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2.71828…, base of natural logarithms
The number e is a mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithm and exponential function. It is sometimes
E_(mathematical_constant)
Fixed number that has received a name
facilitate using it across multiple mathematical problems. Constants arise in many areas of mathematics, with constants such as e and π occurring in such diverse
Mathematical_constant
Invariant (mathematics) Glossary of mathematical symbols List of mathematical symbols by subject List of numbers List of physical constants Particular
List of mathematical constants
List_of_mathematical_constants
Function or value which does not change
number or other non-changing mathematical object, or the symbol denoting it. The terms mathematical constant or physical constant are sometimes used to distinguish
Constant_(mathematics)
Complex exponential in terms of sine and cosine
Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric
Euler's_formula
Mathematical equation linking e, i and π
the fundamental circle constant The number e (e = 2.71828...), also known as Euler's number, which occurs widely in mathematical analysis The number i
Euler's_identity
Constant equal to twice pi
The number τ (/ˈtaʊ, ˈtɔː, ˈtɒ/ ; spelled out as tau) is a mathematical constant that is the ratio of a circle's circumference to its radius. It is exactly
Tau_(mathematics)
Mathematical function, denoted exp(x) or e^x
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 other definitions
Exponential_function
Logarithm to the base of the mathematical constant e
natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately
Natural_logarithm
Hyperbolic analogues of trigonometric functions
i {\displaystyle \pi i} for hyperbolic tangent and cotangent). e (mathematical constant) Equal incircles theorem, based on sinh Hyperbolastic functions
Hyperbolic_functions
Permutation of the elements of a set in which no element appears in its original position
History of Mathematical Notations: Two volumes in one. Cosimo, Inc. p. 77. ISBN 9781616405717 – via Google. Graham, Ronald L.; Knuth, Donald E.; Patashnik
Derangement
The mathematical constant e can be represented in a variety of ways as a real number. Since e is an irrational number (see proof that e is irrational)
List_of_representations_of_e
Theorem in transcendental number theory
that proof. Baker, Alan (1990), Transcendental number theory, Cambridge Mathematical Library (2nd ed.), Cambridge University Press, ISBN 978-0-521-39791-9
Lindemann–Weierstrass_theorem
Mathematical problem involving optimal stopping theory
{\displaystyle k} is held constant while n → ∞ {\displaystyle n\to \infty } , then the probability of success converges to 1 e k {\displaystyle {\frac {1}{ek}}}
Secretary_problem
Constant e raised to the power of pi
In mathematics, the exponential of pi eπ, also called Gelfond's constant, is the real number e raised to the power π (i.e., the value of the exponential
Gelfond's_constant
Difference between logarithm and harmonic series
or log e ( x ) {\displaystyle \log _{e}(x)} . Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually
Euler's_constant
Topics referred to by the same term
Exponential constant may refer to: e (mathematical constant) The growth or decay constant in exponential growth or exponential decay, respectively. This
Exponential_constant
Mathematical constants related to chaotic behavior
In mathematics, specifically bifurcation theory, the Feigenbaum constants /ˈfaɪɡənbaʊm/ δ and α are two mathematical constants which both express ratios
Feigenbaum_constants
Physical constant in quantum mechanics
approximate mathematical function for the black-body spectrum, which gave a simple empirical formula for long wavelengths. Planck tried to find a mathematical expression
Planck_constant
Solution to x * e^x = 1
The omega constant is a mathematical constant defined as the unique real number that satisfies the equation Ω e Ω = 1. {\displaystyle \Omega e^{\Omega }=1
Omega_constant
Yukio (1987). "An elementary proof that e is irrational". The Mathematical Gazette. 71 (457). London: Mathematical Association: 217. doi:10.2307/3616765
Proof_that_e_is_irrational
Topics referred to by the same term
hangul, resembles Latin E e (mathematical constant), a mathematical constant also known as Euler's number and Napier's constant E notation, or scientific
E_(disambiguation)
Swiss mathematician (1655–1705)
the calculus of variations. He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability
Jacob_Bernoulli
Mathematical constant in number theory
In number theory, Khinchin's constant is a mathematical constant related to the simple continued fraction expansions of many real numbers. In particular
Khinchin's_constant
Time interval in science
to the reciprocal of the rate constant, k, i.e. t = 1/k. This would yield [ A ] f [ A ] i = e − k ( 1 k ) = e − 1 = 1 e ≈ 0.37 {\displaystyle {\frac {[{\rm
