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The variational multiscale method (VMS) is a technique used for deriving models and numerical methods for multiscale phenomena. The VMS framework has been
Variational_multiscale_method
of small parameters. VAM is the synergy of variational principles and asymptotic approaches. Variational principles are applied to the defined functional
Variational_asymptotic_method
Numerical method for solving physical or engineering problems
procedures. Examples of the variational formulation are the Galerkin method, the discontinuous Galerkin method, mixed methods, etc. A discretization strategy
Finite_element_method
form Smoothed finite element method Variational multiscale method List of finite element software packages Spectral method — based on the Fourier transformation
List of numerical analysis topics
List_of_numerical_analysis_topics
Probabilistic problem-solving algorithm
Carlo method". Monte Carlo Methods and Applications. 22 (1): 73–79. doi:10.1515/mcma-2016-0102. S2CID 30198383. Baeurle, Stephan A. (2009). "Multiscale modeling
Monte_Carlo_method
Method of solving differential equations
(2002). "Multiscale scientific computation: review". In Timothy J. Barth; Tony Chan; Robert Haimes (eds.). Multiscale and multiresolution methods: theory
Multigrid_method
Partitioning a digital image into segments
speeds) in an approach called the generalized fast marching method. The goal of variational methods is to find a segmentation which is optimal with respect
Image_segmentation
Measure of local oscillation behavior
- Variational, PDE, Wavelet, and Stochastic Methods, SIAM, ISBN 0-89871-589-X (with in-depth coverage and extensive applications of Total Variations in
Total_variation
Design method of discrete wavelet transforms
A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms
Multiresolution_analysis
Signal processing technique
forward-backward splitting". Multiscale Model Simul. 4 (4): 1168–200. doi:10.1137/050626090. S2CID 15064954. Hestenes, M; Stiefel, E (1952). "Methods of conjugate gradients
Compressed_sensing
Neural network that learns efficient data encoding in an unsupervised manner
autoencoder, to be detailed below. Variational autoencoders (VAEs) belong to the families of variational Bayesian methods. Despite the architectural similarities
Autoencoder
Variation in the time intervals between heartbeats
pointwise correlation dimension, approximate entropy, sample entropy, multiscale entropy analysis, sample asymmetry and memory length (based on inverse
Heart_rate_variability
Simulation of multiple aspects of physics
variation of the stress and temperature distributions would be considered a multiphysics simulation. Multiphysics simulation is related to multiscale
Multiphysics_simulation
Cell from a primary tumor carried by blood circulation
PMID 21863182. Chen P, Huang YY, Hoshino K, Zhang X (February 2014). "Multiscale immunomagnetic enrichment of circulating tumor cells: from tubes to microchips"
Circulating_tumor_cell
Measurement of small-scale features on surfaces
superimposed onto one another that deriving conclusions in a multiscale method is relevant. Multiscale analysis facilitates the understanding of relations between
Surface_metrology
D.; Singha, K.; Minsley, B. J.; Holbrook, W. S.; Slater, L. (2015). "Multiscale geophysical imaging of the critical zone: Geophysical Imaging of the Critical
Geophysical_imaging
3D reconstruction technique
Martin-Brualla, Ricardo; Srinivasan, Pratul P. (2021-04-07). "Mip-NeRF: {A} Multiscale Representation for Anti-Aliasing Neural Radiance Fields". arXiv:2103.13415
Neural_radiance_field
Molecular simulation method
Chemistry for "the development of multiscale models for complex chemical systems". An important advantage of QM/MM methods is their efficiency. The cost of
QM/MM
Subfield of materials science
components, so do its computational sub-disciplines. While many methods and variations have been and continue to be developed, seven main simulation techniques
Computational materials science
Computational_materials_science
Global meteorological forecasting mathematical model
numerical weather prediction system containing a global computer model and variational analysis run by the United States' National Weather Service (NWS). The
Global_Forecast_System
Mathematics award
