Can someone please explain what a Poisson Process is and what its .pdf
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Can someone please explain what a Poisson Process is and what it\'s used for? Solution The basic form of Poisson process, often referred to simply as \"the Poisson process\", is a continuous-time counting process {N(t), t = 0} that possesses the following properties: N(0) = 0 Independent increments (the numbers of occurrences counted in disjoint intervals are independent from each other) Stationary increments (the probability distribution of the number of occurrences counted in any time interval only depends on the length of the interval) No counted occurrences are simultaneous. Consequences of this definition include: The probability distribution of N(t) is a Poisson distribution. The probability distribution of the waiting time until the next occurrence is an exponential distribution. The occurrences are distributed uniformly on any interval of time. (Note that N(t), the total number of occurrences, has a Poisson distribution over (0, t], whereas the location of an individual occurrence on t ? (a, b] is uniform.) Other types of Poisson process are described below.
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![Can someone please explain what a Poisson Process is and what it's used for?
Solution
The basic form of Poisson process, often referred to simply as "the Poisson
process", is a continuous-time counting process {N(t), t = 0} that possesses the following
properties: N(0) = 0 Independent increments (the numbers of occurrences counted in disjoint
intervals are independent from each other) Stationary increments (the probability distribution of
the number of occurrences counted in any time interval only depends on the length of the
interval) No counted occurrences are simultaneous. Consequences of this definition include:
The probability distribution of N(t) is a Poisson distribution. The probability distribution of the
waiting time until the next occurrence is an exponential distribution. The occurrences are
distributed uniformly on any interval of time. (Note that N(t), the total number of occurrences,
has a Poisson distribution over (0, t], whereas the location of an individual occurrence on t ? (a,
b] is uniform.) Other types of Poisson process are described below](https://image.slidesharecdn.com/cansomeonepleaseexplainwhatapoissonprocessisandwhatits-230326082958-7f7f3d7b/85/Can-someone-please-explain-what-a-Poisson-Process-is-and-what-its-pdf-1-320.jpg)
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Please explain both Poisson and exponential distributions and the di.pdf
Please explain both Poisson and exponential distributions and the difference between them.
Please include extensive details for lifesaver.
Solution
The Poisson distribution - Introduction
The Poisson distribution is related to the exponential distribution. Suppose a certain event can
occur many times within a unit of time. Denote by x the total number of occurrences within a
unit of time. Suppose x is unknown (it is a random variable). If the time elapsed between two
successive occurrences of the event has an exponential distribution (and it is independent of
previous occurrences), then x has a Poisson distribution.
The Poisson distribution - Definition
The Poisson distribution is characterized as follows:
Definition_ Let x be a discrete random variable. Let its support Rx be the set of positive integer
numbers (the natural numbers and ):
Rx = Z+
For a Poisson process, hits occur at random independent of the past, but with a known long term
average rate of hits per unit time. The Poisson distribution would let us find the probability of
getting some particular number of hits.
Now, instead of looking at the number of hits, we look at the random variable L (for Lifetime),
the time you have to wait for the first hit.
The probability that the waiting time is more than a given time value is
P(L>t)=P(no hits in time t)=0e0!=et (by the Poisson distribution, where =t).
P(Lt)=1et (the cumulative distribution function). We can get the density function by taking the
derivative of this:
f(x)={et0fort0fort<0
Any random variable that has a density function like this is said to be exponentially distributed.
The relation between the Poisson distribution and the exponential distribution is summarized by
the following proposition:
Proposition_ X (the number of occurrences of an event within a unit of time) has a Poisson
distribution with parameter if and only if the time elapsed between two successive occurrences
of the event has an exponential distribution with parameter and it is independent of previous
occurrences..
The simple Poisson process is characterized by a constant rate at whi.pdf
The simple Poisson process is characterized by a constant rate at which events occur per unit
time. A generalization of this is to suppose that the probability of exactly one event occurring in
the interval [ t , t + t ] is ( t ) t + o ( t ) . It can then be shown that the number of events occurring
during an interval [ t 1 , t 2 ] has a Poisson distribution with parameter = t 2 t 1 ( t ) d t The
occurrence of events over time in this situation is called a nonhomogeneous Poisson process. The
article "Inference Based on Retrospective Ascertainment," J. Amer. Stat. Assoc., 1989: 360-372,
considers the intensity function ( t ) = exp ( + t ) as appropriate for events involving transmission
of HIV (the AIDS virus) via blood transfusion. Suppose that a = 2 and b = .6 (close to values
suggested in the paper), with time in years. 2.a What is the expected number of events in the
interval [ 0 , 4 ] ? In [ 2 , 6 ] ? 2.b What is the probability that at most 15 events occur in the
interval [ 0 , .9907 ] ?.
Welcome to International Journal of Engineering Research and Development (IJERD)
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journal publishing, how to publish research paper, Call For research paper, international journal, publishing a paper, IJERD, journal of science and technology, how to get a research paper published, publishing a paper, publishing of journal, publishing of research paper, reserach and review articles, IJERD Journal, How to publish your research paper, publish research paper, open access engineering journal, Engineering journal, Mathemetics journal, Physics journal, Chemistry journal, Computer Engineering, Computer Science journal, how to submit your paper, peer reviw journal, indexed journal, reserach and review articles, engineering journal, www.ijerd.com, research journals,
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Poisson Distribution, Poisson Process & Geometric Distribution
Poisson Distribution, Poisson Process & Geometric Distribution
Poisson Distribution, Poisson Process & Geometric Distribution
Poisson Distribution, Poisson Process & Geometric Distribution
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Visit statisticsassignmenthelp.com or email info@statisticsassignmenthelp.com.
You can also call on +1 678 648 4277 for any assistance with Statistics Assignments.
Please explain both Poisson and exponential distributions and the di.pdf
Please explain both Poisson and exponential distributions and the difference between them.
Please include extensive details for lifesaver.
Solution
The Poisson distribution - Introduction
The Poisson distribution is related to the exponential distribution. Suppose a certain event can
occur many times within a unit of time. Denote by x the total number of occurrences within a
unit of time. Suppose x is unknown (it is a random variable). If the time elapsed between two
successive occurrences of the event has an exponential distribution (and it is independent of
previous occurrences), then x has a Poisson distribution.
