Aufgaben:Exercise 2.7Z: C Program "z3" - Revision history

Guenter at 13:58, 29 December 2021

2021-12-29T13:58:23Z

Guenter at 13:55, 29 December 2021

2021-12-29T13:55:34Z

Noah at 09:04, 21 December 2021

2021-12-21T09:04:36Z

Guenter at 15:50, 10 December 2021

2021-12-10T15:50:36Z

Guenter at 10:16, 1 December 2021

2021-12-01T10:16:54Z

Guenter: Guenter moved page Aufgaben:Aufgabe 2.7Z: C-Programm z3 to Aufgaben:Exercise 2.7Z: C Program "z3"

2021-12-01T10:13:11Z

Guenter moved page Aufgabe 2.7Z: C-Programm z3 to Exercise 2.7Z: C Program "z3"

Javier: Text replacement - "”" to """

2021-05-28T14:30:12Z

Text replacement - "”" to """

Javier: Text replacement - "„" to """

2021-05-28T14:24:18Z

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Javier: Text replacement - "Category:Aufgaben zu Stochastische Signaltheorie" to "Category:Theory of Stochastic Signals: Exercises"

2021-03-23T12:43:52Z

Text replacement - "Category:Aufgaben zu Stochastische Signaltheorie" to "Category:Theory of Stochastic Signals: Exercises"

Javier: Text replacement - "[[Stochastische_Signaltheorie/" to "[[Theory_of_Stochastic_Signals/"

2020-07-09T09:46:39Z

Text replacement - "[[Stochastische_Signaltheorie/" to "[[Theory_of_Stochastic_Signals/"

@@ Line 45: / Line 45: @@
 ===Solution===
 {{ML-Kopf}}
-'''(1)'''&nbsp; <u>All three statements</u> are true.
+'''(1)'''&nbsp; <u>All three statements</u>&nbsp; are true.
-'''(2)'''&nbsp; The real-valued random numbers&nbsp; $0.75$,&nbsp; $0.19$,&nbsp; $0.43$&nbsp; and&nbsp; $0.08$&nbsp; are each compared with&nbsp; $0.25$&nbsp; .
+'''(2)'''&nbsp; The real-valued random numbers&nbsp; $0.75$,&nbsp; $0.19$,&nbsp; $0.43$&nbsp; and&nbsp; $0.08$&nbsp; are each compared with&nbsp; $0.25$.
 *This comparison results in the binary values&nbsp; $1, \ 0, \ 1, \ 0$.
-*This results in the sum&nbsp; $\underline{z3 = 2}$ in the first call.
+*This results in the sum&nbsp; $\underline{z3 = 2}$&nbsp; for the first call.
 '''(3)'''&nbsp; Analogous to the result of the subtask&nbsp; '''(2)'''&nbsp; the binary values&nbsp; $1, \ 1, \ 1, \ 0$&nbsp; now occur because of the random values&nbsp; $0.99$,&nbsp; $0.32$,&nbsp; $0.53$&nbsp; and&nbsp; $0.02$&nbsp; .
-*This leads to the output value&nbsp; $\underline{z3 = 3}$&nbsp; (again sum of binary values).
+*This leads to the output value&nbsp; $\underline{z3 = 3}$&nbsp; (again the sum of binary values).
 {{ML-Fuß}}

