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

Methods of Obtaining Topography01:25

Methods of Obtaining Topography

550
Topography involves measuring and mapping land elevations, natural features, and artificial structures to create accurate representations of the terrain. Topographic surveying relies on traditional and modern methods, each with distinct advantages and limitations.Traditional Surveying Methods:Transit stadia surveys and plane table surveys were widely used traditional surveying methods. These techniques relied on instruments like theodolites and stadia rods for measuring distances and angles,...
550
Plotting of Topographic Maps01:29

Plotting of Topographic Maps

855
Topographic maps represent the Earth's surface features using contour lines, which connect points of equal elevation to create a two-dimensional representation of three-dimensional terrain. Creating a topographic map requires a systematic approach.Begin by plotting a scaled grid and marking intersections corresponding to the survey's elevation data points. Assign elevation values at these intersections to build the base map. Next, determine contour levels using a consistent contour interval,...
855
Topographic Surveying and Contours01:29

Topographic Surveying and Contours

1.6K
Topographic surveying is critical for documenting the Earth's surface, focusing on capturing elevations, slopes, and natural and man-made features. It is essential in construction planning, water resource management, and land-use analysis. The primary outcome of such surveys is a topographic map, which uses contour lines to visually represent the shape and slope of the terrain, providing valuable insights into the landscape's characteristics.Contour lines are fundamental to understanding the...
1.6K
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

563
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.
563
Areas Within Irregular Boundaries01:26

Areas Within Irregular Boundaries

497
Calculating areas within irregular boundaries, such as along rivers or curved roads, is crucial in various fields, including surveying, engineering, and environmental management. Surveyors often begin by creating a traverse, a connected series of straight lines approximating the area's boundary. The coordinates of each traverse point are essential for calculating the enclosed area. The double meridian distance formula is a widely used technique for this purpose. This method utilizes the...
497
Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

4.5K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
4.5K

You might also read

Related Articles

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

Sort by
Same author

Spiral waves and vertebrate embryonic handedness.

Journal of biosciences·2018
Same author

A well-scaling natural orbital theory.

Proceedings of the National Academy of Sciences of the United States of America·2016
Same author

Theoretical Design by First Principles Molecular Dynamics of a Bioinspired Electrode-Catalyst System for Electrocatalytic Hydrogen Production from Acidified Water.

Journal of chemical theory and computation·2015
Same author

Density Functional Partition Theory with Fractional Occupations.

Journal of chemical theory and computation·2015
Same author

Interaction of Oxygen and Water with the (100) Surface of Pyrite: Mechanism of Sulfur Oxidation.

The journal of physical chemistry letters·2015
Same author

Rank distributions: a panoramic macroscopic outlook.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014

Related Experiment Video

Updated: May 4, 2026

The 4 Mountains Test: A Short Test of Spatial Memory with High Sensitivity for the Diagnosis of Pre-dementia Alzheimer's Disease
06:23

The 4 Mountains Test: A Short Test of Spatial Memory with High Sensitivity for the Diagnosis of Pre-dementia Alzheimer's Disease

Published on: October 13, 2016

36.6K

Topography of chance.

Iddo I Eliazar1, Morrel H Cohen2

  • 1School of Chemistry, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2013
PubMed
Summary

We developed a universal model for multiplicative dynamics, transforming random inputs into diverse, predictable outputs. This "topographic map of chance" precisely controls output properties using potential functions.

More Related Videos

Use of Principal Components for Scaling Up Topographic Models to Map Soil Redistribution and Soil Organic Carbon
09:44

Use of Principal Components for Scaling Up Topographic Models to Map Soil Redistribution and Soil Organic Carbon

Published on: October 16, 2018

13.3K
Trajectory Data Analyses for Pedestrian Space-time Activity Study
16:14

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

13.4K

Related Experiment Videos

Last Updated: May 4, 2026

The 4 Mountains Test: A Short Test of Spatial Memory with High Sensitivity for the Diagnosis of Pre-dementia Alzheimer's Disease
06:23

The 4 Mountains Test: A Short Test of Spatial Memory with High Sensitivity for the Diagnosis of Pre-dementia Alzheimer's Disease

Published on: October 13, 2016

36.6K
Use of Principal Components for Scaling Up Topographic Models to Map Soil Redistribution and Soil Organic Carbon
09:44

Use of Principal Components for Scaling Up Topographic Models to Map Soil Redistribution and Soil Organic Carbon

Published on: October 16, 2018

13.3K
Trajectory Data Analyses for Pedestrian Space-time Activity Study
16:14

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

13.4K

Area of Science:

  • Mathematical Physics
  • Statistical Mechanics
  • Probability Theory

Background:

  • The Langevin equation is a fundamental tool for modeling systems influenced by random forces.
  • Multiplicative evolution describes processes where the rate of change depends on the system's current state.
  • Understanding the generation and properties of random processes is crucial across scientific disciplines.

Purpose of the Study:

  • To introduce a novel model of multiplicative Langevin dynamics.
  • To demonstrate a universal mechanism for generating diverse probability distributions.
  • To establish a framework for precisely controlling the shape and randomness of dynamic equilibrium outputs.

Main Methods:

  • Development of a nonlinear mechanism based on the Langevin equation and multiplicative evolution.
  • Utilizing a convex U-shaped potential function as the single control parameter.
  • Analysis of the stationary density of the output to characterize shape and randomness categories.

Main Results:

  • The model robustly generates a wide range of probability distributions on the positive half-line.
  • Each combination of output shape and randomness is achieved universally.
  • Probability distributions with power-law tails are generated by potentials at the 'edge of convexity'.

Conclusions:

  • The proposed model serves as a universal equilibrium mechanism for multiplicative dynamics.
  • The 'topography' of the control potential precisely dictates the properties of the generated 'chance'.
  • This framework offers a powerful tool for reverse-engineering and generating complex probability distributions in science.