E-folding
Universal and unchanging physical quantity
mathematical constant, which has a fixed numerical value, but does not directly involve any physical measurement. There are many physical constants in
Physical_constant
Number, approximately 3.14
The number π (/paɪ/ ; spelled out as pi) is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to
Pi
Topics referred to by the same term
constant in Wiktionary, the free dictionary. Constant or The Constant may refer to: Constant (mathematics), a non-varying value Mathematical constant
Constant
Special constant related to the exponential integral
In mathematics, the Gompertz constant or Euler–Gompertz constant, denoted by δ {\displaystyle \delta } , appears in integral evaluations and as a value
Gompertz_constant
Unit of information
with 1 nat = 1. Systems of natural units that normalize the Boltzmann constant to 1 are effectively measuring thermodynamic entropy with the nat as unit
Nat_(unit)
Sum of the inverses of the positive cubes
Apéry's constant is a mathematical constant, defined as the infinite sum of the reciprocals of the cubes of the positive integers. In symbols, ζ ( 3 )
Apéry's_constant
Topics referred to by the same term
An E number is a food additive code. E number or E code may also refer to: e (mathematical constant), the base of the natural logarithm 14 (number), the
E_number_(disambiguation)
Ratio of the perimeter of Bernoulli's lemniscate to its diameter
In mathematics, the lemniscate constant ϖ is a transcendental mathematical constant that is the ratio of the perimeter of Bernoulli's lemniscate to its
Lemniscate_constant
Number, approximately 0.916
In mathematics, Catalan's constant G is the alternating sum of the reciprocals of the odd square numbers: G = ∑ n = 0 ∞ ( − 1 ) n ( 2 n + 1 ) 2 = 1 1
Catalan's_constant
Coincidence in mathematics
1000=10^{3}.} Some mathematical coincidences are used in engineering when one expression is taken as an approximation of another. A mathematical coincidence
Mathematical_coincidence
Time constant of an RC circuit
the mathematical constant e, where 63.2 % ≈ 1 − e − 1 {\displaystyle 63.2\%\approx 1{-}e^{-1}} and 36.8 % ≈ e − 1 {\displaystyle 36.8\%\approx e^{-1}}
RC_time_constant
System of symbolic representation
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling
Mathematical_notation
Physical constant for the strength of gravity induced by a mass
mathematically relatable to) the Einstein gravitational constant, denoted by lowercase kappa (κ). In Newton's law, it is the proportionality constant
Gravitational_constant
Symbol representing a mathematical object
In mathematics, a variable (from Latin variabilis 'changeable') is a symbol, typically a letter, that refers to an unspecified mathematical object. One
Variable_(mathematics)
Arclength Solid of revolution Shell integration Natural logarithm e (mathematical constant) Exponential function Hyperbolic angle Hyperbolic function Stirling's
List_of_calculus_topics
Symbols for constants, special functions
letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Dimensionless number that quantifies the strength of the electromagnetic interaction
fine-structure constant, also known as the Sommerfeld constant, commonly denoted by α (the Greek letter alpha), is a fundamental physical constant that quantifies
Fine-structure_constant
Mathematical constant
In mathematics, the Glaisher–Kinkelin constant or Glaisher's constant, typically denoted A, is a mathematical constant, related to special functions like
Glaisher–Kinkelin_constant
Mathematical constant
In mathematics, the Ramanujan–Soldner constant is a mathematical constant defined as the unique positive zero of the logarithmic integral function. It
Ramanujan–Soldner_constant
Mathematical constant
The Fransén–Robinson constant, sometimes denoted F, is the mathematical constant that represents the area between the graph of the reciprocal Gamma function
Fransén–Robinson_constant
Property of two varying quantities with a constant ratio
have a constant ratio. The ratio is called coefficient of proportionality (or proportionality constant) and its reciprocal is known as constant of normalization
Proportionality_(mathematics)
formulas. Commonly encountered mathematical objects include numbers, expressions, shapes, functions, and sets. Mathematical objects can be very complex;
Mathematical_object
Mathematical constant
In mathematical analysis and number theory, Somos' quadratic recurrence constant or simply Somos' constant is a constant defined as an expression of infinitely
Somos' quadratic recurrence constant
Somos'_quadratic_recurrence_constant
function Doubling time e-folding Elimination half-life Error exponent Euler's formula Euler's identity e (mathematical constant) Exponent Exponent bias
List_of_exponential_topics
such constants is also such a constant, such as the molar gas constant R {\displaystyle R} . List of mathematical constants Mathematical constant Physical
