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In graph theory, the shortness exponent is a numerical parameter of a family of graphs that measures how far from Hamiltonian the graphs in the family
Shortness_exponent
Arithmetic operation
denoted bn, is an operation involving two numbers: the base, b, and the exponent or power, n. When n is a positive integer, exponentiation corresponds to
Exponentiation
Graph made from vertices and edges of a convex polyhedron
strongly, there exists a constant α < 1 {\displaystyle \alpha <1} (the shortness exponent) and an infinite family of polyhedral graphs such that the length
Polyhedral_graph
Rate of separation of infinitesimally close trajectories
In mathematics, the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the exponential rate of
Lyapunov_exponent
Measure of the long-range dependence of a time series
The Hurst exponent is used as a measure of long-term memory of time series. It relates to the autocorrelations of the time series, and the rate at which
Hurst_exponent
Concise notation for large or small numbers
always written as a terminating decimal). The integer n is called the exponent and the real number m is called the significand or mantissa. The term "mantissa"
Scientific_notation
Newspaper in Virginia, U.S.
the Culpeper Exponent. In 1953, the Exponent merged with its archrival, The Virginia Star (founded in 1919), to create the Star-Exponent. Angus’ brother
Culpeper_Star-Exponent
Polytope made by turning a polytope's facets into pyramids
tetrahedron, then its longest path has length O(nlog3 2); that is, the shortness exponent of these graphs is log3 2, approximately 0.630930. The same technique
Kleetope
Standard defining codes for currencies
ISO 4217 is a standard published by the International Organization for Standardization (ISO) that defines alpha codes and numeric codes for the representation
ISO_4217
Parameter describing physics near critical points
Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal
Critical_exponent
Path in a graph that visits each vertex exactly once
pancyclicity and Hamiltonian-connectedness Seven Bridges of Königsberg Shortness exponent, a numerical measure of how far from Hamiltonian the graphs in a family
Hamiltonian_path
New Zealand rock group, formerly known as The Dance Exponents
The Exponents, formerly The Dance Exponents, is a New Zealand rock group led by vocalist and songwriter Jordan Luck. Their major hits are "Victoria",
The_Exponents
American company
Exponent, Inc. is an American engineering and scientific consulting firm. Exponent has a team of scientists, physicians, engineers, and business consultants
Exponent,_Inc.
Floating-point number format used in computer processors
approximate dynamic range of 32-bit floating-point numbers by retaining 8 exponent bits, but supports only an 8-bit precision rather than the 24-bit significand
Bfloat16 floating-point format
Bfloat16_floating-point_format
American business, technology, and media analyst
podcasts Sharp Tech with Andrew Sharp, Dithering with John Gruber and Exponent with James Allworth, respectively. Thompson's undergraduate education was
Ben_Thompson_(analyst)
Offset of the exponent field of floating-point numbers
numbers, the exponent is biased in the engineering sense of the word – the value stored is offset from the actual value by the exponent bias, also called
Exponent_bias
Result in elementary number theory
In elementary number theory, the lifting-the-exponent lemma provides several formulas for computing the p-adic valuation ν p {\displaystyle \nu _{p}} of
Lifting-the-exponent_lemma
Mathematical parameter
The Angstrom exponent or Ångström exponent is a parameter that describes how the optical thickness of an aerosol typically depends on the wavelength of
Angstrom_exponent
Relative weight based on mass and height
triponderal mass index (TMI), uses an exponent of 3 rather than 2. The corpulence index yields valid results even for very short and very tall people, which is
Body_mass_index
Method of exchanging cryptographic keys
P.C.; Wiener, M.J. (1996). "On Diffie-Hellman Key Agreement with Short Exponents". Advances in Cryptology — EUROCRYPT '96. Lecture Notes in Computer
Diffie–Hellman_key_exchange
Function that quantifies how near a number is to being rational