contributions of Pierre de Fermat have been decisive: Statements of variational principles Foundations of probability and analytic geometry Number theory
Fermat_Prize
Prediction of digital video quality
called Multiscale SSIM (MS-SSIM) is conducted over multiple scales through a process of multiple stages of sub-sampling, reminiscent of multiscale processing
Structural similarity index measure
Structural_similarity_index_measure
Computational quantum mechanical modelling method to investigate electronic structure
ground-state observables. The variational problems of minimizing the energy functional E[n] can be solved by applying the Lagrangian method of undetermined multipliers
Density_functional_theory
French physicist
1991), then showed in 1995 that Ponte Castañeda's (1991) variational method is a secant method using the second moment by phase of local fields. In 1994
Pierre_Suquet
Optimization algorithm
Andina, D. (2009). "Edge detection using ant colony search algorithm and multiscale contrast enhancement". 2009 IEEE International Conference on Systems,
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Chemical reaction between a fuel and oxygen
equilibrium edge preimage curve method. A few variational approaches The Computational Singular perturbation (CSP) method and further developments. The
Combustion
Carlo, Kinetic More-Carlo (KMC), and other methods. Contemporary numerical tools include also hybrid multiscale approaches allowing concurrent or sequential
Nanomechanics
Biomedical and genomics research institute in New York, US
neurodegeneration. The institute was formed in 2011 as the Institute for Genomics and Multiscale Biology, as part of Mount Sinai's Department of Genetics and Genomic Sciences
Icahn_Genomics_Institute
Deep learning method
self-attention modules to the generator and discriminator. Variational autoencoder GAN (VAEGAN): Uses a variational autoencoder (VAE) for the generator. Transformer
Generative adversarial network
Generative_adversarial_network
Function used in signal processing
the design of finite impulse response filters, merging multiscale and multidimensional datasets, as well as beamforming and antenna design
Window_function
Method for finding largest (or smallest) eigenvalues
Computer Society. pp. 59–62. Knyazev, Andrew V. (2006). Multiscale Spectral Image Segmentation Multiscale preconditioning for computing eigenvalues of graph
LOBPCG
Algorithm for measuring similarity between temporal sequences
Meinard Müller, Henning Mattes, and Frank Kurth (2006). An Efficient Multiscale Approach to Audio Synchronization. Proceedings of the International Conference
Dynamic_time_warping
Function for integral Fourier-like transform
Jianhong (2005). Image processing and analysis: variational, PDE, wavelet, and stochastic methods. Philadelphia: Society for Industrial and Applied
Wavelet
Technology for RNA sequencing
Grotewold, Erich; Thompson, Addie; Lundquist, Peter K (2023-10-31). "Multiscale physiological responses to nitrogen supplementation of maize hybrids"
BRB-seq
Process of removing noise from a signal
Abrishami-Moghaddam, H.; Ghadimi, S. (July 2008). "Locally adaptive multiscale Bayesian method for image denoising based on bivariate normal inverse Gaussian
Noise_reduction
Academic association dedicated to the use of mathematics in industry
since 1991 SIAM Journal on Applied Dynamical Systems (SIADS), since 2002 Multiscale Modeling and Simulation (MMS), since 2003 SIAM Journal on Imaging Sciences
Society for Industrial and Applied Mathematics
Society_for_Industrial_and_Applied_Mathematics
Sequence of data points over time
transform based methods (for example locally stationary wavelets and wavelet decomposed neural networks) have gained favor. Multiscale (often referred
Time_series
Jianke; Zhang, Liang; Zhang, Hongwu (2022-03-01). "An adaptive multiscale finite element method for strain localization analysis with the Cosserat continuum
Metallurgical failure analysis
Metallurgical_failure_analysis
Low-Density Gases
discrete velocity method applied to the Boltzmann equation or to its model is more efficient than the DSMC method. More recent multiscale kinetic approaches
Rarefied_gas_dynamics
Mathematical technique used in data compression and analysis
can be extended to two dimension, while a more general term - shiftable multiscale transforms - is proposed. As mentioned earlier, impulse response can be
Wavelet_transform
Computer graphics method
