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Question For Operators

Hermitian operator questions?

No, the product of Hermitian operators is not, in general, Hermitian. If you write * for the conjugate transpose operation (so that a Hermitian matrix M is one satisfying the condition M* = M) then there is a general law relating the operation * to products, of the following form:

(MN)* = N*M* holds for any M, N.

Note the order of multiplication on the right hand side.

If A and B are Hermitian, then, this means A* = A and B* = B, so one has

(AB)* = B*A* [by the above law with M = A, N = B]
= BA [since B* = B and A* = A].

So you see (AB)* = AB if and only if BA = AB. So a product of two Hermitian matrices is Hermitian if, and only if, the two matrices commute.

An extremely significant and useful theorem is that if two Hermitian matrices commute, they can be simultaneously diagonalized by a unitary matrix--- that is, if A and B are commuting Hermitian matrices, then there are diagonal matrices D and E (with real entries down the diagonal) and a unitary matrix U (that is, a matrix satisfying UU* = U*U = I, the identity matrix) with the property that A = U* D U and B = U* E U.

And, conversely, for any unitary matrix U you pick, and any real diagonal matrices D and E, the matrices U*DU and U*EU will be a commuting pair of Hermitian matrices. So this is the most general way to "construct" commuting pairs of Hermitian matrices: pick any unitary matrix U you like, and any diagonal real matrices D and E, and form A = U*DU and B = U*EU.

Why do 911 operators ask stupid questions?

If police can trace our phone calls when calling us why can't they just do that during an emergency to get an address. Instead they ask questions i mean instead of asking dumb questions they could ask if they have the right address...i mean you would think will all of this 'advanced' technology we have they would do that instead. It just really annoys me when i see incidents happen because the police and ambulance wasn't there in time and someone got hurt.

Math Question?

As Chief of Data Processing you are required to ensure that requests for data processing are completed on schedule. Each operator processes data for 7½ hours per day, and one operator can complete one request in 3¾ hours. How many operators would be needed to complete 50 requests in one day?

Which would be a tricky question about ‘operator =’ and ‘operator ==’ in C++ using variable types: int, float, char, and double?

There could be many but you answer all of them knowing and understanding several basic things:= is substitution operatorsubstitution operation RETURNS value that is a result of the substitution (int i=5; (i=i+1) expression returns 6)the same applies for shorthands ++i (pre-incrementation) and i+=5 BUT NOT for these ones i++ (post-incrementation) as the last one returns value from before incrementing== is one of comparison operators ‘equals’comparison operators return false or true onlyfalse may be casted implicitly to int (numeric) value of 0 and true will get value of 1numeric value 0 may be casted implicitly to bool value false while any other numeric value to true== as any other operator may be overloaded within a class and do whatever developer intends so you must be sensitive about comparing objectsyou must know if you comparing objects (variables) or their references (pointers) as comparing 5 and 7 has mathematical purpose but comparing where these two values (or variables) are placed in memory has maybe some other meaning but not arithmeticalwhen it comes to object, you must understand the difference between objects that are equal (== overloaded operators!) and the same (their addresses are equal or pointers to them are equal)I guess that’s it.

Nuclear engineer/worker or operator question?

There are a wide range of jobs and careers associated with nuclear power. The least experience would be clerical and admin positions requiring,. usually. a high school diploma and office training/skills. If you are interested in a craft level hourly job (mechanic, electrician etc) you would need HS and some apprentice training and experience. Operators usually require additional education AA degrees or naval training and extensive training specific to the plant as well as an NRC-issued license. Professional careers usually, but not always require a technical college degree in Engineering, physics, or environmental sciences (depending on your specific area of interest).

Bottom line the Nuclear industry is made up of a lot of varying skills and careers many the same as found in other industries. The atmosphere can be more demanding. The rigor (compliance with procedures and documentation of action) is usually greater.

One thing - be prepared to take regular drug tests and criminal and financial background checks,

What are the standard questions asked by 911 emergency operators?

It depends on the type of call and the dispatch center.  There are some centers where you read through a list of prompted questions through your cad.  My center doesn't have that.  We handle Police, medical, and fire at my dispatch centers so... locationcaller's info (call back number and name) what's happeningdescriptions of people, cars involved etcare weapons involved, what types of weapons if medical problems what symptoms, what medications are they onare they breathingIf there is a fire, where at the location is the fire, how big is the fire If it's a call with a violent dangerous person you have to talk the person through steps to get them to a safe place until officers arrive.

Why do 911 operators ask you questions about yourself when you're trying to report an emergency and likely don't want to get involved?

Firstly, if you get cut off, they need to get back to you.Then they need to understand the credibility of the report. Remember they don't know you and some people waste the emergency services time and resources with either fake or overstated reports.Rest assured that, if you have a critical situation, while they are talking to you they may have already dispatched vehicles in your direction. The additional questions help them assess the urgency, and if more vehicles or multiple services are required.They may ask about getting there (such as which entrance or is it on a high floor).They may also be able to give you direction that could help the situation before services arrive. They could save a life!

What are some interview questions regarding operators in Java?

For the Basics in java you can follow the official documentation of Oracles at : Lesson: Language BasicsSo for the operators you can go through the basics of Operators here:Operators (The Java™ Tutorials > Learning the Java Language > Language Basics)Java Operators TutorialThen, for the Interview questions and quizzes you can check these:Top 20 Basic Java Interview Programs on Increment Decrement operatorsJava Programming Questions and AnswersOperators - GeeksQuizJava Operator and Assignments Questions

Question about increment operators in java? AP Computer Science help?

There are two things to understand - the hierarchy and associativity of operators

Hierarchy means the order in which a particular operator would be solved in expression.
Associativity means whether an operator would be solved from left to right or right to left.


++x means pre-increment ie. first the value of x will be increased by 1 and then used in the expression
x++ means post-increment ie. first the value of will be used in the expression and then its value will be increased by 1

y-- means post decrement ie. first the value of y will be used and then its value decreased by 1
--y is pre-decrement and is reverse of y--

y+= is compound assignment operator which means y=y+..... ie. solve the right hand hand side expression using the current value of y and assign it back to y again. IT IS LAST ON THE HIERARCHY ON THE OPERATORS USED IN THESE EXPRESSIONS.

NOW , if all are independent expressions then,

1. x=4

2. x= 3

3. y=+=++x
= y=y+ ++x
= y= 3+5
= y=8

4. y += x--
= y=y+x--
= y=3+4
= y=7

5. z+=++x*y--
= z= z+ ++x * y--
= z= 5 + (5*3)
= z= 5+15
= z = 20

Hope that helps.

C++ question, testing overloaded operators for input/output?

I have two functions:

// output
std::ostream& operator<<(std::ostream&, const BigInt&);

// input
std::istream& operator>>(std::istream&, BigInt&);

that are in my BigInt class, BigInt has a private std::vector digits, with each part of the vector containing one digit of an int. std::cout is set up to print the contents and std::cin is set up to input contents into the vector. For my test program, my professor says instead of using cin and cout to/from the command prompt, I can input and output to a string then test with assertions...Now I know the input and output already works since I've tested it through the prompt, but how do I do this with strings? Thanks!