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Category theory generalization of fumction factorization
an injective function. Factorization systems are a generalization of this situation in category theory. A factorization system (E, M) for a category C
Factorization_system
Mathematical procedure
Matrix factorization is a class of collaborative filtering algorithms used in recommender systems. Matrix factorization algorithms work by decomposing
Matrix factorization (recommender systems)
Matrix_factorization_(recommender_systems)
(Mathematical) decomposition into a product
example, 3 × 5 is an integer factorization of 15, and (x − 2)(x + 2) is a polynomial factorization of x2 − 4. Factorization is not usually considered meaningful
Factorization
Decomposition of a number into a product
called prime factorization; the result is always unique up to the order of the factors by the prime factorization theorem. To factorize a small integer
Integer_factorization
Computational method
In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field
Factorization_of_polynomials
Inclusion of one mathematical structure in another, preserving properties of interest
morphism. A factorization system for a category also gives rise to a notion of embedding. If ( E , M ) {\displaystyle (E,M)} is a factorization system, then
Embedding
Mathematical category with weak equivalences, fibrations and cofibrations
{\displaystyle (C\cap W,F)} is a weak factorization system, ( C , F ∩ W ) {\displaystyle (C,F\cap W)} is a weak factorization system W {\displaystyle W} satisfies
Model_category
Algorithms for matrix decomposition
non-negative matrix factorizations was performed by a Finnish group of researchers in the 1990s under the name positive matrix factorization. It became more
Non-negative matrix factorization
Non-negative_matrix_factorization
equivalence class of such). In the presence of pullbacks and a proper factorization system, one can define the composition of relations. The composition X ←
Allegory_(mathematics)
Concept category theory (mathematics)
Quillen. It is also used in the definition of a factorization system, and of a weak factorization system, notions related to but less restrictive than the
Lifting_property
Quantum algorithm for integer factorization
circuits. In 2012, the factorization of 15 {\displaystyle 15} was performed with solid-state qubits. Later, in 2012, the factorization of 21 {\displaystyle
Shor's_algorithm
Matrix decomposition method
In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite
Cholesky_decomposition
Group of mathematical theorems
is (normal epi, mono)-factorizable; in other words, the normal epimorphisms and the monomorphisms form a factorization system for the category. This
Isomorphism_theorems
Type of matrix factorization
an LDU factorization (with all diagonal entries of L and U equal to 1), then the factorization is unique. In that case, the LU factorization is also
LU_decomposition
Accomplishments in factoring large integers
Integer factorization is the process of determining which prime numbers divide a given positive integer. Doing this quickly has applications in cryptography
Integer_factorization_records
Potential problem in computer-based information systems
mapping which is tailored to matrix factorization algorithms. The basic idea is the following. A matrix factorization model represents the user-item interactions
Cold start (recommender systems)
Cold_start_(recommender_systems)
factorization of a morphism in a functorial way. In practice, it can be used to show some class of morphisms constitutes a weak factorization system in
Small_object_argument
Factorization method based on the difference of two squares
it is a proper factorization of N. Each odd number has such a representation. Indeed, if N = c d {\displaystyle N=cd} is a factorization of N, then N =
Fermat's_factorization_method
Statistical principle
on one's inference about the population mean. Fisher's factorization theorem or factorization criterion provides a convenient characterization of a sufficient
Sufficient_statistic
Information systems supporting business or organizational decision-making activities
A decision support system (DSS) is an information system that supports business or organizational decision-making activities. DSSs serve the management
Decision_support_system
System to predict users' preferences