and non-local means filters. Techniques based on wavelets and other multiscale filters have been tried, which can handle the varying frequency characteristics
Path_tracing
Software for statistical analysis of molecular evolution
Monte Carlo Approximations of Classically Scaled Population Processes". Multiscale Modeling & Simulation. 16 (3): 1206–1226. arXiv:1512.01588. doi:10.1137/17M1138169
Molecular Evolutionary Genetics Analysis
Molecular_Evolutionary_Genetics_Analysis
Type of image noise
reduction in medical ultrasound images using a new multiscale bivariate Bayesian MMSE-based method," IEEE 15th Signal Processing and Communication Applications
Speckle_(interference)
Very small scale structure of material
107. Tahmasebi, Pejman; Sahimi, Muhammad (2018-06-29). "A stochastic multiscale algorithm for modeling complex granular materials". Granular Matter. 20
Microstructure
Computer simulations to discover and understand chemical properties
implementations Monte Carlo method Molecular design software Molecular mechanics Multiscale Green's function Car–Parrinello method Comparison of software for
Molecular_dynamics
Branch of chemistry
Warshel received the 2013 Nobel Prize in Chemistry for "the development of multiscale models for complex chemical systems". Computational chemistry has a wide
Computational_chemistry
Synchrotron X-ray diffraction-based imaging technique
Dark-field X-ray microscopy (DFXM or DFXRM) is an imaging technique used for multiscale structural characterisation. It is capable of mapping deeply embedded
Dark-field_X-ray_microscopy
Object categorization problem
that the transforms from one can be applied to another. Variational Bayesian methods Variational message passing Expectation–maximization algorithm Bayesian
One-shot learning (computer vision)
One-shot_learning_(computer_vision)
contourlet used the Laplacian Pyramid for multiscale decomposition. This new method as proposed by Lu and Do uses a multiscale pyramid that can be adjusted by applying
Contourlet
German mathematician
Bethuel, Huisken, Steffen: Variational models for microstructure and phase transitions. In: Hildebrandt, Struwe: Calculus of Variations and geometric evolution
Stefan_Müller_(mathematician)
Swedish cell biologist
Co-Founder and Chief Scientific Advisor at GenBio AI, an AI company developing multiscale AI foundation models for biology. Lundberg was an undergraduate and postgraduate
Emma_Lundberg_(scientist)
Classes of computational models
are related to multiscale modeling. One mathematical technique for multiscale modeling of nanomaterials is based upon the use of multiscale Green's function
Microscale and macroscale models
Microscale_and_macroscale_models
Type of electron microscope
three-step, multiscale, multiresolution reconstruction method is presented that directly uses 2D images in order to develop 3D models. This method, based on
Scanning_electron_microscope
Active and non-equilibrium materials: DDM is increasingly used to quantify multiscale dynamics in active and out-of-equilibrium soft materials, including gels
Differential dynamic microscopy
Differential_dynamic_microscopy
Study of biochemical processes in an individual cell
H, Kong S, Wang T, Ho Y (September 2019). "Technological Advances in Multiscale Analysis of Single Cells in Biomedicine". Advanced Biosystems. 3 (11)
Single-cell_analysis
Topics referred to by the same term
sequences Multiple system atrophy, a degenerative neurological disorder Multiscale approximation or multiresolution analysis Morphosyntactic alignment (linguistics)
MSA
Concept in mathematics
Equation and the Model of Thomas and Windle". International Journal for Multiscale Computational Engineering. 7 (6): 523–543. doi:10.1615/IntJMultCompEng
Stefan_problem
Transform in numerical harmonic analysis
used for interlacing in the Portable Network Graphics (PNG) format, is a multiscale model of the data which is similar to a DWT with Haar wavelets. Unlike
Discrete_wavelet_transform
Type of functional magnetic resonance imaging
Wang X, Kantola J, Nikkinen J, et al. (November 2014). "Synchronous multiscale neuroimaging environment for critically sampled physiological analysis
Resting_state_fMRI
Multivariate statistical technique
F.; Oksanen, J. (2012). "Community ecology in the age of multivariate multiscale spatial analysis". Ecological Monographs. 82 (3): 257–275. Bibcode:2012EcoM
Spatial Analysis of Principal Components
