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Line segment of infinitesimally small length
In geometry, the line element or length element can be informally thought of as a line segment associated with an infinitesimal displacement vector in
Line_element
Orbital data format
A two-line element set (TLE, or more rarely 2LE) or three-line element set (3LE) is a data format encoding a list of orbital elements of an Earth-orbiting
Two-line_element_set
Coordinate system for the Kerr metric
killed in the 1966 University of Texas tower shooting at age 33. The line element for a black hole with a total mass equivalent M {\displaystyle M} , angular
Boyer–Lindquist_coordinates
Spectral lines in the Sun's spectrum
ambiguous Fraunhofer line designations are preceded by the element with which they are associated (e.g., Mercury e line and Helium d line). Because of their
Fraunhofer_lines
Argument of the hyperbolic functions
Euclidean geometry defines its line element as d s e 2 = d x 2 + d y 2 , {\displaystyle ds_{e}^{2}=dx^{2}+dy^{2},} the line element on Minkowski space is d s
Hyperbolic_angle
Parameters that define a specific orbit
ASCII records can be handled efficiently by modern databases. The two-line element format lists the eccentricity (e), inclination (i), longitude of the
Orbital_elements
Relative deformation of a physical body
loaded differential line element. It is defined as the ratio between the final length l and the initial length L of the material line. λ = l L {\displaystyle
Strain_(mechanics)
Mobile anti-tank obstacle
defending Normandy from Allied invasion. The Cointet-element formed the main barricade of the Belgian K-W Line, a tank barricade that was built between September
Cointet-element
Numerical method for solving physical or engineering problems
Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical
Finite_element_method
Coordinates comprising a distance and two angles
from the positive z axis, as in the physics convention discussed. The line element for an infinitesimal displacement from (r, θ, φ) to (r + dr, θ + dθ,
Spherical_coordinate_system
Concept in integration theory
In mathematics, a volume element provides a means for integrating a function with respect to volume in various coordinate systems such as spherical coordinates
Volume_element
2019 video game
originally pitching it for a toy line. 13 Sentinels began production two years later, discarding the toy line element under Atlus. The production proved
13_Sentinels:_Aegis_Rim
Geometric construction used in Ancient Greek mathematics
straight line element of given length (a) in between two given (not necessarily straight) lines (l and m), in such a way that the extension of the line element
Neusis_construction
Definite integral of a scalar or vector field along a path
theorem Methods of contour integration Nachbin's theorem Line element Surface integral Volume element Volume integral Kwong-Tin Tang (30 November 2006). Mathematical
Line_integral
RNA family
UnaL2 LINE 3′ element is an RNA element found in the UnaL2 LINE (long interspersed nuclear element) and partner SINE (short interspersed nuclear element) from
UnaL2_LINE_3′_element
Kinematic prediction of quantum field theory for an accelerating observer
{\begin{aligned}x&=\rho \cosh(\sigma )\\t&=\rho \sinh(\sigma ).\end{aligned}}} The line element in Rindler coordinates, i.e. Rindler space is d s 2 = − ρ 2 d σ 2 + d
Unruh_effect
Cartesian vectors of position and velocity of an orbiting body in space
many forms including the traditional Position-Velocity vectors, Two-line element set (TLE), and Vector Covariance Matrix (VCM). State vectors are defined
Orbital_state_vectors
Standardized style of writing in technical drawing
contour of the upper-case (capital). Central Line is the imaginary line in the middle of each line or line element which is a constitutive part of a graphic
Technical_lettering
Mathematical concept applicable to physics
vector line element of the closed curve ∂ A {\displaystyle \partial A} , with magnitude equal to the length of the infinitesimal line element, and direction
Flux
Propagation of NORAD Element Sets (PDF) (Report). Retrieved November 8, 2022. Vallado, David A., and Paul J. Cefola. "Two-line element sets-Practice and
BSTAR
