Welcome to Ideal Flow Network (IFN)’s documentation!

Contents:

• Overview
  • Main Classes
  • Example Usage
  • Categories
  • Applications Layer
• Ideal Flow Network (IFN) - Beginner’s Guide
  • How To Install:
• Basic Use of IFN
  • Basic Data Structure of IFN
  • Expandable Network
  • Indicators
  • Testing
  • Ideal Flow Network
• IFN Tutorial for General Network
  • How to Install
  • Using Ideal Flow Network
    • Notations
    • Terminologies:
• General Network
  • Path
    • Find Path
    • Find All Possible Paths
    • Shortest Path
    • All Shortest Path
    • Testing Path
    • Set Path
    • Network Properties
  • More Examples
  • Ideal Flow Network
• IFN Tutorial
  • IFN from Links
  • IFN from Matrix
  • IFN from Trajectories
  • IFN from Cycles
  • Equivalent IFN
    • Equivalent IFN
• How to Apply IFN in Your Field of Study?
  • Applying Ideal Flow Networks (IFN) Across Various Fields
  • How IFN Learns
    • Key Concepts Across Fields
    • Understanding IFN in Decision-Making
    • IFN in Natural Language Processing (NLP)
    • IFN in Image Processing and Color Harmony
    • IFN in Computer Vision
    • IFN in Time Series Analysis
    • IFN in Music Harmony
    • IFN in Medicine
    • IFN in Transportation
  • Summary Table
  • Why IFN is Powerful and Can Be Used to Solve Problems
  • Conclusion
• IFN for Classification of Data Table (Supervised Learning)
  • Data Preparation
• Transportation Mode Choice
  • Prediction
  • Random Generation of Data
• IFN Tutorial for Natural Language Processing
• IFN Spirituality, System Thinking and Morality
  • The Spirituality of IFN
  • Our Belief
  • Values and Principles of IFN:
  • Abstractions and Life Lessons from IFN:
    • Integrity and Honesty in IFN
    • System Thinking and Karma
    • The Value of Feedback Systems
      • Morality and Logic through IFN
• Data Structure
  • 1. Network Directed Graph
  • 2. Matrix Representation
  • Naming Conventions
  • Coding Standards
• Unit Tests
• Ideal Flow Package
  • Module contents
  • Submodules
  • IdealFlow.Command module
    • CommandLine
      • CommandLine.ifnc
      • CommandLine.controller()
      • CommandLine.__str_help__()
      • CommandLine.controller()
  • IdealFlow.Network module
    • Ideal Flow Network
    • IFN
      • IFN.abs_diff_capacity_flow()
      • IFN.add_first_link()
      • IFN.add_last_link()
      • IFN.add_link()
      • IFN.add_node()
      • IFN.add_random_ones()
      • IFN.adj_list_to_matrix()
      • IFN.adjacency_to_ideal_flow()
      • IFN.adjacency_to_stochastic()
      • IFN.all_shortest_path()
      • IFN.alphabet_list()
      • IFN.assign()
      • IFN.assign_adjacency_list()
      • IFN.assign_cycle_to_matrix()
      • IFN.association_predict_actor_net()
      • IFN.association_predict_trajectory()
      • IFN.association_train()
      • IFN.average_flow
      • IFN.average_flow_matrix()
      • IFN.average_node_entropy
      • IFN.average_node_entropy_matrix()
      • IFN.average_node_entropy_ratio
      • IFN.average_node_entropy_ratio_matrix()
      • IFN.backtracking()
      • IFN.backtracking_cycle_limit()
      • IFN.bfs()
      • IFN.bfs_until()
      • IFN.binarized_matrix()
      • IFN.canonize()
      • IFN.canonize_cycle_dict()
      • IFN.canonize_signature()
      • IFN.capacity_to_adjacency()
      • IFN.capacity_to_balance_inflow_outflow()
      • IFN.capacity_to_congestion()
      • IFN.capacity_to_ideal_flow()
      • IFN.capacity_to_stochastic()
      • IFN.cardinal_ifn_signature()
      • IFN.change_flow_in_cycle()
      • IFN.color_graph()
      • IFN.combinations()
      • IFN.complement()
      • IFN.complete_graph()
      • IFN.compose()
      • IFN.congestion()
      • IFN.copy_dict()
      • IFN.cov_flow
      • IFN.cov_flow_matrix()
      • IFN.create_node_mapping()
      • IFN.cycle_dict_to_signature()
      • IFN.cycle_length()
