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Rigid Body Dynamics: Encyclopedia Ii - Rigid Body Dynamics - Rigid Body Linear Momentum
The equation for particle linear momentum is
where:
m is the particle's mass.
v is the particle's velocity.
fi is one of the N forces...
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Euclidean Group: Encyclopedia Ii - Euclidean Group - Rigid Body Motions
Another use of a Euclidean group is for the kinematics of a rigid body, in classical mechanics. A rigid body motion is in effect the same...
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Virtual Work: Encyclopedia Ii - Virtual Work - Virtual Work Principle For A Rigid Body
Applying (c) to individual particles of a rigid body, the principle can be generalized for a rigid body: When a rigid body, that is in eq...
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Physical Body: Encyclopedia - Physical Body
In physics, a physical body is an object which can be described by the theories of classical mechanics, or quantum mechanics, and experim...
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Sadhaka: Important Qualifications Of A Sadhaka
When the whole vitality is sapped from the body one cannot do any rigid Sadhana. Youth is the best period for Yoga Abhyasa. This is the f...
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Article
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What Is Death?: Signs Of Death
It is very difficult to find out the real signs of death. Stoppage of the heart-beat, stoppage of the pulse or breathing are not the actu...
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Article
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Hinduism: Why I'm A Hindu, And Other Thoughts
I am a Hindu because I was born in a Hindu home. The Hindu way of life appeals to me because it gives me freedom to think and act. It ...
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Torque: Encyclopedia - Torque
In physics, torque can be thought of informally as "rotational force". Torque is measured in units of newton metres, and its symbol is τ...
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Angular Velocity: Encyclopedia - Angular Velocity
The angular velocity of a point particle or rigid body describes the rate at which its orientation changes. It is analogous to translatio...
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Bone Corsetry: Encyclopedia - Bone Corsetry
In corsetry, a bone is one of the rigid parts of a corset that forms its frame, gives it rigidity, and helps to shape the wearer's body.
...
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Body-on-frame: Encyclopedia - Body-on-frame
Body-on-frame is an automobile construction technology. Mounting a separate body to a rigid frame which supports the drivetrain was the o...
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Cuirass: Encyclopedia - Cuirass
Cuirass (French cuirasse, Latin coriaceus, made of leather, from corium, the original breastplate being of leather), the plate armour, wh...
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Coleoidea: Encyclopedia - Coleoidea
Sepiida
Sepiolida
Spirulida
Teuthida
Octopoda
Vampyromorphida
Subclass Coleoidea is the grouping of cephalopods containing all the prima...
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Acrylonitrile Butadiene Styrene: Encyclopedia - Acrylonitrile Butadiene Styrene
Acrylonitrile butadiene styrene, or ABS, (chemical formula ) is a common thermoplastic used to make light, rigid, molded products such as...
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Pendulum: Encyclopedia - Pendulum
A simple gravity pendulum (plural pendulums or pendula), also called a bob pendulum, is a weight on the end of a rigid rod (or a string/r...
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Collision Detection: Encyclopedia - Collision Detection
In physical simulations, video games and computational geometry, collision detection includes algorithms from checking for collision, i.e...
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Protein-protein Docking: Encyclopedia Ii - Protein-protein Docking - Rigid-body Docking Vs. Flexible Docking
If the bond angles, bond lengths and torsion angles of the components are not modified at any stage of complex generation, it is known as...
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Protein-protein Docking: Encyclopedia Ii - Protein-protein Docking - Generating Putative Complex Structures
The structures for the components of the complex must be available individually; if not, and their sequence is known, they may be homolog...
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Protein-protein Docking: Encyclopedia Ii - Protein-protein Docking - Ranking A Generated Set Of Structures
Heuristic scores are used in protein-protein docking to compare the suitability of a set of putative complexes. Examples are based on res...
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Euclidean Group: Encyclopedia Ii - Euclidean Group - Subgroup Structure Matrix And Vector Representation
The Euclidean group is a subgroup of the group of affine transformations.
It has as subgroups the translational group T, and the orthogon...
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Euclidean Group: Encyclopedia Ii - Euclidean Group - Subgroups
Types of subgroups of E(n):
Finite groups. They always have a fixed point. In 3D, for every point there are for every orientation two wh...