The Poisson distribution - Definition
The Poisson distribution is characterized as follows:
Definition_ Let x be a discrete random variable. Let its support Rx be the set of positive integer
numbers (the natural numbers and ):
Rx = Z+
For a Poisson process, hits occur at random independent of the past, but with a known long term
average rate of hits per unit time. The Poisson distribution would let us find the probability of
getting some particular number of hits.
Now, instead of looking at the number of hits, we look at the random variable L (for Lifetime),
the time you have to wait for the first hit.
The probability that the waiting time is more than a given time value is
P(L>t)=P(no hits in time t)=0e0!=et (by the Poisson distribution, where =t).
P(Lt)=1et (the cumulative distribution function). We can get the density function by taking the
derivative of this:
f(x)={et0fort0fort<0
Any random variable that has a density function like this is said to be exponentially distributed.
The relation between the Poisson distribution and the exponential distribution is summarized by
the following proposition:
Proposition_ X (the number of occurrences of an event within a unit of time) has a Poisson
distribution with parameter if and only if the time elapsed between two successive occurrences
of the event has an exponential distribution with parameter and it is independent of previous
occurrences..
The simple Poisson process is characterized by a constant rate at whi.pdf
The simple Poisson process is characterized by a constant rate at which events occur per unit
time. A generalization of this is to suppose that the probability of exactly one event occurring in
the interval [ t , t + t ] is ( t ) t + o ( t ) . It can then be shown that the number of events occurring
during an interval [ t 1 , t 2 ] has a Poisson distribution with parameter = t 2 t 1 ( t ) d t The
occurrence of events over time in this situation is called a nonhomogeneous Poisson process. The
article "Inference Based on Retrospective Ascertainment," J. Amer. Stat. Assoc., 1989: 360-372,
considers the intensity function ( t ) = exp ( + t ) as appropriate for events involving transmission
of HIV (the AIDS virus) via blood transfusion. Suppose that a = 2 and b = .6 (close to values
suggested in the paper), with time in years. 2.a What is the expected number of events in the
interval [ 0 , 4 ] ? In [ 2 , 6 ] ? 2.b What is the probability that at most 15 events occur in the
interval [ 0 , .9907 ] ?.
Welcome to International Journal of Engineering Research and Development (IJERD)
call for paper 2012, hard copy of journal, research paper publishing, where to publish research paper,
journal publishing, how to publish research paper, Call For research paper, international journal, publishing a paper, IJERD, journal of science and technology, how to get a research paper published, publishing a paper, publishing of journal, publishing of research paper, reserach and review articles, IJERD Journal, How to publish your research paper, publish research paper, open access engineering journal, Engineering journal, Mathemetics journal, Physics journal, Chemistry journal, Computer Engineering, Computer Science journal, how to submit your paper, peer reviw journal, indexed journal, reserach and review articles, engineering journal, www.ijerd.com, research journals,
yahoo journals, bing journals, International Journal of Engineering Research and Development, google journals, hard copy of journal
Poisson Distribution, Poisson Process & Geometric Distribution
Poisson Distribution, Poisson Process & Geometric Distribution
Poisson Distribution, Poisson Process & Geometric Distribution
Poisson Distribution, Poisson Process & Geometric Distribution
Castiglianos MethodSolutionI cant upload the image due to.pdf
Carroll Company sells all its output at 25 percent above cost. Pacific Corporation purchases all
its inventory from Carroll. Selected information on the operations of the companies over the past
three years is as follows:
Pacific acquired 60 percent of the ownership of Carroll on January 1, 20X1, at underlying book
value.
Compute consolidated net income and income assigned to the controlling interest for 20X2,
20X3, and 20X4.
Carroll Company sells all its output at 25 percent above cost. Pacific Corporation purchases all
its inventory from Carroll. Selected information on the operations of the companies over the
past three years is as follows:
Solution
Cosolidated Income 20x2 20x3 20x4 Operating Income(Pacific) 160000 249000 315000
Operating Income(Carroll) 109000 99000 169000 Total 269000 348000 484000 Unrealised
profit on ending/op. Inv. 70700-(70700/125*100) -14140 14140 106200-
(106200/125*100) -21240 21240 139200-(139200/125*100) -27840 Cosolidated net
Income 254860 340900 477400 Cosolidated net Income 254860 340900 477400
Less: Income assigned to non-cont.int. (109000-14140)*40% 37944 (99000+14140-
21240)*40% 36760 (169000+21240-27840)*40% 64960 Income assigned to
Cont.int. 216916 304140 412440.
Cars coming along Magnolia Street come to a fork in the road and hav.pdf
Capital markets consist of securities having maturities greater than one year. true or false
Solution
True.
In capital markets, long term securities are traded. In finance, long term refers to a period greater
than 1 year. Therefore, capital markets consists of securities having maturities greater than one
year. These securities include. Preferred stocks, common stocks, long term bonds etc..
Case Study 4.2Investing in Cardiology Services “It’s time for us t.pdf
Cardinality Proof Problems Cardinality Proof Problems (1) Suppose f: S right arrow T, and that f
is one to one. Prove that S ~ f(S). (2) Show that R~(a,b) for every a
Solution
f is a function from S to T
f is given to be one to one
i.e. each element in f has a unique image in T and also if
f(a) = f(b) then a = b
Hence if n is the no of elements in S,
f(S) will have image for each of the n element. Hence
n[f(S)] = n(S)
S~f(S)
-------------------------------------------------------------------------------------------------------
2)
b) Consider the function f(x) = sinx, where 0<=x<=pi/2
sin 0 =0 and sin pi/2 =1
Also sinx is one to one
Hence (0,pi/2)~(0,1)
c) Consider the interval (-pi/2, pi/2) as domain for the function
f(x) = tan x
As from -pi/2 to 0 tan is negative, we see that f is one to one.
Hence f(x) = (-tan pi/2, tanpi/2)
= (-infinity, infinity)
Or (-pi/2, pi/2)~R.
Cars arrive at a toll booth at a mean rate of 7 cars every 10 minute.pdf
Capital Experts limited (CEL) specializes in taking underperforming companies to a higher level
of performance.CEL\'s capital structure at December 31,2013, included 28,000 shares of $2.25
preferred stock and 225,000 shares of common stock.During 2014,CEL issued common stock
and ended that year with 243,000 shares of common stockoutstanding.Average common shares
outatanding during 2014 were 235,000.Income from continiing operations during 2014 was
$485,000.The company discontinued a segment of the business at a loss of $89,000, and an
exraordinary gain of $94,000.All amounts after income tax.Assume the number of preferred
stock did not change during 2014.
