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Probability saying
In probability theory, an event is said to happen almost surely (sometimes abbreviated as a.s.) if it happens with probability 1 (with respect to the
Almost_surely
Probability distribution
.} A constant random variable is almost surely constant, but the converse is not true, since if X is almost surely constant then there may still exist
Degenerate_distribution
Sigma-algebra used in probability and ergodic theory
{\mathcal {F}}} is called almost surely invariant if and only if its indicator function 1 S {\displaystyle 1_{S}} is almost surely equal to the indicator
Invariant_sigma-algebra
Notions of probabilistic convergence, applied to estimation and asymptotic analysis
elementary real analysis. To say that the sequence Xn converges almost surely or almost everywhere or with probability 1 or strongly towards X {\displaystyle
Convergence of random variables
Convergence_of_random_variables
Everywhere except a set of measure zero
complement is of measure zero. In probability theory, the terms almost surely, almost certain and almost always refer to events with probability 1 not necessarily
Almost_everywhere
Counterintuitive result in probability
random on a typewriter keyboard for an infinite amount of time will almost surely type any given text, including the complete works of William Shakespeare
Infinite_monkey_theorem
Averages of repeated trials converge to the expected value
flips will almost surely converge to 1⁄2 as n approaches infinity. Although the proportion of heads (and tails) approaches 1⁄2, almost surely the absolute
Law_of_large_numbers
Stochastic process generalizing Brownian motion
normally distributed with mean 0 and variance u. W has almost surely continuous paths: Wt is almost surely continuous in t. That the process has independent
Wiener_process
In mathematics, with negligible exceptions
generally, "almost all" is sometimes used in the sense of "almost everywhere" in measure theory, or in the closely related sense of "almost surely" in probability
Almost_all
Tree-based ensemble machine learning methods
{\displaystyle \mathbf {x} } and z {\displaystyle \mathbf {z} } , then almost surely we have m ~ M , n ( x , Θ 1 , … , Θ M ) = ∑ i = 1 n Y i K M , n ( x
Random_forest
Process forming a path from many random steps
points have infinitely many intersections almost surely, but for dimensions higher than 5, they almost surely intersect only finitely often. The asymptotic
Random_walk
Theorem in probability theory
\}}|\leq c} almost surely for all t ∈ N 0 {\displaystyle t\in \mathbb {N} _{0}} . Then X τ {\displaystyle X_{\tau }} is an almost surely well-defined
Optional_stopping_theorem
Term in set theory
Almost periodic function - and Operators Almost all Almost surely Approximation List of mathematical jargon "Almost All Real Numbers are Transcendental -
Almost
Variety of proofs provided for the different types of convergence of random variables
{ X n } {\displaystyle \{X_{n}\}} converges to X {\displaystyle X} almost surely, it means that the set of points O = { ω : lim X n ( ω ) ≠ X ( ω ) }
Proofs of convergence of random variables
Proofs_of_convergence_of_random_variables
Self-adjoint operator that arises in physical transition problems
\alpha }} has almost surely pure point spectrum and exhibits Anderson localization. (It is known that almost surely can not be replaced by surely.) That the
Almost_Mathieu_operator
Lemma in measure theory
]}\leq \liminf _{n\to \infty }\,\mathbb {E} [X_{n}|{\mathcal {G}}]} almost surely. Note: Conditional expectation for non-negative random variables is
Fatou's_lemma
Probabilistic inequality applying on sum of bounded random variables
such that a i ≤ X i ≤ b i {\displaystyle a_{i}\leq X_{i}\leq b_{i}} almost surely. Consider the sum of these random variables, S n = X 1 + ⋯ + X n . {\displaystyle
Hoeffding's_inequality
Variable representing a random phenomenon
considered to be equivalent. Two random variables can be equal, equal almost surely, or equal in distribution. In increasing order of strength, the precise
Random_variable
Average value of a random variable
