# What is Normalize: Definition and 41 Discussions

The Israel–Morocco normalization agreement is an agreement announced by the United States government on December 10, 2020, in which Israel and Morocco agreed to begin normalizing relations. On December 22, 2020, a joint declaration was signed pledging to quickly begin direct flights, promote economic cooperation, reopen liaison offices and move toward "full diplomatic, peaceful and friendly relations." Morocco officially recognized Israel in its communication to Israeli Prime Minister Benjamin Netanyahu. The agreement followed Bahrain, the United Arab Emirates, and Sudan also signing normalization agreements with Israel in September and October 2020. Along with Egypt and Jordan, Morocco became the sixth Arab League country to normalise ties with Israel. As part of the agreement, the United States agreed to recognize Morocco's claim to the disputed Western Sahara territory while urging the parties to "negotiate a mutually acceptable solution" using Morocco's autonomy plan as the only framework.

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1. ### Normalize function - quantum chemistry

Normalize function f(r) = Nexp{-alpha*r} Where alpha is positive const and r is a vector I was just wondering if the fact that we have a vector value in our equation changes anything about the solution
2. ### MHB Chi-square test vs K-S test of uniformity, is it necessary to normalize values between 0-1?

Say two digits numbers are given like 10,20,30,55,95,85,12,13,52...etc. Is it necessary to normalize them to numbers between 0 to 1? i.e 0.10 for 10, 0.20 for 20 and so on? I've read this to be the case for K-S test. But I'm not sure for chi-square test. I'm not 100% sure on this information as...
3. ### Python How to properly normalize convolution of Gaussian and Lorentzian

I'd like to plot the normalized convolution of a Gaussian with a Lorentzian (see the definitions in terms of full width half maximum (fwhm) in the attached image). Here is my attempt, but the print statements with np.trapz() do not return 1 in both cases, but rather ##\approx##0.2. I'd also like...
4. ### Normalize the Gaussian wave packet

For normalizing this wave function, I began by finding the complex conjugate of psi and then multiplied it with the original psi. Now what I am getting is A^2 integral exp(2cx^2-4ax) dx = 1 Now I am not getting how to solve this exponential term. I tried by completing the square method but it is...
5. ### Normalize the eigenfunction of the momentum operator

I am just solving the equation $$\frac{h}{2\pi i}\frac{\partial F}{\partial x} = pF$$, finding $$F = e^{\frac{ipx2\pi }{h}}C_{1}$$, and$$\int_{-\infty }^{\infty }C_{1}^2 = 1$$, which gives me $$C_{1} = \frac{1}{(2\pi)^{1/2} }$$, so i am getting the answer without the h- in the denominator...
6. ### I How do you normalize this wave function?

I have a basic question in elementary quantum mechanics: Consider the Hamiltonian $$H = -\frac{\hbar^2}{2m}\partial^2_x - V_0 \delta(x),$$ where ##\delta(x)## is the Dirac function. The eigen wave functions can have an odd or even parity under inversion. Amongst the even-parity wave functions...
7. ### B How can I normalize these values to sum 1?

I have calculate a serie of view factors for a given geometry and its sum is aproximately one but not exactly. My values are: 0,1134 0,1307 0,2446 0,12393 0,115053 0,010084 0,007334 0,1071 0,0145 0,0128 0,0919 0,01675 0,00463 0,00344 The sum now is equal...
8. ### Time-independent Schrödinger equation, normalizing

Homework Statement An electron coming from the left encounters/is trapped the following potential: -a<x<0; V=0 0<x<a; V=V0 infinity elsewhere the electron has energy V0 a)Write out the wave function b)normalize th wave function Homework EquationsThe Attempt at a Solution for -a<x<0...
9. ### Normalizing the wave function of the electron in hydrogen

Homework Statement I am having trouble with part d, where they ask me to prove that the wave function is already normalized The Attempt at a Solution But that clearly doesn't give me 1. I tried to use spherical coordinates since it is in 3D? Not really sure how to proceed. EDIT: I realize...
10. ### Normalize Hydrogen Wavefunction

I'm trying to prove that the wave function of Hydrogen for the fundamental state is normalized: $$\Psi_{1s}(r)=\frac{1}{\sqrt{\pi a^3}}e^{-\frac{r}{a}}$$ What I tried is this: $$I= \int_{-\infty}^{\infty} | \Psi^2(x) | dx = 1$$  \int_{-\infty}^{\infty} \frac{1}{\pi...
11. ### Using generating function to normalize wave function

