# What is Homework and exercise: Definition and 35 Discussions

Homework in psychotherapy is sometimes assigned to patients as part of their treatment. In this context, homework assignments are introduced to practice skills taught in therapy, encourage patients to apply the skills they learned in therapy to real life situations, and to improve on specific problems encountered in treatment. For example, a patient with deficits in social skills may learn and rehearse proper social skills in one treatment session, then be asked to complete homework assignments before the next session that apply those newly learned skills (e.g., going to a social engagement or greeting five people each day).Homework is most often used in cognitive behavioral therapy (CBT) for the treatment of mood and anxiety disorders, although other theoretical frameworks may also incorporate homework. Some of the types of homework used in CBT include thought records and behavioral experiments. Patients using thought records are instructed to write down negative cognitions on the thought record form and weigh the evidence both for and against the negative thoughts, with the goal being to come up with new, balanced thoughts in the process. Behavioral experiments are used as homework to help patients test out thoughts and beliefs directly. Studies have shown that homework completion and accuracy predict favorable outcomes in psychotherapy and may help patients stay in remission. However, some therapists are concerned that assigning homework makes therapy too formal and reduces the impact of the individual sessions.

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1. ### I Cosmological Scalar Field Density Dilution

This is from Modern Cosmology, Scott Dodelson, Chapter 6. For the part "Show that its energy density dilutes as ##a^{−3}##", following is my attempt: In the equation ##\frac{\partial \rho}{\partial t} = -3H(P+\rho)##, put ##P = \frac{1}{2} \dot{\phi}^2-V(\phi)## and ##\rho=\frac{1}{2}...
2. ### Help please with this dynamics exercise

This is the exercise: Please help me ( question 4 and 5). Here is my effort: First, I represented the forces on both objects. Then, i found F⁰ = 5N (question 1) After that, (question 2) + (question 3) I hope it's even correct.
3. ### Using Gauss' law to find the induced surface charge density ##\sigma##

My attempt: The electric field in the interior of a conductor is ##0##. By symmetry, the electric field is directed radially outward. Take the Gaussian surface as the thin cylindrical shell of radius ##\rm 3\ cm## and length ##L##. ##\displaystyle\oint\limits\vec{E}\cdot d\vec{A} =...
4. ### I ##Tr([Q,P])## and Ballentine Problem 6.3

I am trying to solve the following problem from Ballentine: (a) For finite-dimensional matrices ##A## and ##B##, show that ##Tr[A, B] = 0.## (b) Paradox. From this result it would seem to follow, by taking the trace of the commutator ##[Q, P] = i\hbar##, that one must have ##\hbar =...
5. ### Solving Problem 2.4 in Ballentine: Nonnegativeness Derivation

I am trying to solve Problem 2.4 in Ballentine: I note in my attempt below to what (2.6) and (2.7) refer. My attempt thus far is as follows: A ##2 \times 2## state operator can be represented in a particular orthonormal ##\beta = \{\phi_i\}## as below, where we have enforced trace...
6. ### B Simple yet effective way to reliably control the DC Motor speed?

As a part of our physics high-school self-study, we are making a stroboscope. We have a small 5-V DC motor that powers the strobe disk. It works as expected, but, clearly, the motor makes the disk spin at a constant speed. Is there an easy, but effective and reliable way to control its speed...
7. ### Non quadratic potentials and quantization in QFT (home exercise)

I noticed that ##V(\phi)## has nonzero minima, therefore I found the stationary points as ##{{\partial{V}}\over{\partial\phi}}=0##, and found the solutions: $$\phi^0_{1,2}=-{{m}\over{\sqrt{\lambda}}}\quad \phi^0_3={{2m}\over{\sqrt{\lambda}}}$$ of these, only ##\phi^0_3## is a stable minimum...
8. ### How can negative integers be used in deriving the Hamiltonian for open strings?

On ***page 38*** of Becker Becker Schwarz, we're given ***equation 2.69*** which is the Hamiltonian for a string given as $$H=\frac{T}{2}\int_{0}^{\pi}(\dot{X}^{2}+X^{'2})$$ Considering the open string we have...
9. ### 2 Cords affixed at different points are wrapped on a disc

The hint says the following: "Since the cords are inextensible, every particle of a cord must be in circular motion about the point where it is affixed to the ceiling. Therefore, the velocities of the points where the cords are leaving the disc are perpendicular to the string" Due to the fact...
10. ### Path on Cone Fig.1: Angle ACP is 90°?

Fig.1 Fig 2 (the net of the cone) Point C is the turning point. ##\phi##= 90°. I wonder why the angle ACP is 90°. Is this a coincidence, or the "wire of minimum length" has anything to do with this? (Though, I thought the minimum length of the path can be acquired if ABP is a right angle)

35. ### I Atomic Structure: Why Does Energy Decrease with Orbit Number?

I have read that an electron requires certain minimum energy of threshold frequency to move an orbit However the energy needed decreases with increase in shell number The transition energy is reduced with each orbit For example The energy to shift an electron from 1st to 2nd orbit is much...