Mathematical notation

21 Aug, 2022

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Inline:

$$E=mc^2$$

$E = m c^{2}$

Block:

$$
4 \, \text{H} \rightarrow \text{He} + 2 \, \text{e}^+ + 2 \, \nu_e + \gamma
$$

$4, H \to He + 2, e^{+} + 2, ν_{e} + γ$

Full example:

# Introduction to $$E=mc²$$

*Note that $  and $$ should just render normally.*

Einstein's mass-energy equivalence is one of the most famous equations in physics. It states:

$$
E=mc^2
$$

where:

- $$E$$ is the energy of an object.
- $$m$$ is the mass of the object.
- $$c$$ is the speed of light in a vacuum (approximately $$3 \times 10^8$$ m/s).

In simple terms, this equation tells us that mass and energy are interchangeable. A small amount of mass can be converted into a large amount of energy, and vice versa.

## Energy conversion in the Sun

For example, in the Sun, nuclear fusion reactions convert hydrogen into helium. In these reactions, a small amount of the mass of the hydrogen is converted into energy, according to the equation $$E=mc^2$$.

$$
4 \, \text{H} \rightarrow \text{He} + 2 \, \text{e}^+ + 2 \, \nu_e + \gamma
$$

This is why the Sun has been able to produce enormous amounts of energy for billions of years.

Introduction to $E = m c^{2}$

Note that $ and $$ should just render normally.

Einstein's mass-energy equivalence is one of the most famous equations in physics. It states:

$E = m c^{2}$

where:

$E$ is the energy of an object.
$m$ is the mass of the object.
$c$ is the speed of light in a vacuum (approximately $3 \times 10^{8}$ m/s).

In simple terms, this equation tells us that mass and energy are interchangeable. A small amount of mass can be converted into a large amount of energy, and vice versa.

Energy conversion in the Sun

For example, in the Sun, nuclear fusion reactions convert hydrogen into helium. In these reactions, a small amount of the mass of the hydrogen is converted into energy, according to the equation $E = m c^{2}$ .