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Logarithm to the base of the mathematical constant e
exponentiation: ln 1 = 0 , ln e = 1 , ln ( x y ) = ln x + ln y for x > 0 and y > 0 , ln ( x / y ) = ln x − ln y for x > 0 and y > 0 , ln ( x
Natural_logarithm
Topics referred to by the same term
Look up ln in Wiktionary, the free dictionary. LN, Ln or ln may refer to: Lawful Neutral, an alignment in Dungeons & Dragons The Sims 3: Late Night, the
LN
Probability distribution
is ln x. The information entropy is H ( X ) = E [ − ln p ( X ) ] = E [ − α ln β + ln Γ ( α ) − ( α − 1 ) ln X + β X ] = α − ln β + ln
Gamma_distribution
Approximation for factorials
function: ln n ! = ln 1 + ln 2 + ⋯ + ln n . {\displaystyle \ln n!=\ln 1+\ln 2+\cdots +\ln n.} The right-hand side of this equation minus 1 2 ( ln 1
Stirling's_approximation
Probability distribution
G X ) ( ln ( 1 − X ) − ln G 1 − X ) ] = E [ ( ln X − E [ ln X ] ) ( ln ( 1 − X ) − E [ ln ( 1 − X ) ] ) ] = E [ ln X ln ( 1 −
Beta_distribution
Shell command for creating a link file
ln is a shell command for creating a link file to an existing file or directory. By default, the command creates a hard link, but with the -s command line
Ln_(Unix)
Probability distribution
X [ ln X ≤ ln x ] = d d x Φ ( ln x − μ σ ) = φ ( ln x − μ σ ) d d x ( ln x − μ σ ) = φ ( ln x − μ σ ) 1 σ x = 1 x σ 2 π exp ( − ( ln x
Log-normal_distribution
Technique for the generative modeling of a continuous probability distribution
evolves according to ∂ t ln ρ t = 1 2 β ( t ) ( n + ( x + ∇ ln ρ t ) ⋅ ∇ ln ρ t + Δ ln ρ t ) {\displaystyle \partial _{t}\ln \rho _{t}={\frac {1}{2}}\beta
Diffusion_model
Mathematical constant
bases is obtained with the formula log b 2 = ln 2 ln b . {\displaystyle \log _{b}2={\frac {\ln 2}{\ln b}}.} The common logarithm in particular is (OEIS: A007524)
Natural_logarithm_of_2
Smoothed ramp function
{\displaystyle x} it is ln ( 1 + e x ) = ln ( 1 + ϵ ) ⪆ ln 1 = 0 {\displaystyle \ln(1+e^{x})=\ln(1+\epsilon )\gtrapprox \ln 1=0} , so just above 0
Softplus
Inverse functions of sin, cos, tan, etc.
