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Theorem of probability theory
Stein's lemma, named in honor of Charles Stein, is a theorem of probability theory that is of interest primarily because of its applications to statistical
Stein's_lemma
The Cotlar–Stein almost orthogonality lemma is a mathematical lemma in the field of functional analysis. It may be used to obtain information on the operator
Cotlar–Stein_lemma
Abhyankar's lemma Fundamental lemma (Langlands program) Five lemma Horseshoe lemma Nine lemma Short five lemma Snake lemma Splitting lemma Yoneda lemma Matrix
List_of_lemmas
American mathematician (1931–2018)
theorem in Fourier analysis, the Kunze–Stein phenomenon in convolution on semisimple groups, the Cotlar–Stein lemma concerning the sum of almost orthogonal
Elias_M._Stein
Method in probability theory
distribution }}Q.} We call such an operator the Stein operator. For the standard normal distribution, Stein's lemma yields such an operator: ( 2.2 ) E ( f ′
Stein's_method
Phenomenon in decision theory and estimation theory
h}{\partial x_{i}}}(\mathbf {X} )\right].} (This result is known as Stein's lemma.) Now, we choose h ( x ) = x i | x | 2 . {\displaystyle h(\mathbf {x}
Stein's_example
American statistician
Stein Photograph of Stein Another photograph James–Stein estimator Stein's lemma Stein's method Stein's unbiased risk estimate Stein's loss Stein discrepancy
Charles_M._Stein
Theorem in probability theory
The Borel–Cantelli lemma is a result in measure theory. It is often stated in the context of probability theory, where it is used to study whether, in
Borel–Cantelli_lemma
Mathematical condition
In mathematics, the Poincaré lemma gives a sufficient condition for a closed differential form to be exact (while an exact form is necessarily closed)
Poincaré_lemma
Analysis theorem
In mathematics, the Calderón–Zygmund lemma is a fundamental result in Fourier analysis, harmonic analysis, and singular integrals. It is named for the
Calderón–Zygmund_lemma
Theorem in probability theory
(\partial _{X_{i}}f(X_{1},\ldots ,X_{n})).} This is a generalization of Stein's lemma. The Wick's probability formula can be recovered by induction, considering
Isserlis's_theorem
Measure of distinguishability between two quantum states
operational interpretation in quantum hypothesis testing. The quantum Stein lemma identifies it as the optimal asymptotic exponent of the type-II error
Quantum_relative_entropy
Every graph has evenly many odd vertices
In graph theory, the handshaking lemma is the statement that, in every finite undirected graph, the number of vertices that touch an odd number of edges
Handshaking_lemma
Probability distribution
normal distribution Reciprocal normal distribution Standard normal table Stein's lemma Sub-Gaussian distribution Sum of normally distributed random variables
Normal_distribution
(probability) Method of moments (probability theory) Stability (probability) Stein's lemma Characteristic function (probability theory) Lévy continuity theorem
List_of_probability_topics
Hungarian mathematical physicist and quantum information theorist (1953–2018)
Citizenship Hungarian Alma mater Eötvös Loránd University Known for Quantum Stein's lemma Petz recovery map monotone metric typical subspace theorem variational
Dénes_Petz
lemma is an estimate for oscillatory integrals named after the Dutch mathematician J. G. van der Corput. The following result is stated by E. Stein:
Van der Corput lemma (harmonic analysis)
Van_der_Corput_lemma_(harmonic_analysis)
StatPlus StatXact – software Stein's example Proof of Stein's example Stein's lemma Stein's unbiased risk estimate Steiner system Stemplot – see Stem-and-leaf
List_of_statistics_articles
In mathematical analysis, the Whitney covering lemma, or Whitney decomposition, asserts the existence of a certain type of partition of an open set in
Whitney_covering_lemma
Argentine mathematician
analysis, ergodic theory and spectral theory. He introduced the Cotlar–Stein lemma. He was the author or co-author of over 80 articles in refereed journals
Mischa_Cotlar
analysis, the rising sun lemma is a lemma due to Frigyes Riesz, used in the proof of the Hardy–Littlewood maximal theorem. The lemma was a precursor in one
Rising_sun_lemma