      • IFN.cycle_sum_weight()
      • IFN.decimal_to_fraction()
      • IFN.decompose()
      • IFN.delete_link()
      • IFN.delete_node()
      • IFN.density
      • IFN.dfs()
      • IFN.dfs_adj_list()
      • IFN.dfs_until()
      • IFN.diameter
      • IFN.difference()
      • IFN.duplicate()
      • IFN.equivalent_ifn()
      • IFN.excel_col_to_num()
      • IFN.extract_first_k_terms()
      • IFN.extract_last_k_terms()
      • IFN.find_a_cycle()
      • IFN.find_all_cycles_in_adj_list()
      • IFN.find_all_cycles_in_matrix()
      • IFN.find_all_paths()
      • IFN.find_all_permutation_cycles()
      • IFN.find_all_walks_in_matrix()
      • IFN.find_cardinal_ifn_signature_exhaustive()
      • IFN.find_cycles()
      • IFN.find_element_in_list()
      • IFN.find_key_in_dict()
      • IFN.find_path()
      • IFN.find_path_cycle_limit()
      • IFN.find_pivot_type()
      • IFN.find_pivots()
      • IFN.flow_matrix_to_adj_list()
      • IFN.flows_in_cycle()
      • IFN.form_link_cycle_matrix()
      • IFN.from_base62()
      • IFN.generate()
      • IFN.generate_combinations()
      • IFN.generate_random_terms()
      • IFN.get_data()
      • IFN.get_link_flow()
      • IFN.get_links
      • IFN.get_matrix()
      • IFN.get_path()
      • IFN.get_path_entropy()
      • IFN.get_path_probability()
      • IFN.global_scaling()
      • IFN.hadamard_division()
      • IFN.has_pivot()
      • IFN.ideal_flow()
      • IFN.ideal_flow_to_stochastic()
      • IFN.identify_unique_nodes()
      • IFN.in_degree
      • IFN.in_neighbors()
      • IFN.in_weight
      • IFN.intersect()
      • IFN.inverse_dict()
      • IFN.is_acyclic
      • IFN.is_bipartite
      • IFN.is_connected
      • IFN.is_contain_cycle
      • IFN.is_cycle_canonical()
      • IFN.is_cycle_has_coef_1()
      • IFN.is_edge_in_cycle()
      • IFN.is_equal_network()
      • IFN.is_equal_signature()
      • IFN.is_equivalent_ifn()
      • IFN.is_eulerian_cycle
      • IFN.is_ideal_flow
      • IFN.is_ideal_flow_matrix()
      • IFN.is_irreducible_matrix()
      • IFN.is_irreducible_signature()
      • IFN.is_non_empty_adj_list()
      • IFN.is_non_negative_matrix()
      • IFN.is_path()
      • IFN.is_positive_matrix()
      • IFN.is_premagic
      • IFN.is_premagic_matrix()
      • IFN.is_premier_matrix()
      • IFN.is_premier_signature()
      • IFN.is_reachable()
      • IFN.is_row_stochastic_matrix()
      • IFN.is_square_matrix()
      • IFN.is_strongly_connected
      • IFN.is_trajectory_cycle()
      • IFN.is_valid_signature()
      • IFN.kappa()
      • IFN.link_combination()
      • IFN.link_cycle_matrix()
      • IFN.link_permutation()
      • IFN.load()
      • IFN.load_adj_list()
      • IFN.markov()
      • IFN.match()
      • IFN.matrix_apply_cycle()
      • IFN.matrix_replace_value()
      • IFN.matrix_to_adj_list()
      • IFN.max_flow
      • IFN.max_flow_matrix()
      • IFN.max_flow_path()
      • IFN.max_network_entropy()
      • IFN.merge_adjacency_list()
      • IFN.merge_signatures()
      • IFN.min_flow
      • IFN.min_flow_matrix()
      • IFN.min_flow_path()
      • IFN.min_irreducible()
      • IFN.network_delete_cloud()
      • IFN.network_entropy
      • IFN.network_entropy_matrix()
      • IFN.network_entropy_ratio
      • IFN.network_entropy_ratio_matrix()
      • IFN.network_probability
      • IFN.node_index()
      • IFN.node_name()
      • IFN.nodes
      • IFN.nodes_flow
      • IFN.num_to_excel_col()
      • IFN.num_to_str_fraction()
      • IFN.order_markov_higher()
      • IFN.order_markov_lower()
      • IFN.out_degree
      • IFN.out_neighbors()
      • IFN.out_weight
      • IFN.overlay()
      • IFN.parse_cycle()
      • IFN.parse_terms_to_dict()
      • IFN.path_distance()
      • IFN.path_length()
      • IFN.path_sum_weight()
      • IFN.permutations()
      • IFN.premier_ifn()
      • IFN.premier_signature()
