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See searches and references containing CLASS KAPPA-ELL-FUNCTION!CLASS KAPPA-ELL-FUNCTION
s ) {\displaystyle \beta (r,s)} belongs to class kappa; for each fixed r {\displaystyle r} , the function β ( r , s ) {\displaystyle \beta (r,s)} is decreasing
Class_kappa-ell_function
{\mathcal {K}}_{\infty }} ) it means that the function is radially unbounded. Class kappa-ell function H. K. Khalil, Nonlinear systems, Prentice-Hall
Class_kappa_function
Function spaces generalizing finite-dimensional p norm spaces
{\displaystyle \ell ^{p}} or L p ( [ 0 , 1 ] ) , {\displaystyle L^{p}([0,1]),} every open convex set containing the 0 {\displaystyle 0} function is unbounded
Lp_space
System for rating game players
\ell ={\begin{cases}-\log \sigma (r_{\mathsf {A,B}};\kappa )&{\textrm {if}}~{\mathsf {A}}~{\textrm {wins}},\\-\log \sigma (-r_{\mathsf {A,B}};\kappa )&{\textrm
Elo_rating_system
Monte Carlo distribution shifting technique
θ ) = log M X ( θ ) {\displaystyle \kappa (\theta )=\log M_{X}(\theta )} be the cumulant-generating function (CGF). The exponentially tilted measure
Exponential_tilting
Study of oscillations in stars
is a sharply decreasing function of temperature. This opacity bump can drive oscillations through the κ {\displaystyle \kappa } -mechanism (or Eddington
Asteroseismology
Set of methods for supervised statistical learning
approximation is usually defined with the help of a loss function, ℓ ( y , z ) {\displaystyle \ell (y,z)} , which characterizes how bad z {\displaystyle
Support_vector_machine
Method of estimating the parameters of a statistical model, given observations
logarithm of the likelihood function, called the log-likelihood: ℓ ( θ ; y ) = ln L n ( θ ; y ) . {\displaystyle \ell (\theta \,;\mathbf {y} )=\ln
Maximum_likelihood_estimation
Statistical model for a binary dependent variable
{\hat {\ell }}} . In the case of simple binary logistic regression, the set of K data points are fitted in a probabilistic sense to a function of the form:
Logistic_regression
Class of statistical survival models
The partial score function is ℓ ′ ( β ) = ∑ i : C i = 1 ( X i − ∑ j : Y j ≥ Y i θ j X j ∑ j : Y j ≥ Y i θ j ) , {\displaystyle \ell ^{\prime }(\beta )=\sum
Proportional_hazards_model
Mathematical description of quantum state
the wave function can be separated into functions of each coordinate, Ψ n ℓ m ( r , θ , ϕ ) = R ( r ) Y ℓ m ( θ , ϕ ) {\displaystyle \Psi _{n\ell m}(r,\theta
Wave_function
Vector space of infinite sequences
^{q}\to (\ell ^{p})^{*}.} The map ℓ q → κ q ( ℓ p ) ∗ → ( κ q ∗ ) − 1 ( ℓ q ) ∗ ∗ {\displaystyle \ell ^{q}\xrightarrow {\kappa _{q}} (\ell ^{p})^{*}\xrightarrow
Sequence_space
Person learning the English language
English-language learner (often abbreviated as ELL) is a term used in some English-speaking countries such as the United States and Canada to describe
English-language_learner
Measure of variation in statistics
{erf} } is the error function. The proportion that is less than or equal to a number, x, is given by the cumulative distribution function: Proportion ≤ x =
Standard_deviation
Measure of a substance's ability to resist or conduct electric current
{\frac {\ell }{A}}} R = ρ ℓ A ⇔ ρ = R A ℓ , {\displaystyle {\begin{aligned}R&=\rho {\frac {\ell }{A}}\\[3pt]{}\Leftrightarrow \rho &=R{\frac {A}{\ell }},\end{aligned}}}
Electrical resistivity and conductivity
