Curves | Algebraic curves | Singularity theory
An acnode is an isolated point in the solution set of a polynomial equation in two real variables. Equivalent terms are "isolated point or hermit point". For example the equation has an acnode at the origin, because it is equivalent to and is non-negative only when ≥ 1 or . Thus, over the real numbers the equation has no solutions for except for (0, 0). In contrast, over the complex numbers the origin is not isolated since square roots of negative real numbers exist. In fact, the complex solution set of a polynomial equation in two complex variables can never have an isolated point. An acnode is a critical point, or singularity, of the defining polynomial function, in the sense that both partial derivatives and vanish. Further the Hessian matrix of second derivatives will be positive definite or negative definite, since the function must have a local minimum or a local maximum at the singularity. (Wikipedia).
In the world of chemistry, an "organic" compound is often described as anything with carbon in it, and "organic chemistry" is the study of carbon compounds, but there is actually no single definition of what "organic" means in chemistry, and scientists have been arguing about it for a long
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What Are Allotropes of Metalloids and Metals | Properties of Matter | Chemistry | FuseSchool
What Are Allotropes of Metalloids and Metals Learn the basics about allotropes of metalloids and metals, as a part of the overall properties of matter topic. An allotrope is basically a different form of the same element, each with distinct physical and chemical properties. For example
From playlist CHEMISTRY
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From playlist ORGANIC CHEMISTRY CH1 INTRODUCTION
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A quick definition of the actinides. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.
From playlist Chemistry glossary
Acids and Bases - Short Revision || CBSE Science || || Infinity Learn Class 9&10
Acids and bases are two types of substances that are fundamental to chemistry. An acid is a substance that donates protons (hydrogen ions, H+) to a solution, while a base is a substance that accepts protons or donates hydroxide ions (OH-) to a solution. There are several ways to define and
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E/Z Alkenes, Electrophilic Addition, & Carbocations: Crash Course Organic Chemistry #14
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From playlist Organic Chemistry
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A quick definition of alchemy. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.
From playlist Chemistry glossary
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Making ABNO: A New Stable Radical
Support my channel with Patreon: https://www.patreon.com/chemiolis In this video I am making one of the newer stable nitroxyl radicals that is gaining more and more attention. It can be produced with green chemistry techniques and is generally more effective than TEMPO, which makes it an
From playlist Groundbreaking and Upcoming Chemistry