Search results with tag "Columbia university"
3.Consumer Problem 3 - Columbia University
www.columbia.eduIntermediate Microeconomics W3211 Lecture 3: Preferences and Choice Columbia University, Spring 2016 Mark Dean: mark.dean@columbia.edu 1 Introduction 2 The Story So Far…. • So far, we have described consumer choice as constrained optimization: 1. CHOOSE a consumption bundle 2. IN ORDER TO MAXIMIZE preferences 3. SUBJECT TO the budget constraint
Viral Pathogenesis - Columbia University
www.columbia.edusandflies. Even deeper inoculation, into the tissue and muscle below the dermis, can occur by hypodermic needle punctures, body piercing or tattooing, animal bites, or sexual contact when body fluids are mingled through skin abrasions or ulcerations. In contrast to the strictly localized replication of viruses in the
Minimum Cost Flow - Columbia University
www.columbia.eduMinimum Cost Flow Notations: Directed graph G= (V;E) Let u denote capacities Let c denote edge costs. A ow of f(v;w) units on edge (v;w) contributes cost c(v;w)f(v;w) to the objective function. Di erent (equivalent) formulations Find the maximum ow of minimum cost. Send x units of ow from s to t as cheaply as possible.
The Birth-Mark - Columbia University
www.columbia.eduCrimson Hand expressed the ineludible gripe, in which mortality clutches the highest and purest of earthly mould, degrading them into kindred with the lowest, and even with the very brutes, like whom their visible frames return to dust. In this manner, selecting it as
MR. BENNETT AND MRS. BROWN - Columbia University
www.columbia.eduMR. BENNETT AND MRS. BROWN' IT seems to me possible, perhaps desirable, that I may be the only person in this room who has committed the …
Expected Value The expected value of ... - Columbia University
www.columbia.eduMeans, modes, and medians Best estimate under squared loss: mean i.e., the number m that minimizes E[(X-m)^2] is m=E(X). Proof: expand and differentiate with respect to m. Best estimate under absolute loss: median. i.e., m=median minimizes E[|X-m|]. Proof in book. Note that median is nonunique in general. Best estimate under 1-1(X=x) loss: mode.
1 The Newsvendor Problem - Columbia University
www.columbia.eduIEOR 4000: Production Management page 2 Professor Guillermo Gallego If F is continuous then there is at least one Q satisfying Equation (2). We can select the smallest such solution by letting Q⁄ = inffQ ‚ 0 : F(Q) ‚ flg: (3) It is clear that Q⁄, selected this way, is increasing in fl and therefore it is increasing in b and decreasing in h. If F is strictly increasing then F has an ...
3.4 Covalent Bonds and Lewis Structures - Columbia University
www.columbia.edu•Ozone (O3) –Lewis structure of ozone shows one double bond and one single bond Expect: one short bond and one long bond Reality: bonds are of equal length (128 pm) Example O …
3. Angular Momentum States. - Columbia University
www.columbia.eduJul 27, 1999 · a spherical top or gyroscope spinning about an axis with a moment of inertia, I, and an angular velocity, v (the moment of inertia is related to a radius of gyration, r, rotating about the center of mass). Let the orbital angular momentum be symbolized by L and the spin angular momentum of a single. 3.
Koreans in Japan (Zainichi Koreans) - Columbia University
www.columbia.edufaded over time. Zainichi Koreans, now in their fourth generation, are permanent residents of Japan, and many of them no longer have a desire to go back. Despite this, the term has survived, reflecting the reality of institutional discrimination by the Japanese state and Japanese society. Nationality of Zainichi Koreans
Forwards, Swaps, Futures and Options - Columbia University
www.columbia.eduow given the current term-structure of interest rates and we will often make use of this observation when pricing forwards and swaps. Pricing securities with stochastic cash-ows is more complicated and requires more sophisticated no-arbitrage or equilibrium methods. The binomial model of Section 4, however, provides a simple yet important model for
The Black-Scholes Model - Columbia University
www.columbia.eduBS() is the Black-Scholes formula for pricing a call option. In other words, ˙(K;T) is the volatility that, when substituted into the Black-Scholes formula, gives the market price, C(S;K;T). Because the Black-Scholes formula is continuous and increasing in ˙, there will always4 be a unique solution, ˙(K;T). If the Black-Scholes
1 IEOR 4700: Notes on Brownian Motion - Columbia University
www.columbia.eduvariance t. Similarly, using the stationary and independent increments property, we conclude that B(t)−B(s) has a normal distribution with mean 0 and variance t−s, and more generally: the limiting BM process is a process with continuous sample paths that has both stationary and independent normally distributed (Gaussian) increments: If t 0 ...
