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Related Concept Videos

Instrument Calibration01:12

Instrument Calibration

Instrument calibration is essential for ensuring that instruments produce accurate and consistent results. It is vital in manufacturing, healthcare, testing laboratories, and scientific research. Calibration processes are specific to each instrument and help enhance data accuracy. Each instrument has a unique calibration process tailored to its design and function to improve data accuracy.
Analytical Balance Calibration
An analytical balance measures mass and requires regular calibration to...
Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
Calibration Curves: Correlation Coefficient01:10

Calibration Curves: Correlation Coefficient

In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the other increases, and...
Glassware Calibration01:11

Glassware Calibration

Accurate calibration of glassware, such as volumetric flasks, pipettes, and burettes, is essential to ensure accurate measurements in the analytical laboratory. Calibration helps maintain consistency across measurements and prevents errors arising from inaccurate volumes.
Volumetric flasks: Volumetric flasks are designed to prepare aqueous solutions of precise volumes accurately with a calibration line on the neck. To calibrate a volumetric flask, it is important to fill it with distilled...
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
Linear time-invariant Systems01:23

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...

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Related Experiment Video

Updated: Jun 11, 2026

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
10:22

Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements

Published on: September 7, 2019

Black-box calibration for complex-system simulation.

Alexander I J Forrester1

  • 1Computational Engineering and Design Group, School of Engineering Sciences, University of Southampton, Southampton, Hampshire SO17 1BJ, UK. alexander.forrester.soton.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 7, 2010
PubMed
Summary
This summary is machine-generated.

Gaussian-process correlations correct simple models using sparse data, replacing complex simulations and experiments. This enables efficient aerodynamic design and optimization for complex systems.

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Area of Science:

  • Engineering
  • Computational Science
  • Aerodynamics

Background:

  • Predicting complex system outputs is crucial but challenging in science.
  • Computationally intensive models and experiments limit parameter studies and optimization.

Purpose of the Study:

  • To present Gaussian-process-based correlations for correcting simple computer models.
  • To demonstrate efficient aerodynamic design using these correlations with sparse data.

Main Methods:

  • Utilizing Gaussian-process correlations to calibrate simple computer models.
  • Replacing computationally expensive physics-based codes with fast, statistics-based codes.
  • Applying the method to two aerodynamic design examples.

Main Results:

  • Successfully calibrated a 2D potential-flow solver for unmanned air vehicle wing flow.
  • Optimized a racing car's rear wing using calibrated simulations accounting for overall car flow.

Conclusions:

  • Gaussian-process correlations offer an efficient alternative to complex simulations and experiments.
  • This approach facilitates effective aerodynamic design and optimization with limited data.