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AXIS ALIGNED-OBJECT

  • Axis-aligned object
  • In geometry, an axis-aligned object (axis-parallel, axis-oriented) is an object in n-dimensional space whose shape is aligned with the coordinate axes

    Axis-aligned object

    Axis-aligned_object

  • Minimum bounding box
  • Smallest box which encloses some set of points

    coordinate for the points in S. Axis-aligned minimal bounding boxes are used as an approximate location of an object in question and as a very simple

    Minimum bounding box

    Minimum bounding box

    Minimum_bounding_box

  • Tennis racket theorem
  • A rigid body with 3 distinct axes of inertia is unstable rotating about the middle axis

    rotation of an object around its first and third principal axes is stable, whereas rotation around its second principal axis (or intermediate axis) is not.

    Tennis racket theorem

    Tennis racket theorem

    Tennis_racket_theorem

  • Planet Nine
  • Hypothetical Solar System planet

    alignment also switched, from more aligned to anti-aligned with increasing semi-major axis, and from anti-aligned to aligned with increasing perihelion distance

    Planet Nine

    Planet Nine

    Planet_Nine

  • Extreme trans-Neptunian object
  • Solar system objects beyond the other known trans-Neptunian objects

    trans-Neptunian object (ETNO) orbits are suspected to be aligned with the hypothetical Planet Nine while the blue-colored ETNO orbits are anti-aligned. The highly

    Extreme trans-Neptunian object

    Extreme trans-Neptunian object

    Extreme_trans-Neptunian_object

  • Effects of Planet Nine on trans-Neptunian objects
  • vary with semi-major axis of the object and if the object is in resonance. At smaller semi-major axes the aligned and anti-aligned regions shrink and eventually

    Effects of Planet Nine on trans-Neptunian objects

    Effects_of_Planet_Nine_on_trans-Neptunian_objects

  • Moment of inertia
  • Scalar measure of the rotational inertia with respect to a fixed axis of rotation

    \end{aligned}}} Here I x x {\displaystyle I_{xx}} denotes the moment of inertia around the x {\displaystyle x} -axis when the objects are rotated

    Moment of inertia

    Moment of inertia

    Moment_of_inertia

  • Rotation around a fixed axis
  • Type of motion

    kinetic energy of the object, and for the forces on the parts of the object, are also simpler for rotation around a fixed axis, than for general rotational

    Rotation around a fixed axis

    Rotation around a fixed axis

    Rotation_around_a_fixed_axis

  • Semi-major and semi-minor axes
  • Term in geometry; longest and shortest semidiameters of an ellipse

    {\displaystyle {\begin{aligned}b&=a{\sqrt {1-e^{2}}},\\\ell &=a(1-e^{2}),\\a\ell &=b^{2}.\end{aligned}}} The semi-major axis of a hyperbola is, depending

    Semi-major and semi-minor axes

    Semi-major and semi-minor axes

    Semi-major_and_semi-minor_axes

  • Rotation
  • Movement of an object which leaves at least one point unchanged

    perpendicular to that axis). Similarly, the rotation rate of an object in three dimensions at any instant is about some axis, although this axis may be changing

    Rotation

    Rotation

    Rotation

  • Rectilinear polygon
  • Polygon in which all angles are right

    iso-oriented, axis-aligned, and axis-oriented polygons. These adjectives are less confusing when the polygons of this type are rectangles, and the term axis-aligned

    Rectilinear polygon

    Rectilinear polygon

    Rectilinear_polygon

  • Equatorial mount
  • Mounting system for camera or telescope

    instrument attached to it to stay fixed on any celestial object with diurnal motion by driving one axis at a constant speed. Such an arrangement is called a

    Equatorial mount

    Equatorial mount

    Equatorial_mount

  • Axis powers
  • Major alliance of World War II

    The Axis powers, originally called the Rome–Berlin Axis and also Rome–Berlin–Tokyo Axis, was the military coalition which initiated World War II and fought

    Axis powers

    Axis powers

    Axis_powers

  • Scheimpflug principle
  • Optical imaging rule

    image and object distances, so that m = − v u = − v − f f . {\displaystyle {\begin{aligned}m&=-{\frac {v}{u}}\\&=-{\frac {v-f}{f}}.\end{aligned}}} On the

    Scheimpflug principle

    Scheimpflug principle

    Scheimpflug_principle

  • Circular motion
  • Object movement along a circular path

    In kinematics, circular motion is the motion of an object along a circular path. Examples of this include a stone tied to a string, a car moving around

    Circular motion

    Circular_motion

  • Second moment of area
  • Mathematical construct in engineering

    {\displaystyle J} (for an axis perpendicular to the plane). In both cases, it is calculated with a multiple integral over the object in question. Its dimension