Models used to calculate the orbital state of a satellite
SGP4 due to the frequency of use of that model particularly with two-line element sets produced by NORAD and NASA. These models predict the effect of perturbations
Simplified perturbations models
Simplified_perturbations_models
NORAD satellite identifier
debris Two-line element set (TLE) United States Space Surveillance Network Kelso, T.S. (January 1998). "Frequently Asked Questions: Two-Line Element Set Format"
Satellite_Catalog_Number
Periodic table of the elements with eight or more periods
Extended periodic table Element 119 (Uue, marked here) in period 8 (row 8) marks the start of theorisations. An extended periodic table theorizes about
Extended_periodic_table
Inner product of a surface in 3D, induced by the dot product
of curves on the surface and the areas of regions on the surface. The line element ds may be expressed in terms of the coefficients of the first fundamental
First_fundamental_form
Coordinates to capture characteristics of rotating frames of reference
who rotate rigidly around an axis of cylindrical symmetry. From the line element d s 2 = − d T 2 + d Z 2 + d R 2 + R 2 d Φ 2 , − ∞ < T , Z < ∞ , 0 < R
Born_coordinates
Earth, water, air, fire, and (later) aether
"element (στοιχεῖον, stoicheîon)" in reference to air, fire, earth, and water. The ancient Greek word for element, stoicheion (from stoicheo, "to line
Classical_element
Type of electrical circuit model
In electrical engineering, the distributed-element model or transmission-line model of electrical circuits assumes that the attributes of the circuit (resistance
Distributed-element_model
Flexible metal tube to carry fluids
A metal hose is a flexible metal line element. There are two basic types of metal hose that differ in their design and application: stripwound hoses and
Metal_hose
Type of electronic filter circuit
decreases. The distributed-element model applies at all frequencies, and is used in transmission-line theory; many distributed-element components are made of
Distributed-element_filter
Physical quantity that expresses internal forces in a continuous material
between two adjacent "particles" across their common line element, divided by the length of that line. Some components of the stress tensor can be ignored
Stress_(mechanics)
Alphanumerical designation for spacecraft
well). Kelso, T.S. (January 1998). "Frequently Asked Questions: Two-Line Element Set Format". Satellite Times. Retrieved 3 October 2019. McDowell, Jonathan
International_Designator
Tool from special relativity
(see the figure above). Setting d t = 0 {\displaystyle dt=0} in the line element, we see that these have the ordinary Euclidean geometry, d σ 2 = d x
Rindler_coordinates
Geometric system used in thermodynamics
recognized if one considers the metric tensor gij in the distance formula (line element) between the two equilibrium states d s 2 = g i j R d x i d x j , {\displaystyle
Ruppeiner_geometry
Chemical element with atomic number 80 (Hg)
Mercury is a chemical element; it has symbol Hg and atomic number 80. It is commonly known as quicksilver. A heavy, silvery d-block element, mercury is the
Mercury_(element)
Integration over a non-flat region in 3D space
integrating vector fields. Area element Divergence theorem Stokes' theorem Line integral Line element Volume element Volume integral Cartesian coordinate
Surface_integral
center of the train on one axis. The focus of the element is keeping the train moving in a straight line, which is accomplished by having the track change
List of roller coaster elements
List_of_roller_coaster_elements
Class of solutions to Einstein's equation in general relativity
of static solutions to Einstein's equation in general relativity. The line element for the conformastatic class of solutions in Weyl's canonical coordinates
Conformastatic_spacetimes
Coordinate system used to represent certain spacetimes
chart (on a static spherically symmetric spacetime), the metric (a.k.a. line element) takes the form g = − a ( r ) 2 d t 2 + b ( r ) 2 ( d r 2 + r 2 ( d θ
Isotropic_coordinates
Predecessor to the theory of relativity
g_{ab}=\phi ^{2}\,\eta _{ab}} . If we adopt Cartesian coordinates with line element d σ 2 = η a b d x a d x b {\displaystyle d\sigma ^{2}=\eta _{ab}\,dx^{a}\