irrationality exponent 1, while (as a consequence of Dirichlet's approximation theorem) every irrational number has irrationality exponent at least 2. On
Irrationality_measure
1967 mathematics textbook
Hirsch conjecture, longest paths and Hamiltonian cycles, and the shortness exponent of polytopes. Chapter 18 studies arrangements of hyperplanes and their
Convex_Polytopes
17th-century conjecture proved by Andrew Wiles in 1994
able to extend the proof to cover all prime exponents up to four million, but a proof for all exponents was considered exceedingly difficult or unachievable
Fermat's_Last_Theorem
32-bit computer number format
negative. The exponent field is an 8-bit unsigned integer from 0 to 255, in biased form: a value of 127 represents the actual exponent zero. Exponents range from
Single-precision floating-point format
Single-precision_floating-point_format
Mathematical expression with disputed status
simplifies many formulas and ensures consistency in operations involving exponents. For instance, defining 00 = 1 aligns with the interpretation of choosing
Zero_to_the_power_of_zero
Math. 41, 35-41, 1982. Owens, P. J. "Bipartite Cubic Graphs and a Shortness Exponent." Discrete Math. 44, 327-330, 1983. Ellingham, M. N. "Non-Hamiltonian
Horton_graph
1016/0012-365X(82)90079-6. Owens, P. J. (1983), "Bipartite cubic graphs and a shortness exponent", Discrete Mathematics, 44 (3): 327–330, doi:10.1016/0012-365X(83)90201-7
Ellingham–Horton_graph
Mathematical parameter in percolation theory
critical exponents, which describe the fractal properties of the percolating medium at large scales and sufficiently close to the transition. The exponents are
Percolation critical exponents
Percolation_critical_exponents
Computer approximation for real numbers
five digits: 2469 / 200 = 12.345 = 12345 ⏟ significand × 10 ⏟ base − 3 ⏞ exponent {\displaystyle 2469/200=12.345=\!\underbrace {12345} _{\text{significand}}\
Floating-point_arithmetic
Mormon women's periodical and retreat
Exponent II is a quarterly periodical that publishes essays, poetry, and art created by women and gender minorities on the Latter-day Saint spectrum. Exponent
Exponent_II
Algorithm for fast exponentiation
}}n{\text{ is even}}.\end{cases}}} If the exponent n is zero, then the answer is 1. If the exponent is negative then we can reuse the previous formula
Exponentiation_by_squaring
Newspaper in Philadelphia, Pennsylvania
The Jewish Exponent is a weekly newspaper of the Jewish community of Philadelphia, Pennsylvania and the second-oldest continuously published Jewish newspaper
The_Jewish_Exponent
Function in mathematical number theory
holds for every integer a coprime to n. In algebraic terms, λ(n) is the exponent of the multiplicative group of integers modulo n. As this is a finite abelian
Carmichael_function
Defunct Philippine television production company
Television and Production Exponents, Incorporated (also known as TAPE, Inc. or simply TAPE) was a Philippine television production company. It was founded
TAPE_Inc.
Topics referred to by the same term
up Exponent, exponent, ^, exponentiate, or to the power of in Wiktionary, the free dictionary. Exponentiation is a mathematical operation. Exponent may
Exponent_(disambiguation)
Ten raised to an integer power
name or written out as digits, but instead are typically described with exponent notation. The sequence of powers of ten can also be extended to negative
Power_of_10
This is a list of the Sangeet Natak Akademi awards for the Indian classical dance form of Kathak, as well as gurus and well-known performers. Shambhu Maharaj
List_of_Kathak_dancers
Phonological manifestation of a morphosyntactic property
An exponent is a phonological manifestation of a morphosyntactic property. In non-technical language, it is the expression of one or more grammatical properties
Exponent_(linguistics)
64-bit computer number format
The exponent field is an 11-bit unsigned integer from 0 to 2047, in biased form: an exponent value of 1023 represents the actual zero. Exponents range
Double-precision floating-point format
Double-precision_floating-point_format
Algorithm for public-key cryptography
applications in attacking RSA specifically if the public exponent e is small and if the encrypted message is short and not padded. 65537 is a commonly used value
RSA_cryptosystem
