Finding a function ρ ( t ) to check (1.5) with is not easy, but the following proposition quite simplifies that task.
Although, for the proof of Theorem 1, we simply need the value C C F ( M, 0, 2 ), we would like to compute C C F ( M, m, p ) for general p and m since the proof presented in Section 4 does not depend on special values of p and m and quite simplifies the proof of Theorem 1 of [15].
Multivariate global sensitivity analysis (GSA) plays an important role in quantifying the contribution of uncertainty in the model input to the output, which is quite useful for simplifying the models and improving the model performance.
At the risk of simplifying things quite a bit, he takes all the new polling numbers that are published every day, weights them according to how reliable he considers the survey, adjusts them to reflect some other factors — such as how likely each party's supporters are to vote — and converts them into projected-vote shares at the state and national level.
As you can see from the first image below, the design has been simplified quite a bit.
Prior to Deism, "The earth... and all its fullness" belonged to God (Psalms 24:1), and people had inherent worth because they bore the divine image (naturally, I am simplifying the history quite a bit).
You'd be simplifying the last seven years of my life quite remarkably, but you might.
Simplifying this problem, as Dr W beautifully illustrates here, helps quite a bit.
If I simplify things quite a lot, it lets anyone create and run a VPN server on DigitalOcean, and then grant your team access to this server.
With ARKit support, Apple's augmented reality platform simplifies things quite a bit for users and brings people to the app without having to buy hardware.