Combinatorial and geometric result used in measure theory of Euclidean spaces
the Vitali covering lemma is a combinatorial and geometric result commonly used in measure theory of Euclidean spaces. This lemma is an intermediate step
Vitali_covering_lemma
the two hypotheses. This exponent is also referred to as the Chernoff–Stein lemma exponent. In the Bayesian version of binary hypothesis testing one is
Error exponents in hypothesis testing
Error_exponents_in_hypothesis_testing
likelihood ratio / (1:C) Scale parameter / (1:C) Stability / (1:C) Stein's lemma / (12:C) Truncated distribution / (1:C) Tsallis entropy / (1:DC) Heavy-tailed
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Mathematical equation
In mathematics, Weyl's lemma, named after Hermann Weyl, states that every weak solution of Laplace's equation is a smooth solution. This contrasts with
Weyl's lemma (Laplace equation)
Weyl's_lemma_(Laplace_equation)
Representation theory of the symplectic group
integrals over the oscillator semigroup and then estimated using the Cotlar-Stein lemma. Weil (1964) noted that the formalism of the Stone–von Neumann theorem
Oscillator_representation
prove the data processing inequality. By the quantum analogue of the Stein lemma, lim n → ∞ 1 n D ε ( ρ ⊗ n ‖ σ ⊗ n ) = lim n → ∞ − 1 n log min 1 ε
Generalized_relative_entropy
Mathematical operator in real and harmonic analysis
version of the Vitali covering lemma to prove the weak-type estimate. (See the article for the proof of the lemma.) Lemma—Let X be a separable metric space
Hardy–Littlewood maximal function
Hardy–Littlewood_maximal_function
non-pseudoconvex domains. The proof of the theorem follows from Hefer's lemma. Let Ω ⊂ C n {\displaystyle \Omega \subset \mathbb {C} ^{n}} be a domain
Hefer's_theorem
Fast Fourier Transform algorithm
Danielson–Lanczos lemma, since the identity was noted by those two authors in 1942 (influenced by Runge's 1903 work). They applied their lemma in a "backwards"
Cooley–Tukey_FFT_algorithm
German nationalist ideology
Opladen 1996, passim; Glossar der Bundeszentrale für politische Bildung, Lemma Ethnopluralismus, siehe: [1], vom 3. Februar 2014. "The Rise of Germany's
Völkisch_nationalism
Polish mathematician (1900–1992)
1925. Upon his death he was survived by four grandsons. Calderón–Zygmund lemma Marcinkiewicz–Zygmund inequality Paley–Zygmund inequality Calderón–Zygmund
Antoni_Zygmund
Hungarian mathematician
Rising sun lemma Denjoy–Riesz theorem F. and M. Riesz theorem Riesz representation theorem Riesz–Fischer theorem Riesz groups Riesz's lemma Riesz projector
Frigyes_Riesz
Semidirect product Sylow theorems Hall subgroup Wreath product Butterfly lemma Center of a group Centralizer and normalizer Characteristic subgroup Commutator
List_of_group_theory_topics
hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List of mathematical functions
List_of_theorems
List of unsolved computational problems
time, that is, in time O(V3−ϵ) for some ϵ > 0? Can the Schwartz–Zippel lemma for polynomial identity testing be derandomized? Does linear programming
List of unsolved problems in computer science
List_of_unsolved_problems_in_computer_science
Data structure for storing non-overlapping sets
2^{r}+2^{r}=2^{r+1}} nodes. Lemma 3: The maximum number of nodes of rank r is at most n 2 r . {\displaystyle {\frac {n}{2^{r}}}.} Proof From lemma 2, we know that
Disjoint-set_data_structure
Manifold with Riemannian, complex and symplectic structure
the complex version of the Poincaré lemma, known as the local ∂ ∂ ¯ {\displaystyle \partial {\bar {\partial }}} -lemma, every Kähler metric can locally be
Kähler_manifold
Topics referred to by the same term
1931 results by Henri Cartan concerning a coherent sheaf on a Stein manifold Cartan's lemma, several results by Élie or Henri Cartan Cartan–Dieudonné theorem
Cartan's_theorem
Greek mathematician and physicist (c. 287 – 212 BC)
the area of a circle is proportional to its diameter was proven using a lemma now known as the Archimedean property, that “the excess by which the greater
Archimedes
Collection of mathematical objects
Other equivalent forms are described in the following subsections. Zorn's lemma is an assertion that is equivalent to the axiom of choice under the other
Set_(mathematics)