Homework Statement Prove that ##\psi_n## in Eq. 2.85 is properly normalized by substituting generating functions in place of the Hermite polynomials that appear in the normalization integral, then equating the resulting Taylor series that you obtain on the two sides of your equation. As a...
12. ### A Normalization and Scaling with Matrices

Hey everyone, I understand how to normalize a second order system, but I wanted to know if the same steps are taken when the parameters of the system are not scalar but matrices. For example where the parameter phi, and gamma are both 3x3 matrices and X is a 3x1 vector. From what I've see...
13. ### C/C++ Normalize Array w/ C++ & Max of 60 x's

I need to normalize an array, I find the max value which can be any integer. I have to output this number using cout and represent it as 'x' how ever many times. The catch is I can only have a max amount of 60 x's. If my max is 500 I need to display it as 60 'x' and normalize my whole array to...
14. ### Joining together data from two different MRI protocols

I should start by saying that, as a novice data analyst, I have very little experience with MRI physics, but I believe I understand the absolute fundamentals. Also, this post mostly concerns data analysis issues so might be better suited for some other signal processing forum, but I'm hoping...
15. ### Intro & What does it mean to normalize a function/an image?

Hi Guy, My name is John Dolan and I am an Irish student studying Astronomy in the university of Groningen in the Netherlands. I have been interested in Physics and Astronomy since I was knee high to a grasshopper and I look forward to asking questions, finding out new ideas and new ways of...
16. ### How do I normalize angular frequency for circuit optimization?

Hey all, This question may sound daft, but how do I normalize angular frequency? For a little background: I'm trying to optimize some circuits, and I've managed to write some successful code using the "Design of Ultra Wideband Antenna Matching Networks" book, but the code requires normalized...
17. ### How to Normalize the Wave Function?

Homework Statement Normalize the wave function ,\psi(x), where \psi(x)=\frac{1}{1+ix}. Homework EquationsThe Attempt at a Solution \langle\psi\mid\psi\rangle= \int_{-\infty}^{\infty}\frac{1-ix}{1+x^2}\frac{1+ix}{1+x^2}dx=\int_{-\infty}^{\infty}\frac{1}{1+x^2}=\left...

19. ### Why normalize equations when solving numerically?

In most textbooks I've read and programs I've work with, differential equations are normalized (made dimensionless) before being solved with some numerical method. What is the point of this? It's seems to be a lot of work for no benefice. So, after a lot of derivations, you end up with some...
20. ### Should I Normalize My Data for Host Ranking?

I have 2 measures that I am using to rank terms that I get them by prediction (using linear regression). They are the time to transmit X bytes and the time to compute the X bytes. I do the prediction if I execute in host A, B, and C. I add the 2 measures and rank the hosts. I think adding these...
21. ### How to normalize Schrodinger equation

Homework Statement The solution to the Schrodinger equation for a particular potential is psi = 0 for absolute x > a and psi = Asin(pi*x/a) for -a <= x <= a, where A and a are constants. In terms of a, what value of A is required to normalize psi? Homework Equations psi = 0 for absolute...
22. ### Tried to Normalize this function but

Homework Statement The problem is attached in the picture. It is to normalize the wavefunction to find the value of A. The Attempt at a Solution The solutions used an element volume dV of a very thin shell, then integrated r from 0 to ∞. I didn't think of this way, I simply...
23. ### Why is the function must be normalize ? what is the meaning of

why is the function must be normalize ? what is the meaning of normalization I know it's ∫ψψ*=1 but what it mean ?
24. ### How to normalize wave functions in QFT? such as \lambda \phi 4 theory?

In quantum mechanics, most wave functions are normalized with \int |\phi|^2 dx^3 =1. But I did not see any field in the quantum field theory is normalized. I understand they maybe just plain waves and does not need to be normalized. But in some cases, if we do not expand the field as plain wave...
25. ### How to Normalize a simulated dataset to fit the actual dataset?

Can someone tell me how I can 'normalize' my dataset? My scenario is as follows. I have two datasets, A (real-life data) and B (simulated data). Dataset A contains 4 numerical values (from an actual experiment): -> E.g. 4 leaves from a binary tree each assigned with values...
26. ### Solving a tricky integral to normalize a wave function

Homework Statement A particle of mass m is moving in one dimension in a potential V(x,t). The wave function for the particle is: ψ = Axe^([-sqrt(km)/2h_bar]*x^2)e^([-isqrt(k/m)]*3t/2). For -infinitity < x < infinity, where k and A are constants. Normalize this wave function. Homework...
27. ### Understanding Normalized Lebesgue Measure on the Unit Circle

