Question

In: Electrical Engineering

From calculus, you know that the derivative and integral are inverse operations; one undoes the effect...

From calculus, you know that the derivative and integral are inverse operations; one undoes the effect of the other. Prove that the first difference and the running sum are also inverse operations. That is, show that the cascade of these two systems is identical to the delta function. Explain in detail?

Solutions

Expert Solution


Related Solutions

Plot the effect of proportional (Kp), integral (Ki), and derivative (Kd) gains to a step-change in...
Plot the effect of proportional (Kp), integral (Ki), and derivative (Kd) gains to a step-change in an error signal, e(t). At least make three plots (1-3), each containing three graphs: 1. Graph 1 High Kp; graph2: medium Kp; graph 3: low Kp 2. Graph 1: Low Kd; Graph 2: medium Kd; Graph 3: high Kd 3. Graph 1: High Kp and Ki; Graph 2: medium Kp, Ki, and Kd; Graph 3: low Kp and Ki
In c++ This question is relevant if you implemented a polynomial that included some calculus-based operations...
In c++ This question is relevant if you implemented a polynomial that included some calculus-based operations such as derivative and integral. Write a new function that meets the following specification: double slope(const polynomial& p, double x) // POSTCONDITION: The return value is equal to the slope of the // polynomial p, evaluated at the point x.
how does observed pH from the indicator differ from the one obtained from the first derivative...
how does observed pH from the indicator differ from the one obtained from the first derivative for acetic acid? which method is more accurate?
how does observed pH from the indicator differ from the one obtained from the first derivative...
how does observed pH from the indicator differ from the one obtained from the first derivative for acetic acid? which method is more accurate?
select a company that you know its operations well and make recommendations to improve its operations....
select a company that you know its operations well and make recommendations to improve its operations. Your project should address what problems you see in these operations, what seems to the causes of these problems, how would you go about addressing these problems and the methods, how would you collect data, what recommendations would you make to improve the situation, what are the potential benefits. List any potential difficulties. Ideally, if the company can implement some of your recommendations, then...
You want to know if a nurse’s absences from work in one month (Y) are correlated...
You want to know if a nurse’s absences from work in one month (Y) are correlated with her score on a psychological test of burnout (X). Higher scores = more burnout. What conclusions do you draw from the data below? Nurse   Burnout (X) Absences (Y) 1. 2 4 2 1 7 3 2 6 4 3 9 5 4 6 6 4 8 7 7 7 8 7 10 9 8 11 Please use SPSS to compute the test statistic...
1. Know the pharmacodynamics on how medications effect the body from a cellular perspective . 2....
1. Know the pharmacodynamics on how medications effect the body from a cellular perspective . 2. How are drugs classified and/or categorized, especially related to pregnancy? 3. What is the “therapeutic range” of a drug? 4. Develop an understanding of which systems of the body are most impacted by hypertension .5. Know phenytoin (Dilantin): mechanism of action & adverse effects 6. Understand mechanism of action, general side effects and dietary considerations of the classes – SSRIs, MAOIs, anticholinergics 7. Know...
Discuss your experiences with cyber-bullying – either a personal experience or one you know of from...
Discuss your experiences with cyber-bullying – either a personal experience or one you know of from peers or the media. How did the different roles (victim, bully, bully victim, bystanders, and “toadies”) present themselves in this experience? Then, imagine you are on the school board and a vocal advocate against bullying. You have been asked to design a program that addresses bullying in your school. How would you approach this task? Describe four factors involved in a multifaceted school-based approach...
You are the dealer in one of the reputable banks and one of your roles is related to trading and monitoring of changes in the derivative markets.
a. You are the dealer in one of the reputable banks and one of your roles is related to trading andmonitoring of changes in the derivative markets. You are interested in one stock for BallyInternational hedgers; the stock under consideration is currently trading at K25 it can either go upor down by 15 percent in any given period. The risk-free rate is 10 percent. You decide to takethe long position in this stock at an exercise price of 20 with...
I just one to know a different input from someone here. What do you hope to...
I just one to know a different input from someone here. What do you hope to take from a "History" class and be able to apply either in future classes or in your career?  
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT