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Leer Exponentiation | Basic Syntax and Operations
R Introduction: Part I
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Cursusinhoud

R Introduction: Part I

R Introduction: Part I

1. Basic Syntax and Operations
2. Basic Data Types and Vectors
3. Factors

book
Exponentiation

Exponentiation is another fundamental mathematical operation, which is readily available in R's base functionality.

In the context of finance, this operation plays a critical role in the computation of compound interest, which is pivotal for understanding the growth of loans or investments over time.

To exponentiate a number a to the power of n in R, the syntax is a^n. Interestingly, if you're familiar with Python, you might recognize the ** operator, which can also be used in R (a**n).

Let's consider an example related to probability and combinatorics: finding the number of possible outcomes when throwing three dice:

In this case, we calculate it as 6 (the number of outcomes for one die) raised to the power of 3 (the number of dice). Here is the code for this example:

12
# Number of possible outcomes 6^3
copy

As you can see, this results in 6^3, which equals 216 possible outcomes.

Taak

Swipe to start coding

Let's say you invested $1,000 at an annual interest rate of 13%. To calculate the total amount of money you would accumulate over a period of 4 years with compound interest, you would perform the following calculation:

Compute the product of 1000 and 1.13 raised to the power of 4.

Oplossing

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Sectie 1. Hoofdstuk 6
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book
Exponentiation

Exponentiation is another fundamental mathematical operation, which is readily available in R's base functionality.

In the context of finance, this operation plays a critical role in the computation of compound interest, which is pivotal for understanding the growth of loans or investments over time.

To exponentiate a number a to the power of n in R, the syntax is a^n. Interestingly, if you're familiar with Python, you might recognize the ** operator, which can also be used in R (a**n).

Let's consider an example related to probability and combinatorics: finding the number of possible outcomes when throwing three dice:

In this case, we calculate it as 6 (the number of outcomes for one die) raised to the power of 3 (the number of dice). Here is the code for this example:

12
# Number of possible outcomes 6^3
copy

As you can see, this results in 6^3, which equals 216 possible outcomes.

Taak

Swipe to start coding

Let's say you invested $1,000 at an annual interest rate of 13%. To calculate the total amount of money you would accumulate over a period of 4 years with compound interest, you would perform the following calculation:

Compute the product of 1000 and 1.13 raised to the power of 4.

Oplossing

Switch to desktopSchakel over naar desktop voor praktijkervaringGa verder vanaf waar je bent met een van de onderstaande opties
Was alles duidelijk?

Hoe kunnen we het verbeteren?

Bedankt voor je feedback!

Sectie 1. Hoofdstuk 6
Switch to desktopSchakel over naar desktop voor praktijkervaringGa verder vanaf waar je bent met een van de onderstaande opties
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