What do we meen by "Normalize Lebesgue Measure", when we talk about functions on the unit circle. If some example is introduced it will be better (how to evalutae the integral).
28. ### Why do we need to normalize vectors for?Is it just to cut down on

Why do we need to normalize vectors for? Is it just to cut down on the arithmetic when finding other quantities of the vector? Does it make life simpler to normalize vectors?
29. ### Problem to Normalize a wave function

Homework Statement To find the stationary states and the corresponding energies, I need to normalize the following equations: X(x)=A_x sin(\frac{n_x\Pi}{a}x) Y(y)=A_y sin(\frac{n_y\Pi}{a}y Z(z)=A_z sin(\frac{n_z\Pi}{a}z Because of their similiraty, these value of the normalize...
30. ### Binary numbers- how to normalize?

Homework Statement Find the binary form of x= 7/10 Suppose that the number x= 7/10 is to be stored in a 32-bit computer, find the nearby machine numbers x_ and x+ Homework Equations The Attempt at a Solution I have found that 7/10 in binary form is: 0.101100110011001100...
31. ### What are the properties of a normalized wave function?

At time = 0 a particle is represented by the wave function \Psi(x,0) = \left\{ \begin{array}{ccc} A\frac{x}{a}, & if 0 \leq x \leq a, \\ A\frac{b-x}{b-a}, & if a \leq x \leq b, \\ 0, & otherwise, \end{array} \right where A, a, and b are constants. (a) Normalize \Psi (that is, find A, in...
32. ### I must normalize this to solve for the normalization constant

Homework Statement A hydrogen atom given the following state: \psi (r, 0) = A\psi_{100}(r) + (\frac{1}{\sqrt{5}})\psi_{311}(r) + (\frac{1}{\sqrt{3}})\psi_{422}(r) I must normalize this to solve for the normalization constant A Homework Equations The Attempt at a Solution Is it just me or...
33. ### What does it mean to normalize a non-normalized wavefuction as in

What does it mean to normalize a non-normalized wavefuction as in psi=something?

normalize the wave function and more! Please help! Homework Statement i) Normalize the wave function ii) Calculate <x> iii) Calculate <x^{2}> iv) What would happen if a < 0? Homework Equations \psi\left(x\right) = N\left(1+i\right)exp\left(-a|x|\right), for -inf <...
35. ### How do I normalize the wave equation?

Homework Statement \Psi(x) = \frac{C}{a^2 + x^2} Homework Equations I know to do this I need to solve for: \int_{-\infty}^{\infty} \left|\Psi(x)\right|^2 = 1 The Attempt at a Solution I'm not sure how to do it for this function. I've tried various methods to solve C^2...
36. ### Normalize a wave function problem

Homework Statement I am unfamiliar with LaTeX (is there a tutorial around, or should I just wing it and risk posting a potential mess?). my problem is that I need to normalize a wave function: psi(x,t) = Ae^(-bx)e^(-iwt). there are no constraints given. Homework Equations integral of...
37. ### Normalize both ψ1 and ψ2 and then find the energy eigenvalues of each

Hi there this is my first post here, I am having some trouble with a homework question in quantum. I need to normalize both ψ1 and ψ2 and then find the energy eigenvalues of each. The given Hamiltonian is H0 = (1 2 ) (2 -1) And ψ1 = (...
38. ### Normalize Quantum Mechanical Wavefunction

Homework Statement A Quantum mechanical particle is defined by the following wave functions: \Psi(x) = Aeax for x<0 \Psi(x) = Ae-2ax for X>0 where A and a are both real, positive constants. Normalize the wavefunction, i.e. determine an expression for A in terms of a. Homework...
39. ### Normalize Function: F(theta)=2*e(-theta)*sin(2*theta)

i need to normalize(F/Fmax) the function: F(theta)=2*e(-theta)*sin(2*theta) where theta is <= pi/2 and F(theta) is 0 otherwise. theta can basically go to negative infinity which would make Fmax very large.
40. ### Normalize the even wave functions for the finite square well

I'm trying to normalize the even wave functions for the finite square well. The wave function is: \psi(x)= \begin{cases} Fe^{\kappa x} & \text{for } x< a\\ D\cos(lx) & \text{for } -a\leq x \leq a\\ Fe^{-\kappa x} & \text{for } x> a \end{cases} How can I determine D and F? When I...
41. ### Diagonalize a Matrix A - Normalize eigenvectors

I have a homework problem here I am a little at a loss on due to not very good examples in class and the part of the book that explains them is 4 chapters ahead and loaded with words I just do not understand yet. :bugeye: If someone could give a definition or two and get me started on this bad...