1.Compute CEL\'s earnig per share .Start with the income from continuing operations
2.Analyst believe CEL can earn its current level of income for the indefinite future..Estimate the
market price of a share of CEL common stock at the investment capitalization rate of 9%,11%
and 13%.What estimte presumes an investment in CEL is the most risky.How can you tell
Solution
Since, the rate of Preferred Stock is not given. Hence,we are directly taking the Income from
Conntinuing Operations for Calculation of EPS.
CEL Earning Per Share = 485,000 / 235000
= 2.06.
Case Study 2 Phillip Morris V. the market. Table 10.10 (See Below) .pdf
Card Selection: Thee cards from a standad deck of 52 playing cards ae successively drawn at
random withour eplacement. Find the pobability that (a) all three cads ae kings and (b)all three
cards are hearts.
Please explain****
Solution
a)
(4/52)*(3/51)*(2/50) = 1/5525 0.00018
b)
(13/52)*(12/51)*(11/50) = 11/850 0.0129.
Case Project 12-2 Devising an AD DS Design with RODC, AD RMS, and A.pdf
Carbon Factors manufactures emission detectors and employs a job-order costing system. During
June, the company’s transactions and accounts included the following
Raw materials purchased $265,000
Direct materials used in production 262,000
Raw materials inventory, beginning 4,200
Corporate administrative costs 21,400
Selling expenses 18,500
Sales 334,000
Total manufacturing overhead applied 39,200
Total manufacturing overhead incurred 38,100
Finished goods, beginning 17,200
Work in process inventory, beginning 13,700
Work in process inventory, ending 15,600
Direct labor cost incurred 48,000
Finished goods, ending 16,300
How much is cost of goods manufactured for June? Show all your computations.
Solution
Direct materials used in production $ 262,000 Direct labor cost incurred $ 48,000
Total manufacturing overhead incurred $ 38,100 Add: Work in process inventory,
beginning $ 13,700 Less: Work in process inventory, ending $ 15,600 Cost ofgoods
manufactured $ 346,200.
Case can be found at following linkColonial Broadcasting Company - .pdf
Car Fuel Consumption Ratings Listed below are combined city-highway fuel consumption
ratings (in miles/gal) for different cars measured under the old rating system and a new rating
system introduced in 2008 (based on data from USA Today). The new rating were implemented
in response to complaints that the old ratings were too high. Use a 0.01 significance level to test
the claim the old ratings are higher than the new ratings.
Old rating 16 18 27 17 33 28 33 18 24 19 18 27 22 18 20 29 19 27 20 21
New rating 15 16 24 15 29 25 29 16 22 17 16 24 20 16 18 26 17 25 18 19
Solution
Old rating: n1=20, xbar1=22.7, s1=5.37
New rating: n2=20, xbar2=20.35, s2= 4.72
The test hypothesis is
Ho:1=2
Ha:1>2
The test statistic is
t=(xbar1-xbar2)/[s1^2/n1 + s2^2/n2]
=(22.7-20.35)/sqrt(5.37^2/20 + 4.72^2/20)
= 1.47
Given a=0.01, the critical value is |t(0.01, df=n1+n2-2=38)|=2.43 (check student t table)
Since t=1.47 is less than 2.43, we do not reject Ho..
Can u use the definition of convergence to prove that (5n+17)(2n) c.pdf
Can u use the definition of convergence to prove that (5n+17)/(2n) converges..
Solution
(5n+17)/(2n) I\'m going to claim that the sequence converges to 5/2. Suppose we
have e > 0. We need an N such that: n > N ===> |(5n + 17) / (2n) - 5/2| < e Let\'s work
backwards from |(5n + 17) / (2n) - 5/2| < e, so that each step implies the previous step: |(5n + 17)
/ (2n) - 5/2| < e |(5n + 17) / n - 5| < 2e |(5n + 17) / n - 5n / n| < 2e |17 / n| < 2e 17 / n < 2e ... (since
n > 0) n > 17 / (2e) so it converges over n > 17 / (2e).
can u make more sentence I do not want to read. I need expain abou.pdf
can u make more sentence?? I do not want to read. I need expain about these.....
Solution
Bed bugs, have resurged to quickly become a very important pest of the 21st century, as they
invade numerous urban areas. Our society has had a 30+ year \"vacation\" from this pest, when
bed bugs were almost completely removed from North America as a result of mass treatments
with older types of insecticides (DDT, Chlordane, Lindane)
Bed bugs are parasites that feed on the blood of people, using these blood meals to grow and
reproduce. They do not distinguish between dirty or clean homes and all people are vulnerable to
infestations in their homes. Bed bugs are also capable of feeding on animals, including dogs,
cats, and other pets.
Bed bugs typically cluster together in favorable harborage areas. However, some bed bugs will
live by themselves, away from the rest of an infestation. The best way to determine if you have
an infestation is to look for bed bugs where you sleep (or rest). In bedrooms, look particularly on
and around boxsprings, mattresses, bed frames, tufts, folds, and buttons on mattresses, furniture,
such as desks and chairs, behind wall paper, clocks and pictures, cracks in wood floors, and
under the edge of carpet. If you travel also check your luggage, where you typically set it down
when you enter your home and where you store it.
While bed bugs are most commonly found in bedrooms, infestations can also occur in other
rooms, including: bathrooms; living rooms; and laundry rooms. Dark blood spots on sheets and
bedding may indicate bed bug feeding. Bed bugs will sometimes excrete while they are feeding.
This results in darker (dark reddish or brownish) spots or smears found on bed sheets,
pillowcases and mattresses, or in nearby areas. This material is composed mostly of digested
blood and the stains are very characteristic. In severe infestations, bed bugs may be more
noticeable. The accumulation of bugs, cast skins and fecal spots will be very apparent upon close
inspection.
Remember these insects are small and very flat, so they can move into very tight corners and
cracks. In some infestations, they were found under picture frames, in between the glass and the
frame and behind electrical outlet and other wall plates! Be prepared to do some close inspection
and when in doubt, you should consider having the inspection done by a pest control service
provider.
You can use your washing machine and dryer to kill bed bugs that may be infesting clothes.
Clothes laundered in hot water and/or dried in temperatures hotter than 122.
can u help me or should u kall miSolution .pdf
can u help me or should u kall mi??
