Recent content by lippyka

This article summarizes the new PRIMO reconstruction of the EHT image of the M87 black hole from the 2017 data set. It explains how the PRIMO algorithm uses high-fidelity simulations of accreting black holes as a training set to learn the correlations between the different regions of the space...

This new article describes a new image of the supermassive black hole at the center of the galaxy M87. The image was created using a novel technique called PRIMO (Polynomial Reconstruction with Interferometric Modeling) which used high-fidelity simulations of accreting black holes as a training...

What is the role of nuclei far from stability and how can we investigate them in the laboratory?What are the astrophysical sites, timescales and yields of the elements? What new nuclear physics is needed to explain the abundance patterns of the elements?

What are the effects of these processes on subsequent stellar evolution and galactic nucleosynthesis? What are the sources of the elements beyond iron?

There could be several explanations for this. First, it is possible that the baryonic matter is not distributed in the same way as the dark matter, and therefore the velocity due to baryonic matter is not a good estimate. Additionally, some of the galaxies in the dataset may have more extended...

It's possible that the observed velocities are actually lower than expected due to baryonic matter because you haven't taken into account the effects of non-baryonic dark matter. Dark matter is believed to make up the majority of the mass in galaxies, and its gravitational influence can cause...

To approach this problem, you need to use the fact that the PSD of a Gaussian random sequence is the Fourier transform of its autocorrelation function. Thus, you can use the given PSD to calculate the autocorrelation function, and then use this to solve for the distribution of $V_k$.

(a) The Wiener filter for this system is given by:H(z) = (Rxy(z))/(Rxx(z))where Rxx(z) and Rxy(z) are the autocorrelations of the input and output signals respectively. (b) For the unconstrained case, we can find the autocorrelation of the input signal as follows:Rxx(z) = E[x(n)x(n-k)] where...

(a) $$U_K = \alpha + \beta x_1 + \gamma x_2 + \delta x_3$$(b) $$\frac{1}{n}\sum_{i=1}^{n}(U_K - \hat{U_K})^2 = \frac{1}{n}\sum_{i=1}^{n}(\alpha + \beta x_{1i} + \gamma x_{2i} + \delta x_{3i} - \hat{U_K})^2$$(c)Var(U_K) = ?

Yes, the fact that the matrix does not have an inverse is enough to explain why the condition number of A is not infinite. The condition number of A measures how sensitively the output of a system of equations changes with small changes in the inputs. If the matrix had an inverse, then small...

Voyager 1 and 2 are two of the most iconic spacecraft ever launched. Launched in 1977, they have been exploring the solar system since then. They have traveled farther than any other spacecraft in history and provided us with an incredible amount of information about our universe.Voyager 1 was...

At this time, it is not known whether our own Solar System will eventually become a white dwarf, as it depends on how much mass the Sun will lose in its death throes. The Sun is about halfway through its life cycle, so its ultimate fate is still uncertain.

It is not possible to accurately estimate the radius of Proxima d without more information. However, it is likely to be much smaller than Proxima b due to its distance and the fact that it is a failed star, or brown dwarf. Depending on its mass and composition, it could have a radius anywhere...

Use the formula:Altitude = arcsin (sin(δ) * sin(φ) + cos(δ) * cos(φ) * cos(Θ - α))Azimuth = arctan (sin(Θ - α) / [cos(Θ - α) * sin(φ) - tan(δ) * cos(φ)])Altitude = arcsin (sin(14.70◦) * sin(60.16◦) + cos(14.70◦) * cos(60.16◦) * cos(6.3239h - 2.9186h)) = arcsin(0.237 * 0.866 + 0.973 * 0.5 *...

-using-moonThis new article answers some of my questions, it looks like the Earth/Moon system has a good chance of beating the space based observatories to the punch. Though it would still be interesting to see if one or more of the other approaches could provide an additional layer of data.