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Topics referred to by the same term
Look up non-zero or nonzero in Wiktionary, the free dictionary. Non-zero or nonzero may refer to: Non-zero dispersion-shifted fiber, a type of single-mode
Non-zero
Situation where total gains match total losses
called a strictly competitive game, while non-zero-sum games can be either competitive or non-competitive. Zero-sum games are most often solved with the
Zero-sum_game
Ring element that can be multiplied by a nonzero element to equal 0
zero divisor, is called regular or cancellable, or a non-zero-divisor. (N.B.: In "non-zero-divisor", the prefix "non-" is understood to modify "zero-divisor"
Zero_divisor
Special character in text processing
The zero-width space (rendered: ; HTML entity: ​ or ​), abbreviated ZWSP, is a non-printing character used in computerized typesetting
Zero-width_space
Measure for hazard from asteroid or comet impacts on Earth
near-Earth objects with Torino scale rankings that are non-zero or that were, at one time, non-zero. This means that they are, or were once, potentially
List of near-Earth potentially hazardous objects
List_of_near-Earth_potentially_hazardous_objects
Telecommunications coding technique
In telecommunications, a non-return-to-zero (NRZ) line code is a binary code in which ones are represented by one significant condition, usually a positive
Non-return-to-zero
2002 studio album by Planet Funk
Non Zero Sumness is the debut album released by Italian dance music group Planet Funk. First released on 3 March 2002 in the band's home country by Bustin'
Non_Zero_Sumness
Non-printing character that separates two normally joined characters
The zero-width non-joiner (ZWNJ, rendered: ; HTML entity: ‌ or ‌) is a non-printing character used in the computerization of writing systems
Zero-width_non-joiner
Differentiating positive and negative zero
Signed zero is zero with an associated sign. In ordinary arithmetic, the number 0 does not have a sign, and −0, +0 and 0 are three ways of writing the
Signed_zero
Speculative fiction short story
"Non-Zero Probabilities" is a speculative fiction short story by N. K. Jemisin, published in 2009 in Clarkesworld Magazine. The story features a semi-apocalyptic
Non-Zero_Probabilities
Cryptographic primitive
Non-interactive zero-knowledge proofs are cryptographic primitives, where information between a prover and a verifier can be authenticated by the prover
Non-interactive zero-knowledge proof
Non-interactive_zero-knowledge_proof
Class of mathematical expression
subtractions of zero will ever exhaust a non-zero dividend, calculating division by zero in this way never terminates. Such an interminable division-by-zero algorithm
Division_by_zero
Number property of being positive or negative
greater than zero. A number is negative if it is less than zero. A number is non-negative if it is greater than or equal to zero. A number is non-positive
Sign_(mathematics)
Quantum state with the lowest possible energy
may obtain non-vanishing vacuum expectation values by spontaneous symmetry breaking. In the Standard Model, the Higgs field acquires a non-zero expectation
Quantum_vacuum_state
Elementary particle involved with rest mass
particle's rest mass). But experiments showed the W and Z gauge bosons had non-zero (rest) mass. Further, many promising solutions seemed to require the existence
Higgs_boson
Matrix in which most of the elements are zero
that the number of non-zero elements is roughly equal to the number of rows or columns. By contrast, if most of the elements are non-zero, the matrix is considered
Sparse_matrix
Non-zero dispersion-shifted fiber (NZDSF), specified in ITU-T G.655, is a type of single-mode optical fiber which was designed to overcome the problems
Non-zero dispersion-shifted fiber
Non-zero_dispersion-shifted_fiber
Class of statistical models
part models the probability of the non-zero values. The use of hurdle models is often motivated by an excess of zeroes in the data that is not sufficiently
Hurdle_model
Matrix decomposition
^{*}} . The non-zero elements of Σ {\displaystyle \mathbf {\Sigma } } (non-zero singular values) are the square roots of the non-zero eigenvalues