@@ Line 4: / Line 4: @@
 [[File:EN_Sto_Z_2_7.png|right|frame| C program&nbsp; $z3$&nbsp; for generating <br>a binomial distribution]]
-The C program&nbsp; $z3$&nbsp; given opposite successively generates a binomially distributed random variable with the characteristic variables&nbsp; $I$&nbsp; and&nbsp; $p$.&nbsp;
+The C program&nbsp; $z3$&nbsp; given here successively generates a binomially distributed random variable with the characteristic variables&nbsp; $I$&nbsp; and&nbsp; $p$.&nbsp;
 *It uses the program&nbsp; $z1$ already described and analyzed in&nbsp; [[Aufgaben:Exercise_2.7:_C_Programs_"z1"_and_"z2"|Exercise 2.7]]&nbsp;.
 *Assume that the program is called with parameters&nbsp; $I = 4$&nbsp; and&nbsp; $p = 0.75$&nbsp;.
 *The first eight real-valued numbers&nbsp; (all between zero and one)&nbsp; generated by the random generator&nbsp; $\text{random()}$&nbsp; are:
 :$$\rm 0.75, \ 0.19, \ 0.43, \ 0.08, \ 0.99, \ 0.32, \ 0.53, \ 0.02.$$
@@ Line 20: / Line 16: @@
 Hints:
 *The exercise belongs to the chapter&nbsp; [[Theory_of_Stochastic_Signals/Generation_of_Discrete_Random_Variables|Generation of Discrete Random Variables]].
-*Reference is also made to the chapter&nbsp; [[Theory_of_Stochastic_Signals/Binomial_Distribution|binomial distribution]].
+*Reference is also made to the chapter&nbsp; [[Theory_of_Stochastic_Signals/Binomial_Distribution|Binomial distribution]].
@@ Line 29: / Line 25: @@
 {Which of the following statements are true?
 |type="[]"}
-+ $z3$&nbsp; returns a binomially distributed random variable, because several binary values are summed up.
++ $z3$&nbsp; returns a binomially distributed random variable,&nbsp; because several binary values are summed up.
-+ To pass parameters to the program $z1$, the array&nbsp; $\text{p_array} = \big [1-p, \ \ p \big]$&nbsp; is used.
++ To pass parameters to the program&nbsp; $z1$,&nbsp; the array &nbsp; $\text{p_array} = \big [1-p, \ \ p \big]$ &nbsp; is used.
-+ Passing of&nbsp; $M=2$&nbsp; must be done with "$\rm 2L$", because&nbsp; $z1$&nbsp; expects a long (data type) value.
++ Passing of&nbsp; $M=2$&nbsp; must be done with&nbsp; "$\rm 2L$",&nbsp; because&nbsp; $z1$&nbsp; expects a long (data type) value.
-{What value will be output on&nbsp; <u>first call</u>&nbsp; of&nbsp; $z3$&nbsp;?
+{What value will be output on the&nbsp; <u>first call</u>&nbsp; of&nbsp; $z3$&nbsp;?
 |type="{}"}
 $z3 \ = \ $ { 2 }
-{What value will be output on&nbsp; <u>second call</u>&nbsp; of&nbsp; $z3$&nbsp;?
+{What value will be output on the&nbsp; <u>second call</u>&nbsp; of&nbsp; $z3$&nbsp;?
 |type="{}"}
 $z3 \ = \ $ { 3 }