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Euclidean Group: Encyclopedia Ii - Euclidean Group - Overview Of Isometries In Up To Three Dimensions
E(1), E(2), and E(3) can be categorized as follows, with degrees of freedom:
E(1) - 1:
E+(1):
identity - 0
translation - 1
those not ...
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Euclidean Group: Encyclopedia Ii - Euclidean Group - Relation To The Affine Group
The Euclidean group E(n) is a subgroup of the affine group for n dimensions, and in such a way as to respect the semidirect product struc...
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Euclidean Group: Encyclopedia Ii - Euclidean Group - Conjugacy Classes
The translations by a given distance in any direction form a conjugacy class; the translation group is the union of those for all distanc...
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Rotation Group: Encyclopedia Ii - Rotation Group - Topology
Consider the solid ball in R3 of radius π (that is, all points of R3 of distance π or less from the origin). Given the above, for every...
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Rotation Around A Fixed Axis: Encyclopedia Ii - Rotation Around A Fixed Axis - Centripetal Force
In the case of a spinning object, internal tensile stress provides the centripetal force that keeps the object together.
A rigid body mod...
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Virtual Work: Encyclopedia Ii - Virtual Work - Virtual Work Principle For A Deformable Body
Consider now the free body diagram of a deformable body, which is composed of an infinite number of differential cubes as shown in the fi...
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Rotation Group: Encyclopedia Ii - Rotation Group - Properties
Besides just preserving length, rotations also preserve the angles between vectors. This follows from the fact that the standard inner pr...
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Virtual Work: Encyclopedia Ii - Virtual Work - Virtual Work Principle For A Particle
The motivation for introducing virtual work can be appreciated by the following simple example from statics of particles. Suppose a parti...
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Virtual Work: Encyclopedia Ii - Virtual Work - Alternative Forms
A specialization of the principle of virtual forces is the unit dummy force method, which is very useful for computing displacements in s...
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Rotation Group: Encyclopedia Ii - Rotation Group - Orthogonal Matrices
Like any linear transformation, a rotation can always be represented by a matrix. Let R be a given rotation. With respect to the standard...
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Rotation Group: Encyclopedia Ii - Rotation Group - Axis Of Rotation
Every rotation in 3 dimensions fixes a unique 1-dimensional linear subspace of R3 which is called the axis of rotation (this is Euler's r...
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Rotation Group: Encyclopedia Ii - Rotation Group - Representations Of Rotations
We have seen that there are a variety of ways to represent rotations:
as orthogonal matrices with determinant 1,
by axis and rotation an...
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Trajectory: Encyclopedia Ii - Trajectory - Examples
Trajectory - Uniform gravity no drag or wind.
The case of uniform gravity, disregarding drag and wind, yields a trajectory which is a p...
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Rotation Group: Encyclopedia Ii - Rotation Group - Generalizations
The rotation group generalizes quite naturally to n-dimensional Euclidean space, Rn. The group of all proper and improper rotations in n ...
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Trajectory: Encyclopedia Ii - Trajectory - Physics Of Trajectories
One of the remarkable achievements of Newtonian mechanics was the derivation of the laws of Kepler, in the case of the gravitational fiel...
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Trajectory: Encyclopedia Ii - Trajectory - Examples
Trajectory - Uniform gravity no drag or wind.
The case of uniform gravity, disregarding drag and wind, yields a trajectory which is a p...
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Rotation Around A Fixed Axis: Encyclopedia Ii - Rotation Around A Fixed Axis - Speed Of Rotation Angular Acceleration And Torque
The speed of rotation is given by the angular frequency (rad/s) or frequency / rotational speed / revolutions per minute (turns/s, turns/...
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Torque: Encyclopedia Ii - Torque - Units
Torque has dimensions of force times distance and the SI units of torque are stated as "newton-metres". Even though the order of "newton"...
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Torque: Encyclopedia Ii - Torque - Special Cases And Other Facts
Torque - Moment arm formula.
A very useful special case, often given as the definition of torque in fields other than physics, is as fo...
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Torque: Encyclopedia Ii - Torque - Machine Torque
Torque is part of the basic specification of an engine: the power output of an engine is expressed as its torque multiplied by its rotati...