Singular_value_decomposition
Digit of 0 before a number
Bond's famous identifier, 007, has two leading zeros. Any zeros appearing to the left of the first non-zero digit before the decimal point do not affect
Leading_zero
Multi-lobed plane curve
petals will not intersect each other when the angular frequency k is a non-zero integer; otherwise, petals intersect one another. All roses display one
Rose_(mathematics)
Property of a mathematical matrix
> 0 {\displaystyle \mathbf {x} ^{\mathsf {T}}M\mathbf {x} >0} for all non-zero x {\displaystyle \mathbf {x} } in R n . {\displaystyle \mathbb {R} ^{n}
Definite_matrix
Point where function's value is zero
polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number of roots at most equal to its degree, and that
Zero_of_a_function
Theorem in differential topology
coconut". Every zero of a vector field has a (non-zero) "index", and it can be shown that the sum of all of the indices at all of the zeros must be two,
Hairy_ball_theorem
Apparent paradox with Faraday's law of induction
be zero electromotive force (EMF) but there is a non-zero EMF. Faraday's law appears to predict that there will be a non-zero EMF but there is zero EMF
Faraday_paradox
Algorithm for encoding data bytes
used as a delimiter, the algorithm replaces each zero data byte with a non-zero value so that no zero data bytes will appear in the packet and thus be
Consistent Overhead Byte Stuffing
Consistent_Overhead_Byte_Stuffing
Mathematical property of algebraic structures
ordered fields, and local fields. An algebraic structure in which any two non-zero elements are comparable, in the sense that neither of them is infinitesimal
Archimedean_property
Natural number
and preceding 51. Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways. 50 is an unsigned Stirling number
50_(number)
Unsolved problem in number theory
Let f be a polynomial of degree d defined over a field K of characteristic zero. If f has a factor in common with each of its derivatives f (i), i = 1,
Casas-Alvero_conjecture
Expression which is not assigned an interpretation
by zero. This operation is undefined in arithmetic, and therefore deductions based on division by zero can be contradictory. If we assume that a non-zero
Undefined_(mathematics)
Ring without non-zero nilpotent elements
reduced ring if it has no non-zero nilpotent elements. Equivalently, a ring is reduced if it has no non-zero elements with square zero, that is, x2 = 0 implies
Reduced_ring
Rule in two-dimensional computer graphics
In two-dimensional computer graphics, the non-zero winding rule is a means of determining whether a given point falls within an enclosed curve. Unlike
Nonzero-rule
Square matrix without an inverse
kernel (null space) of A is non-trivial (has dimension ≥1), and the homogeneous system A x = 0 {\displaystyle Ax=0} admits non-zero solutions. These characterizations
Singular_matrix
Zero after the final non-zero digit of a number
trailing zeros in a non-zero base-b integer n equals the exponent of the highest power of b that divides n. For example, 14000 has three trailing zeros and
Trailing_zero
Topics referred to by the same term
Support (mathematics), subset of the domain of a function where it is non-zero valued Support (measure theory), a subset of a measurable space Supporting
Support
Point where the curvature of a curve changes sign
whether f'(x) is zero or nonzero. if f'(x) is zero, the point is a stationary point of inflection if f'(x) is not zero, the point is a non-stationary point
Inflection_point
Dimension of the column space of a matrix
equals the number of pivots (or basic columns) and also the number of non-zero rows. For example, the matrix A given by A = [ 1 2 1 − 2 − 3 1 3 5 0 ]
Rank_(linear_algebra)
ideal of a ring R is a non-zero right ideal which contains no other non-zero right ideal. Likewise, a minimal left ideal is a non-zero left ideal of R containing
Minimal_ideal
Law of physics
characterizing the system, such as pressure or applied magnetic field. At absolute zero (zero kelvin) the system must be in a state with the minimum possible energy
Third_law_of_thermodynamics
Whole number
