D-dimensional vs. n-dimensional ?

  • Thread starter Thread starter dimensionless
  • Start date Start date
Click For Summary
SUMMARY

The terms "d-dimensional" and "n-dimensional" are interchangeable in mathematical contexts. "d" refers to the first letter of "dimension," while "n" is commonly used to denote positive integers, representing the number of dimensions. Both terms convey the same concept of dimensionality in various fields, including mathematics and computer science. There is no substantive difference in meaning between the two terms.

PREREQUISITES
  • Understanding of basic mathematical concepts, specifically dimensions.
  • Familiarity with mathematical notation and terminology.
  • Knowledge of how dimensions apply in fields like geometry and data science.
  • Awareness of the significance of positive integers in mathematical contexts.
NEXT STEPS
  • Explore the implications of dimensionality in data analysis using tools like Python's NumPy.
  • Study the role of dimensions in machine learning algorithms, particularly in feature space.
  • Learn about the geometric interpretation of dimensions in Euclidean and non-Euclidean spaces.
  • Investigate the application of dimensionality reduction techniques, such as PCA (Principal Component Analysis).
USEFUL FOR

Mathematicians, data scientists, and anyone interested in understanding the concepts of dimensionality in various applications, including geometry and machine learning.

dimensionless
Messages
460
Reaction score
1
d-dimensional vs. n-dimensional ??

Is there any difference to the meaning of these terms? I'm keep running across both of them.
 
Physics news on Phys.org


No difference at all. One is using "d" because that is the first letter of "dimension", the other "n" because (normal) dimensions are positive integers and "n" is standard usage for positive integers.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 27 ·
Replies
27
Views
6K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 5 ·
Replies
5
Views
942
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 10 ·
Replies
10
Views
4K