Splitting Definition and 241 Threads

How can i describe the d-orbital splitting of [Cr(H2O)6]3+ using the casscf method?

Say you have a simplified 1d Gaussian wave function describing location of a particle. Many worlds says that every outcome is a separate branch. Copenhagen says you will get one of those branches. So how many distinct positions, imaginary or real, can you generate from a fixed segment of a...

Hi. I'm an amateur mason - I currently use drills and plugs to split granite boulders. I've used sledge hammers, chisels and levers. I've dropped rocks, used hydraulic presses and tended fires to crumble and split rock. It's hard work. It's long hour work. I'm wondering if there's not a better...

If we have binary decoherence at spacetime location X, as far as I understand, we almost instantly have a splitting into two worlds. Now if we have a different location Y, about a lightyear apart from X, then the decoherence hasn't reached Y before a year has passed. So for Y, the split hasn't...

Hello! If I have 2 energy levels split by something of the order of 10 Hz (they can be connected by an electric dipole moment i.e. ##\Delta J = 0## and they have different parities), what would be the best way to measure this difference (even 10% error would be good, but the lower the error the...

Adam has a circle of radius $1$ centered at the origin. - First, he draws $6$ segments from the origin to the boundary of the circle, which splits the upper (positive $y$) semicircle into $7$ equal pieces. - Next, starting from each point where a segment hit the circle, he draws an...

Suppose all roots of the polynomial ##x^n+a_{n−1}x^{n−1}+\cdots+a_0## are real. Then the roots are contained in the interval with the endpoints $$ -\dfrac{a_{n-1}}{n} \pm \dfrac{n-1}{n}\sqrt{a_{n-1}^2-\dfrac{2n}{n-1}a_{n-2}}\,. $$ Hint: Use the inequality of Cauchy-Schwarz.

I've looked around for help on sites and youtube but I don't really understand how to figure it out.

In the above diagram, I have illustrated what is written in the summery. So, if the thickness and refractive index of the material are chosen such that the part of the wave that travels through the slab acquires a path difference of λ/2 and at the right end if I keen another convex lens so as to...

Suppose we have a hamiltonian $$H_0$$ and we know the eigenvectors/values: $$H_0 |E_i \rangle = E_i|E_i \rangle $$ We then add to it another perturbing Hamiltonian: $$H’$$ which commutes with $$H_0.$$ According to nondegenerate first order perturbation theory: $$\langle H \rangle \approx...

Hello all, I am a newcomer here. Not a physicist, just an enthusiast. ;) I was thinking whether it is possible to separate a one-particle wave function into two, "completely disjoint" parts. The following thought experiment explains better what I am thinking about. Let us suppose, that there...

Basically the air pump on the left turns on and when it does, the balloon on the right fills up but the other does not. I also tried putting the pump upright but the left one just doesn’t seem to fill? Any ideas of why? There’s no air leak or blockage or anything

Hi, I am struggling with a calculation. A boat costs x to maintain and I and a friend decide to split the costs 60/40, where I put in 60% of the cost. However, I will have the boat less than my friend, he will have it 3/8 of the time and I will have it 5/8 of the time. So what is my actual...

I had a test article go through a spin balance service. The mass-radius and angular location of the correction weight, to achieve static and dynamic balance, interferes with another component on the test article (I'm unable to place the correction weight at the specified location). Using vector...

I don't know how to understand this: Suppose we measure the spin of an electron with apparatus M. M can yield spin-up or spin-down. According to MWI, M briefly becomes in superposition of measuring spin up and spin down. Extremely quick however, M gets split by the splitting into two universes...

For the colourfully-annotated compound above, why aren't the splitting patterns and integrations for the red and blue set of protons "pentet, 6 H" and "octet, 4 H", respectively?

Hello, I am having a hard time finding what the terminology and examples are for multicellular organisms that can have tissues rip/split off and then rejoin later, not even necessarily in the same part of the organism. I heard that perhaps jellyfish can do this. I am pretty sure I saw that...

Three roommates share household supplies and split the costs. Each buys items and adds the items to the ledger. At the end of the month they reimburse each other for expenses on the ledger. Satan spent 36 Eve spent 9 Adam spent 27 Who owes who what? Note: They share costs at a rate of about...