"almost surely"—a central property of the Lebesgue integral. Basically, one says that an inequality like X ≥ 0 {\displaystyle X\geq 0} is true almost surely
Expected_value
Two closely related models for generating random graphs
G(n, p) will almost surely have no connected components of size larger than O(log(n)). If np = 1, then a graph in G(n, p) will almost surely have a largest
Erdős–Rényi_model
Differential equations involving stochastic processes
discovered to be exceptionally complex mathematically. The Wiener process is almost surely nowhere differentiable; thus, it requires its own rules of calculus
Stochastic differential equation
Stochastic_differential_equation
Random motion of particles suspended in a fluid
The Wiener process Wt is characterized by four facts: W0 = 0 Wt is almost surely continuous Wt has independent increments W t − W s ∼ N ( 0 , t − s )
Brownian_motion
Branch of mathematics that studies dynamical systems
) (almost surely) {\displaystyle {\frac {R_{1}+\cdots +R_{n}}{n}}\to {\frac {\mu (X)}{\mu (A)}}\quad {\text{(almost surely)}}} (See almost surely.) That
Ergodic_theory
Branch of probability theory
{1}{t}}Y_{t}={\frac {1}{\operatorname {E} [S_{1}]}}\operatorname {E} [W_{1}]} almost surely. Renewal processes additionally have a property analogous to the central
Renewal_theory
Theorems concerning stochastic processes
{\textstyle X_{t}^{-}=-\min(X_{t},0)} . Then the sequence converges almost surely to a random variable X {\displaystyle X} with finite expectation. There
Doob's martingale convergence theorems
Doob's_martingale_convergence_theorems
When the occurrence of one event does not affect the likelihood of another
event is independent of itself if and only if it almost surely occurs or its complement almost surely occurs; this fact is useful when proving zero–one
Independence (probability theory)
Independence_(probability_theory)
Mathematical theorem in stochastic processes
processes, this implies iteratively that Yn = 0 almost surely for all n ∈ I, hence the decomposition is almost surely unique. A real-valued stochastic process
Doob_decomposition_theorem
measurability theorem. A function f {\displaystyle f} is said to be almost surely separably valued (or essentially separably valued) if there exists a
Weakly_measurable_function
Topics referred to by the same term
reference work Aggregate supply, in economics, the total supply of goods Almost surely or a.s., in probability theory Aš, a town in the Czech Republic Ås,
As
Type of stochastic process
Y t {\displaystyle Y_{t}} is continuous almost surely (since W 1 ≠ 0 {\displaystyle W_{1}\neq 0} almost surely), nevertheless, its expectation is discontinuous
Local_martingale
Concept in probability theory
series ∑ n = 1 ∞ X n {\textstyle \sum _{n=1}^{\infty }X_{n}} converges almost surely in R {\displaystyle \mathbb {R} } if the following conditions hold for
Kolmogorov's three-series theorem
Kolmogorov's_three-series_theorem
Stochastic process that is a continuous function of time or index parameter
Xt. X is said to be sample continuous if Xt(ω) is continuous in t for P-almost all ω ∈ Ω. Sample continuity is the appropriate notion of continuity for
Continuous_stochastic_process
a property of a logic saying that any property is either almost surely true or almost surely false. Zero-one law holds for first-order logic (without
Zero–one_law_(logic)
Theorem in probability theory
Hence, the probability of Xn = 0 occurring for infinitely many n is 0. Almost surely (i.e., with probability 1), Xn is nonzero for all but finitely many n
Borel–Cantelli_lemma
Theorem in probability theory
that specifies that a certain type of event will either almost surely happen or almost surely not happen. It is sometimes known as the Savage-Hewitt law
Hewitt–Savage_zero–one_law
Function type in graph theory
the random graph models defined by graphons give rise to dense graphs almost surely, and, by the regularity lemma, graphons capture the structure of arbitrary
Graphon
sample-continuous process is a stochastic process whose sample paths are almost surely continuous functions. Let (Ω, Σ, P) be a probability space. Let X : I × Ω → S
Sample-continuous_process
Difficulties arising when analyzing data with many aspects ("dimensions")
