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Diffstat (limited to 'src/Alpha_complex/utilities/README')
| -rw-r--r-- | src/Alpha_complex/utilities/README | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/src/Alpha_complex/utilities/README b/src/Alpha_complex/utilities/README index 30e1b187..abb17bf7 100644 --- a/src/Alpha_complex/utilities/README +++ b/src/Alpha_complex/utilities/README @@ -5,14 +5,14 @@ This program computes the persistent homology with coefficient field Z/pZ of the `p dim b d` -where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p = p1*...*pr` is the product of prime numbers *pi* such that the homology feature exists in homology with *Z/piZ* coefficients). +where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p` must be a prime number). **Usage** `alpha_complex_3d_persistence <input OFF file> <p> <min_persistence>` where `<input OFF file>` is the path to the input point cloud in OFF format. `<p>` is the characteristic p of the coefficient field *Z/pZ* for computing homology. It must be a stricly positive integer. -`<min_persistence>` is the minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals. It must be a floating-point number >= -1. +`<min_persistence>` is the minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals. **Example** `alpha_complex_3d_persistence ../../data/points/tore3D_300.off 2 0.45` @@ -45,14 +45,14 @@ This program computes the persistent homology with coefficient field Z/pZ of the `p dim b d` -where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p = p1*...*pr` is the product of prime numbers *pi* such that the homology feature exists in homology with *Z/piZ* coefficients). +where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p` must be a prime number). **Usage** `periodic_alpha_complex_3d_persistence <input OFF file> <p> <min_persistence>` where `<input OFF file>` is the path to the input point cloud in OFF format. `<p>` is the characteristic p of the coefficient field *Z/pZ* for computing homology. It must be a stricly positive integer. -`<min_persistence>` is the minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals. It must be a floating-point number >= -1. +`<min_persistence>` is the minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals. **Example** `periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off ../../data/points/iso_cuboid_3_in_0_1.txt 3 1.0` @@ -93,7 +93,7 @@ This program computes the persistent homology with coefficient field Z/pZ of the `p dim b d` -where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p = p1*...*pr` is the product of prime numbers pi such that the homology feature exists in homology with Z/piZ coefficients). +where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p` must be a prime number). **Usage** `alpha_complex_persistence [options] <OFF input file>` |