Solution
Mean: total of the added numbers divided by how many numbers there were
Median: list them from smallest to greatest --> find the middle number (if there are an even
amount of numbers, then add the 2 and divide by 2) Mode: the number listed the most Range: the
difference between the highest and lowest number.
Can the Fed Prevent U.S. RecessionsSolutionThe Federal Reserv.pdf
Can the Fed Prevent U.S. Recessions?
Solution
The Federal Reserve makes decisions based on great academic economists and veteran bank and
corporate executives. Politics is minimal, at least compared to most other government decisions.
Tremendous resources support the decisions, with great economists on staff, massive data banks
and access to outside experts. You would think that the Fed can prevent recessions. You would
be wrong.
The Fed just released minutes from the policy meetings held in 2008, as they do regularly with a
five-year time lag. The minutes depict a massive failure of the technocratic ideal of putting some
smart people in the room and letting them run things.
Chairman Ben Bernanke is quoted as saying that he is “confounded and muddled.” The Fed
eased early in 2008 and patted themselves on their backs. In March, after the Bear Stearns
rescue, Janet Yellen said that “the likelihood of a severe financial panic has diminished.” That
could actually be accurate, if she meant that the likelihood was going from 99 percent to 98
percent.
Tim Geithner, then president of the New York Fed, said in March 2008, “It is very hard to make
the judgment now that the financial system as a whole or the banking system as a whole is
undercapitalized. Some people are out there saying that . . . . Based on everything we know
today, if you look at very pessimistic estimates of the scale of losses across the financial system,
on average relative to capital, they do not justify that concern.” He further suggested that talk
about the risks within the financial system was harmful, clearly favoring a “trust us” message to
the public. This discussion happened well before Lehman declared bankruptcy and credit
markets melted down.
However, the people making decisions at the Fed (the Board of Governors plus the 12 regional
bank presidents, four of whom vote at any one time) are neither stupid nor ignorant. They are all
talented, and they know the issues.
(On a personal note, my lasting memory of the Fed Board is that I was congratulating myself for
having been invited to meet with them, and then Alan Greenspan asked the toughest question I
had fielded since my doctoral dissertation. It was also the most critical question for the economy
at the time. And I had to confess that I didn’t know the answer.).
Can SS ever have a value less than zeroSolutionNo, they can n.pdf
Can SS ever have a value less than zero?
Solution
No, they can never have a value less than 0 for all S = R, where R={1,2,3,4,.......} U {-1,-2,-3,-
4,......}
so, SS is always negative for any real number. Positive and negative doesnt matter. As long as S
is not an imaginary number like (-3). In which case the answer would be -3.....
Can someone show me how to prove this I can easily use a DFA bu.pdf
Can someone show me how to prove this? I can easily use a DFA but i need it more general.
Prove that if a language L contains finitely many elements then it is regular. Can someone show
me how to prove this? I can easily use a DFA but i need it more general.
Solution
Buy the basic definition of regularity of a Language we mean that there is some mechanish buy
which we can distinguish the member of a language from the non member in deterministic way.
To handle a language containing infinite number of elements we use DFA\'s etc.. But if we know
that the elements are finite we can easily check the membership of a language buy just checking
will all the members of the language. In this way member ship is guarenteed to be find if the
elements are finite.
So if a language contains a finite amount of elements then it is Regular..
Can someone please help me with this question. Suppose that Xn, n = .pdf
Can someone please help me with this question. Suppose that Xn, n = 1,2,3,... is a Bernoulli
process with parameter p, i.e. P(Xn = 1) = p for all n. Suppose that Wn, n = 1,2,3,... is another
Bernoulli process with parameter s. We assume that the two random processes are completely
independent of each other (that is, any collection of samples of Xn is independent from any
collection of Wn ). We form a new random process Yn, n = 1.2,3,... by defining Yn = Xn Wn,
where the operation denotes mod 2 addition. This setup can be thought of as taking an input
digital signal Xn and sending it across a binary channel to a receiver. The binary channel can
cause an error between the input Xn and output Yn with probability s. Such a communication
channel is called an additive noise channel because the output Is the input plus an independent
noise process (where plus here means mod 2). We know that Yn is a Bernoulli process. Find its
parameter, i.e. compute P(Yn = 1) If the signal 0 was sent, what is the probability that a 0 is
received? a 1 is received? Find the conditional pmf Find an expression for the probability of
error, i.e. P(Yn Xn).
Solution
(a)P(Y_n=1)= P(X_n=1,W_n=0)+P(X_n=0,W_n=1) = p(1-s)+s(1-p) = p+s-2ps
(b)if signal 0 was sent,then the probability that 0 is received=p(X_n=0,W_n=0)
= (1-p) (1-s)
prob that a 1 is received=P(X_n=1,W_n=1) = ps
(d)P(Y_n neq X_n) = P(X_n=1,W_n=1)+P(X_n=0,W_n=1) = ps+(1-p)s = s.
Can someone please guide me through this homework problem I will ra.pdf
Can someone please guide me through this homework problem? I will rate immediately. The
campus recruiter for an international conglomerate classifies the large number of students she
interviews into three categories - the lower quarter, the middle half, and the upper quarter. If she
meets six students on a given morning, what is the probability that they will be evenly divided
among the three categories? What is the marginal probability that exactly two will belong to the
middle half?
Solution
probability that they will be evenly divided among the three categories =
(2/6)*(2/6)*(2/6) = 1/27 the marginal probability that exactly two will belong to the middle half
= 2/6 = 1/3.
Can someone explain to me where the 850 came fromThe U.S. investm.pdf
Can someone explain to me where the 850 came from?
The U.S. investment is denominated in dollars; pays 3 percent (i)
The German investment in euros; pays 2 percent (i*)
In one year, $1,000 invested in US will pay $1,000 x (1+0.03), or $1,030
The return on German CD depends on the fixed interest rate and exchange rate a year from now
Solution
850 is equal to 1030/1.2
When US$ is converted to Euros..
Can someone help me with this code When I run it, it stops after th.pdf
Can someone help me with this code? When I run it, it stops after the output
Enter Student 1 Details
Name
I would just like to know what is incorrect with my code & how I can fix it.