blessing, as it ensures that the nearest-neighbor of an instance is almost-surely its most closely related instance. From this perspective, contrast-loss
Curse_of_dimensionality
Range of views in political science and philosophy
The thesis predicted by Condorcet's jury theorem either occurs almost surely or almost never, and the prior probability of the theorem's thesis is zero
Epistemic_democracy
Exponentially decreasing bounds on tail distributions of random variables
If ‖ M i ‖ ≤ γ {\displaystyle \lVert M_{i}\rVert \leq \gamma } holds almost surely for all i ∈ { 1 , … , t } {\displaystyle i\in \{1,\ldots ,t\}} , then
Chernoff_bound
Concept in stochastic analysis
B_{H}^{m}(s_{2})\otimes \mathrm {d} B_{H}^{m}(s_{3})\right)\end{aligned}}} converges almost surely in the p {\displaystyle p} -variation metric to a p {\displaystyle p}
Rough_path
Mathematical theorem
logarithm, "lim sup" denotes the limit superior, and "a.s." stands for "almost surely". Another statement given by A. N. Kolmogorov in 1929 is as follows
Law_of_the_iterated_logarithm
Process for achieving system stability
critical probability below which all cells almost surely become inactive and above which some clusters almost surely survive. Bootstrap percolation can be
Bootstrap_percolation
dimension of a set A {\displaystyle A} under a Brownian motion doubles almost surely. The first result is due to Henry P. McKean jr and hence called McKean's
Dimension_doubling_theorem
Statistical function that defines the quantiles of a probability distribution
function Q behaves as an "almost sure left inverse" for the distribution function, in the sense that Q ( F ( X ) ) = X almost surely. {\displaystyle Q{\bigl
Quantile_function
Theory of probability
distribution function converges uniformly to the true distribution function almost surely. The uniform convergence of more general empirical measures becomes
Glivenko–Cantelli_theorem
Theorem in probability theory
is not symmetric, then (9) does not hold. Note that, when Z is not almost surely equal to the zero random variable, then (11) and (12) cannot hold simultaneously
Wald's_equation
Probability theorem
the intersection of two almost sure events is almost sure. By definition, we conclude that g(Xn) converges to g(X) almost surely. Slutsky's theorem Portmanteau
Continuous_mapping_theorem
Variance of a random variable given value of other variables
) = Var ( Y | X ) {\displaystyle v(X)=\operatorname {Var} (Y|X)} almost surely. The "conditional expectation of Y given X=x" can also be defined more
Conditional_variance
Political confrontation in Fascist Italy
Felice argued that Mussolini was a political victim of a plot, and almost surely he was damaged by the crisis that followed the murder. Many fascists
Matteotti_Crisis
Topic in mathematics
B,p)} , the asymptotic equipartition property is an assertion that, almost surely, − 1 n log p ( X 1 , X 2 , … , X n ) → H ( X ) as n → ∞ {\displaystyle
Asymptotic equipartition property
Asymptotic_equipartition_property
Probability of stochastic processes
|X_{t+1}-X_{t}|\leq k} almost surely for some fixed bound k and all t. Also assume that | X 1 | ≤ k {\displaystyle |X_{1}|\leq k} almost surely. Define σ t 2 =
Martingale central limit theorem
Martingale_central_limit_theorem
Stochastic process in probability theory
satisfies the following properties: X 0 = 0 {\displaystyle X_{0}=0\,} almost surely; Independence of increments: For any 0 ≤ t 1 < t 2 < ⋯ < t n < ∞ {\displaystyle
Lévy_process
asymptotically almost surely. In particular, for r ≥ 3 {\displaystyle r\geq 3} , a random r-regular graph of large size is asymptotically almost surely r-connected
Random_regular_graph
hitting keys at random on typewriters for an infinite amount of time will almost surely produce Hamlet." The play's humour mainly involves literary references
Infinite monkey theorem in popular culture
Infinite_monkey_theorem_in_popular_culture
Inequality in probability theory
real-valued random variable such that a ≤ X ≤ b {\displaystyle a\leq X\leq b} almost surely, i.e. with probability one. Then, for all λ ∈ R {\displaystyle \lambda
Hoeffding's_lemma
Probability concept
