X-Nico

3 unusual facts about Inverse-square law


Inverse-square law

The force of attraction or repulsion between two electrically charged particles, in addition to being directly proportional to the product of the electric charges, is inversely proportional to the square of the distance between them; this is known as Coulomb's law.

The energy or intensity decreases (divided by 4) as the distance r is doubled; measured in dB it would decrease by 6.02 dB per doubling of distance.

In acoustics, the sound pressure of a spherical wavefront radiating from a point source decreases by 50% as the distance r is doubled; measured in dB, the decrease is still 6.02 dB, since dB represents an intensity ratio.


Albert Tarantola

Albert Tarantola was a Catalan-born physicist (Barcelona, June 15, 1949 — December 6, 2009), of the University of Paris (Institut de Physique du Globe), and author of the book probabilistic formulation of inverse problems (Tarantola, 1987, 2005).

All that glitters is not gold

The inverse of this expression, "All that glitters is gold," is a lyric in the Led Zeppelin song, "Stairway to Heaven", the Smash Mouth song, "All Star" and the Death in Vegas song, "All That Glitters".

Apprenticeship learning

Apprenticeship learning, or apprenticeship via inverse reinforcement learning (AIRP), is a concept in the field of Artificial Intelligence and Machine learning, developed by Pieter Abbeel, Assistant Professor in Berkeley's EECS department, and Andrew Ng, Associate Professor in Stanford University's Computer Science Department.

Chadan

Chadan, with Pierre Sabatier, co-author of Inverse Problems of Quantum Scattering Theory

Charles Roy Henderson

He invented three methods for the estimation of variance components in unbalanced settings of mixed models, and invented a method for constructing the inverse of Wright's numerator relationship matrix based on a simple list of pedigree information.

Charles-Augustin de Coulomb

He discovered an inverse relationship of the force between electric charges and the square of its distance, later named after him as Coulomb's law.

Cubelets

Currently, there are 16 types of Cubelets available: Distance Sensor, Light Sensor, Potentiometer/Knob, Temperature Sensor, Drive Motor, Rotate Motor, Speaker, LED Flashlight, LED Bargraph, Passive, Blocker, Inverse, Maximum, Minimum, Battery and Bluetooth.

Divergence theorem

Two examples are Gauss' law (in electrostatics), which follows from the inverse-square Coulomb's law, and Gauss' law for gravity, which follows from the inverse-square Newton's law of universal gravitation.

Egyptian multiplication and division

Shortly after 2002 the Kahun Papyrus and the RMP 2/n table revealed two aliquot part operational methods: (1) new inverse multiplication and division methods, and (2) a LCM number method written in red (RMP 38).

Euler's three-body problem

Euler's problem also covers the case when the particle is acted upon by other inverse-square central forces, such as the electrostatic interaction described by Coulomb's law.

Euler's three-body problem is to describe the motion of a particle under the influence of two centers that attract the particle with central forces that decrease with distance as an inverse-square law, such as Newtonian gravity or Coulomb's law.

Gauss's law

In fact, any "inverse-square law" can be formulated in a way similar to Gauss's law: For example, Gauss's law itself is essentially equivalent to the inverse-square Coulomb's law, and Gauss's law for gravity is essentially equivalent to the inverse-square Newton's law of gravity.

Golden ratio

The first known approximation of the (inverse) golden ratio by a decimal fraction, stated as "about 0.6180340", was written in 1597 by Michael Maestlin of the University of Tübingen in a letter to his former student Johannes Kepler.

Hypoathroid

It is a condition that is characteristic of the Archaeogastropoda clade, and is the inverse of the evolutionarily more recent epiathroid condition, characteristic of the Mesogastropoda and Neogastropoda, in which the pleural, pedal, and cerebral ganglia all lie close together.

Interval ratio

Ratios have an inverse relationship to string length, for example stopping a string at two-thirds (2:3) its length produces a pitch one and one-half (3:2) that of the open string (not to be confused with Inversion (music)).

Inverse dynamics

The "inverse dynamics problem" in Robotics Engineering was solved by Eduardo Bayo in 1987.

Inverse photoemission spectroscopy

As inverse photoemission probes the electronic states above the Fermi level of the system, it is a complementary technique to photoemission spectroscopy.

Inverse Symbolic Calculator

The Inverse Symbolic Calculator is an online number checker established July 18, 1995 by Peter Benjamin Borwein, Jonathan Michael Borwein and Simon Plouffe of the Canadian Centre for Experimental and Constructive Mathematics (Burnaby, Canada).