\theta } . e ln ( c ) + i θ = a + i b ln c + i θ = ln ( a + i b ) θ = Im ( ln ( a + i b ) ) {\displaystyle {\begin{aligned}e^{\ln(c)+i\theta }&=a+ib\\\ln
Inverse trigonometric functions
Inverse_trigonometric_functions
Multivalued function in mathematics
≥ e: ln x − ln ln x + ln ln x 2 ln x ≤ W 0 ( x ) ≤ ln x − ln ln x + e e − 1 ln ln x ln x . {\displaystyle \ln x-\ln \ln x+{\frac
Lambert_W_function
Probability distribution
therefore: first quartile: ln(4/3)/λ median: ln(2)/λ third quartile: ln(4)/λ And as a consequence the interquartile range is ln(3)/λ. The conditional value
Exponential_distribution
Deep learning method
_{\text{ref}}}[\ln D(x)]+\inf _{x}\ln(1-D(x))} By Jensen's inequality, ln E x ∼ μ ref [ D ( x ) ] + inf x ln ( 1 − D ( x ) ) = ln E x ∼ μ ref
Generative adversarial network
Generative_adversarial_network
Mathematical function, denoted exp(x) or e^x
logarithm, ln {\displaystyle \ln } or log {\displaystyle \log } , converts products to sums: ln ( x ⋅ y ) = ln x + ln y {\displaystyle \ln(x\cdot
Exponential_function
Mathematical function
the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z ) . {\displaystyle \psi (z)={\frac {d}{dz}}\ln \Gamma (z)={\frac {\Gamma '(z)}{\Gamma
Digamma_function
Composite statistic of life expectancy, education, and income indices
(II) = ln ( GNIpc ) − ln ( 100 ) ln ( 75 , 000 ) − ln ( 100 ) = ln ( GNIpc ) − ln ( 100 ) ln ( 750 ) {\displaystyle ={\frac {\ln({\textrm
Human_Development_Index
British racing driver (born 1999)
"Lando Norris and OTK Kart Group launch LN Racing Kart". Kartcom. 29 September 2021. Retrieved 30 November 2024. "LN Four Is Born, Lando Norris' Kart Made
Lando_Norris
Mathematical function
− 6 ln ln n + 9 8 ( ln n ) 2 + O ( ( ln ln n ln n ) 3 ) ) . {\displaystyle \ln g(n)={\sqrt {n\ln n}}\left(1+{\frac {\ln \ln n-1}{2\ln n}}-{\frac
Landau's_function
ln ( ln ( n ) ) {\displaystyle \ln(\ln(n))} , since this latter number is small even for very large n {\displaystyle n} ; however, the ln ( ln
Hannan–Quinn information criterion
Hannan–Quinn_information_criterion
Temperature below which condensation occurs
ln ( R H 100 e ( b − T d ) ( T c + T ) ) ; T d = c ln P a ( T ) a b − ln P a ( T ) a = c ln
Dew_point
Formula for temperature dependence of rates of chemical reactions
, an equation from which ln k e 0 = ln k f − ln k b {\textstyle \ln k_{\text{e}}^{0}=\ln k_{\text{f}}-\ln k_{\text{b}}} naturally follows
Arrhenius_equation
Special arrangement of permanent magnets
) = 1 r ∂ ∂ r [ r ∂ ∂ r ( r ln r cos θ ) ] = cos θ r ∂ ∂ r [ r ( ln r + 1 ) ] = cos θ r ( ln r + 1 + 1 ) = ln r cos θ r + 2 cos θ r
Halbach_array
Probability of shared birthdays
ln 2 + 3 − 2 ln 2 6 + 9 − 4 ( ln 2 ) 2 72 2 d ln 2 ⌉ {\displaystyle n(d)=\left\lceil {\sqrt {2d\ln 2}}+{\frac {3-2\ln 2}{6}}+{\frac {9-4(\ln 2)^{2}}{72{\sqrt
Birthday_problem
Semiconductor resistance model