Algorithm that employs a degree of randomness as part of its logic or procedure
one execution of the algorithm. After execution, we get a cut of size 3. Lemma 1—Let k be the min cut size, and let C = {e1, e2, ..., ek} be the min cut
Randomized_algorithm
One can't dissect a square into an odd number of triangles of equal area
that a straight line can contain points of only two colours. Use Sperner's lemma to show that every triangulation of the square into triangles meeting edge-to-edge
Monsky's_theorem
Computation modulo a fixed integer
little theorem (a special case of Euler's theorem) Lagrange's theorem Thue's lemma Gray, Jeremy. A History of Abstract Algebra: From Algebraic Equations to
Modular_arithmetic
Rarita–Schwinger operator is defined to be PDk, and it is denoted by Rk. Using Euler's Lemma one may determine that D u u p k − 1 ( u ) = ( − n − 2 k + 2 ) p k − 1
Clifford_analysis
Comune in Trentino-Alto Adige/Südtirol, Italy
Die Ortsnamen Südtirols, Vol. 1 (2000), lemma Meran Johann Jacob Hofmann, Lexicon Universale (1698), lemma 'Tirolis' "Museum Burg Hasegg/Münze Hall in
Merano
Characterizes spherical triangles with fixed base and area
between the great and small circles, which vanish in the planar case. A lemma analogous to Elements I.35: two spherical parallelograms on the same base
Lexell's_theorem
Theorem about inclusions between Sobolev spaces
An equivalent statement is known as the Sobolev lemma in (Aubin 1982, Chapter 2). A proof is in (Stein 1970, Chapter V, §1.3). Let 0 < α < n and 1 < p
Sobolev_inequality
German mathematician (1826–1866)
function, a case not covered by Dirichlet. He also proved the Riemann–Lebesgue lemma: if a function is representable by a Fourier series, then the Fourier coefficients
Bernhard_Riemann
Circles related to a point in the plane
additional circles associated with and sometimes tangent to an arbelos Ring lemma, on the radii of a ring of tangent circles surrounding a central circle
Tangent_circles
Algorithm for finding the shortest paths in graphs
the graph. The correctness of the algorithm can be shown by induction: Lemma. After i repetitions of for loop, if Distance(u) is not infinity, it is
Bellman–Ford_algorithm
Point in the convex hull of a set P in Rd, is the convex combination of d+1 points in P
elements of S {\displaystyle S} (see the convex hull page for details). Lemma—If q 1 , . . . , q N ∈ R d {\displaystyle q_{1},...,q_{N}\in \mathbb {R}
Carathéodory's theorem (convex hull)
Carathéodory's_theorem_(convex_hull)
Complexity class used to classify decision problems
Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms, Second Edition. MIT Press and McGraw-Hill,
NP_(complexity)
Theorem in projective geometry
transformation. This was realised by Pascal, whose first lemma states the theorem for a circle. His second lemma states that what is true in one plane remains true
Pascal's_theorem
Type of mathematical functions
18 (3): 1185–1186. doi:10.2977/prims/1195183303. Neeman, Amnon (1988). "Steins, Affines and Hilbert's Fourteenth Problem". Annals of Mathematics. 127 (2):
Function of several complex variables
Function_of_several_complex_variables
Mathematical transform that expresses a function of time as a function of frequency
C_{0}(\mathbb {R} )} is bounded, uniformly continuous and (by the Riemann–Lebesgue lemma) vanishing at infinity. Here C 0 ( R ) {\displaystyle C_{0}(\mathbb {R}
Fourier_transform
Country in Southeast Asia
while Ngô Bảo Châu won the 2010 Fields Medal for his proof of fundamental lemma in the theory of automorphic forms. Since the establishment of the Vietnam
Vietnam
Set of edges without common vertices
Berge's lemma states that a matching M is maximum if and only if there is no augmenting path with respect to M {\displaystyle M} . Using Berge's lemma, we
Matching_(graph_theory)
Two-player extensive form game
Level-k logic or a Quantal response logic. However, Parco, Rapoport and Stein (2002) illustrated that the level of financial incentives can have a profound
Centipede_game
and the theory of Sturmian words. Noether normalization lemma The Noether normalization lemma is a result of commutative algebra, introduced by Emmy Noether
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
Genus of plants