rendering support, you may see question marks, boxes, or other symbols. 0 (zero, /ˈziː.roʊ/) is a number representing an empty quantity. Adding (or subtracting)
0
About polynomials in several variables
{\displaystyle n} -dimensional space to itself has a Jacobian determinant that is a non-zero constant, then the function has a polynomial inverse. The case n = 2 {\displaystyle
Jacobian_conjecture
Probability saying
measure theory. In probability experiments on a finite sample space with a non-zero probability for each outcome, there is no difference between almost surely
Almost_surely
Vectors whose linear combinations are nonzero
(alternatively, letting a i {\displaystyle a_{i}} be equal to any other non-zero scalar will also work) and then let all other scalars be 0 {\displaystyle
Linear_independence
Equation to derive time of sunset and sunrise
equation above neglects the influence of atmospheric refraction and the non-zero angle subtended by the solar disc — i.e. the apparent diameter of the sun
Sunrise_equation
Computer file containing no data
may have non-zero size. For example, a word processor document with no text, an image with zero-by-zero dimensions, or an audio sample of zero duration
Zero-byte_file
Quadratic form for which there is a non-zero vector on which the form evaluates to zero
a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero; otherwise, it is anisotropic. More explicitly, if
Isotropic_quadratic_form
Similarity measure for number sequences
data analysis, cosine similarity is a measure of similarity between two non-zero vectors defined in an inner product space. Cosine similarity is the cosine
Cosine_similarity
Denormalized floating-point numbers near zero
called denormals) that fill the underflow gap around zero in floating-point arithmetic. Any non-zero number with magnitude smaller than the smallest positive
Subnormal_number
Non zero one (formed 2009) are an artist collective formed of Sarah Butcher, Iván González, Cat Harrison, John Hunter, Fran Miller and Alex Turner. They
Non_zero_one
Algorithm in vector-based graphic software
configured to use the even–odd rule when drawing polygons, though it uses the non-zero rule by default. Below is a partial example implementation in Python, by
Even–odd_rule
Coordinate system used in projective geometry
algorithms. If homogeneous coordinates of a point are multiplied by a non-zero scalar then the resulting coordinates represent the same point. Since homogeneous
Homogeneous_coordinates
Integer
whose square is −1 is −i because there are exactly two square roots of any non‐zero complex number, which follows from the fundamental theorem of algebra.
−1
Matrix with non-zero elements only in a diagonal band
matrix is a sparse matrix whose non-zero entries are confined to a diagonal band, comprising the main diagonal and zero or more diagonals on either side
Band_matrix
Mathematical sequence of numbers
progression, also known as a geometric sequence, is a mathematical sequence of non-zero numbers where each term after the first is found by multiplying the previous
Geometric_progression
Concept in linear algebra
{\displaystyle v\mapsto (x\mapsto f(x,v))} has a non-trivial kernel, i.e. there exist some non-zero x {\displaystyle x} in V {\displaystyle V} such that
Degenerate_bilinear_form
Screw used as a linkage in a mechanism
loss is negligible and the above equation can be ignored. Efficiency for non-zero thread angles can be written as follows: η = cos α − μ tan λ cos
Leadscrew
Theorem in transcendental number theory
Weierstrass. Lindemann proved in 1882 that eα is transcendental for every non-zero algebraic number α, thereby establishing that π is transcendental (see
Lindemann–Weierstrass_theorem
Vector on which a quadratic form is zero
quadratic form q, written (X, q), a null vector or isotropic vector is a non-zero element x of X for which q(x) = 0. In the theory of real bilinear forms
Null_vector
Length in a vector space
metric from zero is not homogeneous in the non-zero point; indeed, the distance from zero remains one as its non-zero argument approaches zero. However,
Norm_(mathematics)
Module over a ring
module is a module over a ring such that zero is the only element annihilated by a regular element (non zero-divisor) of the ring. In other words, a module