Here is my code:
package studentclient;
import java.util.Scanner;
public class StudentClient {
public static void main(String[] args) {
Student s1;
Student s2;
s1 = new Student(\"Lisa\", \"111-11-111\", 3.0);
s2 = new Student(\"Jacob\", \"777-77-777\", 4.0);
System.out.println(\"Enter Student 1 Details\");
System.out.println(\"Name\");
Scanner sc=new Scanner(System.in);
String Name = sc.next();
System.out.println(\"Social Security number\");
String Ssn = sc.next();
System.out.println(\"GPA\");
double gpa = sc.nextDouble();
System.out.println(\"Enter Student 2 Details\");
System.out.println(\"Name\");
Name=sc.next();
System.out.println(\"social security number\");
Ssn=sc.next();
System.out.println(\"GPA\");
gpa=sc.nextDouble();
System.out.println(\"Student 1 deatils\");
System.out.println(\"name\"+s1.getName());
System.out.println(\"Social Secuirty Number:\"+s1.getSsn());
System.out.println(\"GPA:\"+s1.getGpa());
System.out.println(\"Student 2 details\");
System.out.println(\"name\"+s2.getName());
System.out.println(\"Social Security Number:\"+s2.getSsn());
System.out.println(\"GPA:\"+s2.getGpa());
if(s1 ==(s2))
System.out.println(\"Student details are equal\");
else
System.out.println(\"Student details are not equal\");
s2 = new Student(\"Jacob\", \"000-00-000\", 4.0);
System.out.println(\"Enter new details for Student 2\");
System.out.println(\"Name:\");
Name=sc.next();
s2.setName();
System.out.println(\"Social Security number\");
Ssn=sc.next();
s2.setSsn(Ssn);
System.out.println(\"GPA\");
gpa=sc.nextDouble();
s2.setGpa(gpa);
if(s1 ==(s2))
System.out.println(\"Student details are equal\");
else
System.out.println(\"Student details are not equal\");
}
}
package studentclient;
class Student {
String name;
String social_security_number;
double GPA;
public Student( String newName, String newSsn, double newGpa )
{
this.name=newName;
this.social_security_number=newSsn;
this.GPA=newGpa;
}
public String getName( )
{
return this.name;
}
public void setName( String newName )
{
this.name=newName;
}
public String getSsn( )
{
return this.social_security_number;
}
public void setSsn( String newSsn )
{
// Your code here
this.social_security_number=newSsn;
}
public double getGpa( )
{
return this.GPA;
}
public void setGpa( double newGpa )
{
if(newGpa<0 || newGpa>4)
System.out.println(\"Error! Gpa value should be in the range(0 to 4 ) only.\");
else
this.GPA=newGpa;
}
@Override
public String toString( )
{
return (\"name:\"+this.name+\" Social Security number:\"+this.social_security_number+ \"
GPA:\"+this.GPA);
}
public boolean equals( Student S )
{
boolean ans=false;
if(this.name.equals(S.name) && this.social_security_number.equals(S.social_security_number)
&&this.GPA==S.GPA)
{
ans=true;
}
return ans;
}
void setName() {
throw new UnsupportedOperationException(\"Not supported yet..
Can someone explain this whole problem to me in detailed steps I un.pdf
Can someone explain this whole problem to me in detailed steps? I understand everything up
until line 5 to 6... I don\'t understand how the i is taken out of the numerator and how an i
randomly appears in the denominator. Clarification/more detailed steps from lines 4 and on
would be greatly appreciated.
Solution
i appears in denominator as for e^ix-e^-ix gives 2i*sinx so he divided by 2i for
cancelling in 4th step he multiplied denominator with i and taken common - sign out in 5th step
rationaliging has been done in 6th step he taken 5 common and multiplyed denominator with 2
and on considering 2i common in numerator he taken 2i and multiplied and divided with i for
that whole term 2i in th 6th step so that in numerator 2i becomes -2 and denominator 2 becomes
2i in 7th step he used e^ix and e^-ix values as they are cosx+isinx and cosx-isinx respectively
and bye substitution and calculation in 6th step we got 7th step simplified answer.
Can someone please explain the gauss theorem on the field of complex.pdf
Can someone please explain the gauss theorem on the field of complex numbers?
Solution
Answer: Gauss gave the first clear exposition of complex numbers and of the investigation of
functions of complex variables in the early 19th Century. Although imaginary numbers involving
i(the imaginary unit, equal to the square root of -1) had been used since as early as the 16th
Century to solve equations that could not be solved in any other way, and despite Euler.
Can someone please explain these to me Let T R 3 rightarrow R 4 be .pdf
Can someone please explain these to me? Let T R 3 rightarrow R 4 be a linear transformation
such that the only solution to T(0) = 0 is the trivial solution.
Solution
a) T is one-to-one beacause there is only 1 trivial soution available.
b) no because there is no other information given.
CLASS 11 CBSE B.St Project AIDS TO TRADE - INSURANCE
Class 11 CBSE Business Studies Project ( AIDS TO TRADE - INSURANCE)
The Roman Empire A Historical Colossus.pdf
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
More Related Content
More from Amansupan
Castiglianos MethodSolutionI cant upload the image due to.pdf
Carroll Company sells all its output at 25 percent above cost. Pacific Corporation purchases all
its inventory from Carroll. Selected information on the operations of the companies over the past
three years is as follows:
Pacific acquired 60 percent of the ownership of Carroll on January 1, 20X1, at underlying book
value.
Compute consolidated net income and income assigned to the controlling interest for 20X2,
20X3, and 20X4.
Carroll Company sells all its output at 25 percent above cost. Pacific Corporation purchases all
its inventory from Carroll. Selected information on the operations of the companies over the
past three years is as follows:
Solution
Cosolidated Income 20x2 20x3 20x4 Operating Income(Pacific) 160000 249000 315000
Operating Income(Carroll) 109000 99000 169000 Total 269000 348000 484000 Unrealised
profit on ending/op. Inv. 70700-(70700/125*100) -14140 14140 106200-
(106200/125*100) -21240 21240 139200-(139200/125*100) -27840 Cosolidated net
Income 254860 340900 477400 Cosolidated net Income 254860 340900 477400
Less: Income assigned to non-cont.int. (109000-14140)*40% 37944 (99000+14140-
21240)*40% 36760 (169000+21240-27840)*40% 64960 Income assigned to
Cont.int. 216916 304140 412440.
Cars coming along Magnolia Street come to a fork in the road and hav.pdf
Capital markets consist of securities having maturities greater than one year. true or false
Solution
True.