Keenwild

Keenwild have played shows with well-known bands such as Neon Trees, Meg and Dia, HelloGoodbye, Steel Train, Inverse, IllNoise, A Change Of Pace, YouInSeries, D.O.R.K./Animo, Halifax, Socratic, An Angle and Limbeck.

Knot energy

Coulomb's law states that two electric charges of the same sign will repel each other as the inverse square of the distance.

Laplace transform

The wide and general applicability of the Laplace transform and its inverse is illustrated by an application in astronomy which provides some information on the spatial distribution of matter of an astronomical source of radiofrequency thermal radiation too distant to resolve as more than a point, given its flux density spectrum, rather than relating the time domain with the spectrum (frequency domain).

Lina Inverse

In the Warcraft III mod Defense of the Ancients, she shares the name of "Lina Inverse", while simply going by "Lina" in Dota 2.

Liouville dynamical system

In classical mechanics, Euler's three-body problem describes the motion of a particle in a plane under the influence of two fixed centers, each of which attract the particle with an inverse-square force such as Newtonian gravity or Coulomb's law.

Listing's law

(This complication is one of the most difficult aspects of Listing's law to understand, but it follows directly from the non-commutative laws of physical rotation, which specify that one rotation followed by a second rotation does not yield the same result as these same rotations performed in the inverse order.)

Long Josephson junction

where spatial coordinate is normalized to the Josephson penetration depth \lambda J and time is normalized to the inverse plasma frequency \omega p^{-1}.

Mayer f-function

where \beta=(k {B}T)^{-1} the inverse absolute temperature in units of (Temperature times the Boltzmann constant k {B})-1 .

Mixe languages

The morphosyntactic alignment of Mixe is ergative and it also has an obviative system which serves to distinguish between verb participants in reference to its direct–inverse system.

Network effect

Rod Beckstrom presented a mathematical model for describing networks that are in a state of positive network effect at BlackHat and Defcon in 2009 and also presented the "inverse network effect" with an economic model for defining it as well.

Newtonian motivations for general relativity

The inverse problem of transforming an arbitray coordinate system into a diagonal system can be performed mathematically with the process of diagonalization.

Phenylthiocarbamide

In 1976, a remarkable inverse relationship between taster status for PTC and for a bitter component of the fruit of the tree Antidesma bunius was discovered.

Ro4938581

Ro4938581 is a nootropic drug invented in 2009 by a team working for Hoffmann-La Roche, which acts as a subtype-selective inverse agonist at the benzodiazepine binding site on the receptor.

Scaled inverse chi-squared distribution

The scaled inverse chi-squared distribution also has a particular use in Bayesian statistics, somewhat unrelated to its use as a predictive distribution for x = 1/s2.

Semifield

In ring theory, combinatorics, functional analysis, and theoretical computer science, a semifield is a semiring (MSC 16Y60) (S,+,·) in which all elements have a multiplicative inverse.

Shell theorem

On the other hand, if we relax the conditions, and require only that the field everywhere outside a spherically symmetric body is the same as the field from some point mass at the centre (of any mass), we allow a new class of solutions given by the Yukawa potential, of which the inverse square law is a special case.

Tatiana Stepanova

Inside the choreographic work of Tatiana Stepanova emphasizes its Diptych of Ashiya, formed by Suite of works of Marius Petipa, that she reordena of magisterial form, reinterpreting the pieces and managing to join its steps with the of the master one galoruso, in an inverse osmosis, where is dificil to distinguish the parts of the two choreographers.

The Vindictives

The Vindictives' song "In the Corner" was covered by Apocalypse Hoboken on their Inverse, Reverse, Perverse.

Torsion spring

Determining the force for different charges and different separations between the balls, he showed that it followed an inverse-square proportionality law, now known as Coulomb's law.

Trick deck

An inverse handling of the Brainwave deck is the X Deck, originally invented by Jay Sankey and identical to the Invisible Deck, but with the odd cards having an X on them.

Trip generation

The first zonal trip generation (and its inverse, attraction) analysis in the Chicago Area Transportation Study (CATS) followed the “decay of activity intensity with distance from the central business district (CBD)” thinking current at the time.

Turning radius

Some camera dollies used in the film industry have a "round" mode which allows them to spin around their z axis by allowing synchronized inverse rotation of their front and rear wheel sets, effectively giving them "zero" turning radius.

Vladimir Marchenko

He introduced one of the approaches to the inverse scattering problem for Sturm–Liouville operators, and derived what is now called the Marchenko equation.

Α5IA

It binds to the partial agonist effect at α2 likely to be responsible for the lack of anxiety produced by this drug when compared to older α5-preferring inverse agonists such as L-655,708.


see also