    Second moment of area

    Second_moment_of_area

  • Cartesian coordinate system
  • Coordinate system using perpendicular axes

    {\displaystyle {\begin{aligned}(+x,+y,+z)&&(-x,+y,+z)&&(+x,-y,+z)&&(+x,+y,-z)\\(+x,-y,-z)&&(-x,+y,-z)&&(-x,-y,+z)&&(-x,-y,-z)\end{aligned}}} The coordinates

    Cartesian coordinate system

    Cartesian coordinate system

    Cartesian_coordinate_system

  • Parallel axis theorem
  • Theorem in planar dynamics

    of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of gravity and the perpendicular

    Parallel axis theorem

    Parallel_axis_theorem

  • Equatorial coordinate system
  • Celestial coordinate system used to specify the positions of celestial objects

    + X η = y + Y ζ = z + Z {\displaystyle {\begin{aligned}\xi &=x+X\\\eta &=y+Y\\\zeta &=z+Z\end{aligned}}} Celestial coordinate system Planetary coordinate

    Equatorial coordinate system

    Equatorial coordinate system

    Equatorial_coordinate_system

  • Rolling
  • Type of motion which combines translation and rotation with respect to a surface

    in the object axis is a line, while the trajectory of any point in the object rim is a cycloid. The velocity of any point in the rolling object is given

    Rolling

    Rolling

    Rolling

  • Gimbal lock
  • Loss of one degree of freedom in a three-dimensional, three-gimbal mechanism

    accommodate rotation about one axis, leaving the suspended object effectively locked (i.e. unable to rotate) around that axis. The problem can be generalized

    Gimbal lock

    Gimbal lock

    Gimbal_lock

  • 3D projection
  • Design technique

    three-dimensional object (3D object) on a two-dimensional plane. These projections rely on visual perspective and aspect analysis to project a complex object for viewing

    3D projection

    3D projection

    3D_projection

  • Spacetime diagram
  • Graph of space and time in special relativity

    horizontal axis and time on the vertical axis. Additionally, the time and space units of measurement are chosen in such a way that an object moving at

    Spacetime diagram

    Spacetime diagram

    Spacetime_diagram

  • Lens
  • Optical device which transmits and refracts light

    material), u {\textstyle u} is the on-axis (on the optical axis) object distance from the line perpendicular to the axis toward the refraction point on the

    Lens

    Lens

    Lens

  • Line (geometry)
  • Straight figure with zero width and depth

    {\displaystyle {\begin{aligned}X&=(x_{1},x_{2},\dots ,x_{n}),\\Y&=(y_{1},y_{2},\dots ,y_{n}),\\Z&=(z_{1},z_{2},\dots ,z_{n}),\end{aligned}}} are collinear if

    Line (geometry)

    Line (geometry)

    Line_(geometry)

  • Precession
  • Periodic change in the direction of a rotation axis

    symmetry axis. When an object is not perfectly rigid, inelastic dissipation will tend to damp torque-free precession, and the rotation axis will align itself

    Precession

    Precession

    Precession

  • Pole star
  • Visible star that is nearly aligned with Earth's axis of rotation

    A pole star is a visible star that is approximately aligned with the axis of rotation of an astronomical body; that is, a star whose apparent position

    Pole star

    Pole star

    Pole_star

  • Centrifugal force
  • Type of inertial force

    appears to act on all objects when viewed in a rotating frame of reference. It appears to be directed perpendicularly from the axis of rotation of the frame

    Centrifugal force

    Centrifugal force

    Centrifugal_force

  • Angular momentum
  • Conserved physical quantity; rotational analogue of linear momentum

    {\begin{aligned}\mathbf {r} _{i}&=\mathbf {v} _{i}=\mathbf {0} ,\\\mathbf {r} &=\mathbf {R} ,\\\mathbf {v} &=\mathbf {V} ,\\m&=M,\end{aligned}}} ∑ i r

    Angular momentum

    Angular momentum

    Angular_momentum

  • Parametric equation
  • Representation of a curve by a function of a parameter

    parametrisation) of the object. For example, the equations x = cos ⁡ t y = sin ⁡ t {\displaystyle {\begin{aligned}x&=\cos t\\y&=\sin t\end{aligned}}} form a parametric

    Parametric equation

    Parametric equation

    Parametric_equation

  • Cardinal point (optics)
  • Six points which determine imaging properties of an optical system

    centred on the optical axis there will only pass rays that were emitted from the object at a sufficiently small angle from the optical axis. Using a sufficiently