temperatures. The equation is 1 T = A + B ln R + C ( ln R ) 3 , {\displaystyle {\frac {1}{T}}=A+B\ln R+C(\ln R)^{3},} where T {\displaystyle T} is the
Steinhart–Hart_equation
Data structure for approximate set membership
ln 2 ) n m ) m n ln 2 = ( 1 2 ) m n ln 2 {\displaystyle \varepsilon =\left(1-e^{-({\frac {m}{n}}\ln 2){\frac {n}{m}}}\right)^{{\frac {m}{n}}\ln
Bloom_filter
Family of French naval dive-bombers
The Loire-Nieuport LN.40 aircraft were a family of French naval dive-bombers for the Aeronavale in the late 1930s, which saw service during World War II
Loire-Nieuport_LN.401
Audio companding in communications
as follows: F ( x ) = sgn ( x ) { A | x | 1 + ln ( A ) , | x | < 1 A , 1 + ln ( A | x | ) 1 + ln ( A ) , 1 A ≤ | x | ≤ 1 , {\displaystyle F(x)=\operatorname
A-law_algorithm
Mathematical function, inverse of an exponential function
... · n, is given by ln ( n ! ) = ln ( 1 ) + ln ( 2 ) + ⋯ + ln ( n ) . {\displaystyle \ln(n!)=\ln(1)+\ln(2)+\cdots +\ln(n).} This can be used
Logarithm
Special mathematical function
define μ = ln ( z ) {\displaystyle \mu =\ln(z)} where ln ( z ) {\displaystyle \ln(z)} is the principal branch of the complex logarithm Ln ( z ) {\displaystyle
Polylogarithm
Constant related to the efficiency of the Euclidean algorithm
relatively prime integers m < n, is 12 ln 2 π 2 ln n + o ( ln n ) . {\displaystyle {\frac {12\ln 2}{\pi ^{2}}}\ln n+o(\ln n).} Porter showed that the error
Porter's_constant
Mathematical rule for evaluating limits
1 − 1 ln x ) = lim x → 1 x ⋅ ln x − x + 1 ( x − 1 ) ⋅ ln x = H lim x → 1 ln x x − 1 x + ln x = lim x → 1 x ⋅ ln x x − 1 + x ⋅ ln x
L'Hôpital's_rule
Mathematical equation describing the motion of a rocket
is: Δ v = v e ln m 0 m f = I sp g 0 ln m 0 m f , {\displaystyle \Delta v=v_{\text{e}}\ln {\frac {m_{0}}{m_{f}}}=I_{\text{sp}}g_{0}\ln {\frac {m_{0}}{m_{f}}}
Tsiolkovsky_rocket_equation
Arithmetic operation
exp ( W ( ln x ) ) = ln x W ( ln x ) {\displaystyle \mathrm {ssrt} (x)=\exp(W(\ln x))={\frac {\ln x}{W(\ln x)}}} or x s = e W ( ln x ) {\displaystyle
Tetration
N-th root of the product of n numbers
ln a 1 a 2 ⋯ a n t n = 1 n ln ( a 1 a 2 ⋯ a n ) = 1 n ( ln a 1 + ln a 2 + ⋯ + ln a n ) . {\displaystyle \textstyle {\vphantom {\Big |}}\ln
Geometric_mean
Deep learning generative model to encode data representation
[clarification needed] ln q ϕ ( z | x ) = ln q 0 ( ϵ ) − ln | det ( ∂ ϵ z ) | {\displaystyle \ln q_{\phi }(z|x)=\ln q_{0}(\epsilon )-\ln |\det(\partial
Variational_autoencoder
Methods of estimating the doubling time of an investment
ln 2\\t\cdot \ln(1+r/100)&=\ln 2\\t&={\frac {\ln 2}{\ln(1+r/100)}}.\end{aligned}}} A simple rearrangement shows ln 2 ln ( 1 + r / 100 ) = ln 2
Rule_of_72
Continuous probability distribution
plot. The axes are ln ( − ln ( 1 − F ^ ( x ) ) ) {\displaystyle \ln(-\ln(1-{\widehat {F}}(x)))} versus ln ( x ) {\displaystyle \ln(x)} . The reason
Weibull_distribution