trajectory ( X t ( ω ) ) t ∈ T {\displaystyle (X_{t}(\omega ))_{t\in T}} is almost surely right continuous (with respect to the discrete metric on S {\displaystyle
Continuous-time_Markov_chain
Statistical measure
of the linear subspaces spanned by X and Y samples respectively are almost surely equal and if we assume that these subspaces are equal, then in this
Distance_correlation
Mathematical statistics distance measure
which converges if and only if P ≤ 2 Q {\displaystyle P\leq 2Q} almost surely w.r.t Q {\displaystyle Q} . [Proof] Denote f ( α ) := D KL ( ( 1 − α
Kullback–Leibler_divergence
subordinator a process must be a Lévy process. It also must be increasing, almost surely, or an additive process. A subordinator is a real-valued stochastic
Subordinator_(mathematics)
for a random dynamical system is a P {\displaystyle \mathbb {P} } -almost surely unique random set such that A ( ω ) {\displaystyle {\mathcal {A}}(\omega
Pullback_attractor
Method of estimating the parameters of a statistical model, given observations
{\widehat {\theta \,}}} converges to θ0 almost surely, then a stronger condition of uniform convergence almost surely has to be imposed: sup θ ∈ Θ ‖ ℓ ^ (
Maximum_likelihood_estimation
Generalization of volume to non-integer number of dimensions
infinite d {\displaystyle d} -dimensional Hausdorff measure. For example, almost surely the image of planar Brownian motion has Hausdorff dimension 2 and its
Hausdorff_measure
Random set of points on a space with random number and random position
elements of S. If X i {\displaystyle X_{i}} 's are almost surely distinct (or equivalently, almost surely ξ ( x ) ≤ 1 {\displaystyle \xi (x)\leq 1} for all
Point_process
Technique where the user tests the application or system by providing random inputs
random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare
Monkey_testing
United States Army Medal of Honor recipient
of ammunition critical to their survival, without which they would almost surely have gone down, with much greater loss of life. After medical evacuation
Ed_Freeman
Optimization algorithm
descent converges almost surely to a global minimum when the objective function is convex or pseudoconvex, and otherwise converges almost surely to a local minimum
Stochastic_gradient_descent
Type of random process
process that admits one or several absorbing states that are reached almost surely, but is initially distributed such that it can evolve for a long time
Quasi-stationary_distribution
References A – adele ring or algebraic numbers. a.a.s. – asymptotically almost surely. AC – Axiom of Choice, or set of absolutely continuous functions. a
List of mathematical abbreviations
List_of_mathematical_abbreviations
Cryptographic model of a random function
two classes shown in 1981 to be distinct relative to a random oracle almost surely. They made their way into cryptography by the publication of Mihir Bellare
Random_oracle
Graph generated by a random process
random graph. Except in the trivial cases when p is 0 or 1, such a G almost surely has the following property: Given any n + m elements a 1 , … , a n
Random_graph
Quantity defined for a stochastic process
the sense of the definition given here and its paths be nonetheless almost surely of infinite 1-variation for every t > 0 {\displaystyle t>0} in the classical
Quadratic_variation
Unsolved problem in computer science
turn out to be helpful even if it is proved, because such a proof will almost surely be nonconstructive. A proof of P ≠ NP would lack the practical computational
P_versus_NP_problem
Randomized mathematical sequence based upon the Fibonacci sequence
decays almost surely if β is less than a critical value β* ≈ 0.70258, known as the Embree–Trefethen constant, and otherwise grows almost surely. They also
Random_Fibonacci_sequence
Family of stochastic processes
continuous, the distributions drawn from the Dirichlet process are almost surely discrete. The scaling parameter specifies how strong this discretization
Dirichlet_process
Category of painful thinking or beliefs
anytime... My sharp knife could kill a baby. This horrific thought is almost surely revealing. I am probably going to kill my child in the near future.
