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• ### What is the asymptotic variance?

The asymptotic variance is a measure of the variability of an estimator as the sample size approaches infinity. It represents the limit of the variance of the estimator as the sample size becomes very large. In statistical theory, it is used to assess the precision and reliability of an estimator in the long run. A smaller asymptotic variance indicates that the estimator is more efficient and provides more precise estimates as the sample size increases.

• ### What is the asymptotic terminal velocity?

The asymptotic terminal velocity is the maximum constant velocity that an object can reach when falling through a fluid, such as air or water, due to the balance between the gravitational force pulling the object downward and the drag force pushing against it. As the object falls, the drag force increases until it equals the gravitational force, at which point the object stops accelerating and reaches its terminal velocity. This velocity is asymptotic because the object will never actually reach it due to factors like air resistance and other external forces.

• ### Why do we have an asymptotic equality here?

We have an asymptotic equality here because as the input size grows larger, the difference between the two functions becomes negligible. In other words, the growth rate of the two functions becomes very similar as the input size approaches infinity. This allows us to simplify the comparison of the two functions and focus on their overall growth behavior rather than their specific values. As a result, we can use asymptotic analysis to make general statements about the performance of algorithms or the behavior of mathematical functions without getting bogged down in the details of specific input sizes.

• ### What exactly is required in this task regarding asymptotic growth?

In this task, you are required to analyze the asymptotic growth of the given functions. This involves determining the rate at which the functions grow as their input values become very large. You need to compare the growth rates of the functions using big-O notation to understand their relative efficiencies. By identifying the dominant terms in the functions and simplifying them to their most significant parts, you can determine which function grows faster or slower in the long run.

• ### Do South Korean entertainment companies hire foreigners?

Yes, South Korean entertainment companies do hire foreigners. Many entertainment companies in South Korea actively seek out foreign talent, including singers, actors, and dancers, to join their roster. This is part of a growing trend in the South Korean entertainment industry to diversify and globalize their talent pool in order to appeal to a wider international audience. Additionally, some entertainment companies also hire foreigners for behind-the-scenes roles such as songwriting, producing, and choreography.

• ### What unknown K-Pop entertainment companies are there?

There are several lesser-known K-Pop entertainment companies in South Korea, such as Starship Entertainment, Fantagio, and Jellyfish Entertainment. These companies may not be as well-known as the "Big 3" (SM Entertainment, YG Entertainment, JYP Entertainment), but they have produced successful K-Pop groups and artists. These smaller companies often focus on developing and promoting new talent in the competitive K-Pop industry.

• ### What are some unknown K-Pop entertainment companies?

Some lesser-known K-Pop entertainment companies include Starship Entertainment, known for managing artists like Monsta X and Cravity; Jellyfish Entertainment, home to artists like VIXX and Gugudan; and WM Entertainment, which manages artists like Oh My Girl and ONF. These companies may not be as widely recognized as the "Big 3" (SM, YG, JYP), but they have produced successful K-Pop acts and continue to grow in the industry. Fans of K-Pop may enjoy exploring these smaller companies and discovering new talent.

• ### What does discretion mean?

Discretion refers to the ability to make careful and sensible decisions, especially in delicate or sensitive situations. It involves using good judgment and being thoughtful about the potential consequences of one's actions. People who exercise discretion are able to weigh various factors and make informed choices that are appropriate for the circumstances at hand. This can be particularly important in professional settings, where individuals may need to handle confidential information or navigate complex ethical dilemmas.

• ### How do entertainment companies fake the age of idols?

Entertainment companies may fake the age of idols by altering official documents such as birth certificates or identification cards. They may also instruct idols to lie about their age in public interviews and profiles. In some cases, companies may even create entirely new identities for their idols, including a fake age. These practices are often done to appeal to a certain demographic or to fit a specific image or concept for the idol group. However, faking an idol's age can lead to legal and ethical issues, as well as damage to the idol's reputation if the truth is revealed.

• ### At which Kpop entertainment companies can one apply online?

One can apply online for Kpop entertainment companies such as SM Entertainment, JYP Entertainment, YG Entertainment, and Big Hit Entertainment (now known as HYBE Corporation). These companies often have online audition portals where aspiring Kpop idols can submit their applications, videos, and other materials for consideration. Additionally, some companies may also have specific online application forms for trainee or internship positions.

• ### Which K-Pop entertainment companies can you apply to through Instagram?

Some K-Pop entertainment companies that accept applications through Instagram include SM Entertainment, JYP Entertainment, and Big Hit Entertainment (now known as HYBE Corporation). These companies often hold auditions and scouting events through their official Instagram accounts, where aspiring artists can showcase their talents by submitting videos or photos. It is important to regularly check the companies' social media accounts for updates on audition opportunities and application procedures.

• ### At which K-Pop entertainment companies can one apply through Instagram?

Some K-Pop entertainment companies that accept auditions through Instagram include SM Entertainment, JYP Entertainment, and Big Hit Entertainment (now known as HYBE Corporation). These companies often post audition announcements on their official Instagram accounts, providing instructions on how to apply. Aspiring K-Pop idols can follow these companies on Instagram and stay updated on any upcoming audition opportunities.

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