Mathematical
Sampling Rate
Hydrology
Data Summarization
Spectral Analysis
Grassland Ecosystem Health and Monitoring
Market Evaluation
Analyzing Sound Waves and Frequencies
Researching Genetic Diversity in Endangered Species 
Population genetics: Researchers use
mathematical models to study the distribution of genetic variation within and among populations of endangered species
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Models Sound Models Sound models are
mathematical representations of sound waves and their properties
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Sampling Rate Mathematical Definition The sampling rate is defined as: S = 1 / T where S is the sampling rate in Hz, and T is the time interval between samples in seconds
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Hydrology Groundwater modeling Simulation of groundwater flow and contaminant transport using
mathematical models
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Data Summarization Statistical Methods Statistical methods involve the use of
mathematical techniques to summarize data
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Spectral Analysis during spectral analysis to achieve optimal results: FFT (Fast Fourier Transform) The Fast Fourier Transform (FFT) is a
mathematical algorithm that converts a time-domain signal into its frequency-domain representation
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Grassland Ecosystem Health and Monitoring Ecological modeling uses
mathematical models to simulate the dynamics of grassland ecosystems and predict how they may respond to different environmental conditions
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Market Evaluation Quantitative Analysis Quantitative analysis involves the use of statistical and
mathematical models to analyze numerical data
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Analyzing Sound Waves and Frequencies Fourier Transform: A
mathematical technique used to convert time-domain signals (waveforms) into frequency-domain representations
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Analyzing the Frequency Spectrum of Sound FFT (Fast Fourier Transform) A
mathematical algorithm used to convert time-domain signals into frequency-domain representations
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