Nordström's theory of gravitation
Nordström's_theory_of_gravitation
Geometry definition file format
... # Polygonal face element (see below) f 1 2 3 f 3/1 4/2 5/3 f 6/4/1 3/5/3 7/6/5 f 7//1 8//2 9//3 f ... ... # Line element (see below) l 5 8 1 2 4
Wavefront_.obj_file
Individual component of an HTML document
An HTML element is a type of HTML (HyperText Markup Language) document component, one of several types of HTML nodes (some common node types include document
HTML_element
Every 2-dimensional pseudo-Riemannian manifold is conformally flat. The line element of the two dimensional spherical coordinates, like the one used in the
Conformally_flat_manifold
Solution to Einstein equation
d − 2 < ∞ {\displaystyle -\infty <t,x_{1},...,x_{d-2}<\infty } . The line element for a spacetime that is stationary, time reversal invariant, space inversion
AdS_black_brane
Coordinate system in black hole physics
Schwarzschild chart (on a static spherically symmetric spacetime), the line element takes the form g = − a ( r ) 2 d t 2 + b ( r ) 2 d r 2 + r 2 ( d θ 2
Schwarzschild_coordinates
Coordinates comprising two distances and an angle
useful to know the line and volume elements; these are used in integration to solve problems involving paths and volumes. The line element is d r = d ρ ρ
Cylindrical_coordinate_system
through in-app purchases. Look4Sat – predicts satellite passes from a two-line element set database, including a polar view function with satellite footprints
List of satellite pass predictors
List_of_satellite_pass_predictors
Wall intended to withstand lateral loads
A shear wall is an element of a structurally engineered system that is designed to resist in-plane lateral forces, typically wind and seismic loads. A
Shear_wall
Irreducible parts of a load-bearing structural system
simple elements (each bearing a structural load). Within a structure, an element cannot be broken down (decomposed) into parts of different kinds (e.g.
Structural_element
2024 wildfire in Arizona, USA
The 2024 Element Fire was a wildfire that burned 5,364 acres across Mohave County in the U.S. state of Arizona from August 6 to August 19. It was the
Element_Fire
Irish mathematician and physicist (1897–1995)
PMID 16586877. Synge, J. L. (1925). "A generalisation of the Riemannian line-element". Trans. Amer. Math. Soc. 27 (1): 61–67. doi:10.1090/s0002-9947-1925-1501298-7
John_Lighton_Synge
Chemical file format
formatting of the .xyz file format is as follows: <number of atoms> comment line <element> <X> <Y> <Z> ... Connectivity information in the XYZ file format is
XYZ_file_format
Branch of geometry
{\displaystyle l} through a point P {\displaystyle P} , the line element is mapped to a line element l ′ {\displaystyle l'} through a point P ′ {\displaystyle
Contact_geometry
American consumer electronics company
Element Electronics is an American consumer electronics company founded in 2007 by Mike O’Shaughnessy and headquartered in Winnsboro, South Carolina,
Element_Electronics
Topics referred to by the same term
upper-atmospheric lightning, a weather phenomenon Two-line element set, a format for distributing orbital element data Technology and Livelihood Education, part
TLE
Point, line, or plane about which a molecule or crystal is symmetric
crystallography, a symmetry element is a point, line, or plane about which symmetry operations can take place. In particular, a symmetry element can be a mirror plane
Symmetry_element
Style sheet language
:link or :visited, whereas a pseudo-element makes a selection that may consist of partial elements, such as ::first-line or ::first-letter. Note the distinction
CSS
Infinitesimal volume of fluid within a fluid flow
In fluid dynamics, a fluid parcel, also known as a fluid element or material element, is an infinitesimal volume of fluid, identifiable throughout its
Fluid_parcel
tensor-valued form on an embedded surface, whose ratio with the infinitesimal line element cubed is invariant with respect to a choice of frame. This defintion
Laguerre_form
British developer of telecoms equipment
Element 14 Ltd. was a British developer of digital subscriber line (DSL) equipment created in July 1999 from the disposal of the assets of Acorn Computers
Element_14_Ltd.
