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Computing technique in probability theory
In probability theory, the matrix analytic method is a technique to compute the stationary probability distribution of a Markov chain which has a repeating
Matrix_analytic_method
Aspect of queueing theory
distribution of an M/G/1 type Markov model can be computed using the matrix analytic method. The busy period is the time spent in states 1 , 2 , 3 , . . . {\textstyle
M/G/1_queue
Method of analysis in probability theory
The matrix R can be computed using cyclic reduction or logarithmic reduction. The matrix analytic method is a more complicated version of the matrix geometric
Matrix_geometric_method
Array of numbers
Latouche, Guy; Ramaswami, Vaidyanathan (1999), Introduction to matrix analytic methods in stochastic modeling (1st ed.), Philadelphia, PA: Society for
Matrix_(mathematics)
A {\displaystyle A^{-1}A} is the identity matrix. There are many methods for calculating an inverse matrix, if it exists. Gaussian elimination is a useful
Methods_of_matrix_inversion
Probability theory concept
approximating distributions by phase type distributions and then using matrix analytic methods to solve the approximate systems. In a G/G/2 queue with heavy-tailed
G/G/1_queue
Algorithm employed by process and network schedulers in computing
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
Round-robin_scheduling
Function that maps matrices to matrices
In mathematics, every analytic function can be used for defining a matrix function that maps square matrices with complex entries to square matrices of
Analytic_function_of_a_matrix
Mathematical study of waiting lines, or queues
in the ARPANET, a forerunner to the Internet. The matrix geometric method and matrix analytic methods have allowed queues with phase-type distributed inter-arrival
Queueing_theory
Theorem in queueing theory
409–436. doi:10.4054/DemRes.2008.18.14. ISSN 1435-9871. Caswell, Hal (2006). Matrix population models: construction, analysis, and interpretation (Second ed
Little's_law
Optimization algorithm
method, except using approximations of the derivatives of the functions in place of exact derivatives. Newton's method requires the Jacobian matrix of
Quasi-Newton_method
Boston Consulting Group business analysis method
publication Perspectives in 1970. The matrix helps a company to allocate resources and is used as an analytical tool in brand marketing, product management
Growth–share_matrix
Type of queue model in queueing theory
can be described as a continuous time Markov chain with transition rate matrix Q = ( − λ λ μ − ( μ + λ ) λ μ − ( μ + λ ) λ μ − ( μ + λ ) λ ⋱ ) {\displaystyle
M/M/1_queue
Technique in analytic number theory by Helmut Maier
Maier's matrix method is a technique in analytic number theory by Helmut Maier that is used to demonstrate the existence of intervals of natural numbers
Maier's_matrix_method
Mathematical model in queueing theory
1007/0-387-21525-5_11. ISBN 978-0-387-00211-8. Asmussen, S. (2000). "Matrix-analytic Models and their Analysis". Scandinavian Journal of Statistics. 27
Markovian_arrival_process
Table layout for visualizing performance; also called an error matrix
{\displaystyle N=FP+TN} . In predictive analytics, a table of confusion (sometimes also called a confusion matrix) is a table with two rows and two columns
Confusion_matrix
Scheduling algorithm, the first piece of data inserted into a queue is processed first
in, first out (the first in is the first out), acronymized as FIFO, is a method for organizing the manipulation of a data structure (often, specifically
FIFO (computing and electronics)
FIFO_(computing_and_electronics)
Multi-server queueing model
can be described as a continuous time Markov chain with transition rate matrix Q = ( − λ λ μ − ( μ + λ ) λ 2 μ − ( 2 μ + λ ) λ 3 μ − ( 3 μ + λ ) λ ⋱ c
M/M/c_queue
Probability concept
to a different state as specified by the probabilities of a stochastic matrix. An equivalent formulation describes the process as changing state according
Continuous-time_Markov_chain
Structured technique for organizing and analyzing complex decisions