Thought-action_fusion
Special case in probability theory; introduces tail events
namely a tail event of independent σ-algebras, will either almost surely happen or almost surely not happen; that is, the probability of such an event occurring
Kolmogorov's_zero–one_law
Mathematical theory
that a random variable of Jessen–Wintner type, meaning the sum of an almost surely convergent series of independent discrete random variables, is of pure
Jessen–Wintner_theorem
Statistical model
_{n}c_{n}(|\xi _{n}|+|\eta _{n}|)<\infty } almost surely, which ensures uniform convergence of the Fourier series almost surely, and sample continuity of X . {\displaystyle
Gaussian_process
K\colon \Omega \to 2^{M}} such that K ( ω ) {\displaystyle K(\omega )} is almost surely compact and ω ↦ inf b ∈ K ( ω ) d ( x , b ) {\displaystyle \omega \mapsto
Random_compact_set
Sorting algorithm
the right permutation, so given an unbounded number of tries it will almost surely eventually be chosen. Gorosort An algorithm introduced in the 2011 Google
Bogosort
Random measure in probability theory
converges to P(A) almost surely for fixed A. Similarly P n f {\displaystyle P_{n}f} converges to E f {\displaystyle \mathbb {E} f} almost surely for a fixed
Empirical_measure
Time fuze used by British Special forces
batches be used together. That way if one detonator fails the other will almost surely blow the charge. Note that if both detonators were going to work, the
Pencil_detonator
American filmmaker and author (born 1954)
"Moore's surprising and extraordinarily winning Where to Invade Next will almost surely cast his detractors at Fox News and similar sinkholes into consternation"
Michael_Moore
Statistical test comparing two probability distributions
the sample comes from the distribution F(x), then Dn converges to 0 almost surely in the limit when n {\displaystyle n} goes to infinity. Kolmogorov strengthened
Kolmogorov–Smirnov_test
Collection of Srinivasa Ramanujan's discoveries in mathematics
where he probably received the manuscripts of the lost notebook. ... Almost surely, this manuscript, or at least most of it, was written during the last
Ramanujan's_lost_notebook
{\textstyle {\mathbf {x}}'} . Common abbreviations include: a.e. almost everywhere a.s. almost surely cdf cumulative distribution function cmf cumulative mass
Notation in probability and statistics
Notation_in_probability_and_statistics
Graph defined from a set of points in the Euclidean plane
fewer vertices than the threshold is given, the remaining graph will almost surely have only finite connected components, while if the size of the random
Gabriel_graph
Theorem in probability theory
k − X k − 1 | ≤ c k , {\displaystyle |X_{k}-X_{k-1}|\leq c_{k},\,} almost surely. Then for all positive integers N and all positive reals ϵ {\displaystyle
Azuma's_inequality
Inequality between integrals in Lp spaces
Y | | G ] ≤ ( E [ | X | p | G ] ) 1 p ( E [ | Y | q | G ] ) 1 q P -almost surely. {\displaystyle \mathbb {E} {\bigl [}|XY|{\big |}\,{\mathcal {G}}{\bigr
Hölder's_inequality
1851 novel by Herman Melville
boundaries by the solid realism of the whaling context. Ripley was almost surely also the author of the review in Harper's for December, which saw in
Moby-Dick
Collection of random variables
resulting stochastic process is said to have drift μ {\displaystyle \mu } . Almost surely, a sample path of a Wiener process is continuous everywhere but nowhere
Stochastic_process
Separation of North and South Korea
parallel. Rusk later stated that if he had known Korean history, he "almost surely" would have chosen a different line. The division placed sixteen million
Division_of_Korea
Probability equation in mathematics
{E} [Z]^{2}}}.} This inequality is sharp; equality is achieved if Z almost surely equals a positive constant. In turn, this implies another convenient
Paley–Zygmund_inequality
Inequalities in probability theory
random variables. Suppose that | X i | ≤ M {\displaystyle |X_{i}|\leq M} almost surely, for all i . {\displaystyle i.} Then, for all positive t {\displaystyle
Bernstein inequalities (probability theory)
Bernstein_inequalities_(probability_theory)
1973 D.C. Circuit Court of Appeals case
Criminal Law that if Powell had been decided differently, it would have "almost surely" changed the eventual outcome in Moore. Most courts taking up the issue
United_States_v._Moore_(1973)
Measure of the joint variability
\operatorname {cov} (X,X)=0} implies that X {\displaystyle X} is constant almost surely. In fact these properties imply that the covariance defines an inner
Covariance
Solution to a stochastic differential equation
diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion processes are stochastic in nature
Diffusion_process
Apparent lack of pattern or predictability in events
Sortition Strictly speaking, the frequency of an outcome will converge almost surely to a predictable value as the number of trials becomes arbitrarily large
Randomness
Biblical monarch of ancient Israel
BCE, the biblical description of his apparent empire's lavishness is almost surely an anachronistic exaggeration. As for Solomon himself, scholars on both
Solomon
ALMOST SURELY
ALMOST SURELY
Male
English
Scottish surname transferred to English forename use, from the medieval Swedish personal name Lagman, LAMONT means "lawman."
Boy/Male
Hawaiian
Strong (Hawaiian interpretation of the name Amos).
Boy/Male
German
Power of an Eagle
Girl/Female
Afghan, Arabic, German, Gujarati, Hindu, Indian, Kannada, Kurdish, Malayalam, Marathi, Muslim, Parsi, Punjabi, Sikh, Sindhi
A Diamond; Adamant; Brightness
Girl/Female
Arabic, Muslim
Diamond
Girl/Female
Swedish
Pearl.