    Cardinal point (optics)

    Cardinal_point_(optics)

  • Concentric objects
  • Geometric objects with a common centre

    quadrics. Geometric objects are coaxial if they share the same axis (line of symmetry). Geometric objects with a well-defined axis include circles (any

    Concentric objects

    Concentric objects

    Concentric_objects

  • Mohr's circle
  • Geometric civil engineering calculation technique

    {MPa}}\\\end{aligned}}} σ 2 = σ a v g − R = − 30 MPa {\displaystyle {\begin{aligned}\sigma _{2}&=\sigma _{\mathrm {avg} }-R\\&=-30{\textrm {MPa}}\\\end{aligned}}}

    Mohr's circle

    Mohr's circle

    Mohr's_circle

  • Thin lens
  • Lens with a thickness that is negligible

    {\begin{aligned}e&\approx nr_{2}\\&=n(i-r_{1})\\&\approx n(i-{\frac {i}{n}})\end{aligned}}} If the incoming ray is parallel to the optical axis and distance

    Thin lens

    Thin lens

    Thin_lens

  • Acceleration
  • Rate of change of velocity

    {\displaystyle {\begin{aligned}a_{x}&={\frac {dv_{x}}{dt}}={\frac {d^{2}x}{dt^{2}}},\\a_{y}&={\frac {dv_{y}}{dt}}={\frac {d^{2}y}{dt^{2}}}.\end{aligned}}} The two-dimensional

    Acceleration

    Acceleration

    Acceleration

  • Orbit
  • Curved path of an object around a point

    an object under the influence of an attracting force. Alternatively, it is known as an orbital revolution, because it is a rotation around an axis external

    Orbit

    Orbit

    Orbit

  • Astronomical nutation
  • Variance in a celestial body's axis of rotation over time

    a phenomenon which causes the orientation of the axis of rotation of a spinning astronomical object to vary over time. It is caused by the gravitational

    Astronomical nutation

    Astronomical_nutation

  • Sundial
  • Time-telling device

    the geographical latitude. This axis is aligned with the celestial poles, which is closely, but not perfectly, aligned with the pole star Polaris. For

    Sundial

    Sundial

    Sundial

  • Bounding volume
  • Closed volume that completely contains the union of a set of objects

    object. In most applications the axis of the cylinder is aligned with the vertical direction of the scene. Cylinders are appropriate for 3-D objects that

    Bounding volume

    Bounding volume

    Bounding_volume

  • Euler angles
  • Description of the orientation of a rigid body

    the object. As an example, consider a top. If we define the Z axis to be the symmetry axis of the top, then the top spinning around its own axis of symmetry

    Euler angles

    Euler angles

    Euler_angles

  • Isometric projection
  • Method for visually representing three-dimensional objects

    with the camera aligned parallel to the floor and aligned to the coordinate axes, it is first rotated horizontally (around the vertical axis) by ±45°, then

    Isometric projection

    Isometric projection

    Isometric_projection

  • Rotational frequency
  • Number of rotations per unit time

    lowercase Greek nu, and also n), is the frequency of rotation of an object around an axis. Its SI unit is the reciprocal seconds (s−1); other common units

    Rotational frequency

    Rotational frequency

    Rotational_frequency

  • Magnification
  • Process of enlarging the apparent size of something

    subtended by an object (w.r.t the optical axis) and ε {\textstyle \varepsilon } is the angle subtended by its image (also w.r.t the optical axis) made by an

    Magnification

    Magnification

    Magnification

  • Quaternions and spatial rotation
  • Correspondence between quaternions and 3D rotations

    +\alpha }{2}}\right)\mathbf {B} \times \mathbf {A} \end{aligned}}} finally normalizing the rotation axis: D 2 sin ⁡ 1 2 γ {\textstyle {\frac {\mathbf {D} }{2\sin

    Quaternions and spatial rotation

    Quaternions_and_spatial_rotation

  • Velocity
  • Speed and direction of a motion

    {u}})+a^{2}t^{2}\end{aligned}}} ( 2 a ) ⋅ x = ( 2 a ) ⋅ ( u t + 1 2 a t 2 ) = 2 t ( a ⋅ u ) + a 2 t 2 = v 2 − u 2 {\displaystyle {\begin{aligned}(2{\boldsymbol

    Velocity

    Velocity

    Velocity

  • 2D rotation
  • Movement of an object which leaves one point unchanged

    cos ⁡ θ . {\displaystyle {\begin{aligned}x'&=x\cos \theta -y\sin \theta \\y'&=x\sin \theta +y\cos \theta .\end{aligned}}} The vectors [ x y ] {\displaystyle

