Lagrangian
1
9.9
- noun
- /ləˈɡræn.dʒən/
- Specialized
- To analyze the motion of a particle, we can use the Lagrangian, which captures its dynamics.
- Lagrangian point
- QCD Lagrangian
- effective Lagrangian
Examples
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The coefficient of a dimension-D operator in the Lagrangian has units of energy raised to the power 4 - D.
Academic text (2004) -
The most recent Lagrangian-point mission was Genesis, which was launched about five weeks after WMAP in August 2001.
Academic text (2005) -
Where L is a Lagrangian, r is a position vector, and F is an external term.
Academic text (1995) -
H&C&G all just come from the Lagrangian and B.
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These are terms in the Lagrangian which take a fermion.
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So it's the unique leading order Lagrangian for the CN field.
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Additionally, some mission planners have been growing creative with the Lagrangian points.
Academic text (2005) -
A penalty is paid in that it takes about 100 days to reach the vicinity of the Lagrangian point.
Academic text (2005) -
Consider the fermionic part (that is, the first two terms) of the Lagrangian given in equation 1.
Academic text (2004) -
One can extend the QED Lagrangian by adding other standard-model fields or higher-dimension interactions.
Academic text (2004)
Surface Forms
Morphology
Lagrangian = Lagrange (semi-transparent) = Lagrange + ian
The form is clearly built from the name Lagrange plus the adjectival suffix -ian, but the technical mathematical meaning is specialized rather than fully predictable for a learner.
Etymology
Lagrangian comes from the French mathematician Lagrange and the ending -ian, which means 'named after' or 'of or relating to'. A Lagrangian is the function named for him that shows how a physical system moves, so the name tells you this key formula comes from Lagrange's work.