Spatial_Analysis_of_Principal_Components
Spectroscopy of Biological Systems". In Tomar V, Qu T, Dubey DK, Verma D (eds.). Multiscale Characterization of Biological Systems: Spectroscopy and Modeling. Springer
Droplet-based_microfluidics
understanding of the structure and function of ribosomes. Development of multiscale models for complex chemical systems by Arieh Warshel and Michael Levitt
List of Israeli inventions and discoveries
List_of_Israeli_inventions_and_discoveries
Variance-stabilizing transformation Variance-to-mean ratio Variation ratio Variational Bayesian methods Variational message passing Variogram Varimax rotation Vasicek
List_of_statistics_articles
Particle with size less than 100 nm
nucleation and the rates associated with nucleation were modelled through multiscale computational modeling. This included exploration into an improved kinetic
Nanoparticle
Statistical model used in time series analysis
Fractional ARIMA, FARIMA) model time-series that exhibits long memory. Multiscale AR (MAR) is indexed by the nodes of a tree instead of integers. The notation
Autoregressive moving-average model
Autoregressive_moving-average_model
Chinese mathematician
Jian-Feng; Osher, Stanley; Shen, Zuowei, "Split Bregman methods and frame based image restoration". Multiscale Model. Simul. 8 (2009/10), no. 2, 337–369. Cai,
Zuowei_Shen
Infinitely detailed mathematical structure
Silva, C. M.; Philip, J.; Chauhan, K.; Meneveau, C.; Marusic, I. (2013). "Multiscale Geometry and Scaling of the Turbulent–Nonturbulent Interface in High Reynolds
Fractal
Signal processing algorithm
ISBN 978-1-4244-1483-3. S2CID 18226941. David Looney and Danilo P. Mandic, "Multiscale Image Fusion Using Complex Extensions of EMD", IEEE transactions on signal
Multidimensional empirical mode decomposition
Multidimensional_empirical_mode_decomposition
Soviet-American mathematician (born)
introducing a concept of polyharmonic homogenization which led to a new type of multiscale finite elements. Together with H. Owhadi, he introduced a "transfer-of-approximation"
Leonid_Berlyand
Framework to describe phase transitions
ISBN 978-0-521-84223-5. Baeurle SA, Usami T, Gusev AA (2006). "A new multiscale modeling approach for the prediction of mechanical properties of polymer-based
Statistical_field_theory
Barrancos, Jose; Padilla, German D.; Perez, Nemesio M. (2021). "A nonlinear multiscale inversion approach for ambient noise tomography". Geophysical Journal
Subsurface mapping by ambient noise tomography
Subsurface_mapping_by_ambient_noise_tomography
British chemist
domain of multiscale modelling and simulation. Working initially with Eirik Flekkøy on foundations of the dissipative particle dynamics method and then
Peter_Coveney
Branch of geophysics, primarily seismology
2835157. G.-P. Ostermeyer, V.L. Popov, E. Shilko, O. Vasiljeva (2021). Multiscale Biomechanics and Tribology of Inorganic and Organic Systems. In memory
Earthquake_prediction
Genetic characteristic of tumorous tissue
calculated. TMB can be calculated directly from histopathology images using a multiscale deep learning pipeline, avoiding the need for sequencing and variant calling
Tumor_mutational_burden
Hexagonal lattice made of carbon atoms
Bagci, Hakan (2020). "Numerical Methods for Electromagnetic Modeling of Graphene: A Review". IEEE Journal on Multiscale and Multiphysics Computational
Graphene
mfem/mfem: Lightweight, general, scalable C++ library for finite element methods". github.com. Retrieved December 17, 2025. "GitHub - idaholab/moose: Multiphysics
List of computational physics software
List_of_computational_physics_software
State of matter
method: principles and practice. Switzerland: Springer. ISBN 978-3-319-44649-3. OCLC 963198053. Steinhauser, M. O. (2022). Computational multiscale modeling
Liquid
Class of chemical substance
(2016-07-27). "The Impact of Mesopores on the Mechanical Stability of HKUST-1: A Multiscale Investigation". European Journal of Inorganic Chemistry. 2016 (27): 4517–4523
Metal–organic_framework
Type of diagnosis assisted by computers
Chowdhury M.; Kundu M.K. (2013). "Brain MR Image Classification Using Multiscale Geometric Analysis of Ripplet". Progress in Electromagnetics Research
Computer-aided_diagnosis
Sum of all the energy required to produce any goods or services
Bunster, Victor; Warren-Myers, Georgia; Moosavi, Sareh (2022). "Towards a multiscale framework for modeling and improving the life cycle environmental performance
