If we let be a random sign function (so the are independent random variables taking values in with equal probability), then there is a random such that and hence by the pigeonhole principle there is a deterministic such that On the other hand, from the Hoeffding inequality one has for...
Strictly speaking, “in the direction towards the Sun” is more accurate than “directly towards the Sun”; it tilts at about 23.5 degrees towards the Sun, but it is not a total 90-degree tilt towards the Sun. 5:39 Wait, aren’t there two tropics? The tropic of Cancer and the ...
Consider a utility function {eq}U(x, y) = x^{1/3}y^{2/3} {/eq}, what is the absolute value of MRS (x over y) at the point (x, y) = (5,10)? Marginal Rate of Substitution: The marginal rate of substitution is the sl...
In this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a martingale diffusion, which of these processes has maximum entropy and hence gives the most excitement for the spectators?
Using the classify and differentiate method , a concave polygon is defined as the type of polygon which forms at least one interior angle using its... Learn more about this topic: Convex vs. Concave Polygons | Overview, Differences & Examples ...
The Deep Ritz method (DRM) [42], where the loss is defined as the energy of the problem’s solution. Then there approaches based on the Galerkin method, or Petrov–Galerkin method, where the loss is given by multiplying the residual by a test function, and when is the volumetric residual...
It is not a straight angle. The angle that appears is acute and convex. It is an angle that measures 180º.If you would like access to real interactive exercises, register with Smartick, the online learning method for children ages 4 to 14 to learn math, and get started today!Fun...
Given that C=(1-t)Y+tU and C is a function of t, how would you find the value of t that maximizes C? Consider the Function: y= f(x) = a + bx+ cx^2 What is dy/dx when x=25, a= 139, b = -13, c = 4? (nearest Integer) Given th...
function and assuming that the long-run demand rate is a decreasing, strictly convex function of the customer's "disappointment factor" (defined as the complement of the demand fill rate) following a stockout, which in turn is an increasing, strictly convex function of the demand fill rate. ...
Here is the fibring identity: Proposition 5 (Fibring identity) Let be a homomorphism. Then for any independent -valued random variables , one has The proof is of course in the blueprint, but given that it is a central pillar of the argument, I reproduce it here. Proof: Expanding ...