In the theory of decision making, the analytic hierarchy process (AHP), also analytical hierarchy process, is a structured technique for organizing and
Analytic_hierarchy_process
Iterative method used to solve a linear system of equations
algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a system
Gauss–Seidel_method
Concept in probability theory and gambling
limited initial capital. Swan (2006) proposed an algorithm based on matrix-analytic methods (Folding Algorithm for ruin problems) which significantly reduces
Gambler's_ruin
Group that is also a differentiable manifold with group operations that are smooth
modern mathematics and physics. Lie groups were first found by studying matrix subgroups G {\displaystyle G} contained in GL n ( R ) {\displaystyle
Lie_group
Wiener process with reflecting spatial boundaries
d–dimensional drift vector μ a d×d non-singular covariance matrix Σ and a d×d reflection matrix R. where X(t) is an unconstrained Brownian motion with drift
Reflected_Brownian_motion
System for describing queueing models
"Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain". The Annals of Mathematical Statistics. 24
Kendall's_notation
Houdt, B. (2008). "Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods". Proceedings of the 3rd International Conference on Performance
Rational_arrival_process
Theorem of queueing theory about instantaneous behavior at arrival times
"Markovian Queueing Networks". An Introduction to Queueing Theory and Matrix-Analytic Methods. pp. 63–61. doi:10.1007/1-4020-3631-0_5. ISBN 1-4020-3630-2. Reiser
Arrival_theorem
ISSN 0022-3700. Schneider, Barry (1975). "R-matrix theory for electron-atom and electron-molecule collisions using analytic basis set expansions". Chemical Physics
R-matrix
Mathematical model for understanding queueing systems
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
G-network
Matrix representing a Euclidean rotation
rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [
Rotation_matrix
Network technique addressing head-of-line blocking
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
Virtual_output_queueing
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
Bulk_queue
Mathematical identity in queueing theory
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
Pollaczek–Khinchine_formula
Aspect of mathematical queueing theory
limit on the number of entities it can contain. The transition probability matrix for an M/D/1 queue with arrival rate λ and service time 1, such that λ <1
M/D/1_queue
Equation in mathematical queueing theory
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
Kingman's_formula
This is a list of characters from The Matrix franchise universe. Many of the characters listed here have names reflecting certain aspects of them, such
List of Matrix series characters
List_of_Matrix_series_characters
Components of a chemical sample other than the substance of interest
samples where there is a strong matrix influence. In cases with complex or unknown matrices, the standard addition method can be used. In this technique
Matrix_(chemical_analysis)
Polynomial Matrix Spectral Factorization or Matrix Fejér–Riesz Theorem is a tool used to study the matrix decomposition of polynomial matrices. Polynomial
Polynomial matrix spectral factorization
Polynomial_matrix_spectral_factorization
Ionization technique
liquid matrix method" that combined 30 nm cobalt particles in glycerol with a 337 nm nitrogen laser for ionization. Using this laser and matrix combination
Matrix-assisted laser desorption/ionization
Matrix-assisted_laser_desorption/ionization
Greek-American computer scientist
evaluation, load balancing, dynamic resource provisioning, and the matrix analytic method for Markov chains. Smirni earned a diploma in computer engineering
Evgenia_Smirni
Algorithm for finding zeros of functions
{\displaystyle D^{2}f} is the 2nd derivative Hessian matrix). Newton's method is one of many known methods of computing square roots. Given a positive number
Newton's_method
1017/S0305004100036094. JSTOR 2984229. Gautam, Natarajan (2012). Analysis of Queues: Methods and Applications. CRC Press. ISBN 9781439806586. Kingman, J. F. C. (1962)
Heavy_traffic_approximation