Girl/Female
Biblical
Hidden.
Girl/Female
German
Of Noble Spirit
Surname or Lastname
English
English : ostensibly a topographic name containing Middle English cott, cote ‘cottage’ (see Coates). In fact, however, it is generally if not always an alteration of Alcock, in part at least for euphemistic reasons.Louisa May Alcott (1832–88), author of Little Women (1869), was the daughter of Amos Bronson Alcott (1799–1888), who had changed the family name from Alcox. The family trace their descent from an Alcocke family who emigrated from England to MA with John Winthrop in 1629.
Girl/Female
Indian
A diamond
Boy/Male
British, English
From the Old Cottage
Boy/Male
Czech, Czechoslovakian, German
Determined; Stubborn; Sincere
Boy/Male
Christian & English(British/American/Australian)
Lawyer
Boy/Male
American, Australian, Chinese, Christian, Jamaican, Norse, Scandinavian, Scottish
Lawyer; Law Man; Man of Law
Boy/Male
Czech
Determined; stubborn.
Boy/Male
American, British, English
From the Old Cottage
Boy/Male
Norse Scandinavian American Gaelic Scottish
Lawyer.
Girl/Female
Muslim
Diamond. Adamant.
Boy/Male
Scandinavian
Surname.
Male
Egyptian
, child of the moon.
ALMOST SURELY
ALMOST SURELY
Girl/Female
Tamil
Ray of light, Brightness
Boy/Male
Buddhist, Indian
Universal Principle
Boy/Male
Arabic, Muslim
Light of the Truth i.e Allah
Girl/Female
Arabic
Benefit.
Boy/Male
Tamil
Ilashpasti | இலாஷà¯à®ªà®¸à¯à®¤à¯€
Lord of the earth
Boy/Male
Indian, Sanskrit
The Crystalline Mountain
Boy/Male
Indian, Punjabi, Sikh
True and Immaculate One
Boy/Male
Biblical
He that anoints.
Girl/Female
Tamil
Life, Born
Surname or Lastname
English
English : habitational name from any of the numerous places called Charlton, mainly in southern England, from Old English Ceorlatūn ‘settlement (Old English tūn) of the peasants’. Old English ceorl denoted originally a free peasant of the lowest rank, later (but probably already before the Norman conquest) a tenant in pure villeinage, a serf or bondsman.Irish : altered form of Carlin.
ALMOST SURELY
ALMOST SURELY
ALMOST SURELY
ALMOST SURELY
ALMOST SURELY
n.
Alms.
v. t.
Parted with; no longer held or possessed; as, a lost limb; lost honor.
adv.
Almost.
a.
Most distant; farthest.
v. t.
Not employed or enjoyed; thrown away; employed ineffectually; wasted; squandered; as, a lost day; a lost opportunity or benefit.
a.
Situated at the farthest point or extremity; farthest out; most distant; extreme; as, the utmost limits of the land; the utmost extent of human knowledge.
v. t.
Ruined or destroyed, either physically or morally; past help or hope; as, a ship lost at sea; a woman lost to virtue; a lost soul.
n.
The most that can be; the farthest limit; the greatest power, degree, or effort; as, he has done his utmost; try your utmost.
n.
The European shad (Clupea alosa); -- called also allice shad or allis shad. The name is sometimes applied to the American shad (Clupea sapidissima). See Shad.
adv.
Nearly; well nigh; all but; for the greatest part.
a.
Being in the greatest or highest degree, quantity, number, or the like; greatest; as, the utmost assiduity; the utmost harmony; the utmost misery or happiness.
adv.
Almost; nearly.
adv.
Closely; nearly; almost.
n.
The tree that bears the fruit; almond tree.
adv.
Nearly; almost; much.
n.
Anything shaped like an almond.
v. t.
Hardened beyond sensibility or recovery; alienated; insensible; as, lost to shame; lost to all sense of honor.
v. t.
Having wandered from, or unable to find, the way; bewildered; perplexed; as, a child lost in the woods; a stranger lost in London.
n.
The fruit of the almond tree.
v. t.
Not perceptible to the senses; no longer visible; as, an island lost in a fog; a person lost in a crowd.