    2D rotation

    2D_rotation

  • Orientation (geometry)
  • Position of something in relation to its surroundings

    similar method, called axis–angle representation, describes a rotation or orientation using a unit vector aligned with the rotation axis, and a separate value

    Orientation (geometry)

    Orientation (geometry)

    Orientation_(geometry)

  • Ecliptic coordinate system
  • Celestial coordinate system used to describe Solar System objects

    z = r sin ⁡ b {\displaystyle {\begin{aligned}x&=r\cos b\cos \ell \\y&=r\cos b\sin \ell \\z&=r\sin b\end{aligned}}} [ x equatorial y equatorial z equatorial

    Ecliptic coordinate system

    Ecliptic coordinate system

    Ecliptic_coordinate_system

  • Spherical coordinate system
  • Coordinates comprising a distance and two angles

    {\displaystyle {\begin{aligned}x&=r\sin \theta \,\cos \varphi ,\\y&=r\sin \theta \,\sin \varphi ,\\z&=r\cos \theta .\end{aligned}}} Cylindrical coordinates

    Spherical coordinate system

    Spherical coordinate system

    Spherical_coordinate_system

  • Herbig–Haro object
  • Small patches of nebulosity associated with newly born stars

    Herbig–Haro objects are commonly found in star-forming regions, and several are often seen around a single star, aligned with its rotational axis. Most of

    Herbig–Haro object

    Herbig–Haro object

    Herbig–Haro_object

  • Cylindrical coordinate system
  • Coordinates comprising two distances and an angle

    ρ sin ⁡ φ z = z {\displaystyle {\begin{aligned}x&=\rho \cos \varphi \\y&=\rho \sin \varphi \\z&=z\end{aligned}}} in one direction, and ρ = x 2 + y 2 φ

    Cylindrical coordinate system

    Cylindrical coordinate system

    Cylindrical_coordinate_system

  • Coriolis force
  • Apparent force in a rotating reference frame

    proportional to the object's speed in the rotating frame (more precisely, to the component of its velocity that is perpendicular to the axis of rotation). The

    Coriolis force

    Coriolis force

    Coriolis_force

  • Vertical and horizontal
  • Directional planes

    vertical can be drawn from "up" to "down" (or down to up), such as the y-axis in the Cartesian coordinate system. The word horizontal is derived from the

    Vertical and horizontal

    Vertical and horizontal

    Vertical_and_horizontal

  • Polar alignment
  • Method of orienting telescopes and other celestial observation devices

    the act of aligning the rotational axis of a telescope's equatorial mount or a sundial's gnomon with a celestial pole to parallel Earth's axis. The method

    Polar alignment

    Polar_alignment

  • 3D rotation group
  • Group of rotations in 3 dimensions

    2 , {\displaystyle {\begin{aligned}q&=w+x\mathbf {i} +y\mathbf {j} +z\mathbf {k} ,\\1&=w^{2}+x^{2}+y^{2}+z^{2},\end{aligned}}} is mapped to the rotation

    3D rotation group

    3D_rotation_group

  • Autostereogram
  • Visual illusion of 3D scene

    intelligible icons which represent objects or concepts. In this autostereogram, patterns become smaller and smaller down the y-axis, until they look like random

    Autostereogram

    Autostereogram

    Autostereogram

  • Torque
  • Turning force around an axis

    body, a torque can be thought of as a twist applied to an object with respect to a chosen axis. For example, when driving a screw, a screwdriver applies

    Torque

    Torque

    Torque

  • Kinematics equations
  • Constraint equations of a mechanical system

    t\end{aligned}}.} In programming, this is often performed with the algorithm, x ← x + v t + 1 2 a t 2 v ← v + a t . {\displaystyle {\begin{aligned}\mathbf

    Kinematics equations

    Kinematics_equations

  • Parabola
  • Plane curve: conic section

    {\displaystyle {\begin{aligned}h&={\frac {p}{2}},\\q&={\sqrt {f^{2}+h^{2}}},\\s&={\frac {hq}{f}}+f\ln {\frac {h+q}{f}}.\end{aligned}}} This quantity s is

    Parabola

    Parabola

    Parabola

  • Lorentz transformation
  • Family of linear transformations

    {\displaystyle {\begin{aligned}t'&=\gamma \left(t-{\frac {vx}{c^{2}}}\right)\\x'&=\gamma \left(x-vt\right)\\y'&=y\\z'&=z\end{aligned}}} where (t, x, y, z)