Theorem in vector calculus
shorthands for the line element d Γ = d Γ d t d t {\displaystyle d\mathbf {\Gamma } ={\frac {d\mathbf {\Gamma } }{dt}}dt} and the surface element d Σ = n d Σ
Stokes'_theorem
Topic in general relativity
gauge is a perturbed form of the Friedmann–Lemaître–Robertson–Walker line element. The gauge freedom of general relativity is used to eliminate two scalar
Newtonian_gauge
Markup language
ELEMENT lines (line*)> <!ELEMENT line O - (#PCDATA)> <!ENTITY line-tagc "</line>"> <!SHORTREF one-line "&#RE;&#RS;" line-tagc> <!USEMAP one-line line>
Standard Generalized Markup Language
Standard_Generalized_Markup_Language
Radio aerial composed of directly-connected and passive elements
the Yagi typically consist of a driven element, connected to the receiver or transmitter through a feed line, and a number of other elements which are
Driven_and_parasitic_elements
NASA scientific research satellites
Log". Jonathan's Space Page. Retrieved 6 May 2017. "Celestrak NORAD Two-Line Element Sets". 5 May 2017. Retrieved 6 May 2017. "Missions - LAGEOS 1&2 - NASA
LAGEOS
Theorem in magnetohydrodynamics
surface integral over S3, the differential surface element dS3 = dl × v δt where dl is the line element around the boundary ∂S1 of the surface S1. Solving
Alfvén's_theorem
Integral over a 3-D domain
Mathematics portal Divergence theorem Surface integral Volume element Line element Line integral "Multiple integral", Encyclopedia of Mathematics, EMS
Volume_integral
Path that surrounds an area
the length of the path and d s {\displaystyle ds} is an infinitesimal line element. Both of these must be replaced by algebraic forms in order to be practically
Perimeter
Transmission line-based electrical circuit
used in distributed-element circuits is that a length of transmission line can be made to behave as a resonator. Distributed-element components which do
Distributed-element_circuit
Class of transposable elements that cause hybrid dysgenesis in eukaryotes
the P element but not the male cytoplasm leading to P strain progeny. This effect contributes to piRNAs being inherited only in the maternal line, which
P_element
Principle in theoretical physics
Max Born conjectured the invariance of a space-time-momentum-energy line element. Born and H.S. Green similarly introduced the notion an invariant (quantum)
Born_reciprocity
Mathematical model for describing material deformation under stress
neighbouring points, by transforming (linear transformation) a material line element emanating from that point from the reference configuration to the current
Finite_strain_theory
Math topic
everywhere in A and is also a measurable function. Markus, L. (1955). "Line Element Fields and Lorentz Structures on Differentiable Manifolds". Annals of
Line_field
Vector representing the position of a point with respect to a fixed origin
engineering and physics. Affine space Coordinate system Horizontal position Line element Parametric surface Position fixing Position four-vector Six degrees of
Position_(geometry)
Geocentric radio satellite
received a signal from the satellite and were concerned that the Two-line element set they were using to locate the satellite might be wrong. According
OSSI-1
Element Yachts is a second generation Canadian boatbuilding company located in Erin, Ontario. The company offers the Element line of express cruiser boats
Element_Yachts
Concept in classical electromagnetism
infinitesimal element (a differential) of the curve C (i.e. a vector with magnitude equal to the length of the infinitesimal line element, and direction
Ampère's_circuital_law
manifold by adding a Riemannian metric tensor, say the one defined by the line element d s 2 = ( 2 1 + x 2 + y 2 ) 2 ( d x 2 + d y 2 ) {\displaystyle ds^{2}=\left({\frac
Congruence_(manifolds)
Natural or artificial object that orbits another body
of the man-made RSOs currently orbiting Earth. One example is the two-line element set public catalog. "Towards an Artificial Space Object Taxonomy" (PDF)
Resident_space_object
example, the structuring element can be a "ball" or a line; convex or a ring, etc. By choosing a particular structuring element, one sets a way of differentiating
Structuring_element
Type of eyewear for shooting sports
lies on the font sight line element near the muzzle of the (non-magnifying) open type or diopter and globe type match sight line elements to get three
Shooting_glasses
