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C program to multiply two complex no?
/*C++ program to multiply two complex numbers using * operator overloading*/ #include<iostream.h> #include<conio.h> class complex { float x,y; public: complex() {} complex(float real,float img) { x=real; y=img; } complex operator*(complex); void display() { cout<<x<<" + "<<y<<"i"<<endl; } }; complex complex::operator*(complex e) { complex temp; temp.x=x*e.x+y*e.y*(-1); temp.y=x*e.y+y*e.x; return(temp); } void main() { clrscr(); complex c1(5,3),c2(3,2),c3=c1*c2; c1.display(); c2.display(); cout<<"Multiplication"<<endl; c3.display(); getch(); } OUTPUT: 5 + 3i 3 + 2i Multiplication 9 + 19i
How do you relate AC and DC voltage by means of complex numbers?
A complex number is a combination of real and imaginary numbers. An example of a complex number is the expression (a + jb), in which the letter j is called an 'operator'. In this example, the operator +j indicates that the quantity b is acting at an angle of +90o to quantity a -or is 'leading' a by 90o. If the operator was -j, then it would be indicating that quantity bis acting at -90o to quantity a -or is 'lagging' a by 90o.Mathematicians use the letter 'i' to represent an imaginary number, but in electrical engineering we use the letter 'j'. This is because we already use a lower-case 'i'to represent an instantaneous value of current. In mathematics, the operator is sometimes written after the quantity to which it applies (i.e. 'bj'), but it is more usual, in engineering, to place the operator in front of that quantity (i.e. 'jb').The application of the operator 'j' to a phasor, then, acts to rotate that phasor, counterclockwise, through 90 degrees.The term, 'imaginary', is misleading -it doesn't mean that it exists only in the mind! It is simply a mathematician's term for 'quadrature', meaning 'lying along the y-axis'.A.C. quantities, such as current and voltage, can be resolved into horizontal and vertical components. So, we can represent an alternating-current quantity by a complex number which represents its in-phase component together with its quadrature (plus or minus 90o) component. For example, 3+j4 could represent a 5-A current, whose in-phase component is 3 A, and whose quadrature component is 4 A (i.e. which leads the in-phase component by 90o).Complex numbers enable complex a.c. circuits to be resolved relatively easily, and without the need to construct complicated phasor diagrams.As in-phase and quadrature ('imaginary') components only apply to a.c. quantities, we do not need to apply complex numbers to d.c.
A water operator or an water operator?
A
How can you differentiate overloading of pre-fix and post-fix increment operator?
The prefix increment operator is overloaded as operator++() while the postfix increment operator is overloaded as operator++(int).
What are the duties of operator?
retail operator responsobilities
Adjoint operator of a complex number?
Adjoint operator of a complex number?
How can we show that the position operator is Hermitian?
To show that the position operator is Hermitian, we need to demonstrate that its adjoint is equal to itself. In mathematical terms, this means proving that the integral of the complex conjugate of the wave function multiplied by the position operator is equal to the integral of the wave function multiplied by the adjoint of the position operator. This property is essential in quantum mechanics as it ensures that the operator corresponds to a physical observable.
Can you make momentum operator non self adjoint?
No, the momentum operator in quantum mechanics must be self-adjoint in order to ensure that it generates unitary time evolution and that the associated probability distribution is conserved. Making the momentum operator not self-adjoint would lead to inconsistencies with the fundamental principles of quantum mechanics.
Are adjoint and transpose the same?
No, adjoint and transpose are not the same, although they are related concepts in linear algebra. The transpose of a matrix is obtained by flipping it over its diagonal, while the adjoint (or adjugate) refers to the transpose of the cofactor matrix. In the context of complex matrices, the adjoint often refers to the conjugate transpose, which combines both the transpose and complex conjugation.
How can one determine if an operator is Hermitian?
To determine if an operator is Hermitian, one must check if the operator is equal to its own conjugate transpose. This means that the operator's adjoint is equal to the operator itself. If this condition is met, then the operator is Hermitian.
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.
Is momentum hamiltonian operator is hermitian operator?
The hamiltonian operator is the observable corresponding to the total energy of the system. As with all observables it is given by a hermitian or self adjoint operator. This is true whether the hamiltonian is limited to momentum or contains potential.
Determinant of adjoint a is given find determinant of a?
relationship between determinant and adjoint
What is an adjoint matrix?
The classical adjoint of a square matrix A the transpose of the matrix who (i, j) entry is the a i j cofactor.
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.
What is the significance of the adjoint spinor in the context of quantum field theory?
The adjoint spinor in quantum field theory is important because it represents the conjugate of a spinor, which allows for the calculation of complex quantities like probabilities and interactions in particle physics. It helps in understanding the symmetries and transformations of particles and fields, making it a crucial concept in theoretical physics.
What is the other term for adjoint matrixmathematics?
adjugatee matrix