    Lorentz transformation

    Lorentz transformation

    Lorentz_transformation

  • Spherical aberration
  • Optical aberration

    i + o , {\displaystyle {\begin{aligned}s&={\frac {R_{2}+R_{1}}{R_{2}-R_{1}}}\\[8pt]p&={\frac {i-o}{i+o}},\end{aligned}}} one can write the longitudinal

    Spherical aberration

    Spherical aberration

    Spherical_aberration

  • Kuiper belt
  • Area of the Solar System beyond the planets, comprising small bodies

    corresponds to a characteristic semi-major axis of about 39.4 AU. This 2:3 resonance is populated by about 200 known objects, including Pluto together with its

    Kuiper belt

    Kuiper belt

    Kuiper_belt

  • Abbe sine condition
  • Design rule for optical systems

    optical system in order for it to produce sharp images of off-axis as well as on-axis objects. It was formulated by Ernst Abbe in the context of microscopes

    Abbe sine condition

    Abbe sine condition

    Abbe_sine_condition

  • Direct manipulation interface
  • Interface in computer science, human-computer interaction, and interaction design

    three arrows translates the object along the appropriate axis. The axes may be aligned with the world-space axes, the object-space axes, or some other space

    Direct manipulation interface

    Direct_manipulation_interface

  • Four-dimensional space
  • Geometric space with four dimensions

    three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world. This concept of ordinary space is called Euclidean

    Four-dimensional space

    Four-dimensional space

    Four-dimensional_space

  • GoTo (telescopes)
  • Type of telescope mount and related software

    coordinates. To track the object so that it stays in the eyepiece despite Earth's rotation, only the right-ascension axis is moved. Smart telescopes

    GoTo (telescopes)

    GoTo (telescopes)

    GoTo_(telescopes)

  • Roundness
  • Measure of how closely the shape of an object approaches that of a circle

    points on the object, but is a separate precision bearing usually on the measuring instrument. The axis of the object or part of the object to be measured

    Roundness

    Roundness

  • Spheroid
  • Surface formed by rotating an ellipse

    {\begin{aligned}e&={\sqrt {2f-f^{2}}}\\f&=1-{\sqrt {1-e^{2}}}\end{aligned}}} All modern geodetic ellipsoids are defined by the semi-major axis plus either

    Spheroid

    Spheroid

    Spheroid

  • Degeneracy (mathematics)
  • Limiting case which is different from the rest of the class

    lower-dimensional hyperrectangle, all the way down to a point if the sides aligned with every axis have length zero. A convex polygon is degenerate if at least two

    Degeneracy (mathematics)

    Degeneracy_(mathematics)

  • Poinsot's ellipsoid
  • Geometric method for visualizing a rotating rigid body

    intermediate axis is not aligned with the angular momentum, then the podhode will be a curbe going from one end of the intermediate axis to the other

    Poinsot's ellipsoid

    Poinsot's_ellipsoid

  • Earth-centered inertial
  • Coordinate frames

    J2000 or EME2000. The x-axis is aligned with the mean vernal equinox. The z-axis is aligned with the Earth's rotation axis (or equivalently, the celestial

    Earth-centered inertial

    Earth-centered inertial

    Earth-centered_inertial

  • Remote center compliance
  • Device to facilitate robotic insertion into holes with tight clearance

    peg over the hole, and then push the peg along the axis of the hole. If the peg is perfectly aligned and centered, it would then slide into the hole. However

    Remote center compliance

    Remote center compliance

    Remote_center_compliance

  • Hydrostatic equilibrium
  • State of balance between external forces on a fluid and internal pressure gradient

    geology. Said qualification of equilibrium indicates that the shape of the object is symmetrically rounded, mostly by rotation, into an ellipsoid, where any

    Hydrostatic equilibrium

    Hydrostatic equilibrium

    Hydrostatic_equilibrium

  • Sedna (dwarf planet)
  • Distant body in the outer Solar System

    its semi-major axis to the 3/2 power, times a constant 1.7×1016.(see equation 4) If an object's Λ is greater than 1, then that object will eventually

    Sedna (dwarf planet)

    Sedna (dwarf planet)

    Sedna_(dwarf_planet)

  • Classical Kuiper belt object
  • Kuiper belt object, not controlled by an orbital resonance with Neptune

    traditional usage of the terms is based on the orbit's semi-major axis, and includes objects situated between the 2:3 and 1:2 resonances, that is between 39

    Classical Kuiper belt object

    Classical Kuiper belt object

    Classical_Kuiper_belt_object

  • Longitude of the ascending node
  • Defining the orbit of an object in space

    ascending node, is one of the orbital elements used to specify the orbit of an object in space. Denoted with the symbol Ω, it is the angle from a specified reference

