Babinet’s principle states (roughly) that the diffraction pattern produced by a solid object is the same as the diffraction pattern that would be produced by a hole of the same shape as the object.Can you think of a way in which you could measure the width of a strand of hair using this principle and possibly using interference and diffraction

Given the following information about a stock's return in the various states of the economy, calculate the standard deviation of its return. USE EXCEL AND SHOW FORMULAS THAT WERE USED. Enter answer in percents

1. We have a system of two identical particles which are in the individual states of |φ and |ψ (φψ=0).

1. Calculate appropriate system state for both fermion and boson cases
2. We want to measure the observable A common to both particles. This observable has non-degenerate and discrete spectrum, i.e, A|ui=ai|ui. Immediately after the measurement calculate the probability P(an,am) for measuring an eigenvalue for one of the particles and am for the other. What would happen to the probability if right after the measurement n were equal to m (|un=|um ) for both fermion and boson cases.
3. If the particles were distinguishable, recalculate the above results and compare each cases with respect to each other.

Many governors determined that shutting down part of their states' economies was the best response to COVID19. We are not debating that. However, since such shutdowns led to tremendous unemployment, Mr. Trump stepped in with some fiscal policy measures. Research them and discuss their efficacy amongst yourselves.

In a system of three particles, each particle has three quantum states. The energies of these situations are 0.3? and 5?, respectively. Write the partition functions of the particles that meet the following conditions.
a) If the particles are distinguishable
b) Particles comply with Bose-Enistein statistics
c) If the particles match Fermi-Dirac statistics

The rational expectations hypothesis states that

A. people combine the effect of past policy changes on important economic variables with unpredictable views on what policy makers will do to determine what the economy will do in the future.

B. people understand how the economy operates and use their knowledge in making expectations about the future, but are uninformed about how fiscal and monetary policies are made and carried out.

C. people combine the effects of past policy changes on important economic variables with their own judgments about the future effects of current and future policy changes.

D. the government combines the effects of past policy changes on important economic variables with accepted views about the effects of current and future policy changes.

The World Health Organisation (2015) states:

“Healthy ageing is a process of developing and maintain the functional ability that enables wellbeing in older age. Functional ability is about having the capabilities that enable all people to be and do what they have reason to value” Using the context provided in the statement above, critically analyse your role as a registered nurse in empowering the older adult.

In your response discuss current evidence-based approaches to the promotion of healthy ageing.

The World Health Organisation (2015) states:

“Healthy ageing is a process of developing and maintain the functional ability that enables wellbeing in older age. Functional ability is about having the capabilities that enable all people to be and do what they have reason to value”

Using the context provided in the statement above, critically analyse your role as a registered nurse in empowering the older adult. In your response discuss current evidence-based approaches to the promotion of healthy ageing.

The World Health Organisation (2015) states:

“Healthy ageing is a process of developing and maintain the functional ability that enables wellbeing in older age. Functional ability is about having the capabilities that enable all people to be and do what they have reason to value” Using the context provided in the statement above, critically analyse your role as a registered nurse in empowering the older adult.

In your response discuss current evidence-based approaches to the promotion of healthy ageing.

Suppose an economy has three states: boom, normal, and recession. Assume that the probability of a boom state is 0.2, a normal state is 0.5, and a recession state is 0.3. And there are three stocks in this economy, called Alpha, Beta, and Gamma respectively. The return performance of these stocks has been summarized by the following table:

(Please show your intermediate processes, instead of just a final number for your answers. Only round your final answers to two decimal places.)

(a) What is the expected return of Stock Alpha?

(b) What is the variance of Stock Beta?

(c) What is the standard deviation of Stock Gamma?

(d) Suppose you build a portfolio by including these three stocks. The weight of Stock Alpha in your portfolio is 0.2, the weight of Stock Beta is 0.3, and the weight of Stock Gamma is 0.5. What are the expected return, variance, and standard deviation of your portfolio?

(e) Based on what you observe from the calculations and what you learned from the class, could you specify what are the characteristics of portfolios?