• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Firing Theory - Naval Postgraduate School
Firing Theory - Naval Postgraduate School

Combinatorial Optimization Algorithms via Polymorphisms
Combinatorial Optimization Algorithms via Polymorphisms

Picturing Probability: the poverty of Venn diagrams, the richness of
Picturing Probability: the poverty of Venn diagrams, the richness of

... not refer to them as such until the book’s next edition in 1968, and then only as “so-called Venn diagrams”. Even by 1969, the published use of Venn diagrams for probability was by no means common. In more recent years, some authors of introductory probability texts have called just about any diagr ...
Generalized Gauss Inequalities via Semidefinite Programming
Generalized Gauss Inequalities via Semidefinite Programming

... This result is powerful because the SDP reformulation of the worst-case probability problem is exact and can be solved in polynomial time using modern interior point methods [41]. Moreover, the equivalent SDP can conveniently be embedded into higher-level optimization problems such as distributional ...
The Flawed Probabilistic Foundation of Law and Economics
The Flawed Probabilistic Foundation of Law and Economics

Chapter 15 Probability - Huntington Union Free School District
Chapter 15 Probability - Huntington Union Free School District

... A single attempt at doing something, such as tossing a coin only once, is called a trial. We perform experiments in probability by repeating the same trial many times. Experiments are aimed at finding the probabilities to be assigned to the occurrences of an event, such as heads coming up on a coin. ...
Existence and construction of edge disjoint paths on
Existence and construction of edge disjoint paths on

Sec 28-29
Sec 28-29

Probability in computing - Computer Science
Probability in computing - Computer Science

De Morgan and Laplace: A Tale of Two Cities
De Morgan and Laplace: A Tale of Two Cities

pdf
pdf

... conditioning on formulas involving unary predicates only (but no equality). In this case, he proves that the asymptotic conditional probability does exist and can be effectively computed, even if the left side of the conditional has predicates of arbitrary arity and equality. We extend the results o ...
A Martingale Central Limit Theorem
A Martingale Central Limit Theorem

The Complexity of Unique k-SAT: An Isolation
The Complexity of Unique k-SAT: An Isolation

Dynamic Generation of Scenario Trees
Dynamic Generation of Scenario Trees

... is uniquely determined except on a countable set. As P has a Lebesgue density the exception set has measure zero and the integral is well defined. That (6) is indeed the derivative, as well as the second assertion follow by standard means or from Pflug [16, Corollary 3.52, page 184]. ...
CONDITIONAL EXPECTATION Definition 1. Let (Ω,F,P) be a
CONDITIONAL EXPECTATION Definition 1. Let (Ω,F,P) be a

... Although it is short and elegant, the preceding proof relies on a deep theorem, the RadonNikodym theorem. In fact, the use of the Radon-Nikodym theorem is superfluous; the fact that every L 1 random variable can be arbitrarily approximated by L 2 random variables makes it possible to construct a sol ...
On independent random oracles - Department of Computer Science
On independent random oracles - Department of Computer Science

... If A and B are independent random languages, it is easy to see that A B 2 RAND. However, the converse does not hold. For example, A  A is not random, even if A is random. The class BPP, rst dened by Gill 5], consists of those decision problems A for which there exist a polynomial time-bounded pr ...
RANDOM MATCHING PROBLEMS ON THE COM- PLETE GRAPH
RANDOM MATCHING PROBLEMS ON THE COM- PLETE GRAPH

... vertices are unexposed. We have the following information: 1. We know the costs of all edges between exposed vertices. 2. For each exposed vertex v, we also know the minimum cost of the edges connecting v to the unexposed vertices. 3. Finally, we know the minimum cost of all edges connecting two une ...
CONDITIONAL EXPECTATION Definition 1. Let (Ω,F,P) be a
CONDITIONAL EXPECTATION Definition 1. Let (Ω,F,P) be a

The history of the central limit theorem
The history of the central limit theorem

Pdf file - distribution page
Pdf file - distribution page

What Could Be Objective About Probabilities
What Could Be Objective About Probabilities

What Could Be Objective About Probabilities
What Could Be Objective About Probabilities

Discrete Probability Distribution
Discrete Probability Distribution

Lecture 8
Lecture 8

... to a hypothesis class with bounded VC dimension or a bounded Rademacher complexity. Another approach is the Minimum Description Length (MDL) and Occam bounds in which we allow a potentially very large hypothesis class but define a hierarchy over hypotheses and prefer to choose hypotheses that appear ...
Abstract The language and constructions of category theory have
Abstract The language and constructions of category theory have

< 1 ... 26 27 28 29 30 31 32 33 34 ... 235 >

Ars Conjectandi



Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report