Homework Statement A thin convex lens of focal length 20 cm is split into two parts along the principal axis, now there is a 2mm gap between the top and bottom parts, an object O is placed at 10 cm from the lens, the distance between the two virtual images will be? Homework Equations 1/v - 1/u...

Can someone tell me what is the advantage of using the combination instead of a single capacitor? The same total power would be dissipated?

Suppose a spring of spring constant=K and Length=L is split into two parts L1 and L2, with spring constants K1 and K2 respectively. Then,why is it such that the spring force F=K1*L1=K2*L2=K*L? Please give an intuitive explanation of why the spring force doesn't change? I will be thankful for...

Hello, suppose we have an excited hydrogen atom in 3p state which makes a transition to 2s state. Then the atom loses some energy by emitting a photon which can be detected (or seen). I have no problems with that situation. If there is an external magnetic field, the energy levels of the...

Hi, in the link https://www.researchgate.net/profile/Andrew_Sornborger/publication/220662120_Higher-order_operator_splitting_methods_for_deterministic_parabolic_equations/links/568ffaab08aec14fa557b85e/Higher-order-operator-splitting-methods-for-deterministic-parabolic-equations.pdf and equation...

Assume that ##P## is a polynomial over a commutative ring ##R##. Then there exists a ring ##\tilde R## extending ##R## where ##P## splits into linear factor (not necessarily uniquely). This theorem, whose proof is given below, is difficult to find in the literature (if someone know a source, it...

Hi I am studying force components on a inclined plane. I understand the concept of breaking vectors into X , Y Components relative to the horizontal plane however what I can't seem to make sense of is how the ratios of a triangle and the main input force being the hypotenuse of the triangle...

Hi there. We are working on a school science project to compare how different catalysts in water splitting affect the energy/voltage needed to carry out the process. One of our catalysts will be Co-Pi, which is created by adding Cobalt-nitrate to a .1M phosphate buffer solution during...

Am I thinking about this problem correctly? "A block is attached to a horizontal spring and oscillates back and forth on a frictionless horizontal surface at a frequency of 3 Hz. The amplitude of the motion is 5.08 x 10-2 m. At the point where the block has its maximum speed, it suddenly splits...

I am reading Anderson and Feil - A First Course in Abstract Algebra. I am currently focused on Ch. 45: The Splitting Field ... ... I need some help with an aspect of the proof of Theorem 45.6 ... Theorem 45.6 and its proof read as follows: https://www.physicsforums.com/attachments/6701At...

I am reading Anderson and Feil - A First Course in Abstract Algebra. I am currently focused on Ch. 45: The Splitting Field ... ... I need some help with an aspect of the proof of Theorem 45.6 ... Theorem 45.6 and its proof read as follows: At the start of the proof of Theorem 45.6 we read...

I am reading Anderson and Feil - A First Course in Abstract Algebra. I am currently focused on Ch. 45: The Splitting Field ... ... I need some help with some aspects of the proof of Theorem 45.5 ... Theorem 45.5 and its proof read as follows: In the above text from Anderson and Feil we...

I am reading Anderson and Feil - A First Course in Abstract Algebra. I am currently focused on Ch. 45: The Splitting Field ... ... I need some help with some aspects of the proof of Theorem 45.4 ... Theorem 45.4 and its proof read as follows: My questions on the above proof are as...

I am reading Anderson and Feil - A First Course in Abstract Algebra. I am currently focused on Ch. 45: The Splitting Field ... ... I need some help with some aspects of the proof of Theorem 45.4 ... Theorem 45.4 and its proof read as follows: My questions on the above proof are as...

I am reading both David S. Dummit and Richard M. Foote : Abstract Algebra and Paul E. Bland's book: The Basics of Abstract Algebra ... ... I am trying to understand separable polynomials ... ... but D&F and Bland seem to define them slightly differently and interpret the application of the...

I am reading Dummit and Foote, Chapter 13 - Field Theory. I am currently studying Section 13.4 : Splitting Fields and Algebraic Closures ... ... I need some help with an aspect of Example 3 of Section 13.4 ... ... Example 3 reads as follows: In the above text by Dummit and Foote, we read...

