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review derivation: frequency and period

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Notes for this derivation:
subset of the frequency relation derivation. Intended for display on the homepage

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Index Inference Rule Input latex Feeds latex Output latex step validity dimension check unit check notes
3 divide both sides by
  1. 2131616531; locally 2414344:
    \(T f = 1\)
    \(pdg_{4201} pdg_{9491} = 1\)
  1. 9565166889:
    \(T\)
    \(pdg_{9491}\)
  1. 2113211456; locally 5564581:
    \(f = 1/T\)
    \(pdg_{4201} = \frac{1}{pdg_{9491}}\)
valid 2131616531:
2113211456:
2131616531:
2113211456:
2 multiply both sides by
  1. 3131111133; locally 6650345:
    \(T = 1 / f\)
    \(pdg_{9491} = \frac{1}{pdg_{4201}}\)
  1. 9040079362:
    \(f\)
    \(pdg_{4201}\)
  1. 2131616531; locally 2414344:
    \(T f = 1\)
    \(pdg_{4201} pdg_{9491} = 1\)
valid 3131111133: dimensions are consistent
2131616531:
3131111133: N/A
2131616531:
4 declare final expr
  1. 2113211456; locally 5564581:
    \(f = 1/T\)
    \(pdg_{4201} = \frac{1}{pdg_{9491}}\)
no validation is available for declarations 2113211456:
2113211456:
1 declare initial expr
  1. 3131111133; locally 6650345:
    \(T = 1 / f\)
    \(pdg_{9491} = \frac{1}{pdg_{4201}}\)
no validation is available for declarations 3131111133: dimensions are consistent
 3131111133: N/A
Physics Derivation Graph: Steps for frequency and period

Symbols for this derivation

See also all 227 symbols
symbol ID category latex scope dimension name value Used in derivations references
9491 variable T
\(T\)		 ['real']
  • time: 1
 period 20
4201 variable f
\(f\)		 ['real']
  • time: -1
 frequency 8
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