Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Newton’s Method01:30

Newton’s Method

Newton’s Method is a powerful iterative technique for approximating the roots of real-valued, differentiable functions, particularly when analytical solutions are impractical. This approach is widely used in scientific computing, engineering, and finance, where equations may be too complex for traditional algebraic methods to handle. The method relies on an iterative process that refines an initial estimate using the function’s derivative to approach the true solution progressively.
Linearization and Approximation01:26

Linearization and Approximation

Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
Trapezoidal Rule01:26

Trapezoidal Rule

Estimating the distance traveled by a vehicle using its recorded velocity over time is a common problem in physics and engineering. When velocity data is available at discrete time intervals, rather than as a continuous function, numerical integration methods such as the trapezoidal rule are often employed to approximate the total displacement.The trapezoidal rule works by dividing the total time interval into several equal segments. Within each segment, the recorded velocities at the endpoints...
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Simpson's Rule II01:28

Simpson's Rule II

In warehouse roofing applications, corrugated or curved metal sheets are commonly used to improve structural strength, water drainage, and ventilation efficiency. To accurately estimate material requirements and optimize design parameters, engineers must determine the curved surface area of these sheets. Because the sheet profiles often repeat smoothly along their length, they can be effectively approximated by parabolic curves, enabling the use of numerical integration techniques for area...
Application of Linearization and Approximation01:29

Application of Linearization and Approximation

A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Cross-Sectional and Longitudinal Associations of Creatinine-to-Cystatin C Ratio with Sarcopenia Parameters in Older Adults.

The journal of nutrition, health & aging·2023
Same author

Search for a Dark-Matter-Induced Cosmic Axion Background with ADMX.

Physical review letters·2023
Same author

Quasiparticle Nodal Plane in the Fulde-Ferrell-Larkin-Ovchinnikov State of FeSe.

Physical review letters·2022
Same author

Association between Traditional Japanese Diet Washoku and Sarcopenia in Community-Dwelling Older Adults: Findings from the Kashiwa Study.

The journal of nutrition, health & aging·2020
Same author

Diagonal nematicity in the pseudogap phase of HgBa<sub>2</sub>CuO<sub>4+δ</sub>.

Nature communications·2019
Same author

Results of an international comparison of activity measurements of <sup>68</sup>Ge.

Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine·2017

Related Experiment Video

Updated: May 23, 2026

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the &#181;s-ms Timescale
08:09

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

Efficiency fitting for TDCR measurement data using polynomial approximation and the Newton-Raphson method.

Y Sato1, T Yamada, M Matsumoto

  • 1National Metrology Institute of Japan, National Institute of Advanced Industrial Science and Technology, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8568, Japan. yss.sato@aist.go.jp

Applied Radiation and Isotopes : Including Data, Instrumentation and Methods for Use in Agriculture, Industry and Medicine
|April 3, 2012
PubMed
Summary
This summary is machine-generated.

Researchers precisely measured tritium radioactivity using triple-to-double coincidence ratio (TDCR) equipment. This method accurately determined tritium activity by minimizing differences between calculated and experimental data.

More Related Videos

The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements
09:10

The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements

Published on: December 5, 2025

Measurement &amp; Analysis of the Temporal Discrimination Threshold Applied to Cervical Dystonia
10:05

Measurement & Analysis of the Temporal Discrimination Threshold Applied to Cervical Dystonia

Published on: January 27, 2018

Related Experiment Videos

Last Updated: May 23, 2026

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the &#181;s-ms Timescale
08:09

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements
09:10

The Frequency Domain Thermoreflectance Technique for Thermal Property Measurements

Published on: December 5, 2025

Measurement &amp; Analysis of the Temporal Discrimination Threshold Applied to Cervical Dystonia
10:05

Measurement & Analysis of the Temporal Discrimination Threshold Applied to Cervical Dystonia

Published on: January 27, 2018

Area of Science:

  • Nuclear Metrology
  • Radioactivity Measurement
  • Applied Physics

Background:

  • Accurate quantification of tritium radioactivity is crucial for various scientific and industrial applications.
  • Existing measurement techniques require precise calibration and data analysis.

Purpose of the Study:

  • To determine the activity of a tritium source using the triple-to-double coincidence ratio (TDCR) method.
  • To refine data fitting procedures for enhanced accuracy in radioactivity measurements.

Main Methods:

  • Utilized triple-to-double coincidence ratio (TDCR) equipment at the National Metrology Institute of Japan (NMIJ).
  • Applied polynomial approximation and the Newton-Raphson method for numerical data fitting.
  • Approximated discrete calculated efficiencies using quadratic functions for convergence.

Main Results:

  • Successfully obtained the activity of the tritium source.
  • The employed fitting method effectively minimized discrepancies between statistical calculations and experimental results.
  • Demonstrated the robustness of the Newton-Raphson method in radioactivity data analysis.

Conclusions:

  • The TDCR method, combined with advanced numerical fitting, provides a reliable approach for tritium activity determination.
  • The study highlights the importance of sophisticated data analysis techniques in metrology.
  • Accurate radioactivity measurements are essential for advancing nuclear science and safety.