Intent notes for "Schaum's outline of theory and problems of mathematics for physics students"

intent.md

Schaum's outline of theory and problems of mathematics for physics students

Concepts with notations (are they within Intent Core?)

1. plus
2. minus
3. times
4. divide
5. divisible-by
6. equal
7. not-equal
8. smaller-than
9. greater-than
10. smaller-or-equal
11. greater-or-equal
12. power
13. square-root
14. root
15. ellipsis
16. vertical-ellipsis
17. pair
18. tuple
19. percent
20. ratio
21. repeating-decimal
22. point
23. gcd (greatest-common-divisor)
24. lcd (least-common-denominator)
25. absolute-value
26. limit lim
27. tends-to
28. defined-as (line defined via equation, e.g. l : 2x + 1 = 0)
29. index
30. circled (used around <mn> numbers in "successive remainder" of a derivation)
31. imaginary-unit
32. infinity
33. evaluated-at
34. partial-derivative
35. first-derivative
36. second-derivative
37. third-derivative
38. derivative
39. differential
40. open-interval
41. closed-interval
42. open-closed-interval
43. closed-open-interval
44. integral
45. indefinite-integral
46. definite-integral
47. summation
48. factorial
49. combination
50. probability
51. set
52. intersection
53. union
54. sine
55. cosine
56. tangent
57. cotangent
58. secant
59. cosecant
60. arcsine
61. arccosine
62. arctangent
63. arccotangent
64. arcsecant
65. arccosecant
66. hyperbolic-sine
67. hyperbolic-cosine
68. hyperbolic-tangent
69. hyperbolic-cotangent
70. hyperbolic-secant
71. hyperbolic-cosecant
72. ray
73. directed-line-segment
74. segment
75. line
76. angle
77. inverse
78. name (do we use _($piece1,$piece2,...$piecen) or name($piece1,...)?)
79. logarithm
80. natural-logarithm
81. pi
82. cross-product (vector-product)
83. defined-as
84. vector
85. magnitude
86. scalar-product (dot-product)
87. polar-coordinate
88. determinant
89. binomial-coefficient
90. congruent
91. triple-of-direction-cosines (just triple?)
92. floor
93. ceiling
94. euler-number
95. Q: list-of-lists? e.g. (1,6; 6,1; 2,5; 5,2; 3,4; 4,3)
96. del-operator (used for gradient, diverge and curl, wiki)

Misc

1. list-separator
2. time-separator
3. interval-separator
4. where-separator ( : such-that?)

• some uses of ↔ and → which had unclear terminology, used in physics relationships
  • would have been equilibrium and yields in chemistry
  • or potentially if-and-only-if and maps-to in mathematics
  • but I am not sure what the physics nomenclature is

Units

1. foot ft

2. pound lbs

3. radian rad

4. meter m

5. kilometer km

6. centimeter cm

7. hour hr, h

8. year yr

9. minute min , ′

10. second s, ′′

11. dollar $

12. degree °

13. kelvin K

14. celsius C

15. fahrenheit F

16. mile mi

17. east E

18. west W

19. north N

20. south S

21. per s^{-1} ( "per second"? discussion)

22. Appendix B: table of 24 unit conversions

    • 

23. Appendix C,E: physical constants

    • speed-of-light, gravitational-constant, electron-mass, proton-mass, neutron-mass, electron-charge, plancks-constant, permitivity-constant, permeability-constant, bohr-radius
    • gravity-of-earth-surface, equatorial-radius-of-earth,
    • 

24. Greek prefixes:

    • atto, femto, pico, nano, micro, milli, centi, deci, deka, hecto, kilo, mega, giga, tera, peta

physics

1. fermi fm
2. farad F
3. microfarad μF
4. coulomb C
5. volt V
6. kilovolt kV
7. ampere A
8. watt W
9. joule J
10. newton N
11. ohm Ω
12. hertz Hz
13. siemens S
14. henry H
15. milligram mg
16. microampere mA

chemistry

1. atomic-mass {}^{227} Ac
2. isotope C^{14}

PROPERTIES

1. :quotient
2. :system-of-equations
   • Note: there is also a curious use of a matrix with a vertical border writing only the coefficients in each <tr>, the rest being understood
3. :group
   • parentheticals? Or is it intent values of paren-group, bracket-group, brace-group,...
4. :charge (e.g. +q in physics)
5. :permutation
6. :matrix
7. :chemical-formula
8. :unit

Thank you for the extended detail. This is exactly the kind of information we should include in whichever note describes :unit and other properties like it, so that they can be both generated and consumed with some confidence.