      • IFN.query()
      • IFN.query_cycle_limit()
      • IFN.rand_capacity()
      • IFN.rand_ifn_signature()
      • IFN.rand_int()
      • IFN.rand_irreducible()
      • IFN.rand_permutation_eye()
      • IFN.rand_stochastic()
      • IFN.random_cycle_from()
      • IFN.random_ideal_flow_matrix()
      • IFN.random_ifn()
      • IFN.random_irreducible_stochastic()
      • IFN.random_walk_cycle()
      • IFN.random_walk_from()
      • IFN.random_walk_matrix()
      • IFN.random_walk_nodes()
      • IFN.read_csv()
      • IFN.reduce_link_flow()
      • IFN.reindex()
      • IFN.relabel_signature()
      • IFN.reverse_network()
      • IFN.reverse_relabel_signature()
      • IFN.row_stochastic
      • IFN.save()
      • IFN.save_adj_list()
      • IFN.set_data()
      • IFN.set_link_weight()
      • IFN.set_link_weight_plus_1()
      • IFN.set_matrix()
      • IFN.set_path()
      • IFN.shortest_path()
      • IFN.show()
      • IFN.signature_coef_to_1()
      • IFN.signature_to_adj_list()
      • IFN.signature_to_coef_flow()
      • IFN.signature_to_column_stochastic()
      • IFN.signature_to_ideal_flow()
      • IFN.signature_to_kappa()
      • IFN.signature_to_link_flow()
      • IFN.signature_to_links()
      • IFN.signature_to_max_flow()
      • IFN.signature_to_min_flow()
      • IFN.signature_to_num_links()
      • IFN.signature_to_num_nodes()
      • IFN.signature_to_pivots()
      • IFN.signature_to_row_stochastic()
      • IFN.signature_to_sum_cols()
      • IFN.signature_to_sum_rows()
      • IFN.solve_cycles()
      • IFN.stationary_markov_chain()
      • IFN.stdev_flow
      • IFN.stdev_flow_matrix()
      • IFN.stochastic_to_entropy_ratio()
      • IFN.stochastic_to_ideal_flow()
      • IFN.stochastic_to_network_entropy()
      • IFN.stochastic_to_pi()
      • IFN.stochastic_to_probability()
      • IFN.str_to_num()
      • IFN.string_to_matrix()
      • IFN.sum_dict_values()
      • IFN.sum_of_col()
      • IFN.sum_of_row()
      • IFN.to_adjacency_matrix()
      • IFN.to_base62()
      • IFN.to_equal_inflow()
      • IFN.to_equal_outflow()
      • IFN.to_graph()
      • IFN.to_markov_order()
      • IFN.total_flow
      • IFN.total_links
      • IFN.total_nodes
      • IFN.trajectory_to_links()
      • IFN.union()
      • IFN.universe()
      • IFN.unlearn()
      • IFN.weighted_random_choice()
• IdealFlow
  • Ideal Flow Package
    • Module contents
    • Submodules
    • IdealFlow.Command module
      • CommandLine
        • CommandLine.ifnc
        • CommandLine.controller()
        • CommandLine.__str_help__()
        • CommandLine.controller()
    • IdealFlow.Network module
      • Ideal Flow Network
      • IFN
        • IFN.abs_diff_capacity_flow()
        • IFN.add_first_link()
        • IFN.add_last_link()
        • IFN.add_link()
        • IFN.add_node()
        • IFN.add_random_ones()
        • IFN.adj_list_to_matrix()
        • IFN.adjacency_to_ideal_flow()
        • IFN.adjacency_to_stochastic()
        • IFN.all_shortest_path()
        • IFN.alphabet_list()
        • IFN.assign()
        • IFN.assign_adjacency_list()
        • IFN.assign_cycle_to_matrix()
        • IFN.association_predict_actor_net()
        • IFN.association_predict_trajectory()
        • IFN.association_train()
        • IFN.average_flow
        • IFN.average_flow_matrix()
        • IFN.average_node_entropy
        • IFN.average_node_entropy_matrix()
        • IFN.average_node_entropy_ratio
        • IFN.average_node_entropy_ratio_matrix()
        • IFN.backtracking()
        • IFN.backtracking_cycle_limit()
        • IFN.bfs()
        • IFN.bfs_until()
        • IFN.binarized_matrix()
        • IFN.canonize()
        • IFN.canonize_cycle_dict()
        • IFN.canonize_signature()
        • IFN.capacity_to_adjacency()
        • IFN.capacity_to_balance_inflow_outflow()
        • IFN.capacity_to_congestion()
