# Mixed math and flowchart research

LEFT_A before $x_1^2 + x_2^2 = r^2$ RIGHT_A after.

Greek variables: $\alpha + \beta = \gamma$ END_GREEK.

A displayed fraction:

$$\frac{a+b}{c+d} = \sqrt{x^2+y^2}$$

END_FRACTION.

```mermaid
graph LR
  Start --> Check{Ready?}
  Check -->|Yes| Export
  Check -->|No| Revise
```

END_GRAPH_ONE.

```mermaid
graph TD
  A[Receive report] --> B[Review totals]
  B --> C[Publish note]
```

END_GRAPH_TWO.

## Section 01

PARA_01: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 02

PARA_02: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 03

PARA_03: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 04

PARA_04: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 05

PARA_05: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 06

PARA_06: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 07

PARA_07: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 08

PARA_08: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 09

PARA_09: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 10

PARA_10: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 11

PARA_11: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 12

PARA_12: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 13

PARA_13: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 14

PARA_14: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 15

PARA_15: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 16

PARA_16: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 17

PARA_17: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 18

PARA_18: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 19

PARA_19: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 20

PARA_20: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 21

PARA_21: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 22

PARA_22: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 23

PARA_23: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.

## Section 24

PARA_24: This English document checks ordinary text around formulas and diagrams. Each numbered paragraph should appear once and remain readable in the downloaded PDF.