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2. In class we discussed the evolution of the comoving particle horizon for rnatter and radiation....
62. Which are the three common hypotheses we discussed in class for the evolution of primates,...
62. Which are the three common hypotheses we discussed in class for the evolution of primates, i e., why become a primate, after the great K-Textinction 65 mya. Include in your answer a description of primate traits that can be related to each of these hypotheses.
Question 2 (5 marks) In class, we discussed how to implement static scoping using a static chain....
Question 2 (5 marks) In class, we discussed how to implement static scoping using a static chain. We discussed how to use the static chain to access a variable we want to update at runtime. What we did not discuss is how to maintain this static chain when we make recursive calls. Your task in this question is to provide the details of computing the static link for a function that is being called, that is, how to find the...
When we discussed the particle in a box model, we defined our box to be from...
When we discussed the particle in a box model, we defined our box to be from x=0 to x=a. Re- examine this problem, defining the box to be from -a to +a. Recall that the general solution for a particle in a region of V=0 is ψ = A sin kx + B cos kx. Apply the appropriate boundary conditions, figure out what k is (in terms of a), and normalize your solution (i.e. evaluate A and B). .
As you discussed in Activity 2.10, Relationship 2 of the Particle Model of Matter gives the...
As you discussed in Activity 2.10, Relationship 2 of the Particle Model of Matter gives the relation between the force acting between two particles and the potential energy due to this force: the force is equal to the derivative of the potential energy with respect to the particle separation. The force is always in the direction that lowers the potential energy. 3) a) The electrical force between two positively charged objects is always repulsive and becomes weaker as distance increases,...
2. The acceleration equation We have derived in lectures the Friedmann and fluid equations, that describe...
2. The acceleration equation We have derived in lectures the Friedmann and fluid equations, that describe the evolution of simple cosmologies. The Friedmann equation is usually given (adopting c 1) as where a(t) is the scale factor of the universe, p is the mass (energy) density, and k is constant. (a) (5 points) The simplest (although spectacularly uninteresting) cosmology has zero mass-energy, i.e. ρ 0. Solve the Friedmann equation under this condition to obtain an expression for at(t). Describe the...
Induction 3. In class we discussed "telescoping series," meaning series of the forrm In class, we...
Induction 3. In class we discussed "telescoping series," meaning series of the forrm In class, we said that the partial sums are of the form The partial sums have a recursive characterization: s1bi -b and sn+1 Sa(0u+1-u+2). Use induction to show equation (1).
Induction 3. In class we discussed "telescoping series," meaning series of the forrm In class, we said that the partial sums are of the form The partial sums have a recursive characterization: s1bi -b and sn+1 Sa(0u+1-u+2)....
2) In class we discussed how non-interacting spins align with an external magnetic field. For quantum...
2) In class we discussed how non-interacting spins align with an external magnetic field. For quantum spins in three dimensions the magnetization can be written HeffB М 3 пиеg B, (а), а — Heff = g)where kвт 2J+1 coth (acotha 2J+1 :a) is the Brillouin function В (а) 2J 2J JU+1)+S(S+1)+L (L+ 1) and g 1 is the Lande g-factor 2J+1) Here will specialize to the case J1/2 (L=0, S=1/2). a) Calculate the Lande g-factor for this case b) Starting...
The Evolution of a Technological Solution Consider how technology has evolved in your lifetime. These changes may impact how we work to find solutions to the global threats discussed so far. If we cou...
The Evolution of a Technological Solution Consider how technology has evolved in your lifetime. These changes may impact how we work to find solutions to the global threats discussed so far. If we could remove the current boundaries of technology and look into the future, how would you use technology to resolve one of these global threats?
2. In class, we discussed the problem of searching for an item x in a sorted...
2. In class, we discussed the problem of searching for an item x in a sorted array L with n entries. The returned value is supposed to be -1 if the value x is not in the array, and the index i such that L[i] = x if x is in the array. Assume that I does not contain duplicate values. Now consider the decision trees of algorithms for solving this problem. To make the decision tree more explicit, we...
In Lecture 4 we discussed the scale of the universe, shrinking it down by a factor...
In Lecture 4 we discussed the scale of the universe, shrinking it down by a factor of 10 billion. According to this scale, how far away would Tau Ceti be in kilometers (actual distance 11.89 light years)? What country would you have to travel to (heading directly 6. west) from Irvine, CA to reach this distance? 7. The New Horizons probe, which took 9 years to reach Pluto in 2015, holds the record for the fastest launch velocity, at 58,000...
62. Which are the three common hypotheses we discussed in class for the evolution of primates, i e., why become a primate, after the great K-Textinction 65 mya. Include in your answer a description of primate traits that can be related to each of these hypotheses.
Question 2 (5 marks) In class, we discussed how to implement static scoping using a static chain. We discussed how to use the static chain to access a variable we want to update at runtime. What we did not discuss is how to maintain this static chain when we make recursive calls. Your task in this question is to provide the details of computing the static link for a function that is being called, that is, how to find the...
As you discussed in Activity 2.10, Relationship 2 of the Particle Model of Matter gives the relation between the force acting between two particles and the potential energy due to this force: the force is equal to the derivative of the potential energy with respect to the particle separation. The force is always in the direction that lowers the potential energy. 3) a) The electrical force between two positively charged objects is always repulsive and becomes weaker as distance increases,...
2. The acceleration equation We have derived in lectures the Friedmann and fluid equations, that describe the evolution of simple cosmologies. The Friedmann equation is usually given (adopting c 1) as where a(t) is the scale factor of the universe, p is the mass (energy) density, and k is constant. (a) (5 points) The simplest (although spectacularly uninteresting) cosmology has zero mass-energy, i.e. ρ 0. Solve the Friedmann equation under this condition to obtain an expression for at(t). Describe the...
Induction 3. In class we discussed "telescoping series," meaning series of the forrm In class, we said that the partial sums are of the form The partial sums have a recursive characterization: s1bi -b and sn+1 Sa(0u+1-u+2). Use induction to show equation (1).
Induction 3. In class we discussed "telescoping series," meaning series of the forrm In class, we said that the partial sums are of the form The partial sums have a recursive characterization: s1bi -b and sn+1 Sa(0u+1-u+2)....
2) In class we discussed how non-interacting spins align with an external magnetic field. For quantum spins in three dimensions the magnetization can be written HeffB М 3 пиеg B, (а), а — Heff = g)where kвт 2J+1 coth (acotha 2J+1 :a) is the Brillouin function В (а) 2J 2J JU+1)+S(S+1)+L (L+ 1) and g 1 is the Lande g-factor 2J+1) Here will specialize to the case J1/2 (L=0, S=1/2). a) Calculate the Lande g-factor for this case b) Starting...
2. In class, we discussed the problem of searching for an item x in a sorted array L with n entries. The returned value is supposed to be -1 if the value x is not in the array, and the index i such that L[i] = x if x is in the array. Assume that I does not contain duplicate values. Now consider the decision trees of algorithms for solving this problem. To make the decision tree more explicit, we...
In Lecture 4 we discussed the scale of the universe, shrinking it down by a factor of 10 billion. According to this scale, how far away would Tau Ceti be in kilometers (actual distance 11.89 light years)? What country would you have to travel to (heading directly 6. west) from Irvine, CA to reach this distance? 7. The New Horizons probe, which took 9 years to reach Pluto in 2015, holds the record for the fastest launch velocity, at 58,000...
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