Torsion-free_module
number is normalized when it is written in scientific notation with one non-zero decimal digit before the decimal point. Thus, a real number, when written
Normalized_number
Algebraic structure
finite field as roots. The non-zero elements of a finite field form a multiplicative group. This group is cyclic, so all non-zero elements can be expressed
Finite_field
Mathematical concept
to 0 if there are only a finite number of zero factors and the product of the non-zero factors is non-zero, but for simplicity we will not allow that
Infinite_product
Concept in algebraic geometry
the action. The zero vector forms an orbit by itself, and the non-zero multiples of any non-zero vector form an orbit, so that non-zero orbits are parametrized
Geometric_invariant_theory
Method of representing curves and surfaces in computer graphics
from zero to one on the interval where N i , n − 1 {\displaystyle N_{i,n-1}} is non-zero, while g i + 1 {\displaystyle g_{i+1}} falls from one to zero on
Non-uniform_rational_B-spline
Value for unrepresentable data
often ignored in applications) and the x sequence represents a non-zero number (the value zero encodes infinities). In practice, the most significant bit
NaN
Cosmological model in which the observable universe is the interior of a black hole
starting from a singularity, there is instead a non-singular Big Bounce, at which the Universe had a non-zero, minimum scale factor. In some such models,
Black_hole_cosmology
Type of integral domain
commutative ring in which the product of any two non-zero elements is non-zero) in which every non-zero non-unit element can be written as a product of irreducible
Unique_factorization_domain
Measure of similarity and diversity between sets
applications, this is often optimized for sparse vectors by iterating only over non-zero elements, which significantly reduces processing time for high-dimensional
Jaccard_index
In algebra, element without non-trivial factors
an integral domain is a non-zero element that is not invertible (that is, is not a unit), and is not the product of two non-invertible elements. The
Irreducible_element
Theorem in complex analysis
of three factors: terms depending on the function's zeros and poles, and an associated non-zero holomorphic function.[citation needed] It is clear that
Weierstrass factorization theorem
Weierstrass_factorization_theorem
Game of strategy
one object until the game ends. If the player leaves an even number of non-zero heaps (as the player would do in normal play), the player takes last; if
Nim
Vector of length one
sometimes used as a synonym for unit vector. The normalized vector û of a non-zero vector u is the unit vector in the direction of u, i.e., u ^ = u ‖ u ‖
Unit_vector
have any number of transmission zeroes at zero frequency and infinite frequency, but transmission zeroes at finite non-zero frequency always come in conjugate
Transmission_zeroes
Natural number
non-trivial normal magic square, called the Luoshu square. All integers n ≥ 34 {\displaystyle n\geq 34} can be expressed as the sum of five non-zero squares
5
Theory of continuous phase transitions
a phase transition; the order parameter is often zero above some critical temperature and non-zero below the critical temperature. In a simple ferromagnetic
Landau_theory
Mathematical concept
terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer
Degree_of_a_polynomial
Pulse-shaping filter in digital modulation
intersymbol interference (ISI). Its name stems from the fact that the non-zero portion of the frequency spectrum of its simplest form ( β = 1 {\displaystyle
Raised-cosine_filter
Absence of the sensation of weight
sensation of weight, i.e., zero apparent weight. It is also termed zero g-force, or zero-g (named after the g-force) or, misleadingly, zero gravity. Weight is
Weightlessness
strictly non-nested nor partially non-nested. The zero-inflated Poisson model and its non-zero-inflated counterpart are an example of such a pair of non-nested
Vuong's_closeness_test
Digit necessary to represent a quantity
equally likely to be 123.4 or 123.5. Zeros between two significant non-zero digits are significant (significant trapped zeros). 101.12003 consists of eight significant
