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In mathematics, particularly, in analysis, Carleman's condition gives a sufficient condition for the determinacy of the moment problem. That is, if a
Carleman's_condition
Swedish mathematician
x. In the mid-1920s, Carleman developed the theory of quasi-analytic functions. He proved the necessary and sufficient condition for quasi-analyticity
Torsten_Carleman
Trying to map moments to a measure that generates them
{\textstyle \mu _{n}\rightarrow \mu } in distribution. By checking Carleman's condition, we know that the standard normal distribution is a determinate measure
Moment_problem
Carleman's equation is a Fredholm integral equation of the first kind with a logarithmic kernel. Its solution was first given by Torsten Carleman in
Carleman's_equation
Probability problem
(Reed & Simon 1975, p. 205). This follows from the more general Carleman's condition. There are examples where the solution is not unique; see e.g. The
Hamburger_moment_problem
Measure of the shape of a function
\alpha _{k}=E\left[X^{k}\right]} it is sufficient, for example, that Carleman's condition be satisfied: ∑ k = 1 ∞ 1 α 2 k 1 / 2 k = ∞ {\displaystyle \sum _{k=1}^{\infty
Moment_(mathematics)
the Hilbert–Carleman determinant can be defined even when this condition fails. Similarly to the Fredholm determinant, the Hilbert–Carleman determinant
Hilbert–Carleman_determinant
functions of random variables Moment problem Hamburger moment problem Carleman's condition Hausdorff moment problem Trigonometric moment problem Stieltjes moment
List_of_probability_topics
Probability problem
_{n}^{(1)}\right)=0.} There are several sufficient conditions for uniqueness. Carleman's condition: The solution is unique if ∑ n ≥ 1 m n − 1 / ( 2 n ) = ∞ . {\displaystyle
Stieltjes_moment_problem
problem Expected value / (12:DCR) Canonical correlation / (F:R) Carleman's condition / anl (1:R) Central moment / (1:R) Coefficient of variation / (1:R)
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
of energy Carleman's condition — condition guaranteeing that a measure is uniquely determined by its moments Krein's condition — condition that exponential
List of numerical analysis topics
List_of_numerical_analysis_topics
Quantum algorithm for solving systems of linear equations
and Grover's search algorithm. Assuming the system is sparse, has a low condition number κ {\displaystyle \kappa } , and that the user is only interested
HHL_algorithm
Croatian–American mathematician
fascism at the universities. He reported that the mathematician Torsten Carleman would offer his opinion that Jews and foreigners should be executed. After
William_Feller
Result of repeatedly applying a mathematical function
S2CID 119675869. Berkolaiko, G.; Rabinovich, S.; Havlin, S. (1998). "Analysis of Carleman Representation of Analytical Recursions". J. Math. Anal. Appl. 224: 81–90
Iterated_function
Mathematical compact operator
non-zero real eigenvalues λn satisfy the following identities proved by Carleman (1921): t r K 2 = ∑ λ n 2 , det ( I − z K 2 ) = ∏ n = 1 ∞ ( 1 − z λ n 2
Symmetrizable compact operator
Symmetrizable_compact_operator
are locally convex vector spaces satisfying a very mild completeness condition. Traditional differential calculus is effective in the analysis of finite-dimensional
Convenient_vector_space
CARLEMANS CONDITION
CARLEMANS CONDITION
Male
German
Variant spelling of German Carloman, KARLMANN means "man."
Boy/Male
Indian
Can Travel in All Climatic Conditions
Girl/Female
Hindu
Good or Happy condition, Solution
Girl/Female
Tamil
Good or Happy condition, Solution, Fortune
Girl/Female
Indian
Circumstance, Period of life, Wick, Condition, Degree
Girl/Female
Tamil
Good or Happy condition, Solution
Boy/Male
Arabic
State; Condition
Surname or Lastname
Dutch
Dutch : variant of Clemens.English : patronymic from the personal name Clement.Americanized spelling of German Klemens.
Girl/Female
Tamil
Circumstance, Period of life, Wick, Condition, Degree
Girl/Female
Hindu
Good or Happy condition, Solution, Fortune
Boy/Male
Tamil
Can travel in all climatic conditions
Boy/Male
African, Arabic, Australian, Greek, Swahili
Unique; Graceful; Kind; Sweet; The Beautiful Ocean; Loving; Forgiving; Content; Delighted; Beauty; Perfect; State; Handsome; Condition; The Sea
Boy/Male
Bengali, Indian
Sleepless; Condition of Being Awake; One who Conquers Sleep
CARLEMANS CONDITION
CARLEMANS CONDITION
Girl/Female
Afghan, American, Arabic, British, Christian, English, French, German, Gujarati, Hebrew, Hindu, Indian, Jewish, Kannada, Latin, Malayalam, Muslim, Parsi, Telugu
Divine; God Like; Jacob's Daughter; Judgement; Valley; Dinah; Spear Ruler; Silk
Boy/Male
Tamil
Eternally Happy, Blessed
Boy/Male
Sikh
Complete, Perfection
Boy/Male
Tamil
Manishowrya | மாஂநீஷோவà¯à®°à¯à®¯à®¾Â
Boy/Male
Hindu, Indian, Kannada, Marathi, Tamil
Faith
Boy/Male
Tamil
The Moon
Boy/Male
Tamil
Prayer of God
Boy/Male
Tamil
Khathiravan | காதீராவண
The Sun
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord Indra
Girl/Female
Australian, French
Woodland
CARLEMANS CONDITION
CARLEMANS CONDITION
CARLEMANS CONDITION
CARLEMANS CONDITION
CARLEMANS CONDITION
n.
To invest with, or limit by, conditions; to burden or qualify by a condition; to impose or be imposed as the condition of.
a.
Surrounded; circumstanced; in a certain state or condition, as of property or health; as, a well conditioned man.
v. t.
To qualify by conditions; to regulate.
n.
The quality of being conditional, or limited; limitation by certain terms.
n.
The feast of St. Martin, the eleventh of November; -- often called martlemans.
p. pr. & vb. n.
of Condition
adv.
Conditionally.
v. t.
To put under conditions; to render conditional.
n.
A condition of belligerency to be maintained by physical force. In this sense, levying war against the sovereign authority is treason.
n.
The state of being under guard or guardianship; confinement under guard; the condition of a child under a guardian; custody.
imp. & p. p.
of Condition
adv.
In a conditional manner; subject to a condition or conditions; not absolutely or positively.
n.
A conditional word, mode, or proposition.
v. t.
Conditional.
v. i.
The state of not having; the condition of being without anything; absence or scarcity of what is needed or desired; deficiency; lack; as, a want of power or knowledge for any purpose; want of food and clothing.
a.
Containing, implying, or depending on, a condition or conditions; not absolute; made or granted on certain terms; as, a conditional promise.
a.
Expressing a condition or supposition; as, a conditional word, mode, or tense.
a.
Having, or known under or by, conditions or relations; not independent; not absolute.
v. i.
To impose upon an object those relations or conditions without which knowledge and thought are alleged to be impossible.
n.
To put under conditions; to require to pass a new examination or to make up a specified study, as a condition of remaining in one's class or in college; as, to condition a student who has failed in some branch of study.