Different meanings for numbers
2×1010), or its engineering notation variant (for example 12×109, where the exponent–here 9–is a multiple of 3), or the computing variant E notation (for example
Long_and_short_scales
Branch of ordinary differential equations
real parts of the Floquet exponents are Lyapunov exponents. The zero solution is asymptotically stable if all Floquet exponents have negative real part
Floquet_theory
Generalised alphabetical order
3 x 4 x 5 2 {\displaystyle x_{1}x_{2}^{3}x_{4}x_{5}^{2}} ) with their exponent vectors (here [1, 3, 0, 1, 2]). If n is the number of variables, every
Lexicographic_order
Performing order of mathematical operations
expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence
Order_of_operations
American politician (born 1979)
2015). "Freitas to challenge Scott for delegate nomination". Culpeper Star-Exponent. Archived from the original on May 23, 2018. Retrieved February 16, 2016
Nick_Freitas
Thermodynamic quantity
is denoted by γ (gamma) for an ideal gas or κ (kappa), the isentropic exponent for a real gas. The symbol γ is used by aerospace and chemical engineers
Heat_capacity_ratio
American author and public speaker (born 1945)
Champion, Allison (November 2, 2008). "Not afraid of change". Culpeper Star-Exponent. Retrieved November 30, 2025. Mahmoody, Betty; Hoffer, William (1987).
Betty_Mahmoody
Weekly newspaper in the Central Valley of California
Fresno County and Tulare County, California. It was known as the Reedley Exponent until July, 2019, when it merged with the Dinuba Sentinel and the Sanger
Mid_Valley_Times
Prime number of the form 2^n – 1
that n should be prime. The smallest composite Mersenne number with prime exponent n is 211 − 1 = 2047 = 23 × 89. Mersenne primes were studied in antiquity
Mersenne_prime
Measurement in material science
The strain hardening exponent (also called the strain hardening index), usually denoted n {\displaystyle n} , is a measured parameter that quantifies the
Strain_hardening_exponent
IEEE standard for floating-point arithmetic
followed by w exponent bits that describe the exponent offset by a bias, and p − 1 bits that describe the significand. The width of the exponent field for
IEEE_754
Number representation
the HFP format has a longer significand, and a shorter exponent. All HFP formats have 7 bits of exponent with a bias of 64. The normalized range of representable
IBM hexadecimal floating-point
IBM_hexadecimal_floating-point
Indian scholar
Ganapaadigal Balakrishna Sastrigal (1919–2003) was a Hindu scholar and harikatha exponent. TS Balakrishna Sastrigal was born in 1919 in the town of Madras now known
T._S._Balakrishna_Sastrigal
Topics referred to by the same term
In mathematics, characteristic exponent may refer to: Characteristic exponent of a field, a number equal to 1 if the field has characteristic 0, and equal
Characteristic_exponent
Exponential function of an exponential function
nearest integer the values of a double exponential function with middle exponent 2. Ionaşcu and Stănică describe some more general sufficient conditions
Double_exponential_function
Theory of economy and sociology
results. The Austrian economist Friedrich Hayek is the best known modern exponent of the idea, borrowing from the Scottish Enlightenment Philosopher Adam
Spontaneous_order
Method in computer arithmetic
(the non-exponent part of the floating-point number) to a single exponent, rather than a single significand being assigned its own exponent. BFP can be
Block_floating_point
Concept in computing
In information theory, the error exponent of a channel code or source code over the block length of the code is the rate at which the error probability
Error_exponent
American animator, director and writer (born 1961)
Purdue student newspaper, the Purdue Exponent. Prior to his graduation from Purdue in December 1986, the Exponent published "Loco Motives: Boilercoaster
Bob_Peterson_(filmmaker)
Soft redirect to Wiktionary
(decimal exponent)", but its sister project Wiktionary does: Read the Wiktionary entry " dex #English " You can also: Search for Dex (decimal exponent) in
Dex_(decimal_exponent)
Philippine-based online gambling platform
games. It was launched in 2022 by a subsidiary of DigiPlus, AB Leisure Exponent Inc. and features a wide selection of online gambling games, such as traditional