    Longitude of the ascending node

    Longitude of the ascending node

    Longitude_of_the_ascending_node

  • Bounding volume hierarchy
  • Graphics structure

    corresponding data objects very tightly. One of the most commonly used bounding volumes is an axis-aligned minimum bounding box. The axis-aligned minimum bounding

    Bounding volume hierarchy

    Bounding_volume_hierarchy

  • Rotation formulations in three dimensions
  • Ways to represent 3D rotations

    1-2\left(q_{j}^{2}+q_{k}^{2}\right)\right)\end{aligned}}} Given the Euler axis ê and angle θ, the quaternion q = [ q i q j q k q r ] = q i

    Rotation formulations in three dimensions

    Rotation_formulations_in_three_dimensions

  • Image stabilization
  • Techniques used to reduce blurring of images

    electronic image stabilization can also compensate for rotation about the optical axis (roll). It is mainly used in high-end image-stabilized binoculars, still

    Image stabilization

    Image stabilization

    Image_stabilization

  • Galactic coordinate system
  • Celestial coordinate system in spherical coordinates, with the Sun as its center

    velocities of galactic objects. In these systems the xyz-axes are designated UVW, but the definitions vary by author. In one system, the U axis is directed toward

    Galactic coordinate system

    Galactic coordinate system

    Galactic_coordinate_system

  • Barycenter (astronomy)
  • Center of mass of multiple bodies orbiting each other

    or more bodies orbit. A barycenter is a dynamical point, not a physical object. It is an important concept in fields such as astronomy and astrophysics

    Barycenter (astronomy)

    Barycenter (astronomy)

    Barycenter_(astronomy)

  • CIELAB color space
  • Standard color space with color-opponent values

    8840 {\displaystyle {\begin{aligned}X_{\mathrm {n} }&=95.0489,\\Y_{\mathrm {n} }&=100,\\Z_{\mathrm {n} }&=108.8840\end{aligned}}} For illuminant D50, which

    CIELAB color space

    CIELAB color space

    CIELAB_color_space

  • Orbit determination
  • Estimation of orbits of objects

    orbiting objects. As time goes by, the actual path of an orbiting object tends to diverge from the predicted path (especially if the object is subject

    Orbit determination

    Orbit determination

    Orbit_determination

  • Keratometer
  • Diagnostic instrument used to assess the extent and axis of astigmatism

    4 apertures – As there are two prisms, each aligned perpendicular to the other, the major and minor axis powers can be measured independently without

    Keratometer

    Keratometer

    Keratometer

  • Surface of revolution
  • Surface created by rotating a curve about an axis

    dt\end{aligned}}} where the same trigonometric identity was used again. The derivation for a surface obtained by revolving around the y-axis is similar

    Surface of revolution

    Surface of revolution

    Surface_of_revolution

  • Fictitious force
  • Frame-dependent apparent force in Physics

    apparent change in the velocity of an object when its position changes, putting it nearer to or further from the axis of rotation (the change in ∑ x j d

    Fictitious force

    Fictitious force

    Fictitious_force

  • Kinetic energy
  • Energy of a moving physical body

    an axis through the center of mass and the rotation measured by ω must be around that axis; more general equations exist for systems where the object is

    Kinetic energy

    Kinetic energy

    Kinetic_energy

  • Torus
  • Doughnut-shaped surface of revolution

    {\begin{aligned}A&=\left(2\pi r\right)\left(2\pi R\right)=4\pi ^{2}Rr,\\[5mu]V&=\left(\pi r^{2}\right)\left(2\pi R\right)=2\pi ^{2}Rr^{2}.\end{aligned}}} These

    Torus

    Torus

    Torus

  • Stokes's law
  • Equation for the velocity of a body in viscous fluid

    z–axis is through the centre of the sphere and aligned with the mean flow direction, while r is the radius as measured perpendicular to the z–axis. The

    Stokes's law

    Stokes's_law

  • 2023 KQ14
  • Sednoid

    2023 KQ14, informally nicknamed Ammonite, is a trans-Neptunian object (TNO) orbiting the Sun on an extremely wide elliptical orbit. It was discovered by

    2023 KQ14

    2023 KQ14

    2023_KQ14

  • Equations of motion
  • Equations that describe the behavior of a physical system

    unit vector in the direction of the axis of rotation, and θ is the angle the object turns through about the axis. The following relation holds for a point-like

    Equations of motion

    Equations of motion

    Equations_of_motion

  • Solar tracker
  • Device that orients a payload towards the Sun

    side. Thus according to the above table, an optimally aligned single-axis tracker (see polar aligned tracker below) will only lose 8.3% at the summer and