Theorem in queueing theory
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
Burke's_theorem
Matrix of inner products of vectors
Gram matrix (or Gramian matrix, Gramian) of vectors v 1 , … , v n {\displaystyle v_{1},\dots ,v_{n}} in an inner product space is the Hermitian matrix of
Gram_matrix
first shown by Asmussen and can be computed using matrix-analytic methods. The additive decomposition method is numerically stable and separates the eigenvalues
Fluid_queue
Probability distribution
distributions". In Chakravarthy, S.; Alfa, Attahiru S. (eds.). Matrix Analytic methods in Stochastic Models. CRC Press. ISBN 0824797663. Ramaswami, V
Phase-type_distribution
Method in analytical chemistry
addition method, also called known addition, often used in analytical chemistry, quantifies the analyte present in an unknown. This method is useful
Standard_addition
paradigm of Markov additive processes for queues and their networks". Matrix-Analytic Methods - Theory and Applications - Proceedings of the Fourth International
Ladder_height_process
Exploring properties of the integers with complex analysis
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers
Analytic_number_theory
Scheduling policy
execution. While it is impossible to predict execution time perfectly, several methods can be used to estimate it, such as a weighted average of previous execution
Shortest_job_next
Extension of Laplace's method for approximating integrals
approximated with other methods like Laplace's method. The method is called the method of steepest descent because for analytic g ( z ) {\displaystyle
Method_of_steepest_descent
Queue model
Tijms et al. believe it is "not likely that computationally tractable methods can be developed to compute the exact numerical values of the steady-state
M/G/k_queue
Type of probability distribution
Publications Inc., 1981. G. Latouche, V. Ramaswami. Introduction to Matrix Analytic Methods in Stochastic Modelling, 1st edition. Chapter 2: PH Distributions;
Discrete phase-type distribution
Discrete_phase-type_distribution
Part of mathematical queueing theory
Transitions from state i to i − 1 are at rate iμ The model has transition rate matrix Q = ( − λ λ μ − ( μ + λ ) λ 2 μ − ( 2 μ + λ ) λ 3 μ − ( 3 μ + λ ) λ ⋱ )
M/M/∞_queue
Mathematical process
249–254. ISBN 0-201-54419-9. Marie, R. A. (1979). "An Approximate Analytical Method for General Queueing Networks". IEEE Transactions on Software Engineering
Flow-equivalent_server_method
Study of the separation, identification, and quantification of matter
Analytical chemistry (or chemical analysis) is the branch of chemistry concerned with the development and application of methods to identify the chemical
Analytical_chemistry
Mathematical operation
square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product BB is
Square_root_of_a_matrix
models. For a continuous time Markov chain (CTMC) with transition rate matrix Q {\displaystyle Q} , if π i {\displaystyle \pi _{i}} can be found such
Balance_equation
Computing joint values of a kinematic chain from a known end position
numerical methods, which can instead optimize a solution given additional preferences (costs in an optimization problem).[citation needed] An analytic solution
Inverse_kinematics
Discipline within mathematical theory
U_{n}=X_{A_{n}-}} . This is a discrete-time Markov chain with stochastic matrix: P = ( 1 − a 0 a 0 0 0 0 ⋯ 1 − ( a 0 + a 1 ) a 1 a 0 0 0 ⋯ 1 − ( a 0 + a
G/M/1_queue
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
BCMP_network
Precursor physical model to string theory and quantum chromodynamics
antiparticle scattering are the analytic continuation of particle scattering amplitudes. Dispersion relations: the values of the S-matrix can be calculated by integrals
S-matrix_theory
the optimization takes place: H∞ is the Hardy space of matrix-valued functions that are analytic and bounded in the open right-half of the complex plane
H-infinity methods in control theory
H-infinity_methods_in_control_theory
consisting of the 3x3 rotation matrix R and the 1x3 translation vector p. The matrix is augmented to create a 4x4 square matrix. g s t ( 0 ) = [ R p 0 1 ]