Significant_figures
Class of pseudorandom number generators
struct { uint32_t a; } XorShift32State; // The state must be initialized to non-zero uint32_t xorshift32(XorShift32State* state) { // Algorithm "xor" from p
Xorshift
Special kind of square matrix
triangular matrix U if and only if all its leading principal minors are non-zero. A matrix of the form L = [ ℓ 1 , 1 0 ⋮ ℓ 2 , 1 ℓ 2 , 2 ⋮ ℓ 3 , 1 ℓ 3
Triangular_matrix
Type of signal in signal processing
corresponding to the zero-frequency component (essentially, the average of the w i {\displaystyle w_{i}} ) will also have a non-zero expected value μ n
White_noise
Two-terminal electrical device able to maintain a fixed voltage
as the original one alone. No real voltage source is ideal; all have a non-zero effective internal resistance, and none can supply unlimited current. However
Voltage_source
Representation of a quantum mechanical system
{\displaystyle H} . A pure state of a quantum system is represented by a non-zero vector ψ {\displaystyle \psi } in H {\displaystyle H} . The vectors ψ {\displaystyle
Bloch_sphere
\mathbb {Q} } ): Numbers that can be expressed as a ratio of an integer to a non-zero integer. All integers are rational, but there are rational numbers that
List_of_types_of_numbers
Extremely small quantity in calculus; thing so small that there is no way to measure it
In mathematics, an infinitesimal number is a non-zero quantity that is closer to 0 than any non-zero real number is. The word infinitesimal comes from
Infinitesimal
Operator in quantum field theory
by successive application of elements of the full Poincaré group to a non-zero element of S {\displaystyle S} and extending by linearity. The irreducible
Pauli–Lubanski_pseudovector
Computer vision geometry concept
the left and right hand sides are equal except for a multiplication by a non-zero scalar k ≠ 0 {\displaystyle k\neq 0} : y = k C x . {\displaystyle \mathbf
Camera_matrix
Kinematic prediction of quantum field theory for an accelerating observer
around), without any other contribution to its temperature, will record a non-zero temperature, just from its acceleration. Heuristically, for a uniformly
Unruh_effect
In mathematics, a non-algebraic number
real or complex number that is not algebraic: that is, not the root of a non-zero polynomial with integer (or, equivalently, rational) coefficients. The
Transcendental_number
American science fiction and fantasy writer
speculative fiction critique group. In 2009 and 2010, Jemisin's short story "Non-Zero Probabilities" was a finalist for the Nebula and Hugo Best Short Story
N._K._Jemisin
Book by Robert Wright
directed first and foremost by "non-zero-sumness" i.e., the prospect of creating new interactions that are not zero-sum. The principal argument of Nonzero
Nonzero: The Logic of Human Destiny
Nonzero:_The_Logic_of_Human_Destiny
Type of algebraic field extension
main obstacle for extending many theorems proved in characteristic zero to non-zero characteristic. For example, the fundamental theorem of Galois theory
Separable_extension
Type of mathematical expression
_{k=0}^{n}a_{k}x^{k}} That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of
Polynomial
Concept in mathematics
many possible solutions, and among these we seek the one with the fewest non-zeros. Put formally, we solve min α ∈ R p ‖ α ‖ 0 subject to x = D α , {\displaystyle
Sparse_approximation
Inputs for which a function's value is non-zero
the set of points in X {\displaystyle X} where f {\displaystyle f} is non-zero: supp ( f ) = { x ∈ X : f ( x ) ≠ 0 } . {\displaystyle \operatorname
Support_(mathematics)
Direct sum of simple Lie algebras
sum of simple Lie algebras. (A simple Lie algebra is a non-abelian Lie algebra without any non-zero proper ideals.) Throughout the article, unless otherwise
Semisimple_Lie_algebra
quantization, blocks are typically sparse (containing mostly zeros). The highest non-zero coefficients after zig-zag scan are often sequences of +/− 1
Context-adaptive variable-length coding
Context-adaptive_variable-length_coding
travel, tourism, insurance
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