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A function is homothetic if it can be transformed into another function by scaling both the input and output variables by the same factor. This can be demonstrated by showing that the function's shape remains the same when both variables are scaled proportionally.

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8mo ago

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What is the relationship between a homothetic function and its scaling properties?

A homothetic function is a type of function that exhibits scaling properties, meaning that it maintains its shape when scaled up or down by a constant factor. In other words, the function's behavior remains consistent regardless of the scale at which it is observed.


How do you find if preferences are homothetic?

To determine if preferences are homothetic, you need to check if the utility function can be expressed in a specific form, typically as ( U(x_1, x_2) = f(g(x_1, x_2)) ), where ( f ) is a monotonic function and ( g ) is a homogeneous function of degree one. This means that if you scale all inputs by a positive factor ( t ), the utility changes in a proportional manner, i.e., ( U(tx_1, tx_2) = tU(x_1, x_2) ). If this condition holds, preferences are homothetic, indicating that the consumer's marginal rate of substitution remains consistent across different consumption levels.


Parsons was the first to demonstrate the function of medicine as a form of what?

Deviant behavior


What part of speech is demonstrate?

The word "demonstrate" can function as both a verb and a noun. As a verb, it is an action word that shows or proves something. For example, "She will demonstrate the experiment in class." As a noun, "demonstrate" can refer to a public display of group opinion or feeling, as in "The protest was a powerful demonstration of unity."


What is a suffix for demonstrate?

One possible suffix for "demonstrate" is "-able," forming the word "demonstratable."


How can you demonstrate that the function x3 is in the set o(x4)?

To demonstrate that the function x3 is in the set o(x4), you can show that the limit of x3 divided by x4 as x approaches infinity is equal to 0. This indicates that x3 grows slower than x4, making it a member of the set o(x4).


Arman sets the goal for his sales team to increase revenue by 40. Which main function of a manager does this demonstrate?

Planning. (APEX)


Write a C program called MonthDays to find the number of days in a given month Test your code with different input values to demonstrate that your function is robust?

Write a C program called MonthDays to find the number of days in a given month Test your code with different input values to demonstrate that your function is robust?


How does does one demonstrate allegiance?

by bbeing vassal in such a way


How can one demonstrate proof of their bank account?

To demonstrate proof of a bank account, one can provide a bank statement or a letter from the bank confirming the account details and balance.


How can one demonstrate the correctness of an algorithm?

One can demonstrate the correctness of an algorithm by using mathematical proofs and testing it with various inputs to ensure it produces the expected output consistently.


How can one demonstrate that a grammar is unambiguous?

One can demonstrate that a grammar is unambiguous by showing that each sentence in the language has only one possible parse tree, meaning there is only one way to interpret the sentence's structure.

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