List_of_physical_constants
number Transcendental number e (mathematical constant) pi, list of topics related to pi Squaring the circle Proof that e is irrational Lindemann–Weierstrass
List_of_number_theory_topics
This is a list of physical and mathematical constants named after people. Eponymous constants and their influence on scientific citations have been discussed
List of scientific constants named after people
List_of_scientific_constants_named_after_people
Prime-generating mathematical constant
"Mills' Constant". Mathematical Constants. Cambridge University Press. pp. 130–133. ISBN 0-521-81805-2. Saito, Kota (2025). "Mills' constant is irrational"
Mills'_constant
Type of mathematical function
In mathematics, a constant function is a function whose (output) value is the same for every input value. As a real-valued function of a real-valued argument
Constant_function
Mathematical constant
In mathematics, the Golomb–Dickman constant, named after Solomon W. Golomb and Karl Dickman, is a mathematical constant, which arises in the theory of
Golomb–Dickman_constant
Mathematical constant
Bruijn–Newman constant, denoted by Λ {\displaystyle \Lambda } and named after Nicolaas Govert de Bruijn and Charles Michael Newman, is a mathematical constant defined
De_Bruijn–Newman_constant
Field of knowledge
Lists of mathematics topics Mathematical constant Mathematical sciences Mathematics and art Mathematics education Philosophy of mathematics Relationship
Mathematics
Indian mathematician (1887–1920)
contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered
Srinivasa_Ramanujan
21st episode of the 3rd season of Star Trek: Enterprise
featured deleted scenes from this episode. E (mathematical constant) "Production Report: All Squared Away on "E²"". Star Trek.com. February 17, 2004. Archived
E²
Two to the power of the square root of two
applications". In Felix E. Browder (ed.). Mathematical Developments Arising from Hilbert Problems. Proceedings of Symposia in Pure Mathematics. Vol. XXVIII.1.
Gelfond–Schneider_constant
Mathematical constant of numeral systems
In the mathematical theory of non-standard positional numeral systems, the Komornik–Loreti constant is a mathematical constant that represents the smallest
Komornik–Loreti_constant
Shape with same width in all directions
Lowry, H. V. (February 1950). "2109. Curves of constant diameter". Mathematical notes. The Mathematical Gazette. 34 (307): 43. doi:10.2307/3610879. JSTOR 3610879
Curve_of_constant_width
1897 proposed law to define squaring the circle
to square the circle. The bill implies incorrect values of the mathematical constant π, the ratio of the circumference of a circle to its diameter. The
Indiana_pi_bill
Constant of proportionality of prime number density
{\displaystyle \ln(x)} or log e ( x ) {\displaystyle \log _{e}(x)} . Legendre's constant is a mathematical constant occurring in a formula constructed
Legendre's_constant
their mathematical properties, many integers have cultural significance or are also notable for their use in computing and measurement. As mathematical properties
List_of_numbers
Mathematical constant
integer) are mostly unknown. List of sums of reciprocals List of mathematical constants Gosper, William R. (1974), Acceleration of Series, Artificial Intelligence
Reciprocal_Fibonacci_constant
Physical constant with no units
In physics, a dimensionless physical constant is a physical constant that is dimensionless, i.e. a pure number having no units attached and having a numerical
Dimensionless physical constant
Dimensionless_physical_constant
Mathematical expression using basic operations
In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers), variables, and the basic algebraic operations:
Algebraic_expression
Irrational number based on primes
The Copeland–Erdős constant is the concatenation of "0." with the base 10 representations of the prime numbers in order. Its value, using the modern definition
Copeland–Erdős_constant
Mathematical structures that allow quantum mechanics to be explained
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical
Mathematical formulation of quantum mechanics
Mathematical_formulation_of_quantum_mechanics
Annual mathematical celebration on March 14
Pi Day is an annual celebration of the mathematical constant π (pi) with events mostly in the United States. Pi Day is observed on March 14 (the 3rd month)
Pi_Day
Reasoning for mathematical statements
A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The
Mathematical_proof
Curved triangle with constant width
Steven R. (2003), "8.10 Reuleaux Triangle Constants" (PDF), Mathematical Constants, Encyclopedia of Mathematics and its Applications, Cambridge University
Reuleaux_triangle
Constants in the zeta function's Laurent series expansion
In mathematics, the Stieltjes constants are the numbers γ k {\displaystyle \gamma _{k}} that occur in the Laurent series expansion of the Riemann zeta
Stieltjes_constants