Branch of physics about magnetism in systems with steady electric currents
field intensity, the second integral is a line integral around a closed loop C {\displaystyle C} with line element l {\displaystyle \mathbf {l} } . The current
Magnetostatics
Line integral of the fluid velocity around a closed curve
field and dl is a vector representing the differential length of a small element of a defined curve, the contribution of that differential length to circulation
Circulation_(physics)
Classical element in ancient Greek philosophy and science
assigned the cube to the element of earth in his dialogue Timaeus. Aristotle (384–322 BCE) believed earth was the heaviest element, and his theory of natural
Earth_(classical_element)
transmission line modelling (a.k.a. bi-directional delay line modelling), a capacitance (or inductance) is substituted with a transmission line element with wave
Co-simulation
Coordinate system whose directions vary in space
}} At each point, one can construct a small line element dx, so the square of the length of the line element is the scalar product dx • dx and is called
Curvilinear_coordinates
Specifies the orbit of an object in space
Earth-orbiting objects described by a two-line element set the epoch is specified as a date in the first line. The mean anomaly M can be computed from
Mean_anomaly
Electrical circuit with equal-length transmission lines
terminated in open-circuits. Commensurate line theory is particularly useful for designing distributed-element filters for use at microwave frequencies
Commensurate_line_circuit
Special characters in computing signifying the end of a line of text
15 August 2025. "<p>: The Paragraph element - HTML". MDN. Mozilla. 13 August 2025. "<br>: The Line Break element - HTML". MDN. Mozilla. 9 July 2025. Retrieved
Newline
Theorem in differential geometry
M}k_{g}\,ds=2\pi \chi (M),\,} where dA is the element of area of the surface, and ds is the line element along the boundary of M. Here, χ(M) is the Euler
Gauss–Bonnet_theorem
Coordinate system
chart (on a static spherically symmetric spacetime), the metric (a.k.a. line element) takes the form g = − a ( r ) 2 d t 2 + d r 2 + b ( r ) 2 ( d θ 2 + sin
Gaussian_polar_coordinates
Manageable logical entity uniting physical devices
In computer networks, a network element is a manageable logical entity uniting one or more physical devices. This allows distributed devices to be managed
Network_element
Visual representation of solutions to a differential equation
of slope values dy = slopes ./ sqrt(1 + slopes.^2); % normalize the line element... dx = ones(length(dy)) ./ sqrt(1 + slopes.^2); % ...magnitudes for
Slope_field
French mathematician (1819–1892)
embeddings in Euclidean 3-space of a surface with given Riemannian metric ("line element"). Topics named after Carl Friedrich Gauss Cutts, Elise (20 January 2026)
Pierre_Ossian_Bonnet
Ssimulation environment for fluid and mechatronic systems
is to create versions for the other systems as well. The transmission line element method is very suitable for parallel execution, due to physically motivated
Hopsan
Electrical component
accurately it will be representing the element values of the original lumped-element filter design. A transmission line that is terminated in some impedance
Quarter-wave impedance transformer
Quarter-wave_impedance_transformer
curves topics Frenet–Serret formulas Curves in differential geometry Line element Curvature Radius of curvature Osculating circle Curve Fenchel's theorem
List of differential geometry topics
List_of_differential_geometry_topics
Mathematical operation on vectors in 3D space
bivector. A bivector is an oriented plane element, in much the same way that a vector is an oriented line element. Given two vectors a and b, one can view
Cross_product
Theorem regarding circulation in a barotropic ideal fluid
{\displaystyle f} . For the second term, we note that evolution of the material line element is given by D d s D t = ( d s ⋅ ∇ ) u . {\displaystyle {\frac {\mathrm
Kelvin's_circulation_theorem
Clothing design element
clothing design, a panty line on a human body goes at an angle from the high hip down to the crotch. It is used as a reference line, for example, a babydoll
Panty_line
Natural number
behavior because 1 + 1 = 0 {\displaystyle 1+1=0} ; in particular, every element satisfies x = − x {\displaystyle x=-x} . For this reason, many algebraic
2
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