Electrical_resistivity_and_conductivity
Candidate unified theory of physics
function ℓ κ {\displaystyle \ell _{\kappa }} defined by ℓ κ ( x ) := ∫ M ( L κ ( x , y ) + κ | x y | 2 ) d ρ ( y ) − s {\displaystyle \ell _{\kappa }(x):=\int
Causal_fermion_systems
Matrix with exactly one 1 per row and column
i {\displaystyle \ell _{i}} , and let L i {\displaystyle L_{i}} be the set of complex solutions of x ℓ i = 1 {\displaystyle x^{\ell _{i}}=1} , those solutions
Permutation_matrix
Probability distribution
function ℓ ( r , p ) = ∑ i = 1 N [ ln Γ ( k i + r ) − ln ( k i ! ) + k i ln ( 1 − p ) ] + N [ r ln p − ln Γ ( r ) ] . {\displaystyle \ell (r
Negative binomial distribution
Negative_binomial_distribution
Discrete probability distribution
ln ( λ ) − ∑ i = 1 n ln ( k i ! ) . {\displaystyle {\begin{aligned}\ell (\lambda )&=\ln \prod _{i=1}^{n}f(k_{i}\mid \lambda )\\&=\sum _{i=1}^{n}\ln
Poisson_distribution
Concept in general relativity and quantum field theory
= k B A 4 ℓ P 2 , {\displaystyle S_{\text{BH}}={\frac {k_{\text{B}}A}{4{\ell _{\text{P}}}^{2}}},} where A {\displaystyle A} is the area of the event horizon
Black_hole_thermodynamics
p {\displaystyle p} . κ k {\displaystyle \kappa _{k}} is the k {\displaystyle k} th Mumford's kappa class. The coefficients t ^ a , k {\displaystyle
Topological_recursion
Statistical model for count data
log-likelihood, − ℓ ( θ ∣ X , Y ) {\displaystyle -\ell (\theta \mid X,Y)} , is a convex function, and so standard convex optimization techniques such
Poisson_regression
Generalization of the one-dimensional normal distribution to higher dimensions
^{k\times \ell }{\text{ such that }}\mathbf {X} ={\boldsymbol {A}}\mathbf {Z} +{\boldsymbol {\mu }}{\text{ and }}\forall n=1,\ldots ,\ell :Z_{n}\sim \
Multivariate normal distribution
Multivariate_normal_distribution
Study of curves from a differential point of view
injective. It is analytic if each component function of γ is an analytic function, that is, it is of class Cω. The curve γ is regular of order m (where
Differentiable_curve
Type of group in abstract algebra
{\displaystyle S_{a_{1}}\times \cdots \times S_{a_{\ell }}} where ( a 1 , … , a ℓ ) {\displaystyle (a_{1},\ldots ,a_{\ell })} is an integer partition of n. These
Symmetric_group
Statistical property
. {\displaystyle \ \ell (x)={\frac {f_{\theta _{1}}(x)}{\ f_{\theta _{0}}(x)\ }}~.} If ℓ ( x ) {\displaystyle \ \ell (x)\ } is monotone non-decreasing
Monotone_likelihood_ratio
Condition in which the value of a measurement or observation is only partially known
{\displaystyle \ell (\lambda )=\log(L(\lambda ))=k\log(\lambda )-\lambda \sum _{i}u_{i}.} Then d ℓ d λ = k λ − ∑ i u i . {\displaystyle {\frac {d\ell }{d\lambda
Censoring_(statistics)
Statistical method
family of functions. Processes of interest are those with bounded sample paths, i.e., sample paths in L-infinity ( ℓ ∞ ( T ) {\displaystyle \ell ^{\infty
Bootstrapping_(statistics)
Statistical method
{\begin{matrix}z_{1,i}&=&\ell _{1,1}F_{1,i}&+&\ell _{1,2}F_{2,i}&+&\varepsilon _{1,i}\\\vdots &&\vdots &&\vdots &&\vdots \\z_{10,i}&=&\ell _{10,1}F_{1,i}&+&\ell _{10,2}F_{2
Factor_analysis
Smooth manifold with an inner product on each tangent space
g i ℓ g j k − g i k g j ℓ ) . {\displaystyle R_{ijk\ell }=\kappa (g_{i\ell }g_{jk}-g_{ik}g_{j\ell }).} This implies that the Ricci curvature is given
Riemannian_manifold
Method of data analysis