Product of exponentials formula
Product_of_exponentials_formula
Method of solving a linear system of equations
\ldots ,n.} This can again be written analytically in matrix-vector form without the need of inverting the matrix ( D + ω L ) {\displaystyle (D+\omega
Successive_over-relaxation
Concept in probability theory
Publications Inc. G. Latouche, V. Ramaswami. (1999) Introduction to Matrix Analytic Methods in Stochastic Modelling, 1st edition. Chapter 2: PH Distributions;
Hypoexponential_distribution
Algorithms for matrix decomposition
Non-negative matrix factorization (NMF or NNMF), also non-negative matrix approximation is a group of algorithms in multivariate analysis and linear algebra
Non-negative matrix factorization
Non-negative_matrix_factorization
In mathematics, invariant of square matrices
square matrix. The determinant of a matrix A is commonly denoted det(A), det A, or |A|. Its value characterizes some properties of the matrix and the
Determinant
Type of queue
for the performance analysis of parallel and distributed systems." Few analytical results exist for fork–join queues, but various approximations are known
Fork–join_queue
Algorithmic runtime requirements for common math procedures
its inverse, since all elementary functions are analytic and hence invertible by means of Newton's method. In particular, if either exp {\displaystyle \exp
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Notion in statistics
S2CID 16090098. Spall, J. C. (2008), "Improved Methods for Monte Carlo Estimation of the Fisher Information Matrix," Proceedings of the American Control Conference
Fisher_information
M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix analytic method M/G/k queue G/M/1 queue G/G/1 queue Kingman's formula Lindley equation
Gordon–Newell_theorem
Interaction between electronic and nuclear vibrational motion in a molecule
evaluation of nonadiabatic coupling matrix elements using SA-MCSCF/CI wave functions and analytic gradient methods. I". The Journal of Chemical Physics
Vibronic_coupling
Method for approximating eigenvalues
Rayleigh–Ritz method is commonly applied to approximate an eigenvalue problem A x = λ x {\displaystyle A\mathbf {x} =\lambda \mathbf {x} } for the matrix A ∈ C
Rayleigh–Ritz_method
Mathematical method for integrodifferential equations
conditions on the same boundary. In general, the method works by exploiting the complex-analytical properties of transformed functions. Typically, the
Wiener–Hopf_method
The method is founded on advanced concepts and results from complex analysis, such as holomorphicity, the theory of algebraic curves, and analytic continuation
Holomorphic Embedding Load-flow method
Holomorphic_Embedding_Load-flow_method
structure of the model. For example, the Tree-MVA method can scale to larger models if the routing matrix is sparse. Exact values for mean performance metrics
Mean_value_analysis
Form of solution in probability theory
"Approximate Transient Analysis of Queuing Networks by Quasi Product Forms". Analytical and Stochastic Modeling Techniques and Applications. Lecture Notes in
Product-form_solution
Method for determining the concentration of a substance in an unknown sample
In analytical chemistry, a calibration curve, also known as a standard curve, is a general method for determining the concentration of a substance in an
Calibration_curve
matrix (the Gramian matrix). An exception occurs in numerical smoothing and differentiation where an analytical expression is required. If the matrix
Numerical methods for linear least squares
Numerical_methods_for_linear_least_squares
Generalization of signum function to matrices
to the matrix valued analogue csgn ( A ) {\displaystyle \operatorname {csgn} (A)} . Although the sign function is not analytic, the matrix function
Matrix_sign_function
Scoring guide for assessment
as holistic, analytic, or developmental. Holistic rubrics provide an overall rating for a piece of work, considering all aspects. Analytic rubrics evaluate
Rubric_(academic)
doi:10.1145/62058.62059. Gautam, Natarajan (2012). Analysis of Queues: Methods and Applications. CRC Press. ISBN 9781439806586. Eisenberg, M. (1972).
