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Suppose S is a stable matching for a given instance I of the Stable Matching algorithm, not necessarily the one produced by the Gale-Shapley algorithm.
(a) Does the matching S necessarily become unstable if we reverse the preference list of all the women (and keep the men's preferences intact)?
(b) What happens when we reverse the preference lists for all the men as well as all the women - does S necessarily become unstable?
Justify your answer for both cases, i.e., give a proof in case the answer is yes, and a counter-example if the answer is no.
where FV(Dp) is the fraction of the total aerosol volume in particles of diameter less than Dp. Determine the values of the constants c and b needed to match this distribution to the given aerosol
A company deposits 10,000 every year for ten years in a bank. The company makes no deposits during the subsequent 10 years. If the bank pays 10% interest, what is the amount in the account at the end of 20 years?
determine the range from the SV to the REC in GPS; using codes C/A and P and also waves (L1 and L2). How does two of the below from the list have an effect on the codes and waves
Based on the average property occupancy rate in this region, estimate the current population of this community - Estimate the current and future water demand for years 2025, 2035 and 2045.
Estimate the cp and cv of the nitrogen at this state, using enthalpy and internal energy data from Table A-18, and compare them to the values listed in Table A-2b.
A hydraulic lift of the type commonly used for greasing automobiles consists of a 10.000-in-diameter ram that slides in a 10.006-in-diameter cylinder, the annular space being filled
The pump curve for a given pump is represented by hp,pump=20 (1-(Q/100)^2) where hp,pump is the head provided by the pump in feet and Q is the discharge in gpm.
The boom supports two vertical loads. Neglect the size of the collars D and B and the thickness of the boom, and compute the horizontal and vertical components of force at the pin A and the force in the cable CB. Set F1= 800 N and F2= 350 N.
Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
How are the species of wood used in the fabrication of plywood classified?
Using the plans for a dwelling and the relevant Australian Standard you are to calculate the bracing required for the building and complete the Bracing Layout Plan
A river is 6 m deep. The riverbed material has a saturated unit weight of 19.5kN/m3. What is the effective vertical stress 12 m below the water surface?
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