In capital markets, long term securities are traded. In finance, long term refers to a period greater
than 1 year. Therefore, capital markets consists of securities having maturities greater than one
year. These securities include. Preferred stocks, common stocks, long term bonds etc..
Case Study 4.2Investing in Cardiology Services “It’s time for us t.pdf
Cardinality Proof Problems Cardinality Proof Problems (1) Suppose f: S right arrow T, and that f
is one to one. Prove that S ~ f(S). (2) Show that R~(a,b) for every a
Solution
f is a function from S to T
f is given to be one to one
i.e. each element in f has a unique image in T and also if
f(a) = f(b) then a = b
Hence if n is the no of elements in S,
f(S) will have image for each of the n element. Hence
n[f(S)] = n(S)
S~f(S)
-------------------------------------------------------------------------------------------------------
2)
b) Consider the function f(x) = sinx, where 0<=x<=pi/2
sin 0 =0 and sin pi/2 =1
Also sinx is one to one
Hence (0,pi/2)~(0,1)
c) Consider the interval (-pi/2, pi/2) as domain for the function
f(x) = tan x
As from -pi/2 to 0 tan is negative, we see that f is one to one.
Hence f(x) = (-tan pi/2, tanpi/2)
= (-infinity, infinity)
Or (-pi/2, pi/2)~R.
Cars arrive at a toll booth at a mean rate of 7 cars every 10 minute.pdf
Capital Experts limited (CEL) specializes in taking underperforming companies to a higher level
of performance.CEL\'s capital structure at December 31,2013, included 28,000 shares of $2.25
preferred stock and 225,000 shares of common stock.During 2014,CEL issued common stock
and ended that year with 243,000 shares of common stockoutstanding.Average common shares
outatanding during 2014 were 235,000.Income from continiing operations during 2014 was
$485,000.The company discontinued a segment of the business at a loss of $89,000, and an
exraordinary gain of $94,000.All amounts after income tax.Assume the number of preferred
stock did not change during 2014.
1.Compute CEL\'s earnig per share .Start with the income from continuing operations
2.Analyst believe CEL can earn its current level of income for the indefinite future..Estimate the
market price of a share of CEL common stock at the investment capitalization rate of 9%,11%
and 13%.What estimte presumes an investment in CEL is the most risky.How can you tell
Solution
Since, the rate of Preferred Stock is not given. Hence,we are directly taking the Income from
Conntinuing Operations for Calculation of EPS.
CEL Earning Per Share = 485,000 / 235000
= 2.06.
Case Study 2 Phillip Morris V. the market. Table 10.10 (See Below) .pdf
Card Selection: Thee cards from a standad deck of 52 playing cards ae successively drawn at
random withour eplacement. Find the pobability that (a) all three cads ae kings and (b)all three
cards are hearts.
Please explain****
Solution
a)
(4/52)*(3/51)*(2/50) = 1/5525 0.00018
b)
(13/52)*(12/51)*(11/50) = 11/850 0.0129.
Case Project 12-2 Devising an AD DS Design with RODC, AD RMS, and A.pdf
Carbon Factors manufactures emission detectors and employs a job-order costing system. During
June, the company’s transactions and accounts included the following
Raw materials purchased $265,000
Direct materials used in production 262,000
Raw materials inventory, beginning 4,200
Corporate administrative costs 21,400
Selling expenses 18,500
Sales 334,000
Total manufacturing overhead applied 39,200
Total manufacturing overhead incurred 38,100
Finished goods, beginning 17,200
Work in process inventory, beginning 13,700
Work in process inventory, ending 15,600
Direct labor cost incurred 48,000
Finished goods, ending 16,300
How much is cost of goods manufactured for June? Show all your computations.
Solution
Direct materials used in production $ 262,000 Direct labor cost incurred $ 48,000
Total manufacturing overhead incurred $ 38,100 Add: Work in process inventory,
beginning $ 13,700 Less: Work in process inventory, ending $ 15,600 Cost ofgoods
manufactured $ 346,200.
Case can be found at following linkColonial Broadcasting Company - .pdf
Car Fuel Consumption Ratings Listed below are combined city-highway fuel consumption
ratings (in miles/gal) for different cars measured under the old rating system and a new rating
system introduced in 2008 (based on data from USA Today). The new rating were implemented
in response to complaints that the old ratings were too high. Use a 0.01 significance level to test
the claim the old ratings are higher than the new ratings.
Old rating 16 18 27 17 33 28 33 18 24 19 18 27 22 18 20 29 19 27 20 21
New rating 15 16 24 15 29 25 29 16 22 17 16 24 20 16 18 26 17 25 18 19
Solution
Old rating: n1=20, xbar1=22.7, s1=5.37
New rating: n2=20, xbar2=20.35, s2= 4.72
The test hypothesis is
Ho:1=2
Ha:1>2
The test statistic is
t=(xbar1-xbar2)/[s1^2/n1 + s2^2/n2]
=(22.7-20.35)/sqrt(5.37^2/20 + 4.72^2/20)
= 1.47
Given a=0.01, the critical value is |t(0.01, df=n1+n2-2=38)|=2.43 (check student t table)
Since t=1.47 is less than 2.43, we do not reject Ho..
Can u use the definition of convergence to prove that (5n+17)(2n) c.pdf
Can u use the definition of convergence to prove that (5n+17)/(2n) converges..
Solution
(5n+17)/(2n) I\'m going to claim that the sequence converges to 5/2. Suppose we
have e > 0. We need an N such that: n > N ===> |(5n + 17) / (2n) - 5/2| < e Let\'s work
backwards from |(5n + 17) / (2n) - 5/2| < e, so that each step implies the previous step: |(5n + 17)
/ (2n) - 5/2| < e |(5n + 17) / n - 5| < 2e |(5n + 17) / n - 5n / n| < 2e |17 / n| < 2e 17 / n < 2e ... (since
n > 0) n > 17 / (2e) so it converges over n > 17 / (2e).
can u make more sentence I do not want to read. I need expain abou.pdf
can u make more sentence?? I do not want to read. I need expain about these.....
Solution
Bed bugs, have resurged to quickly become a very important pest of the 21st century, as they
invade numerous urban areas. Our society has had a 30+ year \"vacation\" from this pest, when
bed bugs were almost completely removed from North America as a result of mass treatments
with older types of insecticides (DDT, Chlordane, Lindane)
Bed bugs are parasites that feed on the blood of people, using these blood meals to grow and
reproduce. They do not distinguish between dirty or clean homes and all people are vulnerable to
infestations in their homes. Bed bugs are also capable of feeding on animals, including dogs,
cats, and other pets.