Teratogens and Their Effects - Columbia University
www.columbia.edudeposited in the embryo in bones and teeth. Tetracycline exposure can result in yellow staining of the primary or deciduous teeth and diminished growth of the long bones. Tetracycline exposure after birth has similar effects. Anticonvulsant agents such as phenytoin produce the fetal hydantoin syndrome
2018 ENVIRONMENTAL PERFORMANCE INDEX - Yale …
epi.yale.eduColumbia University In collaboration with the World Economic Forum With support from The McCall MacBain Foundation and Mark T. DeAngelis ... diseases related to airborne pollutants contributed to two-thirds of all life- years lost to environmentally related deaths and …
Young Goodman Brown - Columbia University
www.columbia.eduYOUNG GOODMAN BROWN came forth at sunset, into the street of Salem village, but put his head back, after crossing the threshold, to exchange a parting kiss with his young wife. And Faith, as the wife was aptly named, thrust her own pretty head into the street,
Language and Social Behavior - Columbia University
www.columbia.educomplex, organized systems that operate in concert. A particular act of speaking can be examined with respect to any of these systems (G. Miller, 1975), and each level of analysis can have significance for social behavior. For example, languages are made up of four systems—the phonological, the morphological, the syntactic, and the
Classification of Malocclusion - Columbia University
www.columbia.eduplane angle and a straight profile. DOLICOCEPHALIC describes an individual that has a narrower cranial width and usually presents with a long, narrow shape and high mandibular plane angle. DOLICOFACIAL is an individual that has a long, narrow face with a high mandibular plane angle, convex profile, poor
Cytotoxic T lymphocytes and natural ... - Columbia University
www.columbia.eduKiller cells: CD8+ T cells (adaptive) vs. natural killer (innate) Shared purpose: protect the host from viral, bacterial and parasitic infection recognize and destroy malignant cells Shared mechanisms of cytotoxicity and similar cytokine secretion profiles Distinct modes …
Ho Chi Minh (1890-1969) - Columbia University
www.columbia.eduthe Indochinese Communist Party (ICP). 1931 Ho was arrested in Hong Kong by British authorities for his involvement in revolutionary activities and was imprisoned for two years. After he was released, Ho returned to Moscow where he would remain until 1938. 1938 Ho traveled to China to serve as a military advisor for the Chinese Communist Party
Expected Utility Theory - Columbia University
www.columbia.eduBernoulli argued that people should be maximizing expected utility not expected value u( x) is the expected utility of an amount Moreover, marginal utility should be decreasing The value of an additional dollar gets lower the more money you have For example u($0) = 0 u($499,999) = 10 u($1,000,000) = 16
Capital Markets and Investments - Columbia University
www.columbia.eduSid has nearly two decades of experience in the financial services industry, both buy-side and sell-side, across ... very readable book covering the essentials of capital markets and investments. It nicely covers the big three – fixed income, equities, and options – at a mathematical level that is typically just short of using calculus ...
Experiment 7: Spectrum of the ... - Columbia University
www.columbia.eduVisible light PHYS 1493/1494/2699: Exp. 7 – Spectrum of the Hydrogen ... Absorption spectroscopy: Shine a range of various wavelength radiation on a sample and measure the wavelengths that get absorbed (excitation of atoms). ... in the ultraviolet region-13.6 eV
LINGO 8.0 TUTORIAL - Columbia University
www.columbia.edu1 Introduction to LINGO 8.0 LINGO is a software tool designed to efficiently build and solve linear, nonlinear, and integer optimization models.
