Ofir Gorodetsky How many smooth numbers and smooth polynomials are there (NTWS 1 52:44 Paul Nelson The sup norm problem in the level aspect (NTWS 140) 48:17 Peluse_Recording 52:06 Peter Humphries L^p-norm bounds for automorphic forms (NTWS 115) 55:46 Peter Koymans Counting nilp...
Descriptive Statistics.Describe data. Includessample meanorsample median.Order statisticsare a subset of descriptive statistics. They tell you something about how the data is ordered. For example, measurements like the sample minimum. You know the order is #1. Also includes charts and graphs. Anythi...
In an oblique pyramid, are any triangle faces congruent? The area of a rectangle is 40 square feet. What could be the perimeter of the rectangle? A rectangular cube of iron (density = 7,860 kg/cubic m) floats on mercury (density = 13,600...
What is a cubic cost function? What is their profit function P(x)? Consider the following price function: p(x) = 30 - x. Assuming that fixed costs are $150 and variable costs are $15 per unit: (a) What is the revenue function R(x)? (b) What is the linear cost function C(x...
Exercise 9 If are complex numbers, show that the projective cubic curve is nonsingular if and only if the discriminant is non-zero. (When this occurs, the curve is called an elliptic curve (in Weierstrass form), which is a fundamentally important example of a Riemann surface in many areas...
The inverse conjecture for the Gowers norm, GI(s), asserts that such nilsequences are the only obstruction to the Gowers norm being small. Roughly speaking, it goes like this: Inverse conjecture, GI(s). (Informal statement) Suppose that is bounded but has large norm. Then there is an s...
Our goal is to distinguish boundary properties of graphs that make the problem difficult (NP-complete) in this domain. In the present paper, we discover the first boundary class of graphs for the hamiltonian cycle problem in subcubic graphs.vadimv...
So, Mean, Median, Mode - what exactly are they and how are they different from one another? We hear about them a lot, and three of them feel somehow related. However, each has a distinct role in helping us make sense of data sets and numbers more easily. While we won’t go into ...
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What is the volume cubic centimeters of diamond with a mass of 15.1 g? What is the volume of a 70 \ kg bar of silver if its density is 10.5 \ g/cm^3? What are you determining when you calculate volume? A cube that measures 10.0 mm x 10.0 mm x 10.0 mm has a mass of 4.70 g...