Bed bugs typically cluster together in favorable harborage areas. However, some bed bugs will
live by themselves, away from the rest of an infestation. The best way to determine if you have
an infestation is to look for bed bugs where you sleep (or rest). In bedrooms, look particularly on
and around boxsprings, mattresses, bed frames, tufts, folds, and buttons on mattresses, furniture,
such as desks and chairs, behind wall paper, clocks and pictures, cracks in wood floors, and
under the edge of carpet. If you travel also check your luggage, where you typically set it down
when you enter your home and where you store it.
While bed bugs are most commonly found in bedrooms, infestations can also occur in other
rooms, including: bathrooms; living rooms; and laundry rooms. Dark blood spots on sheets and
bedding may indicate bed bug feeding. Bed bugs will sometimes excrete while they are feeding.
This results in darker (dark reddish or brownish) spots or smears found on bed sheets,
pillowcases and mattresses, or in nearby areas. This material is composed mostly of digested
blood and the stains are very characteristic. In severe infestations, bed bugs may be more
noticeable. The accumulation of bugs, cast skins and fecal spots will be very apparent upon close
inspection.
Remember these insects are small and very flat, so they can move into very tight corners and
cracks. In some infestations, they were found under picture frames, in between the glass and the
frame and behind electrical outlet and other wall plates! Be prepared to do some close inspection
and when in doubt, you should consider having the inspection done by a pest control service
provider.
You can use your washing machine and dryer to kill bed bugs that may be infesting clothes.
Clothes laundered in hot water and/or dried in temperatures hotter than 122.
can u help me or should u kall miSolution .pdf
can u help me or should u kall mi??
Solution
Mean: total of the added numbers divided by how many numbers there were
Median: list them from smallest to greatest --> find the middle number (if there are an even
amount of numbers, then add the 2 and divide by 2) Mode: the number listed the most Range: the
difference between the highest and lowest number.
Can the Fed Prevent U.S. RecessionsSolutionThe Federal Reserv.pdf
Can the Fed Prevent U.S. Recessions?
Solution
The Federal Reserve makes decisions based on great academic economists and veteran bank and
corporate executives. Politics is minimal, at least compared to most other government decisions.
Tremendous resources support the decisions, with great economists on staff, massive data banks
and access to outside experts. You would think that the Fed can prevent recessions. You would
be wrong.
The Fed just released minutes from the policy meetings held in 2008, as they do regularly with a
five-year time lag. The minutes depict a massive failure of the technocratic ideal of putting some
smart people in the room and letting them run things.
Chairman Ben Bernanke is quoted as saying that he is “confounded and muddled.” The Fed
eased early in 2008 and patted themselves on their backs. In March, after the Bear Stearns
rescue, Janet Yellen said that “the likelihood of a severe financial panic has diminished.” That
could actually be accurate, if she meant that the likelihood was going from 99 percent to 98
percent.
Tim Geithner, then president of the New York Fed, said in March 2008, “It is very hard to make
the judgment now that the financial system as a whole or the banking system as a whole is
undercapitalized. Some people are out there saying that . . . . Based on everything we know
today, if you look at very pessimistic estimates of the scale of losses across the financial system,
on average relative to capital, they do not justify that concern.” He further suggested that talk
about the risks within the financial system was harmful, clearly favoring a “trust us” message to
the public. This discussion happened well before Lehman declared bankruptcy and credit
markets melted down.
However, the people making decisions at the Fed (the Board of Governors plus the 12 regional
bank presidents, four of whom vote at any one time) are neither stupid nor ignorant. They are all
talented, and they know the issues.
(On a personal note, my lasting memory of the Fed Board is that I was congratulating myself for
having been invited to meet with them, and then Alan Greenspan asked the toughest question I
had fielded since my doctoral dissertation. It was also the most critical question for the economy
at the time. And I had to confess that I didn’t know the answer.).
Can SS ever have a value less than zeroSolutionNo, they can n.pdf
Can SS ever have a value less than zero?
Solution
No, they can never have a value less than 0 for all S = R, where R={1,2,3,4,.......} U {-1,-2,-3,-
4,......}
so, SS is always negative for any real number. Positive and negative doesnt matter. As long as S
is not an imaginary number like (-3). In which case the answer would be -3.....
Can someone show me how to prove this I can easily use a DFA bu.pdf
Can someone show me how to prove this? I can easily use a DFA but i need it more general.
Prove that if a language L contains finitely many elements then it is regular. Can someone show
me how to prove this? I can easily use a DFA but i need it more general.
Solution
Buy the basic definition of regularity of a Language we mean that there is some mechanish buy
which we can distinguish the member of a language from the non member in deterministic way.
To handle a language containing infinite number of elements we use DFA\'s etc.. But if we know
that the elements are finite we can easily check the membership of a language buy just checking
will all the members of the language. In this way member ship is guarenteed to be find if the
elements are finite.
So if a language contains a finite amount of elements then it is Regular..
Can someone please help me with this question. Suppose that Xn, n = .pdf
Can someone please help me with this question. Suppose that Xn, n = 1,2,3,... is a Bernoulli
process with parameter p, i.e. P(Xn = 1) = p for all n. Suppose that Wn, n = 1,2,3,... is another
Bernoulli process with parameter s. We assume that the two random processes are completely
independent of each other (that is, any collection of samples of Xn is independent from any
collection of Wn ). We form a new random process Yn, n = 1.2,3,... by defining Yn = Xn Wn,
where the operation denotes mod 2 addition. This setup can be thought of as taking an input
digital signal Xn and sending it across a binary channel to a receiver. The binary channel can
cause an error between the input Xn and output Yn with probability s. Such a communication
channel is called an additive noise channel because the output Is the input plus an independent
noise process (where plus here means mod 2). We know that Yn is a Bernoulli process. Find its
parameter, i.e. compute P(Yn = 1) If the signal 0 was sent, what is the probability that a 0 is
received? a 1 is received? Find the conditional pmf Find an expression for the probability of
error, i.e. P(Yn Xn).