Embodied_energy
Type of statistics
MR 2371990. Rosen, C.; Lennox, J.A. (October 2001), "Multivariate and multiscale monitoring of wastewater treatment operation", Water Research, 35 (14):
Robust_statistics
System with multiple fractal dimensions
h ) {\displaystyle D(h)} . Rather, data analysis gives access to the multiscaling exponents ζ ( q ) , q ∈ R {\displaystyle \zeta (q),\ q\in {\mathbb
Multifractal_system
Israeli physicist
advanced dimensional analysis (extensions of the Buckingham theorem), variational analysis of "free ends" physical problems, enabling application of the
Edward_Bormashenko
Aspect of meteorological history
April 22, 1986. It was followed by the Canadian Global Environmental Multiscale Model (GEM) mesoscale model on February 24, 1997. The German Weather Service
History of numerical weather prediction
History_of_numerical_weather_prediction
Predictive chemical model
at the Wayback Machine, Drug Theoretics and Cheminformatics Laboratory Multiscale Conceptual Model Figures for QSARs in Biological and Environmental Science
Quantitative structure–activity relationship
Quantitative_structure–activity_relationship
Probability distribution
because when doing inference over such models using methods such as Gibbs sampling or variational Bayes, Dirichlet prior distributions are often marginalized
Dirichlet_distribution
Iranian-American neuroscientist
Abbaspourazad H, Choudhury M, Wong YT, Pesaran B, Shanechi MM (January 2021). "Multiscale low-dimensional motor cortical state dynamics predict naturalistic reach-and-grasp
Maryam_Shanechi
Mechanism of spontaneous phase separation
(27 April 2022). "Optimally-Tailored Spinodal Architected Materials for Multiscale Design and Manufacturing". Advanced Materials. 34 (26) 2109304. Bibcode:2022AdM
Spinodal_decomposition
Science of rubbing surfaces
Popov, Valentin L.; Shilko, Evgeny V.; Vasiljeva, Olga S., eds. (2021). "Multiscale Biomechanics and Tribology of Inorganic and Organic Systems". Springer
Tribology
(2005). "What Determines the Intensity of Magnetospheric Substorms?". Multiscale Coupling of Sun-Earth Processes (1st ed.). Elsevier. pp. 175–194. doi:10
List_of_solar_storms
Weather prediction using mathematical models of the atmosphere and oceans
Integrated Forecast System and Environment Canada's Global Environmental Multiscale Model both run out to ten days into the future, and the Global Forecast
Numerical_weather_prediction
American chemical engineer
materials at the particle scale. He derived the overpotential from a variational principle and provide a thermodynamically consistent basis for phase
Martin_Z._Bazant
Prolonged period of excessively hot weather
J.; de Jeu, R. A. M. (2012). "Soil moisture-temperature coupling: A multiscale observational analysis". Geophysical Research Letters. 39 (21) L21707
Heat_wave
Han Chinese subdivision
theoretical models of turbulence, electronic structure analysis, multiscale methods, computational fluid dynamics, and weak KAM theory. Zhiwei Yun (1982–)
Wu_Chinese-speaking_people
Research field that applies to methods of studying issues in social science
actors (institutions). The purpose of the project is to build a generic multiscale platform which is planned to deal with water conflict-related issues.
Social_simulation
Deviation with the scale in the theories of elastic or plastic structures
Fatigue, Stockholm, Springer—Verlag. Xu, X. F. (2007) "A multiscale stochastic finite element method on elliptic problems involving uncertainties." Comput
Size effect on structural strength
Size_effect_on_structural_strength
Mathematical model of atmospheric motions
developed by the US Navy to compare with the GFS GEM Global Environmental Multiscale Model – developed by the Meteorological Service of Canada (MSC) IFS Integrated
Atmospheric_model
Matter with biological processes
evolution of novel functions over time. Living systems are characterized by a multiscale, hierarchical organization, spanning from molecular machines to cells
Life
Japanese guitar brand
range which are made in Japan. BTB Iron Label Standard BTB Iron Label Multiscale Ergodyne Series – Bodies made from Luthite polymer EDA Series EDB Series
Ibanez
American physicist and climatologist
Henry F.; Markgraf, Vera (eds.). El Niño and the southern oscillation : multiscale variability and global and regional impact. Cambridge & New York: Cambridge