I am reading Dummit and Foote, Chapter 13 - Field Theory. I am currently studying Section 13.4 : Splitting Fields and Algebraic Closures ... ... I need some help with an aspect of Example 3 of Section 13.4 ... ... Example 3 reads as follows: In the above text by Dummit and Foote, we read...

This is one of those questions that probably has a very simple answer, but I can't find it anywhere, and as much as I think about it, the more confused I get. Can diastererotopic protons have different number of split peaks in their overall signal like on a CH2R group, for example, one proton...

I have calculus textbook that is 352MB I want to split it into chapters the book is 1050 pages I used one the free online splitters to cut out a chapter earlier. but now I can't find it. there are MB limits so I'm over I thought the acrobat reader on the University pc would do it but the...

Homework Statement Hi, please see the attached file. I am trying to find the force as illustrated in the diagram. Homework Equations [/B] The Attempt at a Solution I've found the force for the 4deg beam and therefore the horizontal beam however I am unsure how to take into account the...

Homework Statement I am doing a MATLAB simulation for a spacecraft that splits into two near a planet, and one part enters the planet's orbit while the other part avoids the orbit. I am a bit unsure about the physics of the split. Since there is a net force due to gravity, I guess momentum is...

So if E and E' are both extensions of K so that both E and E' are splitting fields of different families of polynomials in K[x], then E and E' are not isomorphic, correct? They need to be splitting fields for the same family of polynomials in K[x], correct?

Homework Statement In each of the diagrams (please see attached file (I am sorry for the rotated, the original was in normal form but when uploading it, it was somehow rotated)) and the description of each case below, a particle is moving on a smooth surface, so that the reaction force R acting...

Fusion energy is very efficient and clean,but it's very hard to achieve it.That's why I think that instead of wasting energy on starting the fusion reaction we could use nuclear fission to start the fusion reaction. It's a simple concept:just let more neutrons in the fission reaction. This will...

Homework Statement 2 questions here: 1) Let g(x) = x^6 - 10 be a polynomial in Q(c) where c is a primitive 6th root of unity. Find a splitting field for this polynomial and determine it's Galois group 2) let f(x) = x^3 + x^2 + 2 with coefficients in ##F_3##. Find a splitting field K for this...

Homework Statement f(x) = x^7 + 3x^6 + 3x^5 - x^3 - 3x^2 - 3x where the coefficients are elements of F_5. Show that this polynomial is divisible by x^5-x and construct a splitting field L for f over F_5 and computer [L:F_5] Homework EquationsThe Attempt at a Solution So the first thing I did...

Homework Statement Find the splitting field of x^9-1 over F_13 (the field of 13 elements) Homework EquationsThe Attempt at a Solution Every element in the cyclic group F_13* will have order 13 since 13 is prime, and thus 1 is the only root of x^9-1 in F_13. Thus I did the long vision of...

Homework Statement Let f(x) = x^4 - 6x^2 - 2. Let K be a splitting field for this polynomial over Q, show that Gal(K:Q) is non-abelian of order 8. Homework EquationsThe Attempt at a Solution So I calculated the roots of this polynomial, one root was r = (3+(11^1/2))^1/2, and the others were...

Hey! :o Let $E/F$ be a finite extension. I want to show that this extension is Galois if and only if $E$ is a splitting field of a separable polynomial of $F[x]$. I have done the folllowing: $\Rightarrow$ : We suppose that $E/F$ is Galois. So, we have that the extension is normal and...

Consider the real emission correction to the tree level process ##e^+ e^- \rightarrow q \bar q## involving a final state gluon emitted from either the outgoing quark or antiquark line. The differential cross section for producing a quark with fractional energy ##x_1## in the ##q \bar q g##...

Homework Statement Describe the splitting field of x^9-1 over Z_13. Homework EquationsThe Attempt at a Solution Well, seeing if any other of {1,...,12} would be some tricky arithmetic. Is my best bet here moving forward to just divide x^9-1 by x-1 since I know 1 is a root and then go from...

Homework Statement I need to construct a splitting field of f(x)=x^4-x^3-5x+5 over Q Homework EquationsThe Attempt at a Solution So first I will assume r is a root and divide f(x) by (x-r). The quotient came out to be x^3 + (r-1)x^2 + (r^2-r)x + r^3 - r^2 - 5. I am a bit confused what to do...