Solution
(a)P(Y_n=1)= P(X_n=1,W_n=0)+P(X_n=0,W_n=1) = p(1-s)+s(1-p) = p+s-2ps
(b)if signal 0 was sent,then the probability that 0 is received=p(X_n=0,W_n=0)
= (1-p) (1-s)
prob that a 1 is received=P(X_n=1,W_n=1) = ps
(d)P(Y_n neq X_n) = P(X_n=1,W_n=1)+P(X_n=0,W_n=1) = ps+(1-p)s = s.
Can someone please guide me through this homework problem I will ra.pdf
Can someone please guide me through this homework problem? I will rate immediately. The
campus recruiter for an international conglomerate classifies the large number of students she
interviews into three categories - the lower quarter, the middle half, and the upper quarter. If she
meets six students on a given morning, what is the probability that they will be evenly divided
among the three categories? What is the marginal probability that exactly two will belong to the
middle half?
Solution
probability that they will be evenly divided among the three categories =
(2/6)*(2/6)*(2/6) = 1/27 the marginal probability that exactly two will belong to the middle half
= 2/6 = 1/3.
Can someone explain to me where the 850 came fromThe U.S. investm.pdf
Can someone explain to me where the 850 came from?
The U.S. investment is denominated in dollars; pays 3 percent (i)
The German investment in euros; pays 2 percent (i*)
In one year, $1,000 invested in US will pay $1,000 x (1+0.03), or $1,030
The return on German CD depends on the fixed interest rate and exchange rate a year from now
Solution
850 is equal to 1030/1.2
When US$ is converted to Euros..
Can someone help me with this code When I run it, it stops after th.pdf
Can someone help me with this code? When I run it, it stops after the output
Enter Student 1 Details
Name
I would just like to know what is incorrect with my code & how I can fix it.
Here is my code:
package studentclient;
import java.util.Scanner;
public class StudentClient {
public static void main(String[] args) {
Student s1;
Student s2;
s1 = new Student(\"Lisa\", \"111-11-111\", 3.0);
s2 = new Student(\"Jacob\", \"777-77-777\", 4.0);
System.out.println(\"Enter Student 1 Details\");
System.out.println(\"Name\");
Scanner sc=new Scanner(System.in);
String Name = sc.next();
System.out.println(\"Social Security number\");
String Ssn = sc.next();
System.out.println(\"GPA\");
double gpa = sc.nextDouble();
System.out.println(\"Enter Student 2 Details\");
System.out.println(\"Name\");
Name=sc.next();
System.out.println(\"social security number\");
Ssn=sc.next();
System.out.println(\"GPA\");
gpa=sc.nextDouble();
System.out.println(\"Student 1 deatils\");
System.out.println(\"name\"+s1.getName());
System.out.println(\"Social Secuirty Number:\"+s1.getSsn());
System.out.println(\"GPA:\"+s1.getGpa());
System.out.println(\"Student 2 details\");
System.out.println(\"name\"+s2.getName());
System.out.println(\"Social Security Number:\"+s2.getSsn());
System.out.println(\"GPA:\"+s2.getGpa());
if(s1 ==(s2))
System.out.println(\"Student details are equal\");
else
System.out.println(\"Student details are not equal\");
s2 = new Student(\"Jacob\", \"000-00-000\", 4.0);
System.out.println(\"Enter new details for Student 2\");
System.out.println(\"Name:\");
Name=sc.next();
s2.setName();
System.out.println(\"Social Security number\");
Ssn=sc.next();
s2.setSsn(Ssn);
System.out.println(\"GPA\");
gpa=sc.nextDouble();
s2.setGpa(gpa);
if(s1 ==(s2))
System.out.println(\"Student details are equal\");
else
System.out.println(\"Student details are not equal\");
}
}
package studentclient;
class Student {
String name;
String social_security_number;
double GPA;
public Student( String newName, String newSsn, double newGpa )
{
this.name=newName;
this.social_security_number=newSsn;
this.GPA=newGpa;
}
public String getName( )
{
return this.name;
}
public void setName( String newName )
{
this.name=newName;
}
public String getSsn( )
{
return this.social_security_number;
}
public void setSsn( String newSsn )
{
// Your code here
this.social_security_number=newSsn;
}
public double getGpa( )
{
return this.GPA;
}
public void setGpa( double newGpa )
{
if(newGpa<0 || newGpa>4)
System.out.println(\"Error! Gpa value should be in the range(0 to 4 ) only.\");
else
this.GPA=newGpa;
}
@Override
public String toString( )
{
return (\"name:\"+this.name+\" Social Security number:\"+this.social_security_number+ \"
GPA:\"+this.GPA);
}
public boolean equals( Student S )
{
boolean ans=false;
if(this.name.equals(S.name) && this.social_security_number.equals(S.social_security_number)
&&this.GPA==S.GPA)
{
ans=true;
}
return ans;
}
void setName() {
throw new UnsupportedOperationException(\"Not supported yet..
Can someone explain this whole problem to me in detailed steps I un.pdf
Can someone explain this whole problem to me in detailed steps? I understand everything up
until line 5 to 6... I don\'t understand how the i is taken out of the numerator and how an i
randomly appears in the denominator. Clarification/more detailed steps from lines 4 and on
would be greatly appreciated.
Solution
i appears in denominator as for e^ix-e^-ix gives 2i*sinx so he divided by 2i for
cancelling in 4th step he multiplied denominator with i and taken common - sign out in 5th step
rationaliging has been done in 6th step he taken 5 common and multiplyed denominator with 2
and on considering 2i common in numerator he taken 2i and multiplied and divided with i for
that whole term 2i in th 6th step so that in numerator 2i becomes -2 and denominator 2 becomes
2i in 7th step he used e^ix and e^-ix values as they are cosx+isinx and cosx-isinx respectively
and bye substitution and calculation in 6th step we got 7th step simplified answer.
Can someone please explain the gauss theorem on the field of complex.pdf
Can someone please explain the gauss theorem on the field of complex numbers?
Solution
Answer: Gauss gave the first clear exposition of complex numbers and of the investigation of
functions of complex variables in the early 19th Century. Although imaginary numbers involving
i(the imaginary unit, equal to the square root of -1) had been used since as early as the 16th
Century to solve equations that could not be solved in any other way, and despite Euler.
Can someone please explain these to me Let T R 3 rightarrow R 4 be .pdf
Can someone please explain these to me? Let T R 3 rightarrow R 4 be a linear transformation
such that the only solution to T(0) = 0 is the trivial solution.
Solution
a) T is one-to-one beacause there is only 1 trivial soution available.
b) no because there is no other information given.
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