algorithm, while that of model-based approaches is matrix factorization (recommender systems). A key advantage of the collaborative filtering approach
Recommender_system
Algorithm for integer factorization
elliptic-curve factorization or the elliptic-curve factorization method (ECM) is a fast, sub-exponential running time, algorithm for integer factorization, which
Lenstra elliptic-curve factorization
Lenstra_elliptic-curve_factorization
System in which not only one independent variable exists
reason is that the factorization and stability is not a straightforward extension of the factorization and stability of 1-D systems because, for example
Multidimensional_system
Mathematical category with finite limits and coequalizers
regular-epimorphisms and the monomorphisms form a factorization system. Every morphism f:X→Y can be factorized into a regular epimorphism e:X→E followed by
Regular_category
Mathematical software
form of expressions: expanding products and powers, partial and full factorization, rewriting as partial fractions, constraint satisfaction, rewriting
Computer_algebra_system
Mathematical problems related to differential equations
infinite self-intersection in the complex plane), a Riemann–Hilbert factorization problem is the following. Given a matrix function G ( t ) {\displaystyle
Riemann–Hilbert_problem
Number divisible only by 1 and itself
although there are many different ways of finding a factorization using an integer factorization algorithm, they all must produce the same result. Primes
Prime_number
Computer system for solving algebra problems
algorithm for fast multiplication of integers and polynomials. Integer factorization algorithms include the Elliptic Curve Method, the Quadratic sieve and
Magma (computer algebra system)
Magma_(computer_algebra_system)
Polynomial with no repeated root
derivative. A square-free decomposition or square-free factorization of a polynomial is a factorization into powers of square-free polynomials f = a 1 a 2
Square-free_polynomial
System of rapid mental calculation
The Trachtenberg system is a system of rapid mental calculation. The system consists of a number of readily memorized operations that allow one to perform
Trachtenberg_system
Representation of a matrix as a product
discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different
Matrix_decomposition
Integer factorization algorithm
Pollard's rho algorithm is an algorithm for integer factorization. It was invented by John Pollard in 1975. It uses only a small amount of space, and
Pollard's_rho_algorithm
Algorithm for public-key cryptography
proven that none exists; see integer factorization for a discussion of this problem. The first RSA-512 factorization in 1999 used hundreds of computers
RSA_cryptosystem
Natural number
even base, even numbers will end with an even digit. Binary is a number system with a base of two, where each "bit" (binary digit) is either 0 (off) or
2
Base-1 numeral system
space requirements of a problem. For instance, the problem of integer factorization is suspected to require more than a polynomial function of the length
Unary_numeral_system
Ancient algorithm for generating prime numbers
appears in the original algorithm. This can be generalized with wheel factorization, forming the initial list only from numbers coprime with the first few
Sieve_of_Eratosthenes
Block design in combinatorial mathematics
matching with the factorization labels in turn. Similarly add three more blocks 12CDEF, 34CDEF, and 56CDEF, replacing the factorization labels by the corresponding
Steiner_system
Algorithm for generating numbers coprime with first few primes
Wheel factorization is a method for generating a sequence of natural numbers by repeated additions, as determined by a number of the first few primes
Wheel_factorization
Type theory in logic and mathematics
relation between intensional type theory and factorization systems: one by Richard Garner, "Factorisation systems for type theory", and one by Michael Warren
Homotopy_type_theory
Natural number
ring of integers has a unique factorization, or class number of 1. 9 is the largest single-digit number in the decimal system. The nine dots puzzle is a
9
Natural number
Cardinal twenty-two Ordinal 22nd (twenty-second) Numeral system Duovigesimal Factorization 2 × 11 Divisors 1, 2, 11, 22 Greek numeral ΚΒ´ Roman numeral
22_(number)
Natural number