Probability distribution
− ln 1 p 2 − ln ln 1 p 2 − ln ( 2 π ) + o ( 1 ) . {\textstyle \Phi ^{-1}(p)=-{\sqrt {\ln {\frac {1}{p^{2}}}-\ln \ln {\frac {1}{p^{2}}}-\ln(2\pi
Normal_distribution
Property of a thermodynamic system
entropy is given by: Δ S = n R ln V V 0 = − n R ln P P 0 {\displaystyle \Delta S=nR\ln {\frac {V}{V_{0}}}=-nR\ln {\frac {P}{P_{0}}}} Here n {\textstyle
Entropy
Political party in Italy
Lega Nord (LN; English: Northern League), whose complete name is Lega Nord per l'Indipendenza della Padania (English: Northern League for the Independence
Lega_Nord
Mathematical constant in number theory
x d x = ln K 0 − 1 2 ln 2 − π 2 12 ln 2 {\displaystyle \int _{0}^{\pi }{\frac {\log _{2}(x|\cot x|)}{x}}dx=\ln K_{0}-{\frac {1}{2}}\ln 2-{\frac
Khinchin's_constant
Probability distribution modeling a coin toss which need not be fair
Log-Likelihood Function is: ln L ( p ; X ) = X ln p + ( 1 − X ) ln ( 1 − p ) {\displaystyle \ln L(p;X)=X\ln p+(1-X)\ln(1-p)} The Score Function (the
Bernoulli_distribution
Statistical model for a binary dependent variable
the two outcomes: ln Pr ( Y i = 0 ) = β 0 ⋅ X i − ln Z ln Pr ( Y i = 1 ) = β 1 ⋅ X i − ln Z {\displaystyle {\begin{aligned}\ln \Pr(Y_{i}=0)&={\boldsymbol
Logistic_regression
How many different types are in a dataset
′ = − [ ln ( p 1 p 1 ) + ln ( p 2 p 2 ) + ln ( p 3 p 3 ) + ⋯ + ln ( p R p R ) ] = − ln ( p 1 p 1 p 2 p 2 p 3 p 3 ⋯ p R p R ) = ln ( 1 p 1
Diversity_index
suffered from Raynare.[LN 10] As he progresses, he becomes a middle-rank devil,[LN 12] and acquires a familiar named Skithblathnir.[LN 13][LN 14] He later reaches
List of High School DxD characters
List_of_High_School_DxD_characters
gas: ( d ln P A d ln x A ) T , P = ( d ln P B d ln x B ) T , P {\displaystyle \left({\frac {\mathrm {d} \ln P_{A}}{\mathrm {d} \ln x_{A}}}\right)_{T
Duhem–Margules_equation
By the lemma, − ln q n = ln x + ln T x + ⋯ + ln T n − 1 x + δ {\displaystyle -\ln q_{n}=\ln x+\ln Tx+\dots +\ln T^{n-1}x+\delta } where | δ |
Lévy's_constant
Even integers as sums of two primes
ln m 1 ln ( n − m ) ≈ n 2 ( ln n ) 2 . {\displaystyle \sum _{m=3}^{\frac {n}{2}}{\frac {1}{\ln m}}{\frac {1}{\ln(n-m)}}\approx {\frac {n}{2(\ln
Goldbach's_conjecture
Economic formula of productivity
ln(K)+a_{M}\ln(M)+b_{LL}\ln ^{2}(L)+b_{KK}\ln ^{2}(K)+b_{MM}\ln ^{2}(M)\\&{}\qquad \qquad +b_{LK}\ln(L)\ln(K)+b_{LM}\ln(L)\ln(M)+b_{KM}\ln(K)\ln(M)\\&=f(L
Cobb–Douglas production function
Cobb–Douglas_production_function
Star in the constellation Andromeda
LN Andromedae (LN And), also known as HD 217811, HR 8768, is a formerly suspected variable star in the constellation Andromeda. Located approximately
LN_Andromedae
Topics referred to by the same term
"Penny Lane" is a song by the Beatles Penny Lane may also refer to: Penny Lane, Liverpool, England Penny Lane Mall, Calgary, Canada, 1973–2006 Penny Lane
Penny_Lane_(disambiguation)