spikelets whose glumes are almost completely suppressed. In Oryza, two sterile lemma simulate glumes. The tribe Oryzeae is in subfamily Ehrhartoideae, a group
Oryza
Partition of a polygon into triangles of equal area
extending p-adic valuations to the real numbers and extending Sperner's lemma to more general colored graphs. A dissection of a polygon P is a finite
Equidissection
Largest integer that divides given integers
divisors of their GCD. This is commonly proved by using either Euclid's lemma, the fundamental theorem of arithmetic, or the Euclidean algorithm. This
Greatest_common_divisor
Algorithm to compute the maximum flow in a flow network
residual flow network increases monotonically after each augmenting iteration (Lemma 1, proven below). Then, it shows that each of the | E | {\displaystyle |E|}
Edmonds–Karp_algorithm
Canadian mathematician (1905–1995)
Parsons, Nobel Prize winner Lloyd Shapley, Robert Singleton, and Marjorie Stein. Tucker advised and collaborated with Harold W. Kuhn on a number of papers
Albert_W._Tucker
Pablo Parrilo, Motakuri Ramana, 2005) The Langlands–Shelstad fundamental lemma (Ngô Bảo Châu and Gérard Laumon, 2004) Milnor conjecture (Vladimir Voevodsky
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
List of disproved mathematical ideas List of unsolved problems List of lemmas List of theorems List of statements undecidable in ZFC Weisstein, Eric W
List_of_conjectures
On tangency patterns of circles
result known as the ring lemma controls the sizes of adjacent circles in a Euclidean circle packing. According to the ring lemma, if one circle in a packing
Circle_packing_theorem
Mathematical theory by discovered by Józef Marcinkiewicz
interpolation. The weak (1,1) estimate can be obtained from the Vitali covering lemma. The theorem was first announced by Marcinkiewicz (1939), who showed this
Marcinkiewicz interpolation theorem
Marcinkiewicz_interpolation_theorem
3rd-century Roman biographer of Greek philosophers
"Diogenes Laertius" is much rarer, used by Stephanus of Byzantium, and in a lemma to the Greek Anthology. He is also referred to as "Laertes" or simply "Diogenes"
Diogenes_Laertius
Polynomial equation of degree 3
left-hand side is the product of polynomials of lower degrees. By Gauss's lemma, if the equation is reducible, one can suppose that the factors have integer
Cubic_equation
Type of function in mathematics
Mathematics". encyclopediaofmath.org. Retrieved 2020-08-30. Krantz & Parks 2002. Stein & Shakarchi 2003, p. 15 harvnb error: no target: CITEREFSteinShakarchi2003
Analytic_function
Mathematical treatise by Euclid
integers such as 2 {\displaystyle {\sqrt {2}}} , the square root of 2. A lemma to Proposition 29 gives Euclid's formula for producing all fundamental Pythagorean
Euclid's_Elements
Square matrices satisfy their characteristic equation
4) (which in fact is the more general statement related to the Nakayama lemma; one takes for the ideal in that proposition the whole ring R). The fact
Cayley–Hamilton_theorem
Geometry theorem
are Lemmas VIII, XII, XIII, XV, and XVII in the part of Book VII consisting of lemmas to the first of the three books of Euclid's Porisms. Lemma VIII
Pappus's_hexagon_theorem
Annual race in the U.S. since 1976
Cate Fenster (USA) 2:48:55 34 2009 John Mentzer (USA) 2:21:47 Muliye Lemma (ETH) 2:49:48 35 2010 Jacob Bradosky (USA) 2:23:30 Janet Cherobon (KEN)
Marine_Corps_Marathon
Study of complex manifolds and several complex variables
correspondence Kähler manifold ∂ ∂ ¯ {\displaystyle \partial {\bar {\partial }}} -lemma Lelong number List of complex and algebraic surfaces Mirror symmetry Multiplier
Complex_geometry
Waldhausen conjecture Compression body Handlebody Incompressible surface Dehn's lemma Loop theorem (aka the Disk theorem) Sphere theorem Haken manifold JSJ decomposition
List of geometric topology topics
List_of_geometric_topology_topics
How the mind orders linguistic units into coherent discourse and meaning
notion of lemma in most psycholinguistic theories of speech production. However, sphoṭa arises also in the listener, which is different from the lemma position
Sphoṭa
Branch of mathematics studying functions of a complex variable
1966). Shaw, W. T., Complex Analysis with Mathematica (Cambridge, 2006). Stein, E. & R. Shakarchi, Complex Analysis. (Princeton, 2003). Sveshnikov, A.