Types of mutations - Columbia University
www.columbia.edu• XP-G incises DNA 3' to the damaged site • XP-V protein is a low-fidelity class Y DNA polymerase, that can replicate UV-induced pyrimidine dimers in vivo with the insertion of the correct bases in the daughter strand • CSA likely participates in a CSB/RNA polII complex stalled at damaged sites in transcriptionally active DNA that helps
Expected Utility Theory - Columbia University
www.columbia.eduExpected Utility Theory is the workhorse model of choice under risk Unfortunately, it is another model which has something unobservable The utility of every possible outcome of a lottery So we have to –gure out how to test it We have already gone through this process for the model of ™standard™(i.e. not expected) utility maximization
A function of a random variable - Columbia University
www.columbia.edumore complicated, involving calculus for computations. The expected value of a continuous probability distribution P with density f is expected value = mean = Z s2S xf(x)dx : The expected value of a continuous random variable X with pdf fX is E[X] = Z 1 ¡1 xfX(x)dx = Z X(s)f(s)ds ; where f is the pdf on S and fX is the pdf \induced" by X on R.
A Psalm of Life - Columbia University
www.columbia.eduA Psalm of Life TELL me not, in mournful numbers, Life is but an empty dream! — For the soul is dead that slumbers, And things are not what they seem. Life is real! Life is earnest! 5 And the grave is not its goal; Dust thou art, to dust returnest, Was not spoken of the soul. Not enjoyment, and not sorrow, Is our destined end or way; 10
ORIGINS OF EPIDEMIOLOGY - Columbia University
www.columbia.eduPresident. At the time, statistics meant the science of social reform, and it encompassed questions about the population and its health on the one hand, and ... traditional parish-based welfare payments for the destitute, substituting a harsh and punitive system of relief which depended on the notorious workhouses. The new
The Hollow Men, by T.S. Elliot - Columbia University
www.columbia.eduThose who have crossed With direct eyes, to death's other Kingdom ... Form prayers to broken stone. IV The eyes are not here There are no eyes here In this valley of dying stars In this hollow valley This broken jaw of our lost kingdoms In this last of meeting places We grope together and avoid speech ...
1 Inverse Transform Method - Columbia University
www.columbia.edu1 Inverse Transform Method Assuming our computer can hand us, upon demand, iid copies of rvs that are uniformly dis-tributed on (0;1), it is imperative that we be able to use these uniforms to generate rvs of any desired distribution (exponential, Bernoulli etc.). The rst …
Film and Theory - Columbia University
www.columbia.eduAs John Ellis has pointed out, central to the practices of the film industry is the . construction of a "narrative image" for each individual film: "An idea of the film . is widely circulated and promoted, an idea which can be called the 'narrative . image' of the film, the cinema's anticipatory reply to the question, 'What is the
The Speech Chain - Columbia University
www.columbia.edupistol in aloo-yard dash, the sign language used by deaf people, the Morse Code and various systems of writing are just a few examples of the many different systems of communication that have evolved to meet special needs. Unquestionably, however, speech is the system that human societies have found, under most circumstances, to be far
Introduction to Virology - Columbia University
www.columbia.eduIntroduction to Virology Scott M. Hammer, M.D. Landmarks in Virology • Introduction of concept of ‘filterable agents’ for plant pathogens (Mayer, Ivanofsky, Beijerinck in late 1880’s) • First filterable agent from animals described – foot and mouth disease virus (Loeffler and Frosch in 1898) • First human filterable agent ...
26.7 Terpenes: The Isoprene Rule - Columbia University
www.columbia.edu(lemon grass) O H OH. Figure 26.6 Representative Monoterpenes α-Phellandrene (eucalyptus) Menthol (peppermint) Citral (lemon grass) O H OH. Figure 26.6 Representative Monoterpenes α-Phellandrene (eucalyptus) Menthol (peppermint) Citral (lemon grass) Figure 26.6 Representative Sesquiterpenes α-Selinene (celery) H.
Probability Weighting - Columbia University
www.columbia.eduweighting model described above. 2% is just 2%, and so must always be overweighted or always be underweighted. 4 i.e. for any ∈R, ( ) is the probability of getting an outcome less than accordingtolottery .
