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Yes. The derivation is a bit hard to do on here, but it can be found in Physical Chemistry: A Molecular Approach by McQuarrie and Simon.
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How are negative numbers used in real life?
For example:If having cash is a positive number, having a debt is a negative number (you are worse of than if you simply don't have anything).Similarly, gaining a profit on a transaction is positive; losing money is a "negative profit". The same can be said for the mathematical expectation (expectation value) of any activity, bet, game, etc.Altitude above sea level can be called positive, below sea level, negative.
Write a real equation problem that you could answer by solving the equation -8 plus 60 28?
You have to give me a mathematical operator before 28 for me to correctly answer this question.
What is the domain of a absolute value function?
The domain can be anything you like, from the whole of the real numbers to just a single value.
What is the range of an absolute value function?
the range is a positive real number
Is absolute value of 12 is -12?
24
What is a Hermitian operator?
A Hermitian operator is any linear operator for which the following equality property holds: integral from minus infinity to infinity of (f(x)* A^g(x))dx=integral from minus infinity to infinity of (g(x)A*^f(x)*)dx, where A^ is the hermitian operator, * denotes the complex conjugate, and f(x) and g(x) are functions. The eigenvalues of hermitian operators are real and their eigenfunctions are orthonormal.
What is the definition of a Hermitian matrix?
Hermitian matrix defined:If a square matrix, A, is equal to its conjugate transpose, A†, then A is a Hermitian matrix.Notes:1. The main diagonal elements of a Hermitian matrix must be real.2. The cross elements of a Hermitian matrix are complex numbers having equal real part values, and equal-in-magnitude-but-opposite-in-sign imaginary parts.
What is the definition of a skew-Hermitian matrix?
Skew-Hermitian matrix defined:If the conjugate transpose, A†, of a square matrix, A, is equal to its negative, -A, then A is a skew-Hermitian matrix.Notes:1. The main diagonal elements of a skew-Hermitian matrix must be purely imaginary, including zero.2. The cross elements of a skew-Hermitian matrix are complex numbers having equal imaginary part values, and equal-in-magnitude-but-opposite-in-sign real parts.
Is every unitary matrix hermitian?
Absolutely not. They are rather quite different: hermitian matrices usually change the norm of vector while unitary ones do not (you can convince yourself by taking the spectral decomposition: eigenvalues of unitary operators are phase factors while an hermitian matrix has real numbers as eigenvalues so they modify the norm of vectors). So unitary matrices are good "maps" whiule hermitian ones are not. If you think about it a little bit you will be able to demonstrate the following: for every Hilbert space except C^2 a unitary matrix cannot be hermitian and vice versa. For the particular case H=C^2 this is not true (e.g. Pauli matrices are hermitian and unitary).
Is eigenvalue of any operator must be real?
No.
Can a Hermitian Matrix possess Complex Eigenvectors?
Yes. Simple example: a=(1 i) (-i 1) The eigenvalues of the Hermitean matrix a are 0 and 2 and the corresponding eigenvectors are (i -1) and (i 1). A Hermitean matrix always has real eigenvalues, but it can have complex eigenvectors.
What is a sentence using the word operator?
The suave and sophisticated deep cover spy was known as a smooth operator. One type of heavy equipment operator drives a bulldozer. The sewing machine operator will fix your snag.
Can you add a variable with a number?
Yes, IF the variable has been declared, has a value, and is of a numerical type such that your addition operator can perform the operation on the number and the value of that type variable. The compiler or interpreter will look up the variable's value, substitute it for the variable, and perform the addition just as if your statement used two numbers. First example: If your number is an integer and your variable is of type real, almost any addition operator can successfully add the two. Second example: If your number is a real and your variable is a character type (with a value, say, of "Smith"), the addition will obviously fail. In many languages, however, variables of type Boolean may be handled arithmetically, as the value True equals 1 and False is zero.
What does proprieter mean?
Proprieter is the real owner of business
How can you create a new operator through operator overloading?
You cannot create a new operator through operator overloading. You can only redefine an existing operator, with certain limitations. As an example, for a class of complex numbers, having a real and an imaginary part, you might want an addition operator. This is the skeleton of code to do that. I only show the operator, not any constructors or other operators or methods, etc.class complex {private:double real, imaginary;public:complex operator+ (complex operand) {complex temp;temp.real = this.real + operand.real;temp.imaginary = this.imaginary + operand.imaginary;return temp;}};The above answer is for C++. Since this question is also categorized in Java Programming it's important to note that operator overloading is not currently possible in Java.
Real world example of join operator?
The number of married women and the number of biological mothers.
Who invented the operator chair?
Charles Darwin is said to have been the first real inventor of the operator or office chair. He put wheels on his desk chair so that he could get to his specimens quicker.