D_{k\ell }=\lambda _{k}\qquad {\text{for }}k=\ell } is the jth eigenvalue of the covariance matrix C, and D k ℓ = 0 for k ≠ ℓ . {\displaystyle D_{k\ell }=0\qquad
Principal_component_analysis
Measurement of graph sparsity
{\displaystyle \kappa } for which there exists an ordering of the vertices of G {\displaystyle G} in which each vertex has fewer than κ {\displaystyle \kappa } neighbors
Degeneracy_(graph_theory)
Concept in statistics
probability density function or probability mass function from some statistical distribution which has a log-likelihood ℓ {\displaystyle \ell } , first derivatives
Vector generalized linear model
Vector_generalized_linear_model
Exact spherically symmetric solution in GR
outer trapped horizon ( θ ( ℓ ) = 0 , θ ( n ) < 0 {\displaystyle \theta _{(\ell )}=0\;,\theta _{(n)}<0} ). Suppose F ~ := 1 − 2 M ( v ) r {\displaystyle
Vaidya_metric
Receptor activated by peptide hormone GLP-1
diabres.2004.02.004. PMID 15364163. Jorgensen R, Martini L, Schwartz TW, Elling CE (March 2005). "Characterization of glucagon-like peptide-1 receptor beta-arrestin
Glucagon-like peptide-1 receptor
Glucagon-like_peptide-1_receptor
Technique in mathematical group theory
cohomology groups H c 1 ( X , Q ℓ ) {\displaystyle H_{c}^{1}(X,\mathbb {Q} _{\ell })} of the affine curve X defined by x y q − y x q = 1 {\displaystyle xy^{q}-yx^{q}=1}
Deligne–Lusztig_theory
Nonparametric test of the null hypothesis
than two classes: M = 1 c ( c − 1 ) ∑ A U C k , ℓ {\displaystyle M={1 \over c(c-1)}\sum \mathrm {AUC} _{k,\ell }} Where c is the number of classes, and the
Mann–Whitney_U_test
Study of dimension in algebraic geometry
1 ) t n {\displaystyle F(t)=\sum _{0}^{\infty }\ell (I^{n}/I^{n+1})t^{n}} where ℓ {\displaystyle \ell } refers to the length of a module (over an Artinian
Dimension_theory_(algebra)
= c k ℓ i j . {\displaystyle c_{ijk\ell }=c_{jik\ell }~,~~c_{ijk\ell }=c_{ij\ell k}~,~~c_{ijk\ell }=c_{k\ell ij}~.} Because of the above symmetries
Orthotropic_material
Plane curve
semi-latus rectum ℓ {\displaystyle \ell } . A calculation shows: ℓ = b 2 a = a ( 1 − e 2 ) . {\displaystyle \ell ={\frac {b^{2}}{a}}=a\left(1-e^{2}\right)
Ellipse
Transport of dissolved species from the highest to the lowest concentration region
{\displaystyle \ell } is the mean free path, and vT is the mean thermal speed: ℓ = k B T 2 π d 2 P , v T = 8 k B T π m . {\displaystyle \ell ={\frac {k_{\rm
Diffusion
Hypothetical quantum cosmological effect
m {\displaystyle \ell ,m} is given by d Γ = σ ω , ℓ , m e ℏ ω k B T ± 1 d ω {\displaystyle d\Gamma ={\frac {\sigma _{\omega ,\ell ,m}}{e^{\frac {\hbar
Hawking_radiation
Omicron subvariant of SARS-CoV-2
CNN. Retrieved 26 November 2025. T. Ryan Gregory; Yaneer Bar-Yam; Ulrich Elling; Daniele Focosi; Federico Gueli; Ryan Hisner; et al. (13 February 2023)
BA.3.2
Protein-coding gene in the species Homo sapiens
1016/S0006-291X(02)00703-9. PMID 12150975. Holst B, Holliday ND, Bach A, Elling CE, Cox HM, Schwartz TW (December 2004). "Common structural basis for constitutive
Neurotensin_receptor_2
Concept in general relativity
with respect to the NP tetrad ℓ → = ∂ u − H / 2 ∂ v {\displaystyle {\vec {\ell }}=\partial _{u}-H/2\,\partial _{v}} n → = ∂ v {\displaystyle {\vec {n}}=\partial
Pp-wave_spacetime
i ) | q | 4 q . {\displaystyle \partial _{t}q=(d_{r}+id_{i})\,\Delta q+\ell _{r}q+(c_{r}+ic_{i})|q|^{2}q+(q_{r}+iq_{i})|q|^{4}q.} To understand the mechanisms
Dissipative_soliton