Bernoulli trials - Columbia University
www.columbia.eduBernoulli trials An experiment, or trial, whose outcome can be classified as either a success or failure is performed. X = 1 when the outcome is a success
Formation of Urine: Formation of Urine - Columbia University
www.columbia.edumesenchymal cell types is crucial for organ formation Reciprocal Signaling is required for branching morphogenesis and for nephron differentiation during renal development co-culture experiments demonstrate reciprocal signaling between ureteric bud epithelial and nephron progenitors nephron induction branching morphogenesis
Positive Direct Antiglobulin Test ... - Columbia University
www.columbia.edu1 Positive Direct Antiglobulin Test and Autoimmune Hemolytic Anemias Jeffrey S. Jhang, M.D. Assistant Professor of Clinical Pathology College of Physicians and Surgeons
1Factor Models - Columbia University
www.columbia.edu1Factor Models The Markowitz mean-variance framework requires having access to many parameters: If there are n risky assets, with rates of return r i,i=1,2,...,n,then we must know all the n means (r i), n variances (σ2 i) and n(n − 1)/2covariances (σ ij) for a total of 2n + n(n − 1)/2 parameters.If for example n = 100 we would need 4750 parameters, and if n = 1000 we would …
4.Consumer Problem 4 - Columbia University
www.columbia.eduL 5 T 5+ L 6 T 6 L U 2. The slopes of the indifference curve and the budget line are the same i.e. the Marginal Rate of Substitution equals the ratio of prices This is the tangency condition 15 Rational Constrained Choice x1 x2 x1* x2* Slope of the indifference curve: (Negative of the) MRS Slope of the budget line: F L 5 W L 6 16
Robust Principal Component Analysis? - Columbia University
www.columbia.edu—Latent Semantic Indexing. Web search engines often need to analyze and index the content of an enormous corpus of documents. A popular scheme is the Latent Semantic Indexing (LSI) [Dewester et al. 1990; Papadimitriou et al. 2000]. The basic
Dixit-Stiglitz lite - Columbia University
www.columbia.eduof introducing monopolistic competition and increasing returns. The simplest means of introducing increasing returns is to assume that the production of a good involves a xed cost in addition to a constant marginal cost, so that the average cost is ... does not a ect the price index Psince there is a continuum of rms: 4. @q @p
Synthesis of Aspirin - Columbia University
www.columbia.eduEnols: Hydroxyl derivatives of unsaturated hydrocarbons ROH H3COH methanol OH ethanol OH R R enol OH phenol. Organic background Carboxylic acids O H OH O OH H.C O OH formic acid acetic acid benzoic acid R O OH. Organic background Esterification R1 OH O HO R2 R1 O O R2 carboxylic acid alcool ester H+ + This is an equilibrium!
Credit Risk Models - Columbia University
www.columbia.eduFeb 08, 2021 · Lecture notes on risk management, public policy, and the financial system Credit risk models ... Factor models: company, industry, economy-wide fundamentals, but ... Conditional independence in the single-factor model 15/32. Credit risk models
Social norms and social influence - Columbia University
www.columbia.edulife; the list is endless. The foundations human organism is built for social norms. The ofsocial normsin imitation and learn-ing are common to all primates [1], and are especially developed tures in humans [2 ]. Well-developed brain struc-support awareness ofothers (e.g., facial recognition [3]; mirror neurons [4]), and human language capacity ...
CONTINUOUS-TIME MARKOV CHAINS - Columbia University
www.columbia.eduHere is how the chapter is organized: We start in §2 by discussing transition probabilities and the way they can be used to specify the finite-dimensional distributions, which in turn specify the probability law of the CTMC.
The Rig Veda - Columbia University
www.columbia.eduTHE RIG VEDA The Rig Veda is the oldest of the four Vedas. It consists of hymns which are generally thought to have been composed between 1500 and 1000 BCE, although this chronology has been challenged lately, and it is possible that
Columbia University in the City of New York
www.columbia.eduCreated Date: 12/6/2004 11:45:00 AM
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