What is One dimensional: Definition and 145 Discussions

In physics and mathematics, a sequence of n numbers can specify a location in n-dimensional space. When n = 1, the set of all such locations is called a one-dimensional space. An example of a one-dimensional space is the number line, where the position of each point on it can be described by a single number.In algebraic geometry there are several structures that are technically one-dimensional spaces but referred to in other terms. A field k is a one-dimensional vector space over itself. Similarly, the projective line over k is a one-dimensional space. In particular, if k = ℂ, the complex numbers, then the complex projective line P1(ℂ) is one-dimensional with respect to ℂ, even though it is also known as the Riemann sphere.
More generally, a ring is a length-one module over itself. Similarly, the projective line over a ring is a one-dimensional space over the ring. In case the ring is an algebra over a field, these spaces are one-dimensional with respect to the algebra, even if the algebra is of higher dimensionality.

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    I Work Done/Energy Transferred in One Dimensional Collision

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  2. ayans2495

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  3. Q

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  4. Mikkel

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  5. Y

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  6. A

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  7. P

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  8. G

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  10. Kitty123

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  11. GANTI_RAVITEJA

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  12. T

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  13. T

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  14. DrClaude

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  15. L

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  16. M

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  17. C

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  18. G

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  19. T

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  20. T

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  21. T

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  22. D

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  23. C

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  24. L

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  25. R

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  26. P

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  28. N

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  29. B

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  30. J-dizzal

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  31. PsychonautQQ

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  33. AdityaDev

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  34. T

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  35. T

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  36. I

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  37. RJLiberator

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  38. F

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  39. S

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  40. P

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  41. M

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  42. J

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  43. C

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  44. S

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  45. L

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  46. M

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  47. T

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  48. L

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  49. PsychonautQQ

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  50. ShayanJ

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