Information-theoretic measure
i ln y ^ i + ( 1 − y i ) ln ( 1 − y ^ i ) ] . {\displaystyle L(\mathbf {w} )\equiv -\sum _{i=1}^{N}\left[y_{i}\ln {\hat {y}}_{i}+(1-y_{i})\ln(1-{\hat
Cross-entropy
Probability distribution
The log-likelihood function is: ln L ( p ; X ) = X ln ( 1 − p ) + ln p {\displaystyle \ln L(p;X)=X\ln(1-p)+\ln p} The score function (first derivative
Geometric_distribution
Function in statistics
logarithm of the odds, i.e.: logit ( p ) = − ln ( p 1 − p ) = ln ( p ) − ln ( 1 − p ) = − ln ( 1 p − 1 ) = 2 atanh ( 2 p − 1 ) . {\displaystyle
Logit
Class of reinforcement learning algorithms
we have E π θ [ ∇ θ ln π θ ( A j | S j ) | S i = s i ] = 0. {\displaystyle \mathbb {E} _{\pi _{\theta }}[\nabla _{\theta }\ln \pi _{\theta
Policy_gradient_method
Mathematical method in calculus
ln ( x ) d x {\displaystyle \int \ln(x)dx} . We write this as: I = ∫ ln ( x ) ⋅ 1 d x . {\displaystyle I=\int \ln(x)\cdot 1\,dx\,.} Let: u = ln
Integration_by_parts
Function in thermodynamics and statistical physics
respectively: k ln p i = k ln Ω B ( E − E i ) − k ln Ω ( S , B ) ( E ) ≈ − ∂ ( k ln Ω B ( E ) ) ∂ E E i + k ln Ω B ( E ) − k ln Ω ( S , B )
Partition function (statistical mechanics)
Partition_function_(statistical_mechanics)
Italian political party
Lega Nord (English: Northern League, LN). The LSP was established in December 2017 as the sister party of the LN, active in northern Italy, and as the
Lega_(political_party)
Complex exponential in terms of sine and cosine
of − 1 {\displaystyle {\sqrt {-1}}} ) as: i x = ln ( cos x + i sin x ) . {\displaystyle ix=\ln(\cos x+i\sin x).} Exponentiating this equation yields
Euler's_formula
Test for infinite series of monotonous terms for convergence
ln k ( x ) = { ln ( x ) for k = 1 , ln ( ln k − 1 ( x ) ) for k ≥ 2. {\displaystyle \ln _{k}(x)={\begin{cases}\ln(x)&{\text{for }}k=1,\\\ln(\ln
Integral_test_for_convergence
British politician
Major Lionel Nathan de Rothschild, OBE (25 January 1882 – 28 January 1942) was a British banker and Conservative politician best remembered as the creator
Lionel de Rothschild (born 1882)
Lionel_de_Rothschild_(born_1882)
Postcode area within the United Kingdom
Template:Attached KML/LN postcode area KML is from Wikidata The LN postcode area, also known as the Lincoln postcode area, is a group of thirteen postcode
LN_postcode_area
Method of mathematical differentiation
are ln ( a b ) = ln ( a ) + ln ( b ) , ln ( a b ) = ln ( a ) − ln ( b ) , ln ( a n ) = n ln ( a ) . {\displaystyle \ln(ab)=\ln(a)+\ln(b)
Logarithmic_differentiation
Mathematical statistics distance measure
{1}{25}}\left(32\ln 2+55\ln 3-50\ln 5\right)\\&\approx 0.0852996{\text{,}}\end{aligned}}} D KL ( Q ∥ P ) = ∑ x ∈ X Q ( x ) ln Q ( x ) P ( x ) = 1 3 ln 1 / 3
Kullback–Leibler_divergence
Arithmetic operation
have b x = ( e ln b ) x = e x ln b {\displaystyle b^{x}=\left(e^{\ln b}\right)^{x}=e^{x\ln b}} So, e x ln b {\displaystyle e^{x\ln b}} can be used