Complex_analysis
Probabilistic primality test
{n}}.} In other words, n divides the product (x − 1)(x + 1). By Euclid's lemma, since n is prime, it divides one of the factors x − 1 or x + 1, implying
Miller–Rabin_primality_test
and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's lemma are named after him. Paul Ehrenfest (1880–1933): Austrian and Dutch theoretical
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Arithmetic operation
cannot be explicitly described (because their existence involves Zorn's lemma). In this context, 2 can represents the set { 0 , 1 } . {\displaystyle \{0
Exponentiation
Experimental film movement
Lawder, 1970) Variations of a Cellophane Wrapper (David Rimmer, 1970) Zorns Lemma (Hollis Frampton, 1970) Serene Velocity (Ernie Gehr, 1970) Remedial Reading
Structural_film
Polynomial-time algorithm for the assignment problem
maximum possible size, we are of course finished. Otherwise, by Berge's lemma, there must exist an augmenting path P with respect to M in the underlying
Hungarian_algorithm
Number divisible only by 1 and itself
proofs of the uniqueness of prime factorizations are based on Euclid's lemma: If p {\displaystyle p} is a prime number and p {\displaystyle p}
Prime_number
Fundamental theorem in probability theory and statistics
f(n) such that Sn/(σ√n⋅f(n)) converges in distribution to N(0,1) as n→ ∞. Lemma—Suppose X 1 , X 2 , … {\displaystyle X_{1},X_{2},\dots } is a sequence of
Central_limit_theorem
Discrete probability distribution
Poisson sampling Poisson wavelet Queueing theory Renewal theory Robbins lemma Skellam distribution Tweedie distribution Zero-inflated model Zero-truncated
Poisson_distribution
Mathematical theorem in real analysis
taken to be arbitrarily small, and the theorem follows. The Vitali covering lemma is vital to the proof of this theorem; its role lies in proving the estimate
Lebesgue differentiation theorem
Lebesgue_differentiation_theorem
Term in algebraic geometry
Proper base change theorem Stein factorization Tube lemma Hartshorne (1977), Appendix B, Example 3.4.1. Liu (2002), Lemma 3.3.17. Stacks Project, Tag
Proper_morphism
Mathematical proposition or corollary
who mentions it along with other geometrical treatises, and gives several lemmas necessary for understanding it. Pappus states: The porisms of all classes
Porism
Catholic hymn about the Eucharist for Corpus Christi
Salvatorem Wikimedia Commons has media related to Lauda Sion. H.T. Henry. "Lemma "Lauda Sion", in the 1917 Catholic Encyclopedia". Archived from the original
Lauda_Sion
Area of discrete mathematics
forbidden subgraph problem, homomorphism density, and Szemerédi regularity lemma. The forbidden subgraphs problem suggests finding the extremal number of
Graph_theory
Mathematical element
by b) gives (iv) ⇒ (i) and the rest is easy. Coincidentally, Nakayama's lemma is also an immediate consequence of this theorem. It follows from the above
Integral_element
About simultaneous modular congruences
the proofs (except for the first existence proof), are based on Euclid's lemma and Bézout's identity, which are true over every principal domain. However
Chinese_remainder_theorem
Special mathematical functions defined on the surface of a sphere
Retrieved 2023-05-10. Edmonds 1957, §2.5 Hall 2013 Section 17.6 Hall 2013 Lemma 17.16 Weisstein, Eric W. "Condon-Shortley Phase". MathWorld—A Wolfram Web
Spherical_harmonics
Theorem on operator interpolation
operators defined on the sumset Lp0 + Lp1. For example, the Riemann–Lebesgue lemma shows that the Fourier transform maps L1(Rd) boundedly into L∞(Rd), and
Riesz–Thorin_theorem
Formulation of quantum mechanics
{\dot {x}}]=x{\frac {dx}{dt}}-{\frac {dx}{dt}}x=1} This is called the Itō lemma in stochastic calculus, and the (euclideanized) canonical commutation relations
Path-integral_formulation
Sheaf consisting of modules on a ringed space; generalizing vector bundles
are locally free of rank one. (cf. EGA, Ch 0, 5.4.3.) Hartshorne, Ch III, Lemma 2.4. see also: https://math.stackexchange.com/q/447234 Hartshorne, Ch. II
Sheaf_of_modules
Algorithm for computing greatest common divisors
must also divide the left-hand side, v. This result is known as Euclid's lemma. Specifically, if a prime number divides L, then it must divide at least
Euclidean_algorithm
STEINS LEMMA
STEINS LEMMA
Surname or Lastname
English
English : habitational name from Stain in Lincolnshire, named with Old Norse steinn ‘stone’, ‘rock’.
Surname or Lastname
English
English : patronymic from Stern 2.In 1646 Charles Stearns was admitted as a freeman of Watertown, MA.