80 90 → Cardinal eighteen Ordinal 18th (eighteenth) Numeral system octodecimal Factorization 2 × 32 Divisors 1, 2, 3, 6, 9, 18 Greek numeral ΙΗ´ Roman numeral
18_(number)
Algorithm in number theory
theory, Dixon's factorization method (also Dixon's random squares method or Dixon's algorithm) is a general-purpose integer factorization algorithm; it
Dixon's_factorization_method
In number theory, the continued fraction factorization method (CFRAC) is an integer factorization algorithm. It is a general-purpose algorithm, meaning
Continued fraction factorization
Continued_fraction_factorization
the factorization p ( t ) = q ( t ) q ¯ ( t ) {\displaystyle p(t)=q(t){\bar {q}}(t)} called the spectral factorization (or Wiener-Hopf factorization) of
Polynomial matrix spectral factorization
Polynomial_matrix_spectral_factorization
Set of large semiprimes
decimal digits (330 bits). Its factorization was announced on April 1, 1991, by Arjen K. Lenstra. Reportedly, the factorization took a few days using the multiple-polynomial
RSA_numbers
Natural number
commonly used to mean "perfect vision" in countries using the Imperial system. (The metric equivalent is 6/6.) When someone is able to see only after
20_(number)
Natural number
following 9 and preceding 11. Ten is the base of decimal numeral systems, the most common systems for denoting numbers in both spoken and written language. The
10
Natural number
number. a centered tetrahedral number. the smallest number that can be factorized using Shor's quantum algorithm. the magic constant of the unique order-3
15_(number)
Large number defined as ten to the 100th power
duotrigintillion (short scale) or ten sexdecilliard (long scale). Its prime factorization is 2100 × 5100. The term was coined in 1920 by nine-year-old Milton
Googol
Natural number
70 80 90 → Cardinal fifty Ordinal 50th (fiftieth) Numeral system quinquagesimal Factorization 2 × 52 Divisors 1, 2, 5, 10, 25, 50 Greek numeral Ν´ Roman
50_(number)
Process of reducing the number of random variables under consideration
(2001). Algorithms for Non-negative Matrix Factorization (PDF). Advances in Neural Information Processing Systems 13: Proceedings of the 2000 Conference.
Dimensionality_reduction
Prime number of the form 2^n – 1
– Factorization of Mersenne numbers Mn (n up to 1280) Factorization of completely factored Mersenne numbers The Cunningham project, factorization of
Mersenne_prime
Approach to public-key cryptography
in several integer factorization algorithms that have applications in cryptography, such as Lenstra elliptic-curve factorization. The use of elliptic
Elliptic-curve_cryptography
Concept in numerical linear algebra
algebra, an incomplete LU factorization (abbreviated as ILU) of a matrix is a sparse approximation of the LU factorization often used as a preconditioner
Incomplete_LU_factorization
Special-purpose algorithm for factoring integers
Pollard's p − 1 algorithm is a number theoretic integer factorization algorithm, invented by John Pollard in 1974. It is a special-purpose algorithm,
Pollard's_p_−_1_algorithm
Approximation of a matrix's Cholesky factorization
factorization of a symmetric positive definite matrix is a sparse approximation of the Cholesky factorization. An incomplete Cholesky factorization is
Incomplete Cholesky factorization
Incomplete_Cholesky_factorization
Practice and study of secure communication techniques
"computationally secure". Theoretical advances (e.g., improvements in integer factorization algorithms) and faster computing technology require these designs to
Cryptography
Factorization algorithm
2007-12-13. "readme.nfs from msieve". "We are pleased to announce the factorization of RSA768, the following 768-bit, 232-digit number from RSA's challenge
General_number_field_sieve
Natural number
containing only the element 0. The unary numeral system, as used in tallying, is an example of a "base-1" number system, since only one mark – the tally itself –
1
Problem of inverting exponentiation in groups
algorithms exist, usually inspired by similar algorithms for integer factorization. These algorithms run faster than the naïve algorithm, some of them
Discrete_logarithm
Natural number, composite number
being the Hanuman Chalisa (chaalis is the Hindi term for 40). In the Hindu system some of the popular fasting periods consist 40 days and is called the period
40_(number)
