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|a 610.28
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|a TXAM
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| 100 |
1 |
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|a Crowe, John.
|
| 245 |
1 |
0 |
|a Case studies in mathematical modeling for medical devices :
|b how pulse oximeters and doppler ultrasound fetal heart rate monitors work.
|
| 260 |
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|a Chantilly :
|b Elsevier Science & Technology,
|c 2024.
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| 300 |
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|a 1 online resource (438 p.)
|
| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
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|a Description based upon print version of record.
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| 505 |
0 |
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|a Front Cover -- Case Studies in Mathematical Modeling for Medical Devices -- Copyright -- Contents -- Preface -- Acknowledgments -- Introduction to the book -- 1 Maths for oximetry -- List of symbols and abbreviations -- 1 Introduction -- 1.1 Oximetry -- 1.2 Probability -- 2 Discrete probability distributions -- 2.1 Dice throwing and the probability mass function -- 2.1.1 Notation -- 2.1.2 Some "rules" of probability -- 2.2 Example: coin tossing -- 2.3 Cumulative distribution function -- 2.4 Summary -- 2.5 Problems -- 3 Continuous probability distributions
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| 505 |
8 |
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|a 3.1 Pathlengths through a scattering sample -- 3.1.1 Bar chart of counts -- 3.1.2 Probability mass -- 3.1.3 Probability density -- 3.2 Probability density function -- 3.2.1 Pathlength simulation -- 3.3 Cumulative distribution function -- 3.4 Example: uniform distribution -- 3.5 Summary -- 3.6 Problems -- 4 Summary statistics, moments, and cumulants -- 4.1 The mean and its synonyms -- 4.2 Calculating the mean: discrete data -- 4.2.1 Two dice -- 4.2.2 Three coins -- 4.3 Higher order and central moments -- 4.3.1 Raw moments -- 4.3.2 Central moments -- 4.4 Variance: discrete data
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| 505 |
8 |
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|a 4.4.1 Variance - the second central moment -- 4.4.2 Variance examples: dice and coins -- 4.5 Mean and variance: continuous data -- 4.5.1 Example: uniform distribution -- 4.5.1.1 Mean -- 4.5.1.2 Variance -- 4.6 Moment generating function -- 4.6.1 Introduction -- 4.6.2 MGF in series form -- 4.6.2.1 Extraction of the moments -- 4.6.3 Discrete example: coin tossing -- 4.6.4 Continuous example: uniform distribution -- 4.6.4.1 First moment: [mu] -- 4.7 Cumulant generating function -- 4.8 Moments and cumulants -- 4.9 Summary -- 4.10 Problems -- 5 Commonly encountered distributions -- 5.1 Introduction
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| 505 |
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|a 5.2 Uniform distribution -- 5.3 Binomial distribution -- 5.3.1 Moment generating function -- 5.3.2 Mean and variance -- 5.4 Poisson distribution -- 5.4.1 Derivation -- 5.4.1.1 Limits -- 5.4.2 Mean and variance -- 5.4.3 Moment generating function -- 5.5 Exponential distribution -- 5.5.1 Mean and variance -- 5.5.2 Cumulants -- 5.5.3 Exponential and Poisson relationship -- 5.6 Gaussian distribution -- 5.6.1 Moment and cumulant generating function -- 5.7 Wald distribution -- 5.7.1 Gaussian and Wald relationship -- 5.8 Summary -- 5.9 Problems -- 6 Shifting and scaling distributions
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| 505 |
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|a 6.1 Summary statistics-PDF and CDF -- 6.1.1 Expectation value: E(Y) -- 6.1.2 Variance -- 6.1.3 CDF -- 6.1.4 PDF -- 6.2 Example 1: uniform distribution -- 6.3 Example 2: Gaussian distribution -- 6.4 Summary -- 7 Random samples from distributions -- 7.1 Sampling from a discrete distribution -- 7.2 Sampling from a continuous distribution -- 7.2.1 How it works -- 7.2.2 Observations to use -- 7.2.2.1 Invertible and monotonic CDF -- 7.2.2.2 The CDF of a uniform distribution -- 7.2.3 Derivation of the inverse CDF -- 7.3 Examples -- 7.3.1 Example: uniform random variates -- 7.3.2 Example: simple continuous distribution.
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| 650 |
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|a Medical instruments and apparatus
|x Mathematical models.
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| 650 |
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0 |
|a Pulse oximeters.
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| 650 |
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0 |
|a Fetal heart rate monitoring
|x Equipment and supplies.
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| 650 |
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6 |
|a Médecine
|x Appareils et instruments
|x Modèles mathématiques.
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| 650 |
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6 |
|a Oxymètres de pouls.
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| 650 |
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6 |
|a Cardiotocographie
|x Appareils et matériel.
|
| 655 |
|
7 |
|a Electronic books.
|2 local
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| 710 |
2 |
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|a ScienceDirect (Online service)
|
| 776 |
0 |
8 |
|i Print version:
|a Crowe, John
|t Case Studies in Mathematical Modeling for Medical Devices
|d Chantilly : Elsevier Science & Technology,c2024
|z 9780323954723
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://www.sciencedirect.com/science/book/9780323954723
|z Connect to the full text of this electronic book
|t 0
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| 936 |
|
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|a BATCHLOAD
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| 955 |
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|a Elsevier ScienceDirect 2026-2027
|
| 994 |
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|a 92
|b TXA
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| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
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|e R856
|h Library of Congress classification
|
| 998 |
f |
f |
|a R856
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|l Available Online
|