Jove
Visualize
Contact Us

Related Concept Videos

Polar and Cylindrical Coordinates01:22

Polar and Cylindrical Coordinates

15.3K
The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
15.3K
Principle of Moments: Problem Solving01:30

Principle of Moments: Problem Solving

917
The principle of moments is a fundamental concept in physics and engineering. It refers to the balancing of forces and moments around a point or axis, also known as the pivot. This principle is used in many real-life scenarios, including construction, sports, and daily activities like opening doors and pushing objects.
One such scenario involves a pole placed in a three-dimensional system with a cable attached. When a tension is applied to the cable, the moment about the z-axis passing through...
917
Relating Angular And Linear Quantities - II01:05

Relating Angular And Linear Quantities - II

5.6K
In the case of circular motion, the linear tangential speed of a particle at a radius from the axis of rotation is related to the angular velocity by the relation:
5.6K
Properties of the z-Transform I01:17

Properties of the z-Transform I

285
The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
285
Orders of Magnitude01:15

Orders of Magnitude

19.5K
The order of magnitude of a number is the power of 10 that most closely approximates it. Thus, the order of magnitude estimates the scale (or size) of its value. To find the order of magnitude of a number, take the base-10 logarithm of the number and round it to the nearest integer. Then the order of magnitude of the number is simply the resulting power of 10.
The order of magnitude is simply a way of rounding numbers consistently to the nearest power of 10. This makes doing rough mental math...
19.5K
Properties of the z-Transform II01:16

Properties of the z-Transform II

176
The property of Accumulation in signal processing is derived by analyzing the accumulated sum of a discrete-time signal and using the time-shifting property to determine its z-transform. This principle reveals that the z-transform of the summed signal is related to the z-transform of the original signal by a multiplicative factor.
Moreover, the convolution property indicates that the convolution of two signals in the time domain corresponds to the product of their z-transforms in the frequency...
176

You might also read

Related Articles

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

Sort by
Same journal

Thin Objects Are Not Transparent.

Theoria·2024
Same journal

A Nominalist Alternative to Reference by Abstraction.

Theoria·2024
Same journal

Freedom's values: The good and the right.

Theoria·2023
Same journal

How to Supplement Mentalist Evidentialism: What Are the Fundamental Epistemological Principles?

Theoria·2022
Same journal

The power of potentiality.

Theoria·1986
See all related articles
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 Experiment Video

Updated: Sep 2, 2025

Dissection, MicroCT Scanning and Morphometric Analyses of the Baculum
04:32

Dissection, MicroCT Scanning and Morphometric Analyses of the Baculum

Published on: March 19, 2017

7.6K

From Magnitudes to Geometry and Back: De Zolt's Postulate.

Eduardo N Giovannini1,2, Abel Lassalle-Casanave3

  • 1Department of Philosophy University of Vienna Vienna Austria.

Theoria
|August 1, 2022
PubMed
Summary
This summary is machine-generated.

Nineteenth-century mathematicians sought pure mathematical foundations by avoiding the concept of magnitude. This study analyzes De Zolt's postulate, a geometric principle, and its connection to early magnitude axiomatizations.

Keywords:
De Zolt's postulateEuclidean geometryHilbertgeneral magnitudeslogical analysisplane areapurity of methodwhole and parts

More Related Videos

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps
08:59

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Published on: October 28, 2018

7.2K
Measuring the Complete-arch Distortion of an Optical Dental Impression
06:51

Measuring the Complete-arch Distortion of an Optical Dental Impression

Published on: May 30, 2019

7.6K

Related Experiment Videos

Last Updated: Sep 2, 2025

Dissection, MicroCT Scanning and Morphometric Analyses of the Baculum
04:32

Dissection, MicroCT Scanning and Morphometric Analyses of the Baculum

Published on: March 19, 2017

7.6K
Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps
08:59

Morphology-Based Distinction Between Healthy and Pathological Cells Utilizing Fourier Transforms and Self-Organizing Maps

Published on: October 28, 2018

7.2K
Measuring the Complete-arch Distortion of an Optical Dental Impression
06:51

Measuring the Complete-arch Distortion of an Optical Dental Impression

Published on: May 30, 2019

7.6K

Area of Science:

  • History of Mathematics
  • Foundations of Geometry
  • Mathematical Logic

Background:

  • Explores the 19th-century mathematical trend of seeking pure foundations.
  • Focuses on De Zolt's postulate as a geometric expression of the 'whole is greater than the part' principle.
  • Connects geometric purity with early axiomatizations of magnitude.

Purpose of the Study:

  • Examine the trend of pure foundations in mathematics, specifically in plane area theory.
  • Analyze David Hilbert's proof of De Zolt's postulate.
  • Investigate the link between geometric problems and the axiomatization of magnitude.

Main Methods:

  • Analysis of David Hilbert's classical proof of De Zolt's postulate.
  • Connection of De Zolt's postulate to the first axiomatizations of magnitude.
  • Logical analysis of the concept of magnitude.

Main Results:

  • Illustrates the striving for purity in geometric foundations through Hilbert's proof.
  • Highlights the relationship between geometric principles and the abstract concept of magnitude.
  • Presents a recent result in logical analysis that illuminates Hilbert's proof.

Conclusions:

  • De Zolt's postulate serves as a key example of foundational purity in geometry.
  • The study provides new insights into Hilbert's proof via modern logical analysis.
  • An alternative abstract theory of magnitude is proposed, including a proof of De Zolt's postulate.