Algorithm used by recommender systems
matrix[citation needed]. Therefore, similar to matrix factorization methods, tensor factorization techniques can be used to reduce dimensionality of original
Collaborative_filtering
Computation modulo a fixed integer
integer factorization and thus are a starting point for cryptographic algorithms and encryption. These problems might be NP-intermediate. Solving a system of
Modular_arithmetic
Field of mathematics
decompositions like the singular value decomposition, the QR factorization, the LU factorization, or the eigendecomposition, which can then be used to answer
Numerical_linear_algebra
Computer algebra system
Michael Lucks; Bruce W. Char (1986). A fast implementation of polynomial factorization | Proceedings of SYMSAC '86. ACM. pp. 228–232. ISBN 978-0-89791-199-3
Axiom (computer algebra system)
Axiom_(computer_algebra_system)
Largest integer that divides given integers
not assured in arbitrary integral domains. However, if R is a unique factorization domain or any other GCD domain, then any two elements have a GCD. If
Greatest_common_divisor
Mathematical for factoring integers
finding differences of squares in Fermat's factorization method. The great disadvantage of Euler's factorization method is that it cannot be applied to factoring
Euler's_factorization_method
Polynomial without nontrivial factorization
essentially unique factorization into prime or irreducible factors. When the coefficient ring is a field or other unique factorization domain, an irreducible
Irreducible_polynomial
Method for representing or encoding numbers
{\displaystyle p_{1}^{\nu _{1}}\cdot \ldots \cdot p_{n}^{\nu _{n}}:=b} is a factorization of b {\displaystyle b} into the primes p 1 , … , p n ∈ P {\displaystyle
Positional_notation
Natural number
sedenions form a 16-dimensional hypercomplex number system. Sixteen is the base of the hexadecimal number system, which is used extensively in computer science
16_(number)
Algorithm for computing greatest common divisors
essential step in several integer factorization algorithms, such as Pollard's rho algorithm, Shor's algorithm, Dixon's factorization method and the Lenstra elliptic
Euclidean_algorithm
Natural number
binary BBP-type formulae. 23 is the first prime p for which unique factorization of cyclotomic integers based on the pth root of unity breaks down. 23
23_(number)
Base sixty numeral system
the sexagesimal system, any fraction in which the denominator is a regular number (having only 2, 3, and 5 in its prime factorization) may be expressed
Sexagesimal
Special-purpose integer factorization algorithm
homomorphism φ to the factorization of a+bα, and we can apply the canonical ring homomorphism from Z to Z/nZ to the factorization of a+bm. Setting these
Special_number_field_sieve
Natural number
40 50 60 70 80 90 → Cardinal six Ordinal 6th (sixth) Numeral system senary Factorization 2 × 3 Divisors 1, 2, 3, 6 Greek numeral Ϛ´ Roman numeral VI,
6
Algorithm in computational number theory
The original applications were to give polynomial-time algorithms for factorizing polynomials with rational coefficients, for finding simultaneous rational
Lenstra–Lenstra–Lovász lattice basis reduction algorithm
Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm
Numeral system
and next in the series being 12 and 120), was chosen due to its prime factorization: 2×2×3×5, which makes it divisible by 1, 2, 3, 4, 5, 6, 10, 12, 15,
Babylonian_cuneiform_numerals
Matrix decomposition
eigendecomposition (also known as eigenvalue decomposition or EVD) is a factorization of a matrix A {\displaystyle A} into a canonical form given by A =
Eigendecomposition of a matrix
Eigendecomposition_of_a_matrix
Natural number
modern Western digit for the numeral for five is traced back to the Indian system of numerals, where on some earlier versions, the numeral bore resemblance
5
Prime power with exponent 2^k
integer also has a unique factorization as a product of Fermi–Dirac primes, with no repetitions allowed. The Fermi–Dirac factorization can be obtained from
Fermi–Dirac_prime
network-wide coordinate distortion by instead opting for a 3-way factorization. This factorization is as follows: d i , j = Y i ϕ i Y j T {\displaystyle d_{i
Network_Coordinate_System
Algorithms to generate prime numbers
Fermat primes, can be efficiently tested for primality if the prime factorization of p − 1 or p + 1 is known. The sieve of Eratosthenes is generally considered
