Brief description: Basic arithmetic operations tool, supporting addition, subtraction, multiplication, division, and high-precision calculations. //
Examples:
    basic_arithmetic(operation='add', numbers=[1, 2, 3, 4, 5])
    basic_arithmetic(operation='multiply', numbers=[2.5, 3.7], precision=3)

Brief description: Mathematical function calculation tool, supporting trigonometric, logarithmic, exponential functions, etc.
Examples:
    mathematical_functions(function='sin', value=1.57, angle_unit='radians')
    mathematical_functions(function='log', value=100, base=10)

Brief description: Number format conversion tool, supporting base conversion, scientific notation, etc.
Examples:
    number_converter(number='255', from_base=10, to_base=16)
    number_converter(number='1010', from_base=2, to_base=10)

Brief description: Physical unit conversion tool, supporting length, weight, temperature, etc., unit conversions.
Examples:
    unit_converter(value=100, from_unit='cm', to_unit='m', unit_type='length')
    unit_converter(value=32, from_unit='fahrenheit', to_unit='celsius', unit_type='temperature')

Brief description: High-precision numerical calculation tool, supporting arithmetic operations with arbitrary precision.
Examples:
    precision_calculator(numbers=[1.123, 2.987], operation='add', precision_digits=15)
    precision_calculator(numbers=[2], operation='sqrt', precision_digits=20)

Brief description: Numerical property analysis tool, analyzes various mathematical properties of numbers.
Examples:
    number_properties(number=17, analysis_type='comprehensive')
    number_properties(number=100, analysis_type='factor')

Brief description: Matrix and linear algebra calculation tool, supporting basic operations and advanced analysis.
Examples:
    matrix_calculator(operation='multiply', matrix_a=[[1,2],[3,4]], matrix_b=[[5,6],[7,8]])
    matrix_calculator(operation='eigenvalues', matrix_a=[[4,2],[1,3]])

Brief description: Comprehensive statistical analysis tool, supporting descriptive statistics, hypothesis testing, and distribution analysis.
Examples:
    statistics_analyzer(data1=[1,2,3,4,5], analysis_type='descriptive')
    statistics_analyzer(data1=[1,2,3], data2=[4,5,6], analysis_type='comparison')

Brief description: Advanced calculus computation engine, supporting derivatives, integrals, limits, series, and differential equations.
Examples:
    calculus_engine(expression='x**2 + 3*x + 1', operation='derivative', variable='x')
    calculus_engine(expression='sin(x)', operation='integral', variable='x', limits=[0, 3.14159])

Brief description: Professional optimization suite, supporting function optimization, constraint optimization, root finding, and linear programming.
Examples:
    optimization_suite(objective_function='x**2 + y**2', variables=['x', 'y'], operation='minimize')
    optimization_suite(equation='x**2 - 4', operation='find_roots')

Brief description: Regression analysis and machine learning modeling tool, supporting various regression algorithms and prediction functions.
Examples:
    regression_modeler(operation='fit', x_data=[[1], [2], [3]], y_data=[2, 4, 6], model_type='linear')
    regression_modeler(operation='predict', x_data=[[12]], training_x=[[1], [2], [3]], training_y=[2, 4, 6])

Brief description: Mathematical expression evaluation and symbolic computation tool.
Examples:
    expression_evaluator(expression='2*x + 3*y', variables={'x': 5, 'y': 7})
    expression_evaluator(expression='x**2 + 2*x + 1', mode='factor')

Brief description: Data visualization and chart creation tool, supporting various statistical chart types.
Examples:
    create_and_save_chart(chart_type='line', x_data=[1,2,3,4], y_data=[1,4,2,3], title='Line Plot')
    create_and_save_chart(chart_type='histogram', data=[1,2,2,3,3,3,4,4,5], filename='histogram_plot')

Brief description: Mathematical function curve plotting tool, supporting function graph visualization and derivative analysis.
Examples:
    plot_function_curve(function_expression='x**2 + 2*x + 1')
    plot_function_curve(function_expression='sin(x)', x_range=(-6.28, 6.28), filename='sine_wave')

Brief description: Powerful geometry calculation tool, supporting plane geometry, solid geometry, and analytical geometry calculations.
Examples:
    geometry_calculator(shape_type='circle', operation='properties', dimensions={'radius': 5})
    geometry_calculator(shape_type='triangle', operation='area', points=[[0,0], [3,0], [0,4]])

Brief description: Advanced number theory calculation tool, supporting prime testing, factorization, modular arithmetic, etc.
Examples:
    number_theory_calculator(operation='prime_factorization', number=60)
    number_theory_calculator(operation='prime_test', number=97)

Brief description: Professional digital signal processing tool, supporting FFT, filtering, modulation/demodulation, etc.
Examples:
    signal_processing_calculator(operation='generate_signal', signal_type='sine', frequency=10, sampling_rate=1000, duration=1)
    signal_processing_calculator(operation='fft', signal=[1,2,3,4,5,6,7,8], sampling_rate=8)

Brief description: Professional financial mathematics calculation tool, supporting compound interest, investment analysis, risk assessment, etc.
Examples:
    financial_calculator(operation='compound_interest', principal=1000, rate=0.05, time=10)
    financial_calculator(operation='npv', cash_flows=[-1000, 300, 400, 500], rate=0.1)

Brief description: Probability and statistics calculation tool, supporting probability distributions, hypothesis testing, Bayesian analysis, etc.

Examples:
    probability_calculator(operation='probability_mass', distribution='normal', parameters={'mu':0,'sigma':1}, x_value=1.96)
    probability_calculator(operation='cumulative_distribution', distribution='normal', parameters={'mu':20,'sigma':3}, x_value=25)
    probability_calculator(operation='random_sampling', distribution='binomial', parameters={'n':10,'p':0.3}, n_samples=100)

Brief description:
    Powerful complex analysis and complex function tool, supporting complex number form conversion, residue calculation, analytic continuation, complex plane visualization, and other advanced features.
Examples:
    complex_analysis_suite(operation='convert_form', complex_number='3+4i')
    complex_analysis_suite(operation='function_evaluation', function_expression='z**2 + 1', complex_number='1+i')
    complex_analysis_suite(operation='residue_calculation', function_expression='1/(z**2 + 1)', singularities=['i', '-i'])

Brief description: Professional graph theory analysis tool, supporting shortest path, maximum flow, connectivity analysis, centrality calculation, community detection, spectral analysis, and other comprehensive graph theory functions.

Examples:
    graph_theory_suite(operation='shortest_path', edge_list=[[1,2], [2,3], [1,3]], source_node=1, target_node=3)
    graph_theory_suite(operation='centrality_analysis', graph_data={'nodes': [1,2,3], 'edges': [[1,2], [2,3]]})
    graph_theory_suite(operation='graph_visualization', adjacency_matrix=[[0,1,1],[1,0,1],[1,1,0]], filename='graph_plot')

Brief description: Deletes files generated in OUTPUT_PATH (or default temporary directory) and performs basic resource cleanup. Call only when the user explicitly indicates deletion of temporary or output files.

Examples:
    cleanup_resources()