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17 A #'!'#$"$"%$''?$"'%$'#' "'!%'$#$#(I$%$'('# *!.." &. &! #. &"(& L+(M, 56. +! ( (, 0 ( 5+ & &+6!.0 #0" #,"5""0 6 +*56 )"56 #0&0 +"4#$#"L)M0 5.6 System.Random r= new 53( 6& double numero = r.nextdouble();,@., # J33,KL@5MnumeroL5 "4#$,,5 "LM6 int NumAleatorio = r.next(rangoinferior, RangoSuperior+1); "*.&. 8""( +"("..

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19 < Parametros de simulación ( inicio, fin) Entradas (v, t ) Modelo d = v * t Salida ( d ) ",/7- VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV +565+!1!6VVVVVVVVVVVVVVVVVVVVVVVVV 9" 9"+VVVVVVVVVVVVVVVVVVVVVVVVVVV 9"VVVVVVVVVVVVVVVVVVVVVVVVVVVVV 9"VVVVVVVVVVVVVVVVVVVVVVVVVVVVVV VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV 5% ;6VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV 57*-4,-!%.6VVVVVVVVVVVVV + -VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV +VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV $,.VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV F 5 6VVVVVVVVVVVVVVVVVVVVVVV 5#4+*,6VVVVVVVVVVVVVVVVVVVVV +VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV %8 0

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23 CB PROYECTO DE SIMULACIÓN NUMERO 5 ESTIMACIÓN DEL AREA DE UN CIRCULO DE RADIO R MEDIANTE EL METODO DE MONTE CARLO La elaboración del programa consiste en: 1. Pedir dos valores: N (Numero de puntos a colocar en el cuadrado) y R (Radio del Circulo).. Inicializar C en 0 3. Hacer un ciclo de 1 a N. 4. Generar dos coordenadas aleatorias X,Y dentro del cuadrado (Es decir, dos números aleatorios entre 0 y r). 5. Si se cumple la condición RAIZCUADRADA( x^ + y^ ) <= R, el punto generado cae dentro del círculo; por lo que hay que incrementarle uno a C. Si la condición no se cumple, no se hace nada. 6. Completar el ciclo (Regresar al paso 3). 7. Calcular el Area Estimada = (c/n)*(4*r^) 8. Calcular Pi Estimada (c/n)* 4 9. Imprimir Area Estimada, Pi Estimada. 10. Fin del proceso $,- 1K!3, K C 4 DH 56 D&G 50@6 B 10DH5D&G6/ & 0 r L = r x + y = r &5D&G6!* A _ semicirc c = A _ cuadrado n c A _ semicirc A _ cuadrado n c c A _ semicirc L = r n n ( ) = ( ) ( ) = +!*!* AreaEstimadaDelCirculo 3*&+!* AreaExactaDelCirculo c n ( 4r ) = = πr Como el área estimada es muy cercana al área real del círculo (con un margen de error pequeño si el numero n de puntos generados es grande), AreaEstimadaDelCirculo AreaExactaDelCirculo &"$* c ( 4) π n "'!'':$#$+"%%%$##!$'$#"4#$ raizcuadrada = System.Math.Sqrt (Numero);

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41 K $&0" * "," " 8* #," +* )" 56 4! 4 7& E, 0 L0M& * * "& " &&!, " * Generadores de números aleatorios uniformes #0 *0 %00,,&51*" 06!1 +.&,+ + 0K*&0 0 + PC?C 6 C ( P=B 5( 6 C PB<>C>AC ( C P>C>A 5( C 6 C P +*,F 0C?@@ Generadores Congruenciales Lineales 9 0! 3 "" <? (

42 KC Congruencial Mixto 4 0 ( & & 0 D W 0D ( D W P5D W6 1 T S [@6 5[@6 5[@6 &[&[6 LM0,! & & " +!@ "0@ &"0 5+6 ""&! T S + +$&"B?. 4C ] W 5][PC6 ] W 5][PC6 &"" +& "C = $,-( ; P?&PC &PB&P> D W P5D W6 P? D P5C 5?6WB6>PO D C P5C 5K6WB6>PA D B P5C 5A6WB6>P= D K P5C 5=6WB6>P D? P5C 5 6WB6>P@ D = P5C 5@6WB6>PB D A P5C 5B6WB6>PC D > P5C 5C6WB6>P? D < P5C 5?6WB6>PO 5K6WB6>PA PP> 30<" 0

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46 7 3 "? K= ($(#%'""$"%$$#!$#' '?$"'@X 0 5,6 &,,, -,? #'- D-,D"-J, "(.", S"& *,&,," D-5E*6 ",7D$;,Y9;H int x; try { System.IO.FileStream miarchivo = new System.IO.FileStream ("C:\\Ejemplo.txt",System.IO.FileMode.Create, System.IO.FileAccess.ReadWrite); System.IO.StreamWriter FlujoEscritura = new System.IO.StreamWriter(miArchivo); for (x=0;x<=listbox1.items.count-1;x++) { listbox1.selectedindex = x; FlujoEscritura.WriteLine (listbox1.text); } FlujoEscritura.Flush(); FlujoEscritura.Close(); miarchivo.close(); MessageBox.Show (" El archivo ha sido creado exitosamente.."); } catch (Exception ee) { MessageBox.Show (" Hubo un error : " + ee.message); } ",7D$;,Y9T!H try { using (System.Xml.XmlWriter writer = System.Xml.XmlWriter.Create(@"c:\ejemplo.xml")) { writer.writestartelement("numerosaleatoriosgenerados"); for (int x = 0; x <= listbox1.items.count - ; x++) { listbox1.selectedindex = x; writer.writestartelement ("Numero"); writer.writeelementstring ("ValorEnteroSolamente",listBox1.Text); writer.writeelementstring ("ValorEntre0y1", System.Convert.ToString (double.parse(listbox1.text) / double.parse(txtm.text) ) ); writer.writeendelement(); } writer.writeendelement(); writer.flush(); } MessageBox.Show("Archivo XML creado exitosamente"); } catch (Exception ex) { MessageBox.Show("Error..." + ex.message); }

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