Generation_of_primes
Integer factorization algorithm
factorization is complete. This is roughly the basis of Fermat's factorization method. The quadratic sieve is a modification of Dixon's factorization
Quadratic_sieve
Base-12 numeral system
Also, the prime factor 2 appears twice in the factorization of twelve, whereas only once in the factorization of ten; which means that most fractions whose
Duodecimal
of factorization are called invariants because they have the same form for equivalent (i.e. self-adjoint) operators. Beals-Kartashova-factorization (also
Invariant factorization of LPDOs
Invariant_factorization_of_LPDOs
Natural number
50 60 70 80 90 → Cardinal four Ordinal 4th (fourth) Numeral system quaternary Factorization 22 Divisors 1, 2, 4 Greek numeral Δ´ Roman numeral IV (subtractive
4
Orthonormalization of a set of vectors
{\displaystyle \mathbf {u} _{1},\ldots ,\mathbf {u} _{k}} is the required system of orthogonal vectors, and the normalized vectors e 1 , … , e k {\displaystyle
Gram–Schmidt_process
Integer factorization algorithm
division is the most laborious but easiest to understand of the integer factorization algorithms. The essential idea behind trial division tests to see if
Trial_division
Probabilistic primality test
return “composite” return “probably prime” This is not a probabilistic factorization algorithm because it is only able to find factors for numbers n which
Miller–Rabin_primality_test
Topics referred to by the same term
theorem regarding the factorization of polynomials Fundamental theorem of arithmetic, a theorem regarding prime factorization Fundamental analysis, the
Fundamental
Natural number
The use of three lines to denote the number 3 occurred in many writing systems, including some (like Roman and Chinese numerals) that are still in use
3
Integer factorization algorithm
Shanks' square forms factorization is a method for integer factorization devised by Daniel Shanks as an improvement on Fermat's factorization method. The success
Shanks's square forms factorization
Shanks's_square_forms_factorization
Theorem relating Milnor K-theory and Galois cohomology
to the study of weak equivalences is based on Bousfield–Quillen factorization systems and model category structures, and these were inadequate. Other
Norm residue isomorphism theorem
Norm_residue_isomorphism_theorem
Natural number
70 80 90 → Cardinal eighty Ordinal 80th (eightieth) Numeral system octogesimal Factorization 24 × 5 Divisors 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 (10) Greek
80_(number)
Natural number
romanized: wāhid, lit. 'one'). The numerical value of this word in the Abjad numeral system is 19. The Baháʼí calendar is structured such that a year contains 19 months
19_(number)
Multi-modular arithmetic
Takeshima, Taku (1994). "Multi-Modular Approach to Polynomial-Time Factorization of Bivariate Integral Polynomials". Journal of Symbolic Computation
Residue_number_system
Method of data analysis
components transformation can also be associated with another matrix factorization, the singular value decomposition (SVD) of X, X = U Σ W T {\displaystyle
Principal_component_analysis
Natural number, composite number
90 → Cardinal fourteen Ordinal 14th (fourteenth) Numeral system tetradecimal Factorization 2 × 7 Divisors 1, 2, 7, 14 Greek numeral ΙΔ´ Roman numeral
14_(number)
Natural number
Babylonian system. For example, in time, there are 60 seconds in a minute, and 60 minutes in an hour. (a legacy of the Babylonian number system) The number
60_(number)
FACTORIZATION SYSTEM
FACTORIZATION SYSTEM
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Method; Organisation; System
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : status name in the feudal system for a serf who had been freed.Jewish (American) : Americanized form of Friedmann (see Fried).
Surname or Lastname
Irish (co. Cork)
Irish (co. Cork) : reduced Anglicized form of Gaelic Mac Oitir ‘son of Oitir’, a personal name borrowed from Old Norse Óttarr, composed of the elements ótti ‘fear’, ‘dread’ + herr ‘army’.English : status name from Middle English cotter, a technical term in the feudal system for a serf or bond tenant who held a cottage by service rather than rent, from Old English cot ‘cottage’, ‘hut’ (see Coates) + -er agent suffix.Probably an Americanized spelling of German Kotter.