Exponentiation
Mathematical approximation of a function
f ( x ) = ln ( 1 + ( cos x − 1 ) ) , {\displaystyle f(x)={\ln }{\bigl (}1+(\cos x-1){\bigr )},} the composition of two functions x ↦ ln(1 + x) and
Taylor_series
Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n
2 ln 2 H 1 3 = 3 − π 2 3 − 3 2 ln 3 H 2 3 = 3 2 + π 2 3 − 3 2 ln 3 H 1 4 = 4 − π 2 − 3 ln 2 H 1 5 = 5 − π 2 1 + 2 5 − 5 4 ln 5 − 5 2 ln (
Harmonic_number
Mathematical constant
given in closed form as: K = π ( 2 ln 2 + 3 ln π + 2 γ − 4 ln Γ ( 1 4 ) ) = π ln ( 4 π 3 e 2 γ Γ ( 1 4 ) 4 ) = π ln ( π 2 e 2 γ 2 ϖ 2 ) = 2
Sierpiński's_constant
∫ ln x d x = x ln x − x + C = x ( ln x − 1 ) + C {\displaystyle \int \ln x\,dx=x\ln x-x+C=x(\ln x-1)+C} ∫ log a x d x = x log a x − x ln a
Lists_of_integrals
Mathematical constant
ln t − ∫ 0 μ d t ln t = ∫ μ x d t ln t , {\displaystyle \mathrm {li} (x)\;=\;\mathrm {li} (x)-\mathrm {li} (\mu )=\int _{0}^{x}{\frac {dt}{\ln t}}-\int
Ramanujan–Soldner_constant
Discrete probability distribution
function: ℓ ( λ ) = ln ∏ i = 1 n f ( k i ∣ λ ) = ∑ i = 1 n ln ( e − λ λ k i k i ! ) = − n λ + ( ∑ i = 1 n k i ) ln ( λ ) − ∑ i = 1 n ln ( k i ! ) . {\displaystyle
Poisson_distribution
Logarithm of a complex number
\theta } are real numbers with r > 0 {\displaystyle r>0} , then ln r + i θ {\displaystyle \ln r+i\theta } is one logarithm of z {\displaystyle z} , and all
Complex_logarithm
Prime differing from another prime by two
interpreted as a natural logarithm, also commonly written as ln ( x ) {\displaystyle \ln(x)} or log e ( x ) {\displaystyle \log _{e}(x)} . A twin prime
Twin_prime
Probabilistic classification algorithm
to a factor: ln p ( C k ∣ x 1 , … , x n ) = ln p ( C k ) + ∑ i = 1 n ln p ( x i ∣ C k ) − ln Z ⏟ irrelevant {\displaystyle \ln p(C_{k}\mid x_{1}
Naive_Bayes_classifier
Reference electrode whose potential depends on pH
ln K {\displaystyle E=E^{\ominus }-{\frac {RT}{zF}}\ln K} E = E ⊖ − R T 2 F ln p H 2 ( aH + ) 2 {\displaystyle E=E^{\ominus }-{\frac {RT}{2F}}\ln
Reversible_hydrogen_electrode
Unit of information
that event occurring is 1/e. One nat is equal to 1/ln 2 shannons ≈ 1.44 Sh or, equivalently, 1/ln 10 hartleys ≈ 0.434 Hart. Boulton and Wallace used
Nat_(unit)
Integrated circuit used for timer applications
high time is longer than the often-cited ln ( 2 ) R 1 C {\textstyle \ln(2)\,R_{1}\,C} to become: t high = ln ( 2 V CC − 3 V diode V CC − 3 V diode
555_timer_IC
character.LN 1.P He has average stats in crucial categories, but above-average intelligence and high luck, neither of which are important to adventurers.LN 1
List_of_KonoSuba_characters
Sierpiński–Menger type of fractal
) = ln 18 / ln 3 ≈ 2.630929 {\displaystyle d_{H}=\log _{3}(27-9)=\ln 18/\ln 3\approx 2.630929} and the heavier d H = log 3 ( 27 − 8 ) = ln 19
Mosely_snowflake
