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The Functions in QMGsurvey III

Laurin J. Felder edited this page Mar 22, 2023 · 27 revisions

ATTENTION: This page is still under construction!

cqmgScan

SeedRandom in advance recommended; Scans the chosen leaf via random curves.

cqmgCoordinates

Constructs local coordinates for the chosen leaf.

cqmgPointToolsINIT

For internal use; Initialzation function of cqmgPointInTileQ, cqmgPointsInTile, cqmgFindOptimalPointInTile and cqmgFilledTileQ; these perform important calculations in the context of tilings.

cqmgIntegrandsINIT

For internal use; Initialzation function of cqmgIntegrands; cqmgIntegrands calculates the integrands for integration over the chosen leaf.

cqmgIntegrateTile

Integrates over a given tile.

cqmgIntegrateTiling

Integrates over a tiling.

cqmgQuantization

Processes the output of cqmgIntegrateTiling in the context of quantization.

cqmgIntegrateTilePreview

Preview of cqmgIntegrateTile; only calculates local coordinates.

cqmgIntegrateTilingPreview

Preview of cqmgIntegrateTiling; only calculates a covering with local coordinates.

cqmgCustomIntegrateTiling

Integrates custom functions over a tiling via the output of cqmgIntegrateTiling.

cqmgKaehlerCostINIT

Initialization function of cqmgKaehlerCost; cqmgKaehlerCost calculates the Kähler cost for a given linear subspace of the tangent space.

cqmgKaehlerCostEXTR

Extraction function of cqmgKaehlerCost; cqmgKaehlerCost calculates the Kähler cost for a given linear subspace of the tangent space.

cqmgKaehler

Simplified function built on cqmgKaehlerCost; calculates the Kähler cost for a given linear subspace of the tangent space.

cqmgKaehlerForLeaf

Calculates the Kähler cost for the chosen leaf.

cqmgKaehlerForRandom

SeedRandom in advance recommended; calculates the Kähler cost for random subspaces.

cqmgComparePoissonStructures

Calculates the Poisson structure induced by omega in the form of theta for a given point.

cqmgQuantizationValidation

SeedRandom in advance recommended; performs various checks that validate the quality of the semiclassical limit based on the output of cqmgIntegrateTiling.

cqmgQuantizationValidationPresent

SeedRandom in advance recommended; constructs a table with the most interesting output of cqmgQuantizationValidation.

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