The Laplace transform is a powerful integral transform used in various fields, especially in engineering and differential equations. It transforms a function of time (usually denoted as \( f(t) \)) into a function of a complex variable \( s \). Here is a list of some common Laplace transforms: 1. **Unit Step Function**: \[ \mathcal{L}\{u(t)\} = \frac{1}{s} \] 2.

The classification of complex surfaces is a rich area in algebraic geometry. A complex surface is a two-dimensional complex manifold, which can be studied both from the perspective of complex geometry and algebraic geometry. ### Types of Complex Surfaces Complex surfaces can be classified based on their geometric and algebraic properties. Here’s a list of important types of complex surfaces along with some examples: 1. **Algebraic Surfaces**: These surfaces can be defined by polynomial equations in projective space.

A list of tessellations refers to various patterns or arrangements that fill a plane without any gaps or overlaps. In mathematics and art, tessellations are studied for their geometric properties and aesthetic appeal. Here are some common types of tessellations: 1. **Regular Tessellations**: These are formed using a single type of regular polygon.

Nonlinear ordinary differential equations (ODEs) are differential equations that are not linear in the unknown function and its derivatives. The list of nonlinear ODEs can encompass a wide variety of forms and classifications. Here are some common types and examples of nonlinear ODEs: ### 1.

The study of partial differential equations (PDEs) encompasses a wide array of topics, which can be organized into several categories. Below is a list of topics often encountered in the study of PDEs: ### 1. **Basic Concepts** - Definition of PDEs - Linear vs. Nonlinear PDEs - Order of PDEs - Classification of PDEs (elliptic, parabolic, hyperbolic) ### 2.

A list of polygons typically refers to a classification or enumeration of different types of polygons based on their number of sides and other characteristics.

Set theory is a branch of mathematical logic that deals with sets, which are collections of objects. Below is a list of topics commonly studied in set theory: 1. **Basic Definitions** - Sets, Elements, and Notation - Empty Set (Null Set) - Universal Set - Subsets - Proper Subsets 2.

Term invented by Ciro Santilli, it refers to Richard Feynman, after helping to build the atomic bomb:

In the context of invariant theory, the term "covariant" refers to certain mathematical objects or functions that transform in a specific way under changes of coordinates or transformations. Invariant theory, broadly speaking, deals with questions about which properties of geometric objects remain unchanged (invariant) under group actions or transformations, usually from a linear algebra setting.

Used to identify organic compounds.

Seems to be based on the effects that electrons around the nuclei (shielding electrons) have on the outcome of NMR.

So it is a bit unlike MRI where you are interested in the position of certain nuclei in space (of course, these being atoms, you can't see their positions in space).

Ciro Santilli is against all affirmative action, except for one: giving amazing free eduction to the poor.

Notably, Ciro is against university entry quotas.

In 2020 Brazil for example, you are not allowed in theory to obtain a double nationality which you were not allowed to have as a birth right.

This means that Brazilian students e.g. in France, many of whom could easily obtain the French citizenship had to either chose between:Can you guess which option Brazilian students would usually pick?

As a poor country, you have to allow people to obtain multiple citizenship. Students are not going to go back because they don't have the foreign citizenship. They are just going to have to ensure shittier jobs for a few years, thus diminishing the chances that they will actually lean anything useful to bring back to your country later on.

You have to bring students back after they're masters with the carrot, and not with the stick.

Yates analysis, often referred to as Yates' algorithm or Yates' method, is a statistical technique used for analyzing and understanding the effects of different factors in experiments, especially those involving factorial designs. It is typically associated with the analysis of variance (ANOVA) and response surface methodology.

For humans specifically: en.wikipedia.org/wiki/List_of_systems_of_the_human_body