
+pol_val=np.polyval(pol,x)
+# Calculo de la derivada. El primer argumento de polyder es el polinomio, el segundo es el orden de la derivada
+pol_der=np.polyder(pol,1)
+# se evalua la derivada en x
+pol_der_val=np.polyval(pol_der,x)
+
+# Grafico del polinomio y su derivada en funcion de x
+fig=pp.figure()
+line1, =pp.plot(x,pol_val,".-",color='b')
+line2, =pp.plot(x,pol_der_val,".-",color='r')
+pp.title('Grafico del Polinomio y su derivada')
+pp.ylabel('Eje y')
+pp.grid(True)
+pp.xlabel('Eje x')
+pp.legend([line1,line2], ['Valores del Polinomio', 'Valores de la Derivada'])
+fig_fol=local_fol + '/PolinomioYDerivada.png'
+fig.savefig(fig_fol)
+pp.show()
+
+# Se ordenan las variables en columnas
+c=zip(x,pol_val,pol_der_val)
+# Escritura de las variables en un archivo de texto
+np.savetxt("PolAndDer.txt", c, delimiter='   ', header="        Valores de x            Valores del Polinomio   Valores de la Derivada", comments="")
+
+
+
+
+
+
+
+
+
+
diff --git a/PolAndDer.txt b/PolAndDer.txt
new file mode 100644
index 0000000..c80aef1
--- /dev/null
+++ b/PolAndDer.txt
@@ -0,0 +1,201 @@
+        Valores de x            Valores del Polinomio   Valores de la Derivada
+-1.000000000000000000e+01   -8.560000000000000000e+02   2.760000000000000000e+02
+-9.900000000000000355e+00   -8.286890000000001919e+02   2.702300000000000182e+02
+-9.800000000000000711e+00   -8.019520000000001119e+02   2.645200000000000387e+02
+-9.700000000000001066e+00   -7.757830000000002428e+02   2.588700000000000614e+02
+-9.600000000000001421e+00   -7.501760000000003856e+02   2.532800000000000864e+02
+-9.500000000000001776e+00   -7.251250000000004547e+02   2.477500000000001137e+02
+-9.400000000000002132e+00   -7.006240000000004784e+02   2.422800000000001148e+02
+-9.300000000000002487e+00   -6.766670000000005984e+02   2.368700000000001182e+02
+-9.200000000000002842e+00   -6.532480000000007294e+02   2.315200000000001523e+02
+-9.100000000000003197e+00   -6.303610000000006721e+02   2.262300000000001887e+02
+-9.000000000000003553e+00   -6.080000000000007958e+02   2.210000000000001990e+02
+-8.900000000000003908e+00   -5.861590000000007876e+02   2.158300000000001830e+02
+-8.800000000000004263e+00   -5.648320000000009031e+02   2.107200000000002262e+02
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diff --git a/prueba1.py b/prueba1.py
new file mode 100644
index 0000000..5659ad7
--- /dev/null
+++ b/prueba1.py
@@ -0,0 +1,21 @@
+
+#Utilizando solo python elegir alguno de los siguientes problemas y solucionarlo (no use numpy) El archivo ejemplo.py contiene la solucion #al primer ejercicio. Puede utilizarlo para verificar su solucion o como ejemplo para resolver los demas. Los problemas fueron extraidos de #https://projecteuler.net/archives
+
+#a) Si hacemos una lista de todos los numeros naturales debajo de 10 que sean multiplos de 3 o 5 obtendriamos 3, 5, 6 y 9. La suma de los #multiplos es 23. Encuentre la suma de todos los multiplos de 3 y 5 debajo de 1000.
+import numpy as np
+
+n=1000
+a= range(1,n) #defined as a list
+suma=0
+for i in a:
+    if (i%3)==0 or (i%5)==0:
+        # print(i)
+        suma =suma+i
+
+print (suma)
+# me dio 233168
+
+
+
+
+