Special case of the polylogarithm
}^{2}}{18}}+\ln 2\cdot \ln 3-{\frac {(\ln 2)^{2}}{2}}-{\frac {(\ln 3)^{2}}{3}}.} Li 2 ( 1 4 ) + 1 3 Li 2 ( 1 9 ) = π 2 18 + 2 ln 2 ⋅ ln 3 − 2 ( ln 2
Dilogarithm
Time for exponential decay to remove half of a quantity
following way: t 1 / 2 = ln ( 2 ) λ = τ ln ( 2 ) {\displaystyle t_{1/2}={\frac {\ln(2)}{\lambda }}=\tau \ln(2)} where ln(2) is the natural logarithm
Half-life
American mathematician
fraction factoring algorithm ran in roughly e 2 ln n ln ln n {\displaystyle e^{\sqrt {2\ln {n}\ln {\ln {n}}}}} steps was an important milestone in factoring
Richard_Schroeppel
Mathematical methods used in Bayesian inference and machine learning
ln q τ ∗ ( τ ) = E μ [ ln p ( X ∣ μ , τ ) + ln p ( μ ∣ τ ) ] + ln p ( τ ) + constant = ( a 0 − 1 ) ln τ − b 0 τ + 1 2 ln τ + N 2 ln
Variational_Bayesian_methods
Form of alternating current
( V LN ∠ 0 ∘ ) − ( V LN ∠ − 120 ∘ ) = 3 V LN ∠ 30 ∘ = 3 V 1 ∠ ( ϕ V 1 + 30 ∘ ) , V 23 = V 2 − V 3 = ( V LN ∠ − 120 ∘ ) − ( V LN ∠ 120 ∘ ) = 3 V LN ∠ −
Three-phase_electric_power
Particular case of the generalized extreme value distribution
f(x)=e^{-(x+e^{-x})}.} In this case the mode is 0, the median is − ln ( ln ( 2 ) ) ≈ 0.3665 {\displaystyle -\ln(\ln(2))\approx 0.3665} , the mean is γ ≈ 0.5772 {\displaystyle
Gumbel_distribution
On the rate of convergence of the continued fraction expansion of a typical real number
follows: lim n → ∞ m n = 6 ln ( 2 ) ln ( 10 ) π 2 ≈ 0.97027014 {\displaystyle \lim _{n\to \infty }{\frac {m}{n}}={\frac {6\ln(2)\ln(10)}{\pi ^{2}}}\approx
Lochs's_theorem
Mathematical function
natural logarithm): N a p L o g ( x ) = − 10 7 ln ( x / 10 7 ) {\displaystyle \mathrm {NapLog} (x)=-10^{7}\ln(x/10^{7})} The Napierian logarithm satisfies
Napierian_logarithm
Type of activation function
approximated as: ln ( 1 + e x ) ≈ { ln 2 , x = 0 , x 1 − e − x / ln 2 , x ≠ 0 {\displaystyle \ln \left(1+e^{x}\right)\approx {\begin{cases}\ln 2,&x=0,\\[6pt]{\frac
Rectified_linear_unit
Equations for calculations of the Darcy friction factor
= ln 1.35 R e h − ln ln 1.35 R e h + ( ln ln 1.35 R e h ln 1.35 R e h ) + ( ln [ ln 1.35 R e h ] 2 − 2 ln ln 1.35 R e h 2 [ ln 1
Darcy friction factor formulae
Darcy_friction_factor_formulae
inorganic compound that contains a lanthanide (Ln), oxide, and halide (X). The simplest members have the formula LnOX. The three heavier member of this class
Lanthanide_oxyhalide
Influence on an oscillating physical system which reduces or prevents its oscillation
figure: δ = ln x 1 x 3 = ln x 2 x 4 = ln x 1 − x 2 x 3 − x 4 {\displaystyle \delta =\ln {\frac {x_{1}}{x_{3}}}=\ln {\frac {x_{2}}{x_{4}}}=\ln {\frac
Damping
Foundational principle in quantum physics
uncertainty relation is H x + H p > ln ( e 2 ) − ln ( δ x δ p h ) . {\displaystyle H_{x}+H_{p}>\ln \left({\frac {e}{2}}\right)-\ln \left({\frac {\delta x\delta
Uncertainty_principle
Method for generating pseudo-random numbers