Form of entertainment in mathematics
game-like features or thinking, mathematical puzzles are sometimes also called mathematical games. Magic tricks based on mathematical principles can produce self-working
Recreational_mathematics
region of R3 are called triple integrals. e (mathematical constant) The number e is a mathematical constant that is the base of the natural logarithm:
Glossary_of_calculus
Third letter of the Greek alphabet
𝚪 MATHEMATICAL BOLD CAPITAL GAMMA U+1D6C4 𝛄 MATHEMATICAL BOLD SMALL GAMMA U+1D6E4 𝛤 MATHEMATICAL ITALIC CAPITAL GAMMA U+1D6FE 𝛾 MATHEMATICAL ITALIC
Gamma
Mathematical constant in conic sections
The universal parabolic constant is a mathematical constant. It is defined as the ratio, for any parabola, of the arc length of the parabolic segment
Universal_parabolic_constant
Twelfth letter of the Greek alphabet
U+1D6B3 𝚳 MATHEMATICAL BOLD CAPITAL MU U+1D6CD 𝛍 MATHEMATICAL BOLD SMALL MU U+1D6ED 𝛭 MATHEMATICAL ITALIC CAPITAL MU U+1D707 𝜇 MATHEMATICAL ITALIC SMALL
Mu_(letter)
Principal square root of minus 1
The imaginary unit, usually denoted by i, is a mathematical constant that is a solution to the quadratic equation x2 = −1, which is not solved by any
Imaginary_unit
In mathematics Lévy's constant (sometimes known as the Khinchin–Lévy constant) occurs in an expression for the asymptotic behaviour of the denominators
Lévy's_constant
The Hafner–Sarnak–McCurley constant is a mathematical constant representing the probability that the determinants of two randomly chosen square integer
Hafner–Sarnak–McCurley constant
Hafner–Sarnak–McCurley_constant
Absolute dielectric permittivity of free space
free space, the electric constant, or the distributed capacitance of the vacuum. It is an ideal (baseline) physical constant. Its CODATA value is: ε0 = 8
Vacuum_permittivity
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Mathematics concept
In mathematics, the Chvátal–Sankoff constants are mathematical constants that describe the lengths of longest common subsequences of random strings. Although
Chvátal–Sankoff_constants
of mathematical symbols List of mathematical uses of Latin letters Greek letters used in mathematics, science, and engineering Physical constant Physical
List of common physics notations
List_of_common_physics_notations
Mathematical constants
The Beraha constants are a series of mathematical constants by which the n th {\displaystyle n{\text{th}}} Beraha constant is given by B ( n ) = 2 + 2
Beraha_constants
Branch of mathematics
Calculus is the mathematical study of continuous change, and the principal precursor of modern mathematical analysis. Originally called infinitesimal
Calculus
Mathematical expression with disputed status
denoted as 00, is a mathematical expression with different interpretations depending on the context. In certain areas of mathematics, such as combinatorics
Zero_to_the_power_of_zero
Study of vector bundles, principal bundles, and fibre bundles
In mathematics, and especially differential geometry and mathematical physics, gauge theory is the general study of connections on vector bundles, principal
Gauge_theory_(mathematics)
Natural number
following 6173 and preceding 6175. It is a Kaprekar's Constant 6174 is a 7-smooth number, i.e., none of its prime factors is greater than 7. 6174 can
6174
Mathematical constant
In mathematics, the Favard constant (also called the Akhiezer–Krein–Favard constant) of order r {\displaystyle r} is defined as K r = 4 π ∑ k = 0 ∞ [ (
Favard_constant
Form of mathematical proof
used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion. Mathematical induction
Mathematical_induction
Branch of mathematics
branch of mathematics that studies algebraic structures and the operations they use. An algebraic structure is a non-empty set of mathematical objects,
Algebra
Conversion constant for amount of substance
In chemistry, the Avogadro constant, commonly denoted NA, is a conversion constant or ratio between an amount of substance and the number of particles
Avogadro_constant
Mathematical constant
American Mathematical Society. 22 (2): 356–360. doi:10.2307/2037055. JSTOR 2037055. Steven R. Finch, Mathematical Constants (Encyclopedia of Mathematics and
Niven's_constant
Application of mathematical and statistical methods in finance
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling
Mathematical_finance
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Mathematical symbols (+ and −)
The plus sign (+) and the minus sign (−) are mathematical symbols used to denote positive and negative functions, respectively. In addition, the symbol
Plus_and_minus_signs
Eighteenth letter of the Greek alphabet
𝚺 MATHEMATICAL BOLD CAPITAL SIGMA U+1D6D3 𝛓 MATHEMATICAL BOLD SMALL FINAL SIGMA U+1D6D4 𝛔 MATHEMATICAL BOLD SMALL SIGMA U+1D6F4 𝛴 MATHEMATICAL ITALIC
Sigma
E MATHEMATICAL-CONSTANT
E MATHEMATICAL-CONSTANT
Female
French
Feminine form of French unisex Esmé, ESMÉE means "esteemed, loved."