    Solar tracker

    Solar tracker

    Solar_tracker

  • Vis-viva equation
  • Concept in gravitational orbital mechanics

    aligned}}} From the geometry of an ellipse, 2 a = r p + r a {\displaystyle 2a=r_{p}+r_{a}} where a is the length of the semimajor axis. Thus, 1

    Vis-viva equation

    Vis-viva_equation

  • Bounding interval hierarchy
  • superset, BSP trees). Finally, BIH is axis-aligned as are its ancestors. Although a more general non-axis-aligned implementation of the BIH should be possible

    Bounding interval hierarchy

    Bounding_interval_hierarchy

  • Triplet state
  • Quantum state of a system

    object such as an electron, atom, or molecule, having a quantum spin S = 1. It has three allowed values of the spin's projection along a given axis mS

    Triplet state

    Triplet state

    Triplet_state

  • Astrophysical jet
  • Stream of ionized matter flowing away from a rotating astronomical object

    expelled at high velocity from an astronomical object, in a pair of narrow streams aligned with the object's axis of rotation. When the matter in the beam approaches

    Astrophysical jet

    Astrophysical jet

    Astrophysical_jet

  • Eötvös effect
  • Physical phenomenon

    following is valid: objects that are at rest on the surface of the Earth, co-rotating with the Earth, are circling the Earth's axis, so they are in centripetal

    Eötvös effect

    Eötvös_effect

  • Parallactic angle
  • frame, with X-axis aligned to the south, where the local meridian intersects the horizon, Y-axis toward the eastern horizon, and Z-axis toward the zenith

    Parallactic angle

    Parallactic_angle

  • Distortion (optics)
  • Deviation from rectilinear projection (optics)

    distortion, image magnification decreases with distance from the optical axis. The apparent effect is an image that seems to be mapped around a sphere

    Distortion (optics)

    Distortion_(optics)

  • Latitude
  • Geographic coordinate specifying north-south position

    with centre at the centre of mass of the Earth and minor axis aligned to the rotation axis of the Earth. These geocentric ellipsoids are usually within

    Latitude

    Latitude

    Latitude

AI & ChatGPT searchs for online references containing AXIS ALIGNED-OBJECT

AXIS ALIGNED-OBJECT

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AXIS ALIGNED-OBJECT

  • Dhari
  • Girl/Female

    Indian

    Dhari

    Axis

    Dhari

  • ALIS
  • Female

    English

    ALIS

     Short form of English Alisa, ALIS means "noble sort." Compare with another form of Alis.

    ALIS

  • Qutb
  • Boy/Male

    Arabic, Muslim

    Qutb

    Pivot; Pole; Axis; Celebrity; Personality

    Qutb

  • ALINE
  • Female

    English

    ALINE

     Variant spelling of English Aileen, ALINE means "little Eve." Compare with another form of Aline.

    ALINE

  • ALINE
  • Female

    French

    ALINE

     Contracted form of French Adeline, ALINE means "little noble." Compare with another form of Aline.

    ALINE

  • Serapis
  • Boy/Male

    Egyptian

    Serapis

    Apis.

    Serapis

  • Anis
  • Boy/Male

    Muslim

    Anis

    Companion. Genial. Close friend.

    Anis

  • AVIS
  • Female

    English

    AVIS

     English adopted use of German Avis ("refuge in war"). But its popularity in the Middle Ages was due to its association with the Latin noun avis, AVIS means "bird." 

    AVIS

  • Qutb
  • Boy/Male

    Muslim

    Qutb

    Pivot. Pole. Axis. Celebrity.

    Qutb

  • Apis
  • Boy/Male

    Egyptian

    Apis

    Mythical dead bull thought to be Osiris.

    Apis

  • ALIS
  • Female

    Welsh

    ALIS

     Welsh form of French Alais, ALIS means "noble sort." Compare with another form of Alis.

    ALIS

  • Amis
  • Surname or Lastname

    English

    Amis

    English : variant of Ames.

    Amis

  • Anis
  • Boy/Male

    Indian

    Anis

    Close friend, Good company, Smart one, Companion, Supreme

    Anis

  • Dhuri
  • Boy/Male

    Indian, Sanskrit

    Dhuri

    Axis; Yoke

    Dhuri

  • AVIS
  • Female

    German

    AVIS

     Old German nickname, possibly AVIS means "refuge in war." Compare with another form of Avis.

    AVIS

  • Qutub
  • Girl/Female

    Assamese, Indian

    Qutub

    Tall; Pivot; Pole; Axis

    Qutub

  • Asis
  • Girl/Female

    Indian

    Asis

    Blessing, Prayer

    Asis

  • HAPI
  • Male

    Egyptian

    HAPI

    , Apis.