BingoPlus
American actress (born 1951)
(April 16, 2019). "Didi Conn Talks 'Middletown,' Bar Mitzvahs". Jewish Exponent. Archived from the original on December 17, 2021. Retrieved December 17
Didi_Conn
Version of scientific notation
(also technical notation) is a version of scientific notation in which the exponent of ten is always selected to be divisible by three to match the common
Engineering_notation
Algebraic structure
In algebra, a field K {\displaystyle K} is perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over K {\displaystyle
Perfect_field
Independent student newspaper at Purdue University
The Purdue Exponent is an independent student newspaper that serves Purdue University in West Lafayette, Indiana. It is published on Mondays and Thursdays
Purdue_Exponent
Functional relationship between two quantities
in the other quantity proportional to the change raised to a constant exponent: one quantity varies as a power of another. The change is independent of
Power_law
Mathematical expression using basic operations
Likewise when the exponent (power) is one, (e.g. 3 x 1 {\displaystyle 3x^{1}} is written 3 x {\displaystyle 3x} ), and, when the exponent is zero, the result
Algebraic_expression
Collection of models with the same renormalization group flow limit
scale is approached. In particular, asymptotic phenomena such as critical exponents are the same for all models in the class. Well-studied examples include
Universality_class
Mathematical function, inverse of an exponential function
In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the
Logarithm
16-bit computer number format
Hitachi's HD61810 DSP of 1982 (a 4-bit exponent and a 12-bit mantissa), the top 16 bits of a 32-bit float (8 exponent and 7 mantissa bits) called a bfloat16
Half-precision floating-point format
Half-precision_floating-point_format
Class of cryptographic attacks
the Coppersmith method for attacking RSA include cases when the public exponent e is small or when partial knowledge of a prime factor of the secret key
Coppersmith's_attack
Dessert manufacturing company
Foods for £32.5 million. In June 2021, Gü was sold to private equity firm Exponent for an undisclosed sum. The company's products include ramekin, sharing
Gü
Interaction potential
modeling. Typically, the attractive exponent is chosen to be m = 6 {\textstyle m=6} , whereas the repulsive exponent is used as an adjustable parameter
Mie_potential
Partial results found before the complete proof
Andrew Wiles in 1995. The statement of the theorem involves an integer exponent n larger than 2. In the centuries following the initial statement of the
Proof of Fermat's Last Theorem for specific exponents
Proof_of_Fermat's_Last_Theorem_for_specific_exponents
Timescale of dynamical systems
Lyapunov. It is defined as the inverse of a system's largest Lyapunov exponent. The Lyapunov time mirrors the limits of the predictability of the system
Lyapunov_time
Oorschot, M. J. Wiener. (May 1996). "On Diffie–Hellman key agreement with short exponents". Proceedings of the 15th annual international conference on Theory
Small subgroup confinement attack
Small_subgroup_confinement_attack
American actor (born 1940)
is 81. "Philadelphia Rings a Bell FOR 'First Wives Club' Actor". Jewish Exponent. Philadelphia. October 3, 1996. Archived from the original on October 25
Dan_Hedaya
Mathematical function, denoted exp(x) or e^x
expression. It is called exponential because its argument can be seen as an exponent to which a constant number e ≈ 2.718, the base, is raised. There are several
Exponential_function
Matrix operation generalizing exponentiation of scalar numbers
this one-parameter subgroup. More generally, for a generic t-dependent exponent, X(t), d d t e X ( t ) = ∫ 0 1 e α X ( t ) d X ( t ) d t e ( 1 − α ) X
Matrix_exponential
Public university in West Lafayette and Indianapolis, Indiana, US
from the original on April 26, 2012. Retrieved May 2, 2013. "Exponent Website". exponent. November 28, 2001. Archived from the original on May 10, 2017
Purdue_University
Distinguished surfaces of dynamic trajectories
stretching tends to grow rapidly, it is more convenient to work with its growth exponent ( log δ t 0 t 1 ) / ( t 1 − t 0 ) {\displaystyle (\log {\delta
Lagrangian_coherent_structure