Male
French
French form of Latin Isaias, ISAÃE means "God is salvation."
Male
French
French form of Latin Timotheus, TIMOTHÉE means "to honor God."
Boy/Male
Australian, Vietnamese
Complete; Mathematics
Male
Slovene
Pet form of Slovene Jožef, JOŽE means "(God) shall add (another son)."Â
Girl/Female
Hindu
Mathematician
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Telugu
An Astrologer; Mathematician
Girl/Female
Gujarati, Hindu, Indian, Kannada, Telugu
Mathematician
Female
French
Feminine form of French André, ANDRÉE means "man; warrior."
Female
French
French form of Latin Dorothea, DOROTHÉE means "gift of God."
Female
French
Feminine form of French Honoré, HONORÉE means "honor, valor."
Female
French
French name, derived from the French word aimée, AIMÉE means "much loved."
Girl/Female
Tamil
Mathematician
Female
French
Pet form of French Estelle, ESTÉE means "star."
Female
French
French feminine form of Latin Josephus, JOSÉE means "(God) shall add (another son)."Â
Female
French
Feminine form of French Désiré, DÉSIRÉE means "desired."Â
Female
French
Feminine form of French Iréné, IRÉNÉE means "peaceful."
Female
French
French form of Latin Medea, MÉDÉE means "cunning."
Female
French
Feminine form of French Dieudonné, DIEUDONNÉE means "God-given."
Female
French
Feminine form of French René, RENÉE means "reborn."
E MATHEMATICAL-CONSTANT
E MATHEMATICAL-CONSTANT
Girl/Female
Australian, British, English, Greek
Form of Alexander; Helper and Defender of Mankind
Boy/Male
Armenian, Australian
James; Jacob
Girl/Female
British, English
Gift of God's Favor; Blend of Ann and Janet
Boy/Male
Muslim
Helper of God, One who helps, Assister, Friend, One who scatters, Exposer, Announcer, Protector, Supporter
Girl/Female
Welsh
Meek.
Boy/Male
Hindu
One with a bow in hand
Girl/Female
Muslim
Gentle, Kind, Pleasant, Friendly
Boy/Male
Hindu, Indian, Tamil
Lord Indra
Boy/Male
Indian
Who has Won Lord Indra; Brave
Girl/Female
American, Australian, British, Chinese, Christian, Czechoslovakian, Danish, Dutch, English, French, German, Greek, Italian, Jamaican, Latin, Polish, Portuguese, Romanian, Shakespearean, Spanish, Swedish, Swiss
Dark and Rich; Woman from Hadria
E MATHEMATICAL-CONSTANT
E MATHEMATICAL-CONSTANT
E MATHEMATICAL-CONSTANT
E MATHEMATICAL-CONSTANT
E MATHEMATICAL-CONSTANT
n.
That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
n.
See Elevator, n. (e).
a.
Of or pertaining to mathematical calculations; performing or able to perform mathematical calculations.
a.
See Mathematical.
e
(imp.) of Wit
a.
Of or pertaining to mathematics; according to mathematics; hence, theoretically precise; accurate; as, mathematical geography; mathematical instruments; mathematical exactness.
n.
Learning; especially, mathematics.
a.
Alt. of Anathematical
pl.
of Notopodium
a.
Lower by a semitone; flat; as, E molle, that is, E flat.
n.
One versed in mathematics.
a.
Pertaining to, or having the nature of, an anathema.
v. t.
To liken; to compa/e.
superl.
Possessing a characteristic quality in a supreme or superior degree; as, high (i. e., intense) heat; high (i. e., full or quite) noon; high (i. e., rich or spicy) seasoning; high (i. e., complete) pleasure; high (i. e., deep or vivid) color; high (i. e., extensive, thorough) scholarship, etc.
n.
Mixed mathematics.
e. i.
To cut with a grating sound; to cut; to penetrate or pierce harshly; as, the griding sword.
e. t.
To make cool.
n.
Any lineal or mathematical diagram; an outline.