@@ Line 1: / Line 1: @@
-{{quiz-Header|Buchseite=Stochastische Signaltheorie/Erzeugung von diskreten Zufallsgrößen
+{{quiz-Header|Buchseite=Theory_of_Stochastic_Signals/Generation_of_Discrete_Random_Variables
 }}
-[[File:EN_Sto_Z_2_7.png|right|frame| C-Programm&nbsp; $z3$&nbsp; zur Generierung <br>einer Binomialverteilung]]
+[[File:EN_Sto_Z_2_7.png|right|frame| C program&nbsp; $z3$&nbsp; for generating <br>a binomial distribution]]
-Das nebenstehend angegebene C-Programm&nbsp;  $z3$&nbsp; erzeugt sukzessive eine binomialverteilte Zufallsgr&ouml;&szlig;e mit den charakteristischen Kenngr&ouml;&szlig;en&nbsp; $I$&nbsp; und&nbsp; $p$.&nbsp;
+The C program&nbsp; $z3$&nbsp; given opposite successively generates a binomially distributed random variable with the characteristic variables&nbsp; $I$&nbsp; and&nbsp; $p$.&nbsp;
-*Es verwendet dabei das Programm&nbsp; $z1$, das bereits in&nbsp; [[Aufgaben:2.7_C-Programme_z1_und_z2|Aufgabe 2.7]]&nbsp; beschrieben und analysiert wurde.
+*It uses the program&nbsp; $z1$ already described and analyzed in&nbsp; [[Aufgaben:Exercise_2.7:_C_Programs_"z1"_and_"z2"|Exercise 2.7]]&nbsp;.
-*Gehen Sie davon aus, dass das Programm mit den Parametern&nbsp; $I = 4$&nbsp; und&nbsp; $p = 0.75$&nbsp; aufgerufen wird.
+*Assume that the program is called with parameters&nbsp; $I = 4$&nbsp; and&nbsp; $p = 0.75$&nbsp;.
-*Die ersten acht vom Zufallsgenerator&nbsp; $\text{random()}$&nbsp; erzeugten reellwertigen Zahlen&nbsp; (alle zwischen Null und Eins)&nbsp; lauten:
+*The first eight real-valued numbers&nbsp; (all between zero and one)&nbsp; generated by the random generator&nbsp; $\text{random()}$&nbsp; are:
 :$$\rm 0.75, \ 0.19, \ 0.43, \ 0.08, \ 0.99, \ 0.32, \ 0.53, \ 0.02.$$
@@ Line 17: / Line 17: @@
-''Hinweise:''
-*Die Aufgabe gehört zum  Kapitel&nbsp; [[Theory_of_Stochastic_Signals/Erzeugung_von_diskreten_Zufallsgrößen|Erzeugung von diskreten Zufallsgrößen]].
+Hints:
-*Bezug genommen wird auch auf das Kapitel&nbsp; [[Theory_of_Stochastic_Signals/Binomialverteilung|Binomialverteilung]].
+*The exercise belongs to the chapter&nbsp; [[Theory_of_Stochastic_Signals/Generation_of_Discrete_Random_Variables|Generation of Discrete Random Variables]].
-===Fragebogen===
+===Questions===
 <quiz display=simple>
-{Welche der folgenden Aussagen sind zutreffend?
+{Which of the following statements are true?
 |type="[]"}
-+ $z3$&nbsp; liefert eine binomialverteilte Zufallsgr&ouml;&szlig;e, weil mehrere Bin&auml;rwerte aufsummiert werden.
++ $z3$&nbsp; returns a binomially distributed random variable, because several binary values are summed up.
-+ Zur Parameterübergabe  an das Programm $z1$ wird das Feld&nbsp; $\text{p_array} = \big [1-p, \ \ p \big]$&nbsp; benutzt.
++ To pass parameters to the program $z1$, the array&nbsp; $\text{p_array} = \big [1-p, \ \ p \big]$&nbsp; is used.
-+ Die &Uuml;bergabe von&nbsp; $M=2$&nbsp; muss mit "$\rm 2L$" geschehen, da&nbsp; $z1$&nbsp; einen Long-Wert erwartet.
++ Passing of&nbsp; $M=2$&nbsp; must be done with "$\rm 2L$", because&nbsp; $z1$&nbsp; expects a long (data type) value.
-{Welcher Wert wird beim&nbsp; <u>ersten Aufruf</u>&nbsp; von&nbsp; $z3$&nbsp; ausgegeben?
+{What value will be output on&nbsp; <u>first call</u>&nbsp; of&nbsp; $z3$&nbsp;?
 |type="{}"}
-$z3 \ = \ $  { 2 }
+$z3 \ = \ $ { 2 }
-{Welcher Wert wird beim&nbsp; <u>zweiten Aufruf</u>&nbsp; von&nbsp; $z3$&nbsp; ausgegeben?
+{What value will be output on&nbsp; <u>second call</u>&nbsp; of&nbsp; $z3$&nbsp;?
 |type="{}"}
 $z3 \ = \ $ { 3 }
@@ Line 46: / Line 47: @@
 </quiz>
-===Musterlösung===
+===Solution===
 {{ML-Kopf}}
-'''(1)'''&nbsp; <u>Alle drei Aussagen</u> sind richtig.
+'''(1)'''&nbsp; <u>All three statements</u> are true.
-'''(2)'''&nbsp; Die reellwertigen Zufallszahlen&nbsp; $0.75$,&nbsp; $0.19$,&nbsp; $0.43$&nbsp; und&nbsp; $0.08$&nbsp; werden jeweils mit&nbsp; $0.25$&nbsp; verglichen.
+'''(2)'''&nbsp; The real-valued random numbers&nbsp; $0.75$,&nbsp; $0.19$,&nbsp; $0.43$&nbsp; and&nbsp; $0.08$&nbsp; are each compared with&nbsp; $0.25$&nbsp; .
-*Dieser Vergleich f&uuml;hrt zu den Bin&auml;rwerten&nbsp; $1, \ 0, \ 1, \ 0$.
+*This comparison results in the binary values&nbsp; $1, \ 0, \ 1, \ 0$.
-*Das ergibt im ersten Aufruf die Summe&nbsp; $\underline{z3 = 2}$.
+*This results in the sum&nbsp; $\underline{z3 = 2}$ in the first call.
-'''(3)'''&nbsp; Analog zum Ergebnis der Teilaufgabe&nbsp; '''(2)'''&nbsp; treten nun wegen der Zufallswerte&nbsp; $0.99$,&nbsp; $0.32$,&nbsp; $0.53$&nbsp; und&nbsp; $0.02$&nbsp; die Bin&auml;rwerte&nbsp; $1, \ 1, \ 1, \ 0$&nbsp; auf.
+'''(3)'''&nbsp; Analogous to the result of the subtask&nbsp; '''(2)'''&nbsp; the binary values&nbsp; $1, \ 1, \ 1, \ 0$&nbsp; now occur because of the random values&nbsp; $0.99$,&nbsp; $0.32$,&nbsp; $0.53$&nbsp; and&nbsp; $0.02$&nbsp; .
-*Dies f&uuml;hrt zum Ausgabewert&nbsp; $\underline{z3 = 3}$&nbsp; (wiederum Summe der Binärwerte).
+*This leads to the output value&nbsp; $\underline{z3 = 3}$&nbsp; (again sum of binary values).
 {{ML-Fuß}}