Girl/Female
Indian, Tamil
The Sun is the Star at the Centre of the Solar System; It is Almost Perfectly Spherical and Consists of Hot Plasma Interwoven with Magnetic Fields; Sun
Boy/Male
Tamil
To do something systematically, Optimum utilization of resources
Surname or Lastname
English
English : status name for the head of a tithing, Old English tēoðingmann (from tēoðing ‘tithing’, a group of households, originally ten households, + mann ‘man’). According to the medieval system of frankpledge, every member of a tithing was responsible for every other, so that for example if one of them committed a crime the others had to help pay for it.English : from the Middle English, Old English personal name Tideman, composed of Old English tīd ‘time’, ‘season’ + mann ‘man’.Altered spelling of German Tittmann, a variant of Dittmann.
Boy/Male
Arabic, Muslim
Religion of Path; Way; Style; System; Way of Religion
Girl/Female
Hindu
System, Organization
Surname or Lastname
English and Irish
English and Irish : apparently a topographic name from Middle English furlong ‘length of a field’ (from Old English furh ‘furrow’ + lang ‘long’), the technical term for the block of strips owned by several different persons which formed the unit of cultivation in the medieval open-field system of farming, or a habitational name from a minor place named with this word, such as Furlong in Devon or Shropshire. The surname is now chiefly common in Ireland, where a family of this name settled at the end of the 13th century.Possibly an Americanized form of French Ferland.
Boy/Male
Hindu
To do something systematically, Optimum utilization of resources
Girl/Female
Hindu
System, Organization
Surname or Lastname
English
English : status name from Middle English knyghte ‘knight’, Old English cniht ‘boy’, ‘youth’, ‘serving lad’. This word was used as a personal name before the Norman Conquest, and the surname may in part reflect a survival of this. It is also possible that in a few cases it represents a survival of the Old English sense into Middle English, as an occupational name for a domestic servant. In most cases, however, it clearly comes from the more exalted sense that the word achieved in the Middle Ages. In the feudal system introduced by the Normans the word was applied at first to a tenant bound to serve his lord as a mounted soldier. Hence it came to denote a man of some substance, since maintaining horses and armor was an expensive business. As feudal obligations became increasingly converted to monetary payments, the term lost its precise significance and came to denote an honorable estate conferred by the king on men of noble birth who had served him well. Knights in this last sense normally belonged to ancient noble families with distinguished family names of their own, so that the surname is more likely to have been applied to a servant in a knightly house or to someone who had played the part of a knight in a pageant or won the title in some contest of skill.Irish : part translation of Gaelic Mac an Ridire ‘son of the rider or knight’. See also McKnight.
Boy/Male
Hindu, Indian
To do Something Systematically or Optimum Utilization of Resources
Surname or Lastname
German
German : topographic name for someone who lived by an elder tree, Middle High German holder, or from a house named for its sign of an elder tree. In same areas, for example Alsace, the elder tree was believed to be the protector of a house.Jewish (Ashkenazic) : ornamental name from German Holder ‘elder tree’.English (chiefly western counties) : occupational name for a tender of animals, from an agent derivative of Middle English hold(en) ‘to guard or keep’ (Old English h(e)aldan). It is possible that this word was also used in the wider sense of a holder of land within the feudal system. Compare Helder.
Surname or Lastname
English
English : from Old Norse drengr ‘young man’, but with more than one possible interpretation. It may reflect the personal name (originally a byname) of this form, which had some currency in the most Scandinavian-influenced areas of medieval England. Alternatively it may reflect the Middle English borrowing of the vocabulary word in the sense ‘servant’, later a technical term of the feudal system of Northumbria for a free tenant who held land by military and agricultural service, sometimes paying rent as well or in commutation.