        • IFN.capacity_to_ideal_flow()
        • IFN.capacity_to_stochastic()
        • IFN.cardinal_ifn_signature()
        • IFN.change_flow_in_cycle()
        • IFN.color_graph()
        • IFN.combinations()
        • IFN.complement()
        • IFN.complete_graph()
        • IFN.compose()
        • IFN.congestion()
        • IFN.copy_dict()
        • IFN.cov_flow
        • IFN.cov_flow_matrix()
        • IFN.create_node_mapping()
        • IFN.cycle_dict_to_signature()
        • IFN.cycle_length()
        • IFN.cycle_sum_weight()
        • IFN.decimal_to_fraction()
        • IFN.decompose()
        • IFN.delete_link()
        • IFN.delete_node()
        • IFN.density
        • IFN.dfs()
        • IFN.dfs_adj_list()
        • IFN.dfs_until()
        • IFN.diameter
        • IFN.difference()
        • IFN.duplicate()
        • IFN.equivalent_ifn()
        • IFN.excel_col_to_num()
        • IFN.extract_first_k_terms()
        • IFN.extract_last_k_terms()
        • IFN.find_a_cycle()
        • IFN.find_all_cycles_in_adj_list()
        • IFN.find_all_cycles_in_matrix()
        • IFN.find_all_paths()
        • IFN.find_all_permutation_cycles()
        • IFN.find_all_walks_in_matrix()
        • IFN.find_cardinal_ifn_signature_exhaustive()
        • IFN.find_cycles()
        • IFN.find_element_in_list()
        • IFN.find_key_in_dict()
        • IFN.find_path()
        • IFN.find_path_cycle_limit()
        • IFN.find_pivot_type()
        • IFN.find_pivots()
        • IFN.flow_matrix_to_adj_list()
        • IFN.flows_in_cycle()
        • IFN.form_link_cycle_matrix()
        • IFN.from_base62()
        • IFN.generate()
        • IFN.generate_combinations()
        • IFN.generate_random_terms()
        • IFN.get_data()
        • IFN.get_link_flow()
        • IFN.get_links
        • IFN.get_matrix()
        • IFN.get_path()
        • IFN.get_path_entropy()
        • IFN.get_path_probability()
        • IFN.global_scaling()
        • IFN.hadamard_division()
        • IFN.has_pivot()
        • IFN.ideal_flow()
        • IFN.ideal_flow_to_stochastic()
        • IFN.identify_unique_nodes()
        • IFN.in_degree
        • IFN.in_neighbors()
        • IFN.in_weight
        • IFN.intersect()
        • IFN.inverse_dict()
        • IFN.is_acyclic
        • IFN.is_bipartite
        • IFN.is_connected
        • IFN.is_contain_cycle
        • IFN.is_cycle_canonical()
        • IFN.is_cycle_has_coef_1()
        • IFN.is_edge_in_cycle()
        • IFN.is_equal_network()
        • IFN.is_equal_signature()
        • IFN.is_equivalent_ifn()
        • IFN.is_eulerian_cycle
        • IFN.is_ideal_flow
        • IFN.is_ideal_flow_matrix()
        • IFN.is_irreducible_matrix()
        • IFN.is_irreducible_signature()
        • IFN.is_non_empty_adj_list()
        • IFN.is_non_negative_matrix()
        • IFN.is_path()
        • IFN.is_positive_matrix()
        • IFN.is_premagic
        • IFN.is_premagic_matrix()
        • IFN.is_premier_matrix()
        • IFN.is_premier_signature()
        • IFN.is_reachable()
        • IFN.is_row_stochastic_matrix()
        • IFN.is_square_matrix()
        • IFN.is_strongly_connected
        • IFN.is_trajectory_cycle()
        • IFN.is_valid_signature()
        • IFN.kappa()
        • IFN.link_combination()
        • IFN.link_cycle_matrix()
        • IFN.link_permutation()
        • IFN.load()
        • IFN.load_adj_list()
        • IFN.markov()
        • IFN.match()
        • IFN.matrix_apply_cycle()
        • IFN.matrix_replace_value()
        • IFN.matrix_to_adj_list()
        • IFN.max_flow
        • IFN.max_flow_matrix()
        • IFN.max_flow_path()
        • IFN.max_network_entropy()
        • IFN.merge_adjacency_list()
        • IFN.merge_signatures()
        • IFN.min_flow
        • IFN.min_flow_matrix()
        • IFN.min_flow_path()
        • IFN.min_irreducible()
        • IFN.network_delete_cloud()
