Economics 103 – Statistics for Economists
... The outcome of that roll doesn’t tell us anything about whether he has rolled the dice before, just like six heads in a row doesn’t mean we’re “due” for a tails. ...
... The outcome of that roll doesn’t tell us anything about whether he has rolled the dice before, just like six heads in a row doesn’t mean we’re “due” for a tails. ...
here. - School of Mathematics
... • (with A. Auffinger) Free energy and complexity of spherical bipartite models. J. Stat. Phys., Vol. 157, No. 1, 40–59 (2014) • Chaos in the mixed even-spin models. Comm. Math. Phys., Vol. 328, No. 3, 867-901 (2014) • On the Mixed even-spin Sherrington-Kirkpatrick Model with ferromagnetic interactio ...
... • (with A. Auffinger) Free energy and complexity of spherical bipartite models. J. Stat. Phys., Vol. 157, No. 1, 40–59 (2014) • Chaos in the mixed even-spin models. Comm. Math. Phys., Vol. 328, No. 3, 867-901 (2014) • On the Mixed even-spin Sherrington-Kirkpatrick Model with ferromagnetic interactio ...
Revised_NonCompacting7th_Grade_Math_Curriculum_Guide
... proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. c. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the ...
... proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. c. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the ...
Chapter 10 : Probability 1 Chapter 10 : Probability Probability of an
... • the parts of B get counted once where it does not intersect A, once for where it intersects A Thus the part where A and B intersect (which is the same as where B and A intersect) gets counted twice, whereas the other parts of A and B get counted once, so we need to subtract off one of the extra co ...
... • the parts of B get counted once where it does not intersect A, once for where it intersects A Thus the part where A and B intersect (which is the same as where B and A intersect) gets counted twice, whereas the other parts of A and B get counted once, so we need to subtract off one of the extra co ...
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.