Boy/Male
Hindu
Stairs, Steps
Male
Swedish
Swedish form of Old Norse Steinn, STEN means "stone."
Male
Norse
Old Norse name derived from the word steinn, STEINN means "stone."
Male
Norwegian
Norwegian form of Old Norse Steinn, STEIN means "stone."
Surname or Lastname
English
English : metonymic occupational name for a maker of strings or bow strings, from Middle English streng ‘string’, ‘cord’.
Surname or Lastname
English
English : variant spelling of Stern 2.
Male
Greek
(Στυλιανός) Contracted form of Greek Stylianos, STELIOS means "pillar."
Surname or Lastname
English
English : patronymic from Stern 2.
Boy/Male
American, British, English, German
Austere; Stern; Unbending
Female
Yiddish
Variant spelling of Yiddish Sheina, SHEINE means "beautiful."
Surname or Lastname
English (also Skeins)
English (also Skeins) : see Skeens.
Male
Norwegian
Norwegian form of Old Norse Sveinn, SVEIN means "boy."
Female
Finnish
Short form of Finnish Kristiina, STIINA means "believer" or "follower of Christ."
Female
Yiddish
(ש×Öµ×™×™× Ö¸×) Yiddish name SHEINA means "beautiful."
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Stairs; Steps
Surname or Lastname
English
English : reduced form of Stevens.
Male
Norse
Old Norse name SVEINN means "boy."
Boy/Male
Tamil
Stairs, Steps
STEINS LEMMA
STEINS LEMMA
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Full of Mercy
Male
Hebrew
(חֶבְרï‹×Ÿ) Variant form of Hebrew Ebron, CHEBROWN means "alliance, association."Â
Boy/Male
Gujarati, Hindu, Indian, Kannada
Hard Working
Girl/Female
Tamil
Anmima | அநà¯à®®à¯€à®®à®¾à®‚
The glow of dawn
Boy/Male
German American French Shakespearean Swedish
Illustrious warrior. Army. Bright. Introduced into Britain during the Norman Conquest. Famous...
Boy/Male
Tamil
A mirror
Male
Babylonian
, the irrigator.
Surname or Lastname
English
English : unexplained.Probably also an altered spelling of German Rüdel (see Rudel).
Boy/Male
Buddhist, Indian, Sanskrit
Term of Respect Applied to a Buddhist Mendicant
Boy/Male
Arabic, Bengali, Hindu, Indian, Marathi, Muslim, Parsi, Tamil, Zoroastrian
Scented; Blessing from God; Star; Tree of Heaven; King; Sweet Basil
STEINS LEMMA
STEINS LEMMA
STEINS LEMMA
STEINS LEMMA
STEINS LEMMA
n. & v.
See Steen.
n.
A thread or cord on which a number of objects or parts are strung or arranged in close and orderly succession; hence, a line or series of things arranged on a thread, or as if so arranged; a succession; a concatenation; a chain; as, a string of shells or beads; a string of dried apples; a string of houses; a string of arguments.
superl.
Having a certain hardness or severity of nature, manner, or aspect; hard; severe; rigid; rigorous; austere; fixed; unchanging; unrelenting; hence, serious; resolute; harsh; as, a sternresolve; a stern necessity; a stern heart; a stern gaze; a stern decree.
v. i.
To give or receive a stain; to grow dim.
v. t.
Anything that gives acute pain, bodily or mental; as, the stings of remorse; the stings of reproach.
v. t.
To furnish with strings; as, to string a violin.
n. & v.
See Steen.
v. t.
To cause to stink; to affect by a stink.
n.
A flight of stairs or steps; a staircase.
n.
A small cord, a line, a twine, or a slender strip of leather, or other substance, used for binding together, fastening, or tying things; a cord, larger than a thread and smaller than a rope; as, a shoe string; a bonnet string; a silken string.
v. t.
To pierce or wound with a sting; as, bees will sting an animal that irritates them; the nettles stung his hands.
a.
Being in the stern, or being astern; as, the stern davits.
v. t.
To deprive of a string or strings; also, to take from a string; as, to unstring beads.
v. t.
To put in tune the strings of, as a stringed instrument, in order to play upon it.
v. t.
To put on a string; to file; as, to string beads.
obs. p. p.
of Stent
n.
An allotted portion; a stint.
v. i.
To stint; to stop; to cease.
v. t.
To deprive of strings; to strip the strings from; as, to string beans. See String, n., 9.