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MathematicsReal AnalysisIntroduction to Real Numbers

Chapter 1

Welcome to Chapter 1!

Tables

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Math

The Pythagorean equation is a=b2+c2a=\sqrt{b^2 + c^2} and the quadratic formula:

x=b±b24ac2aRμν12gμνR+gμνΛ=8πGc4Tμνρt+(ρu)=0(ρu)t+[ρuu]=p+τ+ρf(ρe)t+((ρe+p)u)=(τu)+ρfu+(q˙)+rx=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ R_{\mu \nu} - \frac{1}{2} g_{\mu \nu} R + g_{\mu \nu} \Lambda = \frac{8 \pi G}{c^4} T_{\mu \nu} \\ \frac{\partial \rho}{\partial t} + \overrightarrow{\nabla}\cdot(\rho\overrightarrow{u})=0 \\ \frac{\partial(\rho \overrightarrow{u})}{\partial t} + \overrightarrow{\nabla}\cdot[\rho\overline{\overline{u\otimes u}}] = -\overrightarrow{\nabla p} + \overrightarrow{\nabla}\cdot\overline{\overline{\tau}} + \rho\overrightarrow{f} \\ \frac{\partial(\rho e)}{\partial t} + \overrightarrow{\nabla}\cdot((\rho e + p)\overrightarrow{u}) = \overrightarrow{\nabla}\cdot(\overline{\overline{\tau}}\cdot\overrightarrow{u}) + \rho\overrightarrow{f}\overrightarrow{u} + \overrightarrow{\nabla}\cdot(\overrightarrow{\dot{q}})+r

Code Blocks

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let a = 1;
 
console.log(a);

Hover Card Test

Boxes

Definition 1.1 - First Definition

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Theorem 1.2

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Lemma 1.3

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Corollary 1.4

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Proposition 1.5

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Claim 1.6

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Exercise 1.7

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Problem 1.8

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Example 1.9

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Question 1.10

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Solution 1.11

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Proof 1.12

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Remark 1.13

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Note 1.14

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