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Torque: Encyclopedia Ii - Torque - Relationship Between Torque And Power
If a force is allowed to act through a distance, it is doing mechanical work. Similarly, if torque is allowed to act through a rotational...
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Optimization Mathematics: Encyclopedia Ii - Optimization Mathematics - Uses
Problems in rigid body dynamics (in particular articulated rigid body dynamics) often require mathematical programming techniques, since ...
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Rotating Reference Frame: Encyclopedia Ii - Rotating Reference Frame - Position Transformation Formulae
If we have two frames of reference, one rotating and the other not; the place where an event occurs in one frame are obtained by applying...
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Rotating Reference Frame: Encyclopedia Ii - Rotating Reference Frame - Relation Between Velocities In The Two Frames
If (x,y,z) are the co-ordinates of a body, and are hence functions of time, the time-derivatives of positions (X,Y) in the rotating frame...
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Rotating Reference Frame: Encyclopedia Ii - Rotating Reference Frame - Relation Between Accelerations In The Two Frames
Applying differentiation to the equations for velocities,
d2X/dt2 = (d2x/dt2).Cos(w.t) +(d2y/dt2).Sin(w.t) -(dx/dt).Sin(w.t) +(dy/d...
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Rotation Around A Fixed Axis: Encyclopedia Ii - Rotation Around A Fixed Axis - Vectors
According to the right-hand rule, moving away from the observer is associated with clockwise rotation and moving towards the observer wit...
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Rotation Around A Fixed Axis: Encyclopedia Ii - Rotation Around A Fixed Axis - Constant Angular Speed
The simplest case of rotation around a fixed axis is that of constant angular speed. The total torque is zero: in e.g. the case of the ro...
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Rotating Reference Frame: Encyclopedia Ii - Rotating Reference Frame - Explanation Of Effects
To describe the physics in the rotating frame , an observer thus sees force = mass.acceleration modified by, in effect, the addition of t...
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Euler Angles: Encyclopedia Ii - Euler Angles - Applications
Euler angles are used extensively in the classical mechanics of rigid bodies, and in the quantum mechanics of angular momentum.
When stud...
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Velcro: Encyclopedia Ii - Velcro - Use
The strength of the hook and loop bond depends on how well the hooks are embedded in the loops and the nature of the force pulling it apa...
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Tide: Encyclopedia Ii - Tide - Tides & Fluids
Tides and tidal effects happen in general whenever a mass with some volume moves in a gravitational field that is not uniform. This is, t...
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Angular Velocity: Encyclopedia Ii - Angular Velocity - Vector Angular Velocity.
Angular velocity is the vector physical quantity that represents the process of rotation (change of orientation) that occurs at an instan...
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Rotation: Encyclopedia Ii - Rotation - Mathematics
Mathematically, a rotation is a rigid body movement which keeps a point fixed; unlike a translation. This definition is applicable both f...
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Cinema 4d: Encyclopedia Ii - Cinema 4d - Modules
As well as the core application (for modeling, texturing, lighting and rendering), CINEMA 4D also has several add-on programs available t...
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Longitude: Encyclopedia Ii - Longitude - Longitude On Bodies Other Than Earth
Planetary co-ordinate systems are defined relative to their mean axis of rotation and various definitions of longitude depending on the b...
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Tightlacing: Encyclopedia Ii - Tightlacing - History Of Tightlacing
Corsets were first worn during the 16th century, and remained a feature of fashionable dress until the French Revolution (1789). These co...
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Antipsychotic: Encyclopedia Ii - Antipsychotic - Side Effects
The range of interactions can produce different adverse effects including extrapyramidal reactions, including acute dystonias, akathisia,...
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Moment Physics: Encyclopedia Ii - Moment Physics - Parallel Axis Theorem
Since the moment is dependent on the given axis, the moment expression possess a common property when the observation axis is changed. If...
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Encephalitis Lethargica: Encyclopedia Ii - Encephalitis Lethargica - Symptoms
It is characterized by high fever, headache, double vision, delayed physical and mental response, and lethargy. In acute cases, patients ...
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Hyperthermia: Encyclopedia Ii - Hyperthermia - Progression
Body temperatures above 40 °C (104 °F) are life-threatening. At 41 °C (106 °F), brain death begins, and at 45 °C (113 °F) death is ...
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Louis Poinsot: Encyclopedia Ii - Louis Poinsot - Work
Works include:
Eléments de statique (1803)
memoirs that dealt with the composition of moments and the composition of areas (1806)
the g...
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Rotational Motion: Encyclopedia Ii - Rotational Motion - Introduction
Rotational motion is similar to circular motion, except the object involved is a rigid body in which all points rotate around the center ...
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Craps: Encyclopedia Ii - Craps - Dice Control
In fact, there is a small but dedicated community of controlled shooters that maintain records and claim proof of dice influencing in cas...
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O-ring: Encyclopedia Ii - O-ring - Theory And Design
Successful o-ring joint design requires a rigid mechanical mounting that applies a predictable deformation to the o-ring. This introduces...
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French Revolution: Encyclopedia Ii - French Revolution - Causes
A number of factors led to the revolution; to some extent the old order succumbed to its own rigidity in the face of a changing world; to...
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Dog Anatomy: Encyclopedia Ii - Dog Anatomy - Physical Characteristics
Like most predatory mammals, the dog has powerful muscles, a cardiovascular system that supports both sprinting and endurance, and teeth ...
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Moment Of Inertia: Encyclopedia Ii - Moment Of Inertia - Inertia Tensor
The moment of inertia can be used to describe the amount of angular momentum a rigid body possesses, via the relation:
For the case wh...
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Freeform Surface Modelling: Encyclopedia Ii - Freeform Surface Modelling - Surfaces
Freeform surface, or Freeform surfacing, is used in CAD and other computer graphics software to describe the skin of a 3D geometric elem...
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Bernese Mountain Dog: Encyclopedia Ii - Bernese Mountain Dog - Appearance
A tri-colored dog of medium size, the “Berner” (as his friends often call him) stands 23 to 27.5 inches (58-70 cm) at the withers; br...
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Ajay Ahuja: Encyclopedia Ii - Ajay Ahuja - Return And Cremation
While both India and Pakistan remained rigid in their own beliefs, Ahuja had turned into a great hero and martyr in the eyes of the India...
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Collision Detection: Encyclopedia Ii - Collision Detection - Overview
In physical simulation, we wish to conduct experiments, such as playing billiards. The physics of bouncing billiard balls are well unders...
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Max Payne 2: The Fall Of Max Payne: Encyclopedia Ii - Max Payne 2: The Fall Of Max Payne - Gameplay
Max Payne 2 is one of the first games to utilize the Havok physics engine 2.0, enabling sophisticated collision handling for ragdolls and...
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Ford Mustang: Encyclopedia Ii - Ford Mustang - Engineering
For all its style and well-marketed sportiness, the Mustang was based heavily on familiar components. Much of the chassis, suspension, an...
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Ford Mustang: Encyclopedia Ii - Ford Mustang - Engineering
For all its style and well-marketed sportiness, the Mustang was based heavily on familiar components. Much of the chassis, suspension, an...
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Dictionary
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Pliant:
Hindu -
Hinduism Dictionary On Pliant
pliant: Flexible, adaptable, not rigid.
(See
also: Pliant ,
Hinduism,
Body Mind and Soul)
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Puritan:
Hindu -
Hinduism Dictionary On Puritan
puritan: A person who is overly strict or rigid regarding morals and religion.
(See
also: Puritan ,
Hinduism,
Body Mind and Soul)
...
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Parkinsonism:
Ayurveda Ayurvedic Dictionary Ii On Parkinsonism
Parkinsonism: A neurologic disorder characterized by tremors, muscle rigidity and slow movements
(See
also: Parkinsonism , Ay...
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Dictionary
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Rolfing: Health
And Healing Dictionary On
Rolfing
ROLFING uses deep manipulation of the fascia to restore the body’s natural alignment, which may have become rigid through injury...
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Dictionary
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Fluidic Double:
Spiritual - Theosophy
Dictionary On
Fluidic Double
Fluidic Double Often used by Europeans for the linga-sarira, the astral or model body, whose form is duplicated with extreme exactness...
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Prasanga Madhyamika:
Spiritual Theosophical
Dictionary On
Prasanga Madhyamika
Prasanga Madhyamika (Sanskrit). A Buddhist school of philosophy in Tibet. it follows, like the Yogacharya system, the Mahayana or &quo...
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Expressive Arts: Natural
Health Dictionary On
Expressive Arts
Expressive arts: The use of visual art, crafts, song, dance, movement and other forms of expression to foster personal insights and to...
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Dictionary
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Rolfing:
Holistic Treatment
Dictionary On
Rolfing
Rolfing: Bodywork that improves balance and flexibility through manipulation of rigid muscles, bones, and joints. Intended to relieve ...
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Dictionary
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Apad Dharma:
Hindu -
Hinduism Dictionary On Apad Dharma
apad dharma: "Emergency conduct." This dharma embodies the principle that the only rigid rule is wisdom, and thus ex...
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Libra:
New Age
Spiritual Dictionary On Libra
Libra The balance or scales; seventh zodical sign (approx. September 20 to October 20); of the airy element; ruler Venuskeywords; jus...
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Naprapathy: Massage
Bodywork
Dictionary On
Naprapathy
NAPRAPATHY With influences from osteopathy and chiropractic, this system of treatment uses soft-tissue manipulation to release tension...
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Trilcohana:
Spiritual Theosophical
Dictionary On
Trilcohana
Trilcohana (Sanskrit). Lit., "three-eyed ", an epithet of Shiva. It is narrated that while the god was engaged one day on a ...
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Reichian Therapies:
Alternative
Health Dictionary On Reichian Therapies
Reichian Therapies (Reichian-based therapies, Reichian-oriented therapies): Variety of regression methods whose theories share Wilhelm...
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Meaning:
Mysticism
Magick Dictionary
On
Meaning
MEANING It is through meaning, rather than belief, that we are able to transform reality at any level, because meaning changes from mo...
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Logic:
Spiritual - Theosophy
Dictionary On
Logic
Logic An attempt to formulate the processes of the ratiocinative mind, connecting idea with idea in a causal sequence, leading from pr...
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Hydrostatic Skeleton:
Oceanography Dictionary - Hydrostatic Skeleton
Definition and meaning of hydrostatic skeleton:
hydrostatic skeleton - a type of skeleton found in many soft-bodied i...
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Catalepsy, Cataleptic State:
Spiritual - Theosophy
Dictionary On
Catalepsy, Cataleptic State
Catalepsy katalepsis (Greek) (from kata down + lambanein to seize) A psychomotor condition of morbid sleep, associated with a p...
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Fifth Rounders:
Spiritual - Theosophy
Dictionary On
Fifth Rounders
Fifth Rounders Human monads who, though incarnate among us in this present fourth round, are psychically, mentally, and spiritually at...
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Lipika (lipikas):
Theosophy
Occultism Mysticism Dictionary On Lipika (lipikas)
A
Theosophical definition of Lipika (Lipikas) :
Lipika (Lipikas) (Sanskrit) This word comes from the verb-root lip, meaning &...
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Alcyonarian:
Oceanography Dictionary - Alcyonarian
Definition and meaning of alcyonarian:
alcyonarian - a soft coral of the order Alcyonacea, class Anthozoa, phylum Cni...
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Vibrational Healing Massage Therapy: Massage
Bodywork
Dictionary On
Vibrational Healing Massage Therapy
VIBRATIONAL HEALING MASSAGE THERAPY Vibrational Healing Massage Therapy (VHMT) is a bodywork therapy designed to restore one to fluidi...
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Dugpas:
Spiritual Theosophical
Dictionary On
Dugpas
Dugpas (Tibet, Tibetan). Lit., "Red Caps," a sect in Tibet. Before the advent of Tsong-ka-pa in the fourteenth centu...
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Crystal Skull:
Mysticism
Magick Dictionary
On
Crystal Skull
CRYSTAL SKULL A replica of an ancient human skull hewn out of a single rock crystal and found by Anna Mitchell-Hedges in 1927 in the M...
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A E I O V:
Theosophy Dictionary On A E I O V
A E I O V These five vowels (V is the classic U) were often inscribed on Roman temples, after the manner of the Greeks, who recorded t...
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Catatonia:
Spiritual - Theosophy
Dictionary On
Catatonia
Catatonia (from Greek kata down + tonos tension) Referred to as tension-insanity, this condition is marked with successive stag...
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