    HAPI

  • Qutub
  • Boy/Male

    Muslim

    Qutub

    Pivot. Pole. Axis. Celebrity.

    Qutub

  • Avis
  • Surname or Lastname

    English

    Avis

    English : from the Norman female personal name Avice (Old French Avice, Latin Avitia, also found in a masculine form, Avitius). This is of uncertain origin, perhaps from a Celtic (Gaulish) name.French : Tanguay and Jetté have people named Avice, Avisse in Quebec from 1666. Nègre has an Avèze (Puy-de-Dome) also deriving from Avitius.

    Avis

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Online names & meanings

  • Vrind | வ்ரீந்த
  • Boy/Male

    Tamil

    Vrind | வ்ரீந்த

    Troop or covery

  • Jaisnava
  • Boy/Male

    Indian, Sanskrit

    Jaisnava

    Desirous of Victory

  • SANJIV
  • Male

    Hindi/Indian

    SANJIV

    (संजीव) Hindi name derived from the word samjiva, SANJIV means "reviving."

  • Kettell
  • Surname or Lastname

    English

    Kettell

    English : variant spelling of Kettle.Altered spelling of German Kettel.

  • Avaneeth
  • Boy/Male

    Hindu

    Avaneeth

    Immovable morals

  • Adisheshu
  • Boy/Male

    Indian

    Adisheshu

  • Hosea
  • Surname or Lastname

    English

    Hosea

    English : from the Biblical personal name Hosea.

  • Rajkumari | ராஜகுமாரீ
  • Girl/Female

    Tamil

    Rajkumari | ராஜகுமாரீ

    Princess

  • Procter
  • Surname or Lastname

    English (Cumbria and West Yorkshire)

    Procter

    English (Cumbria and West Yorkshire) : variant spelling of Proctor.

  • Viola
  • Girl/Female

    American, Australian, British, Chinese, Christian, Czechoslovakian, Danish, Dutch, English, Finnish, French, German, Italian, Latin, Netherlands, Shakespearean, Swedish

    Viola

    Form of Violet; Violet Flower; Purple; Twelfth Night; Musical; Talanted

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Other words and meanings similar to

AXIS ALIGNED-OBJECT

AI search in online dictionary sources & meanings containing AXIS ALIGNED-OBJECT

AXIS ALIGNED-OBJECT

  • Axis
  • n.

    Also used of the body only of the vertebra, which is prolonged anteriorly within the foramen of the first vertebra or atlas, so as to form the odontoid process or peg which serves as a pivot for the atlas and head to turn upon.

  • Axis
  • n.

    A straight line, real or imaginary, passing through a body, on which it revolves, or may be supposed to revolve; a line passing through a body or system around which the parts are symmetrically arranged.

  • Axis
  • n.

    The spotted deer (Cervus axis or Axis maculata) of India, where it is called hog deer and parrah (Moorish name).

  • Interaxis
  • n.

    The space between two axes. See Axis, 6.

  • Axis
  • n.

    One of several imaginary lines, assumed in describing the position of the planes by which a crystal is bounded.

  • Axial
  • a.

    Of or pertaining to an axis; of the nature of, or resembling, an axis; around an axis.

  • Maligned
  • imp. & p. p.

    of Malign

  • Right-lined
  • a.

    Formed by right lines; rectilineal; as, a right-lined angle.

  • Aline
  • v. t.

    To range or place in a line; to bring into line; to align.

  • Apis
  • n.

    A genus of insects of the order Hymenoptera, including the common honeybee (Apis mellifica) and other related species. See Honeybee.

  • Axis
  • n.

    The primary or secondary central line of any design.

  • Axis
  • n.

    The stem; the central part, or longitudinal support, on which organs or parts are arranged; the central line of any body.

  • Axes
  • pl.

    of Axis

  • Aliene
  • v. t.

    To alien or alienate; to transfer, as title or property; as, to aliene an estate.

  • Neuraxis
  • n.

    See Axis cylinder, under Axis.

  • Axis
  • n.

    A straight line with respect to which the different parts of a magnitude are symmetrically arranged; as, the axis of a cylinder, i. e., the axis of a cone, that is, the straight line joining the vertex and the center of the base; the axis of a circle, any straight line passing through the center.

  • Dinetical
  • a.

    Revolving on an axis.

  • Aliunde
  • adv. & a.

    From another source; from elsewhere; as, a case proved aliunde; evidence aliunde.

  • Axis
  • n.

    The second vertebra of the neck, or vertebra dentata.

  • Align
  • v. t.

    To adjust or form to a line; to range or form in line; to bring into line; to aline.