Hypothetical topological feature of spacetime
θ 2 + sin 2 θ d φ 2 ) , {\displaystyle ds^{2}=-c^{2}\,dt^{2}+d\ell ^{2}+(k^{2}+\ell ^{2})(d\theta ^{2}+\sin ^{2}\theta \,d\varphi ^{2}),} first presented
Wormhole
Means of studying the interaction of light and matter
_{\text{eff}}}}}{\frac {n}{2\ell }}\quad (n=1,2,3,\ldots )\qquad \lambda /4:\quad \nu _{n}={\frac {c}{\sqrt {\varepsilon _{\text{eff}}}}}{\frac {2n+1}{4\ell }}\quad (n=0
Circuit quantum electrodynamics
Circuit_quantum_electrodynamics
Mathematics of smooth surfaces
ℓ ( γ ) = ∫ a b 2 | γ ′ ( t ) | d t 1 − | γ ( t ) | 2 . {\displaystyle \ell (\gamma )=\int _{a}^{b}{2|\gamma ^{\prime }(t)|\,dt \over 1-|\gamma (t)|^{2}}
Differential geometry of surfaces
Differential_geometry_of_surfaces
Mammalian protein found in humans
CCNG1, CREBBP, CREB1, Cyclin H, CDK7, DNA-PKcs, E4F1, EFEMP2, EIF2AK2, ELL, EP300, ERCC6, GNL3, GPS2, GSK3B, HSP90AA1, HIF1A, HIPK1, HIPK2, HMGB1, HSPA9
P53
Omicron subvariant of SARS-CoV-2
CNN. Retrieved 26 November 2025. T. Ryan Gregory; Yaneer Bar-Yam; Ulrich Elling; Daniele Focosi; Federico Gueli; Ryan Hisner; et al. (13 February 2023)
BA.2.86
Macroscopic processes showing quantum behavior
→ ⋅ d ℓ → = − V {\displaystyle \int {\vec {E}}\cdot \mathrm {d} {\vec {\ell }}=-V} and Eq. (26), with q = −2e and m = 2me, gives Eq. (29). Fig. 5 shows
Macroscopic_quantum_phenomena
Early development of young writers
skills across different subjects. Research on English language learners (ELLs) also shows that students benefit from instruction that gives more support
Elementary_writing
Historic building in Virginia, US
height to the cornice. The northern wing projected from the rear to form an ell. Its external dimensions were to a double-square plan at 64 ft (20 m) long
Wren_Building
CLASS KAPPA-ELL-FUNCTION
CLASS KAPPA-ELL-FUNCTION
Surname or Lastname
German and Dutch
German and Dutch : metonymic occupational name for a dealer in cloth or a tailor, from Middle High German, Middle Low German el(l)e ‘yardstick’, ‘length of the lower arm’.German : from a short form, Edilo, from any of various Germanic personal names composed with adal ‘noble family’.English : from the female personal name Ela, a reduced form of Elena and possibly also of Eleanor.
Boy/Male
Hindu, Indian, Kannada, Marathi, Sanskrit, Telugu
Able; Fit
Female
Finnish
 Pet form of Finnish Eleonoora, ELLI means "foreign; the other." Compare with another form of Elli.
Female
German
 Pet form of German Elisabeth, ELLI means "God is my oath." Compare with another form of Elli.
Female
English
English short form of Latin Cassandra, CASS means "she who entangles men."Â
Surname or Lastname
English and German
English and German : metonymic occupational name for a glazier or glass blower, from Old English glæs ‘glass’ (akin to Glad, referring originally to the bright shine of the material), Middle High German glas.Irish and Scottish : Anglicized form of the epithet glas ‘gray’, ‘green’, ‘blue’ or any of various Gaelic surnames derived from it.German : altered form of the personal name Klass, a reduced form of Nikolaus (see Nicholas).Jewish (Ashkenazic) : ornamental name from German Glass ‘glass’, or a metonymic occupational name for a glazier or glass blower.
Boy/Male
Hindu, Indian
Attitude
Surname or Lastname
English
English : from the medieval personal name Classe, a short form of Nicholas. See also Clayson.Variant of Klaas or Klass, North German forms of Claus.