variables as x − 2 ln ( s ) s , y − 2 ln ( s ) s , {\displaystyle x{\sqrt {\frac {-2\ln(s)}{s}}}\,,\ \ y{\sqrt {\frac {-2\ln(s)}{s}}},} or, equivalently
Marsaglia_polar_method
Mixture with a lower melting point than its constituents
∘ + R T ln a i a ≈ μ i ∘ + R T ln x i . {\displaystyle \mu _{i}=\mu _{i}^{\circ }+RT\ln {\frac {a_{i}}{a}}\approx \mu _{i}^{\circ }+RT\ln x_{i}.}
Eutectic_system
Type of entropy in quantum theory
( ρ ln ρ ) , {\displaystyle S=-\operatorname {tr} (\rho \ln \rho ),} where tr {\displaystyle \operatorname {tr} } denotes the trace and ln {\displaystyle
Von_Neumann_entropy
Indian businessman (born 1950)
Archived from the original on 14 November 2011. Retrieved 21 July 2014. "LN Mittal, Ratan Tata, Narayana Murthy get Padma Vibhushan". The Times of India
Lakshmi_Mittal
Physical law in electrochemistry
T z F ln K R T z F ln K = E ⊖ ln K = z F E ⊖ R T {\displaystyle {\begin{aligned}0&=E^{\ominus }-{\frac {RT}{zF}}\ln K\\{\frac {RT}{zF}}\ln K&=E^{\ominus
Nernst_equation
Antiderivative of the secant function
trigonometric identities, ∫ sec θ d θ = { 1 2 ln 1 + sin θ 1 − sin θ + C ln | sec θ + tan θ | + C ln | tan ( θ 2 + π 4 ) | + C {\displaystyle
Integral of the secant function
Integral_of_the_secant_function
Any file that contains a reference to another file or directory
and shortcut files (see § Alternatives for details). In a Unix-like OS, the ln shell command can create either a hard link (via the link() API function )
Symbolic_link
LN
LN
Surname or Lastname
English
English : habitational name from places called Olney in Buckinghamshire and Northamptonshire. The former is named in Old English as OllanÄ“g ‘island of a man called Olla’; the latter is from Old English Äna ‘one’, ‘single’, ‘solitary’ + lÄ“ah ‘wood’, ‘clearing’, with later metathesis of -nl- to -ln-.
Surname or Lastname
Irish
Irish : Anglicized form of Gaelic Ó Coileáin ‘descendant of Coileán’, a byname meaning ‘puppy’ or ‘young dog’.Irish : Anglicized form of Gaelic Ó Cuilinn ‘descendant of Cuileann’, a byname meaning ‘holly’.Scottish : habitational name from Cullen in Banff, so named from Gaelic cùilen, a diminutive of còil, cùil ‘nook’, ‘recess’.English : habitational name from the Rhineland city of Cologne (Old French form of Middle High German Köln, named with Latin colonia ‘colony’).English : variant of Cooling.
LN
LN
Male
Babylonian
, a ferryman.
Girl/Female
American, British, English
God is Gracious; Modern Name Based on Jane or Jean; Based on Janai
Girl/Female
Muslim
(Daughter of a scholar from baghdad)
Boy/Male
Indian
Great, Revered
Surname or Lastname
English (also Skeins)
English (also Skeins) : see Skeens.
Boy/Male
British, English
Form of Reed
Boy/Male
Hindu, Indian
Sail; Petty Trade
Girl/Female
Tamil
Colorful
Girl/Female
Australian, Swedish
From Magdala
Boy/Male
Hindu, Indian, Sanskrit
Cow-herder
LN
LN
LN
LN
LN