@@ Line 3: / Line 3: @@
 }}
-[[File:P_ID123__Sto_Z_2_7.png|right|frame| C-Programm&nbsp; $z3$&nbsp; zur Generierung <br>einer Binomialverteilung]]
+[[File:EN_Sto_Z_2_7.png|right|frame| C-Programm&nbsp; $z3$&nbsp; zur Generierung <br>einer Binomialverteilung]]
 Das nebenstehend angegebene C-Programm&nbsp;  $z3$&nbsp; erzeugt sukzessive eine binomialverteilte Zufallsgr&ouml;&szlig;e mit den charakteristischen Kenngr&ouml;&szlig;en&nbsp; $I$&nbsp; und&nbsp; $p$.&nbsp;
 *Es verwendet dabei das Programm&nbsp; $z1$, das bereits in&nbsp; [[Aufgaben:2.7_C-Programme_z1_und_z2|Aufgabe 2.7]]&nbsp; beschrieben und analysiert wurde.

← Older revision		Revision as of 10:16, 1 December 2021
Line 64:		Line 64:


−	[[Category:Theory of Stochastic Signals: Exercises\|^2.5 ~~Erzeugung diskreter Zufallsgrößen~~^]]	+	[[Category:Theory of Stochastic Signals: Exercises\|^2.5 Generation of Discrete Random Variables^]]

@@ Line 30: / Line 30: @@
 + $z3$&nbsp; liefert eine binomialverteilte Zufallsgr&ouml;&szlig;e, weil mehrere Bin&auml;rwerte aufsummiert werden.
 + Zur Parameterübergabe  an das Programm $z1$ wird das Feld&nbsp; $\text{p_array} = \big [1-p, \ \ p \big]$&nbsp; benutzt.
-+ Die &Uuml;bergabe von&nbsp; $M=2$&nbsp; muss mit &bdquo;$\rm 2L$&rdquo; geschehen, da&nbsp; $z1$&nbsp; einen Long-Wert erwartet.
++ Die &Uuml;bergabe von&nbsp; $M=2$&nbsp; muss mit "$\rm 2L$&rdquo; geschehen, da&nbsp; $z1$&nbsp; einen Long-Wert erwartet.

← Older revision		Revision as of 12:43, 23 March 2021
Line 64:		Line 64:


−	[[Category:~~Aufgaben zu Stochastische Signaltheorie~~\|^2.5 Erzeugung diskreter Zufallsgrößen^]]	+	[[Category:Theory of Stochastic Signals: Exercises\|^2.5 Erzeugung diskreter Zufallsgrößen^]]