Boy/Male
English, Hindu, Indian
All Pervasive
Girl/Female
Gujarati, Indian
Meaningful
Surname or Lastname
English
English : from the medieval female personal name Cass, a short form of Cassandra. This was the name (of uncertain, possibly non-Greek, origin) of an ill-fated Trojan prophetess of classical legend, condemned to foretell the future but never be believed; her story was well known and widely popular in medieval England.
Female
Polish
 Pet form of Polish Elżbieta, ELA means "God is my oath." Compare with another form of Ela.
Girl/Female
Hindu, Indian
Father; Daddy
Male
English
Middle English form of Anglo-Saxon Ælla, ELLA means "all, universal." Compare with feminine Ella.
Girl/Female
Gujarati, Hindu, Indian
Thought; Able; Fit
Boy/Male
Christian & English(British/American/Australian)
The Highest
Female
Hebrew
 Variant spelling of Hebrew Eila, ELA means "oak tree, terebinth tree." Compare with another form of Ela.
Boy/Male
Indian, Sanskrit
Universal Father
Male
German
Short form of German Niclaus, CLAUS means "victor of the people."Â
Female
English
Pet form of English Eleanor, ELLA means "foreign; the other." Compare with masculine Ella.
CLASS KAPPA-ELL-FUNCTION
CLASS KAPPA-ELL-FUNCTION
Girl/Female
Indian
Pleasant, Wonderful, Happy or full of laughter
Boy/Male
African
Consolation.
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Righteous; Truthful; Pious
Boy/Male
Bengali, Hindu, Indian, Marathi
Glorious; Beauty; Shining; Lustre
Girl/Female
Tamil
Goddess of bliss
Female
Hebrew
Ashkenazic form of Hebrew Batya, BASYA means "daughter of God."
Boy/Male
Tamil
To win others hearts
Girl/Female
Indian, Telugu
Characteristics; Character
Girl/Female
Indian
Completing the work, Finish
Surname or Lastname
English
English : habitational name from a place in Oxfordshire named Crowell, from Old English crÄwe ‘crow’ + well(a) ‘spring’, ‘stream’.
CLASS KAPPA-ELL-FUNCTION
CLASS KAPPA-ELL-FUNCTION
CLASS KAPPA-ELL-FUNCTION
CLASS KAPPA-ELL-FUNCTION
CLASS KAPPA-ELL-FUNCTION
a.
The whole quantity, extent, duration, amount, quality, or degree of; the whole; the whole number of; any whatever; every; as, all the wheat; all the land; all the year; all the strength; all happiness; all abundance; loss of all power; beyond all doubt; you will see us all (or all of us).
v. t.
To cover or furnish with glass; to glaze.
v. t.
A looking-glass; a mirror.
v. t.
To case in glass.
v. t.
An optical glass; a lens; a spyglass; -- in the plural, spectacles; as, a pair of glasses; he wears glasses.
n.
A group of individuals ranked together as possessing common characteristics; as, the different classes of society; the educated class; the lower classes.
n.
A measure for cloth; -- now rarely used. It is of different lengths in different countries; the English ell being 45 inches, the Dutch or Flemish ell 27, the Scotch about 37.
n.
One of the Brahmanic eons, a period of 4,320,000,000 years. At the end of each Kalpa the world is annihilated.
n.
The literati, or well educated class.
n.
To divide into classes, as students; to form into, or place in, a class or classes.
n. pl.
A class of Mollusca including all those that have bivalve shells, as the clams, oysters, mussels, etc.
v. t.
To shut or fasten together with, or as with, a clasp; to shut or fasten (a clasp, or that which fastens with a clasp).
v. t.
Anything made of glass.
v. t.
Variant of Clasp
v. t.
To smooth or polish anything, as leater, by rubbing it with a glass burnisher.
a.
Of the best class; of the highest rank; in the first division; of the best quality; first-rate; as, a first-class telescope.
n.
One of the sections into which a church or congregation is divided, and which is under the supervision of a class leader.
n.
To arrange in classes; to classify or refer to some class; as, to class words or passages.
a.
Of the rank or degree below the best highest; inferior; second-rate; as, a second-class house; a second-class passage.