Polling_system
Many of these approximation methods can be expressed in purely linear algebraic or functional analytic terms as matrix or function approximations. Others
Gaussian process approximations
Gaussian_process_approximations
the mathematical theory of probability, the decomposition method is an approximate method for the analysis of queueing networks where the network is
Decomposition method (queueing theory)
Decomposition_method_(queueing_theory)
Collection of random variables
ISBN 978-1-316-24124-0. G. Latouche; V. Ramaswami (1999). Introduction to Matrix Analytic Methods in Stochastic Modeling. SIAM. ISBN 978-0-89871-425-8. D.J. Daley;
Stochastic_process
Matrix with nonzero elements on the main diagonal and the diagonals above and below it
In linear algebra, a tridiagonal matrix is a band matrix that has nonzero elements only on the main diagonal, the subdiagonal/lower diagonal (the first
Tridiagonal_matrix
Scientific journal
in 2021, it covers review articles on analytical, applied, statistical, theoretical and computational methods used in the life and physical sciences
Nature Reviews Methods Primers
Nature_Reviews_Methods_Primers
Concept in queueing theory
"Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain". The Annals of Mathematical Statistics. 24
M/D/c_queue
Specialized notation for multivariable calculus
formulae may extend under weaker analytic conditions than the existence of the derivative as approximating linear mapping. Matrix calculus is used for deriving
Matrix_calculus
Mathematical problems related to differential equations
(2006), especially convenient when jump matrices do not have analytic extensions. Their method is based on the analysis of d-bar problems, rather than the
Riemann–Hilbert_problem
"Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain". The Annals of Mathematical Statistics. 24
D/M/1_queue
Scheduling algorithm
time, also known as shortest remaining time first (SRTF), is a scheduling method that is a preemptive version of shortest job next scheduling. In this scheduling
Shortest_remaining_time
Special type of continuous-time Markov process
V. (1999). "Quasi-Birth-and-Death Processes". Introduction to Matrix Analytic Methods in Stochastic Modelling (1st ed.). ASA SIAM. ISBN 0-89871-425-7
Birth–death_process
Branch of mathematics studying functions of a complex variable
orthogonal matrix. For mappings in two dimensions, the (orientation-preserving) conformal mappings are precisely the locally invertible complex analytic functions
Complex_analysis
Statistical method in psychology
retain (Velicer, 1976). By this method, components are maintained as long as the variance in the correlation matrix represents systematic variance, as
Exploratory_factor_analysis
with Layered Queueing Networks" (PDF). Leveraging Applications of Formal Methods, Verification, and Validation. LNCS. Vol. 6416. p. 51. doi:10.1007/978-3-642-16561-0_12
Layered_queueing_network
Process of understanding a complex topic or substance
analysis of Homer or Freud. While not all literary-critical methods are primarily analytical in nature, the main approach to the teaching of literature
Analysis
Mathematical discipline
on queue lengths). Jobs travel among the nodes following a fixed routing matrix. All jobs at each node belong to a single "class", and jobs follow the same
Jackson_network
Concepts from linear algebra
iterative method to compute eigenvalues and eigenvectors, among several other possibilities. Most numeric methods that compute the eigenvalues of a matrix also
Eigenvalues_and_eigenvectors
MATRIX ANALYTIC-METHOD
MATRIX ANALYTIC-METHOD
Female
English
Pet form of English Matilda, MATTIE means "mighty in battle." Compare with masculine Mattie.
Girl/Female
Arabic, Australian, Basque, French, Latin
Lady; Feminine of Martin; Warlike
Male
English
Anglicized form of Irish Gaelic MainchÃn, MANNIX means "little monk."
Female
Finnish
Finnish form of Greek Margarites, MAARIT means "pearl."
Female
English
English form of Latin Viatrix, BEATRIX means "voyager (through life)."
Male
English
Pet form of English Martin, MARTIE means "of/like Mars."
Male
French
French and German form of Greek Mattathias, MATHIS means "gift of God."
Female
Finnish
Finnish form of Greek Maria, MAARIA means "obstinacy, rebelliousness" or "their rebellion."Â
Female
English
French form of Latin Maria, MARIE means "obstinacy, rebelliousness" or "their rebellion."