        • IFN.network_entropy
        • IFN.network_entropy_matrix()
        • IFN.network_entropy_ratio
        • IFN.network_entropy_ratio_matrix()
        • IFN.network_probability
        • IFN.node_index()
        • IFN.node_name()
        • IFN.nodes
        • IFN.nodes_flow
        • IFN.num_to_excel_col()
        • IFN.num_to_str_fraction()
        • IFN.order_markov_higher()
        • IFN.order_markov_lower()
        • IFN.out_degree
        • IFN.out_neighbors()
        • IFN.out_weight
        • IFN.overlay()
        • IFN.parse_cycle()
        • IFN.parse_terms_to_dict()
        • IFN.path_distance()
        • IFN.path_length()
        • IFN.path_sum_weight()
        • IFN.permutations()
        • IFN.premier_ifn()
        • IFN.premier_signature()
        • IFN.query()
        • IFN.query_cycle_limit()
        • IFN.rand_capacity()
        • IFN.rand_ifn_signature()
        • IFN.rand_int()
        • IFN.rand_irreducible()
        • IFN.rand_permutation_eye()
        • IFN.rand_stochastic()
        • IFN.random_cycle_from()
        • IFN.random_ideal_flow_matrix()
        • IFN.random_ifn()
        • IFN.random_irreducible_stochastic()
        • IFN.random_walk_cycle()
        • IFN.random_walk_from()
        • IFN.random_walk_matrix()
        • IFN.random_walk_nodes()
        • IFN.read_csv()
        • IFN.reduce_link_flow()
        • IFN.reindex()
        • IFN.relabel_signature()
        • IFN.reverse_network()
        • IFN.reverse_relabel_signature()
        • IFN.row_stochastic
        • IFN.save()
        • IFN.save_adj_list()
        • IFN.set_data()
        • IFN.set_link_weight()
        • IFN.set_link_weight_plus_1()
        • IFN.set_matrix()
        • IFN.set_path()
        • IFN.shortest_path()
        • IFN.show()
        • IFN.signature_coef_to_1()
        • IFN.signature_to_adj_list()
        • IFN.signature_to_coef_flow()
        • IFN.signature_to_column_stochastic()
        • IFN.signature_to_ideal_flow()
        • IFN.signature_to_kappa()
        • IFN.signature_to_link_flow()
        • IFN.signature_to_links()
        • IFN.signature_to_max_flow()
        • IFN.signature_to_min_flow()
        • IFN.signature_to_num_links()
        • IFN.signature_to_num_nodes()
        • IFN.signature_to_pivots()
        • IFN.signature_to_row_stochastic()
        • IFN.signature_to_sum_cols()
        • IFN.signature_to_sum_rows()
        • IFN.solve_cycles()
        • IFN.stationary_markov_chain()
        • IFN.stdev_flow
        • IFN.stdev_flow_matrix()
        • IFN.stochastic_to_entropy_ratio()
        • IFN.stochastic_to_ideal_flow()
        • IFN.stochastic_to_network_entropy()
        • IFN.stochastic_to_pi()
        • IFN.stochastic_to_probability()
        • IFN.str_to_num()
        • IFN.string_to_matrix()
        • IFN.sum_dict_values()
        • IFN.sum_of_col()
        • IFN.sum_of_row()
        • IFN.to_adjacency_matrix()
        • IFN.to_base62()
        • IFN.to_equal_inflow()
        • IFN.to_equal_outflow()
        • IFN.to_graph()
        • IFN.to_markov_order()
        • IFN.total_flow
        • IFN.total_links
        • IFN.total_nodes
        • IFN.trajectory_to_links()
        • IFN.union()
        • IFN.universe()
        • IFN.unlearn()
        • IFN.weighted_random_choice()
• Data Management Methods
• Node Management
• Link Management
• Flow Management
• Adjacency List Operations
• Path and Trajectory Analysis
• Network Indices
• Network Operations
• Matrix Operations
• Stochastic and Probability
• Markov Chain Analysis
• Query and Search Methods
• Neighborhood
• Ideal Flow Network
• Random Walk and Random Cycle
• Entropy
• Cycle Analysis
• Signature Analysis
• Utilities and Helper Methods
• Data Science, Machine Learning and Artificial Intelligence
• Tutorial on Markov Order
• Transportation Analysis

Indices and tables

• Index

• Module Index

• Search Page