Michael_E._Mann
VARIATIONAL MULTISCALE-METHOD
VARIATIONAL MULTISCALE-METHOD
Girl/Female
Tamil
Variation of Jenny which is a diminutive of jane and jennifer
Boy/Male
British, English
The Gaelic Harvest Festival; A Variation of Samhain
Girl/Female
Muslim
Angel, Variation of anaitis
Girl/Female
American, Australian, Greek
Protector of Men; Variation of Sandra or Chandra
Girl/Female
Indian
Angel, Variation of anaitis
Boy/Male
Tamil
Variation to Shanti meaning peacefulness
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Variation of the Name Sukumaran
Girl/Female
Christian, Indian, Spanish
Dedicated to God; Variation of Isabel
Boy/Male
African, American, Arabic, Bengali, French, Hebrew, Hindu, Indian, Latin, Muslim, Spanish, Tamil
Variation of Adam from the Red Earth; Earth; Man; Heaven
Boy/Male
Australian, Danish, Dutch, German, Hebrew
Variation of Jenny; Diminutive of Jane and Jennifer
Boy/Male
Hindu, Indian
Variation of Lord Vishnu
Girl/Female
American, Australian, Christian, French, German, Irish
Truthful; Noble; Nobility; Honest; Noble Sort; Variation of Alice
Girl/Female
American, British, English, French
Fair-haired; Variation of the Spanish Blandina; Flattering
Girl/Female
American, Australian, British, Chinese, Christian, English, German, Hebrew, Scandinavian
Doe; Ewe; Wise Protection; Variation of Raymond; Female Sheep
Girl/Female
Indian, Kannada
Most Highly Adored; Most Praised; Variation of Muhammad
Boy/Male
Hindu
Variation to Shanti meaning peacefulness
Girl/Female
American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Greek, Irish, Latin
Pearl; Child of Light; Variation of Margaret
Boy/Male
Indian
First; Variation of Pratham
Girl/Female
American, British, English, French, German
Truthful; Variation of Alice; Noble
Boy/Male
Hindu, Indian
Variation
VARIATIONAL MULTISCALE-METHOD
VARIATIONAL MULTISCALE-METHOD
Girl/Female
Indian
Answer of prayers, Goddess Lakshmi
Male
English
Short form of English unisex Tracy, TRACE means "place of Thracius."
Female
African
accident; skin; snore (?).
Boy/Male
Hebrew
Man of the red earth. Adam was the first man created by God.
Girl/Female
Arabic
Vision; Sight
Girl/Female
Tamil
Rain
Boy/Male
Sikh
Glorious protection of God in heaven
Male
Hindi/Indian
(वसनà¥à¤¤) Hindi myth name of a god of spring, VASANT means "spring."
Girl/Female
Muslim
Gift
Boy/Male
American, Australian, Christian, English, French, German, Greek, Hebrew, Indian, Sikh
A Healer; A Healing; The Lord is Salvation; To Heal
VARIATIONAL MULTISCALE-METHOD
VARIATIONAL MULTISCALE-METHOD
VARIATIONAL MULTISCALE-METHOD
VARIATIONAL MULTISCALE-METHOD
VARIATIONAL MULTISCALE-METHOD
n.
The observation of the state and variations of the atmosphere.
n.
The succession and variation of leaves during different seasons.
a.
Of the same tenor or tone; equable; without variation.
n.
Variability in chemical constitution without variation in crystalline form.
adv.
Without variation.
v. i.
To sing a variation or accomplishment.
adv.
Without variation of termination.
n.
Change of termination of words, as in declension, conjugation, derivation, etc.
n.
The act of varying; a partial change in the form, position, state, or qualities of a thing; modification; alternation; mutation; diversity; deviation; as, a variation of color in different lights; a variation in size; variation of language.
n.
State of diversity or variation; variegation; modification; change; alternation.
n.
An instrument for recording automatically the variations of atmospheric pressure.
n.
One of the different arrangements which can be made of any number of quantities taking a certain number of them together.
n.
Fluctuation; variation; change back and forth.
n.
Extent to which a thing varies; amount of departure from a position or state; amount or rate of change.
n.
The variation of words by declension, comparison, or conjugation; inflection.
n.
A suite; a set of variations.
a.
Not given to variation or change; unalterable; unchangeable; always uniform.
n.
Repetition of a theme or melody with fanciful embellishments or modifications, in time, tune, or harmony, or sometimes change of key; the presentation of a musical thought in new and varied aspects, yet so that the essential features of the original shall still preserve their identity.
n.
The state or quality of being abnormal; variation; irregularity.
n.
A reading; a variation in the text.