The Autler–Townes effect is a phenomenon observed in quantum mechanics and quantum optics, where the presence of a strong electromagnetic field modifies the energy levels of a quantum system, leading to the observation of new spectral features. This effect can be understood as a consequence of coherent coupling between quantum states facilitated by the strong field.

The effective atomic number (EAN) is a concept used primarily in the fields of chemistry and material science to quantify the number of electrons that effectively contribute to a bonding situation in a complex, such as a metal complex or a coordination compound. It provides insight into the stability and electronic structure of the complex. The EAN is calculated based on the following points: 1. **Total Electron Count**: The total number of valence electrons from all the atoms involved in the compound.

There are two such entries, one pointing to .data and the other to .text (section indexes 1 and 2).

TODO what is their purpose?

Electronic Ink such as that found on Amazon Kindle is the greatest invention ever made by man.

Once E Ink reaches reasonable refresh rates to replace liquid crystal displays, the world will finally be saved.

It would allow Ciro Santilli to spend his entire life in front of a screen rather in the real world without getting tired eyes, and even if it is sunny outside.

Ciro stopped reading non-code non-news a while back though, so the current refresh rates are useless, what a shame.

OMG, this is amazing: getfreewrite.com/

This classification is too restrictive, and too South-centered. But if is worth knowing.

L-notation, or "Big L notation," is a method used in algorithm analysis to describe the limiting behavior of functions. It is particularly useful in the context of analyzing the time or space complexity of algorithms, similar to Big O notation, but it focuses on lower bounds instead of upper bounds.

The iterated logarithm, denoted as \( \log^* n \), is a function that represents the number of times the logarithm function must be applied to a number \( n \) before the result is less than or equal to a constant (often 1). In mathematical terms, it can be defined as follows: 1. \( \log^* n = 0 \) if \( n \leq 1 \).

The Hajek projection, named after the Czech mathematician Jaroslav Hajek, is a concept from the field of statistics, particularly in the context of nonparametric estimation in statistical inference. It refers to a projection operator that is used in the context of estimating a function, usually with respect to a certain kind of norm.

Exponentially equivalent measures are a concept from probability theory and statistics, particularly in the context of exponential families and statistical inference. To understand this term, it is essential to break it down into its components. ### Exponential Families An exponential family is a class of probability distributions that can be expressed in a specific mathematical form.

If $C$ is the change of basis matrix, then the matrix representation of a bilinear form $M$ that looked like:then the matrix in the new basis is:Sylvester's law of inertia then tells us that the number of positive, negative and 0 eigenvalues of both of those matrices is the same.

Proof: the value of a given bilinear form cannot change due to a change of basis, since the bilinear form is just a function, and does not depend on the choice of basis. The only thing that change is the matrix representation of the form. Therefore, we must have:and in the new basis:and so since:

Related:

www.youtube.com/watch?v=WB8r7CU7clk&list=PLUl4u3cNGP60TvpbO5toEWC8y8w51dtvm by Iain Stewart. Basically starts by explaining how quantum field theory is so generic that it is hard to get any numerical results out of it :-)

But in particular, we want to describe those subtheories in a way that we can reach arbitrary precision of the full theory if desired.

A divergent series is an infinite series that does not converge to a finite limit. In mathematical terms, a series is expressed as the sum of its terms, such as: \[ S = a_1 + a_2 + a_3 + \ldots + a_n + \ldots \] Where \( a_n \) represents the individual terms of the series. If the partial sums of this series (i.e.

The term "distinguished limit" can refer to different concepts depending on the context, particularly in mathematics or analysis. However, it is not a widely recognized or standard term in mathematical literature. It's possible that you might be referring to one of the following ideas: 1. **Limit in Analysis**: In mathematical analysis, the limit of a function or sequence describes the value that it approaches as the input or index approaches some point.

Harvard University + MIT combo.

As of 2022:Fuck that.

Also, they have an ICP.

November 2023 course search:

This dude is generally viewed as a God. His incredibly understated demeanor and tone certainly help.

In large deviations theory, the Contraction Principle is a fundamental result that provides insights into the asymptotic behavior of probability measures associated with stochastic processes. Large deviations theory focuses on understanding the probabilities of rare events and how these probabilities behave in limit scenarios, particularly when considering independent and identically distributed (i.i.d.) random variables or other stochastic systems.

Big O notation is a mathematical concept used to describe the performance or complexity of an algorithm in terms of time or space requirements as the input size grows. It provides a high-level understanding of how the runtime or space requirements of an algorithm scale with increasing input sizes, allowing for a general comparison between different algorithms. In Big O notation, we express the upper bound of an algorithm's growth rate, ignoring constant factors and lower-order terms.