Question

In: Math

1.create and solve Example of Mathematical induction uses in real life.   

1.create and solve Example of Mathematical induction uses in real life.   

Solutions

Expert Solution

The logic behind mathematical induction is present in various academic fields such as biology, chemistry, philosophy, economics, and politics.

Example of Biology: Paradox of enrichment: Increasing the food available to an ecosystem may lead to instability, and even to extinction.

Example of Chemistry: Faraday paradox (electrochemistry): Diluted nitric acid will corrode steel, while concentrated nitric acid doesn't.

Example of Philosophy: Chicken or the egg: Which came first, the chicken or the egg?

Example of Economics: Diamond-water paradox (or paradox of value) Water is more useful than diamonds, yet is a lot cheaper.

Example of Politics: Stability-instability paradox: When two countries each have nuclear weapons, the probability of a direct war between them greatly decreases, but the probability of minor or indirect conflicts between them increases.

These are several examples.


Related Solutions

Provide an example of a proof by mathematical induction. Indicate whether the proof uses weak induction...
Provide an example of a proof by mathematical induction. Indicate whether the proof uses weak induction or strong induction. Clearly state the inductive hypothesis. Provide a justification at each step of the proof and highlight which step makes use of the inductive hypothesis.
Description: budget Students will create a real-life budget that utilizes the mathematical operators to show monthly...
Description: budget Students will create a real-life budget that utilizes the mathematical operators to show monthly income, semiannual income, and an annual income. Students will use correct recognizable variables to describe each budgeted item. Please do not use single letter variables points will be deducted. Be sure to use proper documentation regarding comments to identify what you are doing in each part of your code. List of budgeted items: Monthly donations such as charities, special-needs, offerings, homeless. Other items that...
What is similarity and difference between first principle induction mathematical and second principle induction mathematical ?...
What is similarity and difference between first principle induction mathematical and second principle induction mathematical ? When to use each principle? are there characteristics that distinguish the issue to be solved by the first or second principle?!
Real life example of uses of performance appraisal during recruitment and selection
Real life example of uses of performance appraisal during recruitment and selection
Prove that the proof by mathematical induction and the proof by strong induction are equivalent
Prove that the proof by mathematical induction and the proof by strong induction are equivalent
Please find (online) and explain an example of a real life percentage, and a real life...
Please find (online) and explain an example of a real life percentage, and a real life example of a rate OR ratio. You will want to find examples that come from real research (a Google search will be helpful). How are these statistics useful? What are the limitations of each (if any)? Posts should be approximately 100 words.
real life example of fairness and reciprocity
real life example of fairness and reciprocity
Use a mathematical induction for Prove a^(2n-1) + b^(2n-1) is divisible by a + b, for...
Use a mathematical induction for Prove a^(2n-1) + b^(2n-1) is divisible by a + b, for n is a positive integer
Do the following problems: a. Use mathematical induction to show that 1 + 2 + 22...
Do the following problems: a. Use mathematical induction to show that 1 + 2 + 22 +···+ 2n = 2n+1 − 1 for all non-negative integers n. b. A coin is weighted so that P(H) = 2/3 and P(T) = 1/3. The coin is tossed 4 times. Let the random variable X denote the number of heads that appear. (x) Find the distribution of X; (xx) Find the expectation E(X). c. Show a derivation of Bayes’ Theorem
Use mathematical induction to prove that for each integer n ≥ 4, 5n ≥ 22n+1 +...
Use mathematical induction to prove that for each integer n ≥ 4, 5n ≥ 22n+1 + 100.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT