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Engineering method deriving slope and displacement of a beam
The conjugate-beam methods is an engineering method to derive the slope and displacement of a beam. A conjugate beam is defined as an imaginary beam with
Conjugate_beam_method
Method for load calculation in construction
"Macaulay's method", "moment area method", "conjugate beam method", "the principle of virtual work", "Castigliano's method", "flexibility method", "slope
Euler–Bernoulli_beam_theory
Structural design tool
is that the deflection of a beam can be easily determined using either the moment area method or the conjugate beam method. For common loading cases such
Shear_and_moment_diagram
are wide, and therefore behave similarly to a beam cantilevered up from the ground. Conjugate beam method S. Ramamrutham (1993). Theory of Structures.
Cantilever_method
Interplay between observation, experiment, and theory in science
The scientific method is an empirical method for acquiring knowledge through careful observation, rigorous skepticism, hypothesis testing, and experimental
Scientific_method
algorithm (machine learning) Winnow algorithm Backpropagation Conjugate gradient method Generalized Hebbian algorithm Gradient descent Levenberg–Marquardt
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Overview article
clarity. The intensity of the combined beams is the average value of the complex amplitude times its complex conjugate: I T = ⟨ U T U T ∗ ⟩ = A R 2 + A O
Physics_of_optical_holography
Width of an electromagnetic beam
_{0})^{*}} is the conjugate transpose of A {\displaystyle \mathrm {A} } at the reference angle θ 0 {\displaystyle \theta _{0}} . From the beam pattern B ( θ
Beam_diameter
Branch of physics
propagation direction and phase variation of a beam of light. The reversed beam is called a conjugate beam, and thus the technique is known as optical phase
Nonlinear_optics
Optical device which splits a beam of light in two
A beam splitter or beamsplitter is an optical device that splits a beam of light into a transmitted and a reflected beam. It is a crucial part of many
Beam_splitter
Optimization algorithm
In numerical analysis, a quasi-Newton method is an iterative numerical method used either to find zeroes or to find local maxima and minima of functions
Quasi-Newton_method
Directed-energy weapon using lasers
"spread beam") to be aimed, though range will suffer if the target is at extreme angles to the surface of the phased array. Using a phase-conjugate laser
Laser_weapon
Form of radar used to create images of landscapes
information of target reflectivity. Doppler Beam Sharpening commonly refers to the method of processing unfocused real-beam phase history to achieve better resolution
Synthetic-aperture_radar
Numerical method for solving physical or engineering problems
is symmetric and positive definite, so a technique such as the conjugate gradient method is favored. For problems that are not too large, sparse LU decompositions
Finite_element_method
Signal processing system
Square Algorithm Conjugate gradient method Constant Modulus Algorithm Beamforming is spatial signal processing which makes spatial beam focused on the target
Adaptive_beamformer
Method of specimen illumination used in optical microscopy
of the light source is perfectly defocused in the sample plane and its conjugate image planes. In a ray diagram of the illumination light path, this can
Köhler_illumination
Plane curve
the points lie on two conjugate diameters (see below). (If a = b {\displaystyle a=b} , the ellipse is a circle and "conjugate" means "orthogonal".) If
Ellipse
Recording to reproduce a three-dimensional light field
distortions a light beam receives when passing through an aberrating medium, by sending it back through the same aberrating medium with a conjugated phase. This
Holography
French-born American optical engineer
system and method Head-mounted display by integration of phase-conjugate material Head-mounted display by integration of phase-conjugate material Head
Jannick_Rolland
Method of laser power scaling
co-workers in 1965. For Nd:YAG laser set beam combination had been realized by means of SBS phase conjugating mirror. The coherent addition was demonstrated
Coherent_addition
Medical imaging technique of the heart
bifurcation exist. There are two major methods of 2D velocity estimation using ultrasound: Speckle tracking and crossed beam Vector Doppler, which are based
Doppler_echocardiography
Scientific instruments
tweezers (originally called single-beam gradient force trap) are scientific instruments that use a highly focused laser beam to hold and move microscopic and
Optical_tweezers
Transforms equations for numerical solution
preconditioned iterative methods for linear systems include the preconditioned conjugate gradient method, the biconjugate gradient method, and generalized minimal
Preconditioner
Kind of microscopy
three-dimensional isotropic imaging of living cells using Bessel beam plane illumination". Nature Methods. 8 (5): 417–423. doi:10.1038/nmeth.1586. PMC 3626440. PMID 21378978
Lattice light-sheet microscopy
Lattice_light-sheet_microscopy
Iterative method for solving the Sylvester matrix equations
example use of the conjugate gradient method preconditioned with incomplete Cholesky factorization). The idea behind the ADI method is to split the finite
Alternating-direction implicit method
Alternating-direction_implicit_method
Physical transformation of a wave field
with the incident wave will produce the conjugate wave. Both techniques allow an amplification of the conjugate wave compared to the incident wave. As
Phase_conjugation
Common configuration for optical interferometry
A K (1997). "Brillouin-enhanced four-wave-mixing vector phase-conjugate mirror with beam-combining capability". Optics Letters. 22 (6): 360–362. Bibcode:1997OptL
Michelson_interferometer
American engineer & educator (1931–2011)
1980). R. Trebino and A. E. Siegman, "Phase conjugate reflection at arbitrary angles using TEM00 pump beams," Optics Commun. 32, 1--4 (January 1980). A
Anthony_E._Siegman
Procedure for detection and localization of an antigen
methods involved in immunolabeling, the direct and the indirect methods. In the direct method of immunolabeling, the primary antibody is conjugated directly
Immunolabeling
Optical imaging technique
diaphragm in the conjugated focal plane (confocal) that is usually absent in multiphoton microscopes due to difficulties descanning the beam.[according to
Confocal_microscopy
Aberration of vision due to asymmetry in the eye's lens or cornea
relative to the horizontal meridian). Vertical beams of light focus in front (anterior) to horizontal beams of light, in the eye. This problem may be corrected
Astigmatism
Optimization algorithm
finding good paths through graphs. Artificial ants represent multi-agent methods inspired by the behavior of real ants. The pheromone-based communication
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Optical phenomenon
be generated directly in a laser, or a laser beam can be twisted into a vortex using any of several methods, such as computer-generated holograms, spiral-phase
Optical_vortex
Hungarian method: a combinatorial optimization algorithm which solves the assignment problem in polynomial time Conjugate gradient methods (see more https://doi
List_of_algorithms
Branch of physics
vector during conjugate gradient iterations. The method of moments (MoM) or boundary element method (BEM) is a numerical computational method of solving
Computational electromagnetics
Computational_electromagnetics
Range of spectroscopic analysis
of diverse analytes or sample, such as transition metal ions, highly conjugated organic compounds, and biological macromolecules. Spectroscopic analysis
Ultraviolet–visible spectroscopy
Ultraviolet–visible_spectroscopy
Signal processing technique
are then solved with the conjugate gradient least squares method and the simple gradient descent method respectively. The method is stopped when the desired
Compressed_sensing
Technique used in optical systems
placing a two-dimensional array of small lenses (lenslets) in a pupil plane conjugate to the eye's pupil, and a CCD chip at the back focal plane of the lenslets
Adaptive_optics
Canadian plasma physicist
Nebenzahl, I.; Ron, Amiram; Rostoker, Norman (1988). "Reflected phase-conjugate wave in a plasma". Physical Review Letters. 60 (11): 1030–1032. Bibcode:1988PhRvL
Norman_Rostoker
Device to reflect radiation back to its source
systems such as high-power lasers and optical transmission lines. Phase-conjugate mirrors reflect an incoming wave so that the reflected wave exactly follows
Retroreflector
Method for approximating eigenvalues
many tricks with this method, the most important is to try and choose realistic assumed mode shapes. For example, in the case of beam deflection problems
Rayleigh–Ritz_method
Polynomial function of degree 4
If ∆ < 0 then the equation has two distinct real roots and two complex conjugate non-real roots. If ∆ > 0 then either the equation's four roots are all
Quartic_function
Drug test methodologies for the use of cannabis
be present in the urine specimen compete against their respective drug conjugate for binding sites on their specific antibody. During testing, a urine
Cannabis_drug_testing
Gamma ray Imaging method
O. (June 1985). "Constrained Iterative Reconstruction by the Conjugate Gradient Method". IEEE Transactions on Medical Imaging. 4 (2): 65–71. doi:10.1109/TMI
Gamma_ray_tomography
Mass spectrometric technique used to analyze the composition of solid surfaces
Seung Koo; Lee, Tae Geol (2015). "Probing nanoparticles and nanoparticle-conjugated biomolecules using time-of-flight secondary ion mass spectrometry". Mass
Static secondary-ion mass spectrometry
Static_secondary-ion_mass_spectrometry
Semiconductor light source
; Burns, P. L.; Holmes, A. B. (1990). "Light-emitting diodes based on conjugated polymers". Nature. 347 (6293): 539–541. Bibcode:1990Natur.347..539B. doi:10
Light-emitting_diode
Therapy using ionizing radiation, usually to treat cancer
and resulting side effects, compared both to external beam radiation therapy and older methods of breast brachytherapy. Radionuclide therapy (also known
Radiation_therapy
Type of laser
frequency bandwidth of a pulse and its time duration, due to their being conjugate variables. However, with an appropriate design, titanium-sapphire can
Titanium-sapphire_laser
Soviet physicist (1922–2001)
A K (1997). "Brillouin-enhanced four-wave-mixing vector phase-conjugate mirror with beam-combining capability". Optics Letters. 22 (6): 360–362. Bibcode:1997OptL
Nikolay_Basov
Resolution was an early beam engine, installed between 1781 and 1782 at Coalbrookdale as a water-returning engine to power the blast furnaces and ironworks
Resolution_(beam_engine)
Electrical transmission without physical connection
Advantages compared to other wireless methods are: Distance: Collimated monochromatic wavefront propagation allows narrow beam cross-section area for transmission
Wireless_power_transfer
Algorithmic determination of wave cycle parts
is a degeneracy of solutions as f ( x ) {\displaystyle f(x)} and its conjugate f ∗ ( − x ) {\displaystyle f^{*}(-x)} have the same Fourier modulus. This
Phase_retrieval
Ray tracing technique
only paraxial rays. Each optical element (surface, interface, mirror, or beam travel) is described by a 2 × 2 ray transfer matrix which operates on a vector
Ray_transfer_matrix_analysis
Diode that emits light from an organic compound
conductivity and the difficulty of injecting electrons. Later development of conjugated polymers would allow others to largely eliminate these problems. His contribution
OLED
Congruence (general relativity) Conical pendulum Conifold Conjugate depth Conjugate variables Conjugate variables (thermodynamics) Conoscopy Conservation law
Index_of_physics_articles_(C)
signal (2) Information Signal and (3) Conjugate of information signal. It is noteworthy to mention that the conjugate of a signal can be used for impairment
Time-domain_holography
diffraction, a diffraction pattern is produced by the interaction of the electron beam and the crystal potential. The real space and reciprocal space information
Direct methods (electron microscopy)
Direct_methods_(electron_microscopy)
Overview of and topical guide to algorithms
Newton's method Gradient descent Conjugate gradient method Simulated annealing Expectation–maximization algorithm Numerical integration Monte Carlo method Linear
Outline_of_algorithms
Scientific instrument for observing small objects
One way is to describe the method an instrument uses to interact with a sample and produce images, either by sending a beam of light or electrons through
Microscope
Nonlinear optical process
\Delta k\,z},\end{aligned}}} where ∗ {\displaystyle *} denotes the complex conjugate. For simplicity, assume phase matched generation ( Δ k = 0 {\displaystyle
Second-harmonic_generation
Crucial concept of quantum information
Other methods Conjugate gradient Gauss–Newton Gradient Mirror Levenberg–Marquardt Powell's dog leg method Truncated Newton Hessians Newton's method Constrained
Incompatibility of quantum measurements
Incompatibility_of_quantum_measurements
Nanomaterial
superparamagnetic properties of the nanoparticles and the systematic method for conjugating ligands to the FePt surface makes them viable vehicles for detection
Iron–platinum_nanoparticle
System for describing optical polarization
\mathrm {M=A(J\otimes J^{*})A^{-1}} } , where * indicates the complex conjugate [sic], [A is:] A = ( 1 0 0 1 1 0 0 − 1 0 1 1 0 0 i − i 0 ) {\displaystyle
Mueller_calculus
Method for describing the electronic structure of molecules using quantum mechanics
orbital (HMO) method for the determination of MO energies for pi electrons, which he applied to conjugated and aromatic hydrocarbons. This method provided
Molecular_orbital_theory
Physical quantity that expresses internal forces in a continuous material
architects did develop some geometrical methods and simple formulas to compute the proper sizes of pillars and beams, but the scientific understanding of
Stress_(mechanics)
Inability to focus on distant objects
lenses, or by refractive surgery. Eyeglasses are the simplest and safest method of correction. Contact lenses can provide a relatively wider corrected field
Myopia
Equations of light transmission and reflection
with the result that the whole expression is replaced by its complex conjugate, leaving the real part unchanged [Cf. (e.g.) Collin, 1966, p. 41, eq. (2
Fresnel_equations
Chemical element with atomic number 85 (At)
Hasegawa, S.; Zhang, M. (2014). "Production of 211At by a vertical beam irradiation method". Applied Radiation and Isotopes. 94: 363–371. Bibcode:2014AppRI
Astatine
Process of separating populations of cells
on the target cell population. Cells labelled to these antibody-bead conjugates are then separated via a column containing a ferromagnetic matrix. By
Cell_sorting
Spectroscopy with lasers with very short pulses
the system into a coherent superposition of states, followed by a phase conjugate second pulse that pushes the system into a non-oscillating excited state
Ultrafast_laser_spectroscopy
Mechanism for converting reciprocating motion to rotation
additional heat treatment to reach the desired properties. Another construction method is to cast the crankshaft from ductile iron. Cast iron crankshafts are today
Crankshaft
Albert Einstein's hypothetical situations to argue scientific points
thought experiments took diverse forms. In his youth, he mentally chased beams of light. For special relativity, he employed moving trains and flashes
Einstein's thought experiments
Einstein's_thought_experiments
Element of Japanese language
Japanese verbs have agglutinating properties: some of the conjugated forms are themselves conjugable verbs (or i-adjectives), which can result in several suffixes
Japanese conjugation (mizenkei base)
Japanese_conjugation_(mizenkei_base)
the complementary negative one…We shall thus have created two permanent conjugate electrons A and B; each of them can be moved about through the medium
History_of_spectroscopy
Range of methods designed for assigning cell types
Spatial transcriptomics, or spatially resolved transcriptomics, is a method that captures positional context of transcriptional activity within intact
Spatial_transcriptomics
Electronic method of transmitting information with a carrier wave
{\displaystyle s(t)} can also be recovered as the real part of the complex-conjugate, s a ∗ ( t ) , {\displaystyle s_{\mathrm {a} }^{*}(t),} which represents
Single-sideband_modulation
Elementary particle involved with rest mass
j}} are matrices of Yukawa couplings where h.c. denotes the hermitian conjugate of all the preceding terms. In the symmetry breaking ground state, only
Higgs_boson
Object that reflects an image
A K (1997). "Brillouin-enhanced four-wave-mixing vector phase-conjugate mirror with beam-combining capability". Optics Letters. 22 (6): 360–362. Bibcode:1997OptL
Mirror
Type of image noise
reflection, the topological charge of the vortex beam changes sign, as it would for any mirror. In phase conjugating mirrors based on stimulated Brillouin scattering
Speckle_(interference)
Medical intervention
the sound beam. A lower frequency transducer is required with subsequent lower resolution. The method needs patient cooperation. The method is operator-dependent
Medical_ultrasound
Secure communication method
of the University of Montreal, proposed a method for secure communication based on Wiesner's "conjugate observables". In 1990, Artur Ekert, then a PhD
Quantum_key_distribution
surface of quantum dots are conjugated with DNA, the colloidal stability and solubility are affected. Quantum dots conjugated with DNA are subject to electrostatic
DNA-functionalized quantum dots
DNA-functionalized_quantum_dots
Device measuring eye movement
collimated light beam is incident on the eye, the direction in which the eye moves is proportional to the position of the reflection of that light beam from the
Oculometer
Electronic method of transmitting information with a carrier wave
by taking the IQ (complex) sample and multiplying it with the complex conjugate of the previous IQ sample, x [ n ] ⋅ x [ n − 1 ] ¯ {\displaystyle x[n]\cdot
Frequency_modulation
Complete reflection of a wave
including sound and water waves. If the waves are capable of forming a narrow beam (Fig. 2), the reflection tends to be described in terms of "rays" rather
Total_internal_reflection
Use of spectroscopy to investigate and solve problems
microscope (ESEM). The method involves analysis of back-scattered X-rays from the sample as a result of interaction with the electron beam. Automated EDX is
Applied_spectroscopy
Computer graphics simulation of deformable objects
the conjugate gradient method), which itself may also be difficult to achieve at interactive frame rates. An alternative is to use an explicit method with
Soft-body_dynamics
American politician (born 1954)
autism. Thimerosal has never been used in MMR, chickenpox, pneumococcal conjugate, or inactivated polio vaccines. In 2001, thimerosal was removed from all
Robert_F._Kennedy_Jr.
Foundational principle in quantum physics
paired-variables are known as complementary variables or canonically conjugate variables. First introduced in 1927 by German physicist Werner Heisenberg
Uncertainty_principle
Heat transfer due to the movement of fluid
another due to the movement of fluid. Although often discussed as a distinct method of heat transfer, convective heat transfer involves the combined processes
Convection_(heat_transfer)
are transferred on two different antennas during the same symbol. The conjugate and/or inverse of the same two constellations are transferred again on
WiMAX_MIMO
Thermodynamic cycle
single-acting and some were double-acting. Some had under walking beams; others had overhead walking beams. Both horizontal and vertical models were built. Sizes
Brayton_cycle
Physics of heat, work, and temperature
processes into pairs, in which each variable held constant is one member of a conjugate pair. Several commonly studied thermodynamic processes are: Adiabatic
Thermodynamics
Clouding of the lens inside the eye, causing poor vision
view parts of the eye in a magnified, three-dimensional view. Using a thin beam of light, the cornea, iris, lens, and anterior chamber can be examined. This
Cataract
Electronic control system
^{n}} represents an initial state of the filter. The star symbol is a conjugate transpose. Hence the following system describes PLL { x ˙ = A x + b f
Phase-locked_loop
Electronic devices created by various printing methods
and circuit design and optimization as well as fabrication method. The discovery of conjugated polymers and their development into soluble materials provided
Printed_electronics
Numbers obtained by adding the two previous ones
(phi) is the golden ratio and ψ {\displaystyle \psi } (psi) is its conjugate, φ = 1 2 ( 1 + 5 ) = − 1.61803 … , ψ = 1 2 ( 1 − 5 ) = − 0.61803 …
Fibonacci_sequence
Chemical compound
surrounding tissue does. It is also possible to target specific cells by conjugating the ICG to antibodies such as daclizumab (Dac), trastuzumab (Tra), or
Indocyanine_green
Type of gender-affirming medical treatment
estradiol valerate and estradiol cypionate, which are prodrugs of estradiol. Conjugated estrogens (Premarin), which are used in menopausal hormone therapy, and
Feminizing_hormone_therapy
Elementary particle or quantum of light
experimenter has a choice of measuring either one of two "canonically conjugate" quantities, like the position and the momentum of a particle. According
Photon
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