Female
Welsh
Welsh form of Old French Caterine, CATRIN means "pure."
Girl/Female
Maori
The Maori form of April.
Male
English
 English form of Roman Latin Martinus, MARTIN means "of/like Mars." Compare with another form of Martin.
Male
English
Pet form of English Matthew, MATTIE means "gift of God." Compare with feminine Mattie.
Girl/Female
Tamil
Samiksha | ஸமீகà¯à®·à®¾
Analysis
Samiksha | ஸமீகà¯à®·à®¾
Male
Italian
Italian form of Hebrew Mattithyah, MATTIA means "gift of God."
Male
Hungarian
Czech and Hungarian form of Greek Patrikios, PATRIK means "patrician, of noble descent."
Female
Finnish
Pet form of Finnish Katariina, KATRI means "pure."
Female
German
Pet form of German Katarine, KATRIN means "pure."
Male
French
 French form of Roman Latin Martinus, MARTIN means "of/like Mars." Compare with another form of Martin.
Boy/Male
Hindu, Indian
Analytic Brain
MATRIX ANALYTIC-METHOD
MATRIX ANALYTIC-METHOD
Surname or Lastname
Altered spelling of German Bayer or Beyer.German
Altered spelling of German Bayer or Beyer.German : habitational name for someone from Boye (near Celle-Hannover).English : variant of Bowyer.Danish : habitational name from a place so named. The surname is also found in Norway and Sweden, probably from the same source.
Girl/Female
Muslim
Transmitter of ancient Arabic poetry
Girl/Female
Tamil
Another name of river Kaveri
Girl/Female
Gujarati, Indian
Carving
Boy/Male
Hindu, Indian, Kannada, Sanskrit, Tamil, Telugu
Lord Shiva
Girl/Female
Hebrew Biblical
Wise. Feminine form from the male Dara, a biblical descendant of Judah known for his wisdom.
Girl/Female
Australian, Greek, Irish
Prophetess
Boy/Male
Muslim
Steersman. Leader.
Boy/Male
Australian, British, English, French, German, Hebrew
The Lord has Remembered; God has Remembered
Boy/Male
Indian, Sanskrit
Thoughtful
MATRIX ANALYTIC-METHOD
MATRIX ANALYTIC-METHOD
MATRIX ANALYTIC-METHOD
MATRIX ANALYTIC-METHOD
MATRIX ANALYTIC-METHOD
n.
A housekeeper; esp., a woman who manages the domestic economy of a public instution; a head nurse in a hospital; as, the matron of a school or hospital.
n.
The science of analysis.
n.
The cavity in which anything is formed, and which gives it shape; a die; a mold, as for the face of a type.
pl.
of Matrix
n.
The lifeless portion of tissue, either animal or vegetable, situated between the cells; the intercellular substance.
a.
Pertaining to anabasis; as, an anabatic fever.
a.
Of or pertaining to the Maoris or to their language.
a.
Alt. of Analytical
n.
See Matrix.
a.
Of or pertaining to the meter as a standard of measurement; of or pertaining to the decimal system of measurement of which a meter is the unit; as, the metric system; a metric measurement.
n.
The earthy or stony substance in which metallic ores or crystallized minerals are found; the gangue.
a.
Relating to analects; made up of selections; as, an analectic magazine.
pl.
of Maori
n.
The five simple colors, black, white, blue, red, and yellow, of which all the rest are composed.
n.
Hence, that which gives form or origin to anything
n.
A mold; a matrix.
n.
The process of ascertaining the name of a species, or its place in a system of classification, by means of an analytical table or key.
a.
Of or pertaining to analysis; resolving into elements or constituent parts; as, an analytical experiment; analytic reasoning; -- opposed to synthetic.
n.
A rectangular arrangement of symbols in rows and columns. The symbols may express quantities or operations.