Group in which each element has finite order
periodic group is a group in which every element has finite order. The exponent of such a group, if it exists, is the least common multiple of the orders
Torsion_group
Smallest integer n for which n equals 0 in a ring
considered separately. The characteristic may also be taken to be the exponent of the ring's additive group, that is, the smallest positive integer n
Characteristic_(algebra)
Weekly newspaper published in Brooklyn, Michigan
The Brooklyn Exponent is a weekly newspaper serving the communities in and around Brooklyn, Michigan and the Irish hills, Michigan. The paper also covers
The_Brooklyn_Exponent
Latter-Day Saint journal (1872–1914)
The Woman's Exponent was a semi-official publication of the Church of Jesus Christ of Latter-day Saints that began in 1872. It published articles advocating
Woman's_Exponent
Bengali singer
Jayati Chakraborty is a Bengali Indian exponent of Rabindra Sangeet and Bengali songs. She has worked as a playback singer in Bengali cinema. She has released
Jayati_Chakraborty
Numbering format in Nvidia hardware
implemented in the Ampere architecture. TensorFloat-32 combines the 8-bit exponent size of IEEE single precision with the 10-bit mantissa size of half precision
TensorFloat-32
Daily broadsheet newspaper serving Clarksburg, West Virginia
The Exponent Telegram is a daily newspaper serving Clarksburg, West Virginia and the surrounding community. It has a daily print circulation of about 14
The_Exponent_Telegram
Floating-point number format by Microsoft
in 32 bits (4 bytes), with a 23-bit mantissa, 1-bit sign, and an 8-bit exponent. Extended (12k) BASIC included a double-precision type with 64 bits. During
Microsoft_Binary_Format
Special function defined by an integral
In mathematics, the exponential integral Ei {\displaystyle \operatorname {Ei} } is a special function on the complex plane. It is defined as one particular
Exponential_integral
2005 greatest hits album by The Exponents
& Agriculture: The Very Best of The Exponents is a greatest hits collection by the New Zealand band The Exponents, released in November 2005. This two
Sex and Agriculture: The Very Best of The Exponents
Sex_and_Agriculture:_The_Very_Best_of_The_Exponents
Relationship between the electrical conductivity of a rock and its porosity
is the cementation exponent of the rock (usually in the range 1.8–2.0 for sandstones) n {\displaystyle n} is the saturation exponent (usually close to
Archie's_law
Indian classical musician
erstwhile Royal Family of Travancore. He is a Carnatic vocalist as well as an exponent of the Saraswati Veena. Rama Varma was born on 13 August 1968 and is a
Aswathi_Thirunal_Rama_Varma
Random process independent of past history
or exponent, of a regular matrix, is the smallest k {\displaystyle k} such that all entries of M k {\displaystyle M^{k}} are positive. The exponent is
Markov_chain
Dimensionality of space at which the character of the phase transition changes
no phase transition. Above the upper critical dimension the critical exponents of the theory become the same as that in mean field theory. An elegant
Critical_dimension
Type of continuity of a complex-valued function
two metric spaces. The number α {\displaystyle \alpha } is called the exponent of the Hölder condition. A function on an interval satisfying the condition
Hölder_condition
Polynomial function with logarithm terms
quasi-polynomial time. All polylogarithmic functions of n are o(nε) for every exponent ε > 0 (for the meaning of this symbol, see small o notation), that is,
Polylogarithmic_function
German political journalist (1906–1975)
was a German political journalist. During the 1920s, he was a prominent exponent of National Bolshevism. During the 1930s, he became a member of the anti-Nazi
Karl_Otto_Paetel
Approximate power law relating animal metabolic rate to mass
the energy the mouse uses. It is presently unclear if the value of the exponent in Kleiber's law is correct, in part because the law currently lacks a
Kleiber's_law
Classical music vocal traditional singing style
Bade Ghulam Ali Khan is generally acknowledged to be the most influential exponent of the Patiala gharana, while Ustad Amanat Ali Khan is widely considered
Patiala_gharana
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