Boy/Male
Arabic
Broken Egg Shells (Celestial Trinary Star System in Constellation Eridanus)
Surname or Lastname
English
English : status name from Middle English frankelin ‘franklin’, a technical term of the feudal system, from Anglo-Norman French franc ‘free’ (see Frank 2) + the Germanic suffix -ling. The status of the franklin varied somewhat according to time and place in medieval England; in general, he was a free man and a holder of fairly extensive areas of land, a gentleman ranked above the main body of minor freeholders but below a knight or a member of the nobility.The surname is also borne by Jews, in which case it represents an Americanized form of one or more like-sounding Jewish surnames.In modern times, this has been used to Americanize François, the French form of Francis.The American statesman and scientist Benjamin Franklin (1706–90) was the son of Josiah Franklin, a chandler (dealer in soap and candles), who had emigrated in about 1682 from Ecton, Northamptonshire, to Boston, MA, where his son was born.
Girl/Female
Tamil
Pranaali | பà¯à®°à®¨à®¾à®²à¯€
System, Organization
Pranaali | பà¯à®°à®¨à®¾à®²à¯€
Girl/Female
Tamil
Pranali | பà¯à®°à®£à®¾à®²à¯€
System, Organization
Pranali | பà¯à®°à®£à®¾à®²à¯€
Girl/Female
Indian, Punjabi, Sikh
Of the Guru; System of Guru
FACTORIZATION SYSTEM
FACTORIZATION SYSTEM
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Courageous
Girl/Female
Muslim/Islamic
Learned knowing
Surname or Lastname
English
English : from Middle English, Old French seintuarie ‘sanctuary’, ‘shrine’ (Late Latin sanctuarium, a derivative of sanctus ‘holy’); a topographic name for someone who lived near a shrine, or a nickname for someone who had had occasion to take sanctuary in a church or monastery, where he would have been afforded immunity from arrest or injury.
Boy/Male
Hindu, Indian, Punjabi, Sikh
Clean; Pure
Female
English
Variant spelling of English Kristy, KRISTIE means "believer" or "follower of Christ."
Girl/Female
Muslim
Generous, Noble, Precious, Perfect
Surname or Lastname
English
English : unexplained.possibly an altered form of German Stenger.
Girl/Female
Hindu, Indian, Traditional
Victorious
Boy/Male
Tamil
A mythical snake with jewel in its Hood
Boy/Male
Indian, Punjabi, Sikh
Lovable Brave
FACTORIZATION SYSTEM
FACTORIZATION SYSTEM
FACTORIZATION SYSTEM
FACTORIZATION SYSTEM
FACTORIZATION SYSTEM
n.
The doctrine of, or a treatise upon, systems.
n.
The act or process of systematizing; systematization.
p. pr. & vb. n.
of Systematize
p. pr. & vb. n.
of Systemize
n.
The reduction of facts or principles to a system.
a.
Being without system.
imp. & p. p.
of Systematize
a.
Not having any of the distinct systems or types of structure, as the radiate, articulate, etc., characteristic of organic nature; as, all unicellular organisms are systemless.
n.
One who forms a system, or reduces to system.
n.
The act or operation of systematizing.
adv.
In a systematic manner; methodically.
v. t.
To reduce to system or regular method; to arrange methodically; to methodize; as, to systematize a collection of plants or minerals; to systematize one's work; to systematize one's ideas.
a.
Not agreeing with some artificial system of classification.
n.
One who systemizes, or reduces to system; a systematizer.
n.
One who adheres to a system.
a.
Of or pertaining to the general system, or the body as a whole; as, systemic death, in distinction from local death; systemic circulation, in distinction from pulmonic circulation; systemic diseases.
imp. & p. p.
of Systemize
a.
Of or relating to a system; common to a system; as, the systemic circulation of the blood.
v. t.
To reduce to system; to systematize.
n.
One who systematizes.