Conversion of units of measurement | Dimensional analysis
In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measure (such as miles vs. kilometres, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed. The conversion of units from one dimensional unit to another is often easier within the metric or the SI than in others, due to the regular 10-base in all units. Commensurable physical quantities are of the same kind and have the same dimension, and can be directly compared to each other, even if they are expressed in differing units of measure, e.g. yards and metres, pounds (mass) and kilograms, seconds and years. Incommensurable physical quantities are of different kinds and have different dimensions, and can not be directly compared to each other, no matter what units they are expressed in, e.g. metres and kilograms, seconds and kilograms, metres and seconds. For example, asking whether a kilogram is larger than an hour is meaningless. Any physically meaningful equation, or inequality, must have the same dimensions on its left and right sides, a property known as dimensional homogeneity. Checking for dimensional homogeneity is a common application of dimensional analysis, serving as a plausibility check on derived equations and computations. It also serves as a guide and constraint in deriving equations that may describe a physical system in the absence of a more rigorous derivation. The concept of physical dimension, and of dimensional analysis, was introduced by Joseph Fourier in 1822. (Wikipedia).
An introduction to the idea of Dimensional Analysis
From playlist Mathematical Physics I Uploads
We introduce the idea of dimensional analysis and its use in finding unknown quantities' dependence on relevant dimensionful variables.
From playlist Mathematical Physics I Uploads
Some examples of how dimensional analysis can help you find the relationships between quantities, such as centripetal force or the period of a pendulum.
From playlist Mathematical Physics I Uploads
Using Dimensional Analysis to Find the Units of a Constant
This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool t
From playlist Metric Units
Dimensional Analysis Part 2, Unit Conversions
This video focuses on dimensional analysis and unit conversions such as converting from kilometers per second to meters per second. Dimensional analysis in Physics is an important tool that can lead to a better understanding of physics concepts. Social Media for Step by Step Science: Tea
From playlist Metric Units
How to Succeed at Physics Without Really Trying
Units are your physics superpower! With dimensional analysis, you can get 90% of the way to the answer for many physics problems with next to no work! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up In any given physics problem, you have a certain list of
From playlist Physics Help Room
An example where dimensional analysis fails to give the right functional form for the collision between two objects.
From playlist Mathematical Physics I Uploads
Dimensional Analysis 2: Metric Conversions
Craig Beals shows the basic steps of using dimensional analysis for converting units in metrics.
From playlist Chemistry - Introduction to Chemistry Math Problems
Video lectures for Transport Phenomena course at Olin College. This video introduces the idea of dimensional analysis and provides a few example problems in fluid mechanics.
From playlist Lectures for Transport Phenomena course
Dimensional Analysis: Chemistry Video Lesson
In lesson #1 of the Smart Space: Chemistry video series, you will be introduced to dimensional analysis (also known as “conversions”), a foundational component for chemistry. See how this not only applies to chemistry, but to other aspects of everyday life. --- Craig Beals is a chemistry t
From playlist Chemistry - Introduction to Chemistry Math Problems
Multidimensional Rasch measurement with ConQuest Software | A quick and effective guide
In this video, I demonstrate how to conduct a multidimensional Rasch measurement using the ConQuest software. For extensive reviews of Rasch measurement and item response theory (IRT) analysis, please read: Rasch: https://journals.sagepub.com/doi/full/10.1177/0265532220927487 IRT: https:
From playlist Rasch Measurement
Basics of PCA (Principal Component Analysis) : Data Science Concepts
Gentle Intro to Principal Component Analysis (PCA) --- Like, Subscribe, and Hit that Bell to get all the latest videos from ritvikmath ~ --- Check out my Medium: https://medium.com/@ritvikmathematics
From playlist Data Science Concepts
08 Machine Learning: Dimensionality Reduction
A lecture on dimensionality reduction through feature selection and feature projection. Includes curse of dimensionality and feature selection review from lecture 5 and summary of methods for feature projection.
From playlist Machine Learning
Stanford Seminar - Towards theories of single-trial high dimensional neural data analysis
EE380: Computer Systems Colloquium Seminar Towards theories of single-trial high dimensional neural data analysis Speaker: Surya Ganguli, Stanford, Applied Physics Neuroscience has entered a golden age in which experimental technologies now allow us to record thousands of neurons, over
From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series
08b Machine Learning: Principal Component Analysis
Lecture of principal component analysis for dimensionality reduction and general inference, learning about the structures in our subsurface data. Follow along with the demonstration workflow in Python's scikit-learn package: https://github.com/GeostatsGuy/PythonNumericalDemos/blob/master/
From playlist Machine Learning
Lecture 21 (CEM) -- RCWA Tips and Tricks
Having been through the formulation and implementation of RCWA in previous lectures, this lecture discussed several miscellaneous topics including modeling 1D gratings with 3D RCWA, formulation of a 2D RCWA that incorporates fast Fourier factorization, RCWA for curved structures, truncatin
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
From playlist Summer of Math Exposition Youtube Videos