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mjjoga
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so I have 1/(n-2). I have that n>max(epsilon+2,1). I need to get 1/(n-2) < epsilon. I know that 1/(n-2)<1/(epsilon+2-2)=1/epsilon. but 1/epsilon is not always less than epsilon. can you see any errors?
Epsilon is typically a small positive number that is much closer to 0 than it is to 1. Unless epsilon is negative, epsilon + 2 will be larger than 1.mjjoga said:so I have 1/(n-2). I have that n>max(epsilon+2,1). I need to get 1/(n-2) < epsilon. I know that 1/(n-2)<1/(epsilon+2-2)=1/epsilon. but 1/epsilon is not always less than epsilon. can you see any errors?
Inequalities can be manipulated in scientific research to better understand relationships between variables and to test hypotheses. By manipulating inequalities, scientists can determine the direction and strength of a relationship between two or more variables, and make predictions about how changing one variable may impact another.
Inequalities can be manipulated using mathematical operations such as addition, subtraction, multiplication, and division. They can also be manipulated by changing the values of variables or by introducing new variables into the equation. Additionally, inequalities can be manipulated through experiments or simulations.
Scientists use statistical methods and controls to ensure the validity and reliability of their manipulations of inequalities. This includes using appropriate sample sizes, controlling for confounding variables, and conducting multiple trials to reduce the impact of chance or random variation.
Some common challenges include identifying the appropriate variables to manipulate, selecting the most appropriate statistical methods, and interpreting the results correctly. Scientists also need to consider ethical considerations when manipulating inequalities, such as ensuring that all participants are treated fairly and respecting their rights and privacy.
By manipulating inequalities, scientists can gain a deeper understanding of the relationships between variables and make predictions about how these relationships may change under different conditions. This can lead to the development of new theories and the advancement of scientific knowledge in a particular field.