[
    {
        "role": "user",
        "content": "how%20do%20you%20type%20a%20plus%20sign%20in%20UEB%20braille"
    },
    {
        "role": "assistant",
        "content": "In Unified English Braille (UEB), the plus sign (\u201c+\u201d) is written using two cells. Here's how to type it:\n\n1. First cell: the \u201cdot-5 prefix\u201d (\u2810)  \n2. Second cell: dots 2-3-5 (\u2816)\n\nSo, the plus sign is **\u2810\u2816**. ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson1.3?utm_source=openai))\n\nHere are a few additional notes to help you use it correctly:\n\n- Between numbers: no space is used. For example, \u201c3 + 5\u201d becomes \u283c\u2809\u2810\u2816\u283c\u2811 ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson1.3?utm_source=openai))  \n- In general text (not between numbers), spacing around the + usually follows the print. ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson1.3?utm_source=openai))  \n\nIf you want, I can also show you how to type other operation symbols like minus, multiplication, division, etc., in UEB."
    },
    {
        "role": "user",
        "content": "yes%20please"
    },
    {
        "role": "assistant",
        "content": "Here are some of the common mathematical operation and comparison symbols in Unified English Braille (UEB), plus how to write them and how they are used with numbers and spacing. Information comes from official UEB guides and training materials. ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai))\n\n---\n\n### Operation Symbols\n\n| Print Symbol | UEB Braille (two cells) | Dots used in second cell (root) | Example (with numbers) |\n|--------------|---------------------------|-----------------------------------|--------------------------|\n| **Plus (+)** | dot-5 prefix \u200b+\u200b dots 2-3-5 | 2-3-5 | 5+6 \u2192 \u283c\u2811\u2810\u2816\u283c\u280b ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n| **Minus (-)** | dot-5 prefix \u200b+\u200b dots 3-6 | 3-6 | 10-2 \u2192 \u283c\u2801\u281a\u2810\u2824\u283c\u2803 ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n| **Multiplication (\u201c\u00d7\u201d)** | dot-5 prefix \u200b+\u200b dots 2-3-6 | 2-3-6 | 100 \u00d7 52 \u2192 \u283c\u2801\u281a\u281a\u2810\u2826\u283c\u2811\u2803 ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n| **Multiplication dot (\u201c\u00b7\u201d as in algebraic multiplication)** | dot-5 prefix \u200b+\u200b dots 2-5-6 | 2-5-6 | 7\u22198 \u2192 \u283c\u281b\u2810\u2832\u283c\u2813 ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n| **Divided by (\u00f7)** | dot-5 prefix \u200b+\u200b dots 3-4 | 3-4 | 25\u00f75 \u2192 \u283c\u2803\u2811\u2810\u280c\u283c\u2811 ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n\n---\n\n### Comparison Symbols\n\n| Print Symbol | UEB Braille | Notes on spacing and use |\n|--------------|-------------|---------------------------|\n| **Equals (=)** | dot-5 prefix + dots 2-3-5-6 (\u2810\u2836) | It is a \u201ccomparison sign,\u201d so you put a space before and after it when used between expressions. ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n| **Less than (<)** | dot-4 prefix + dots 1-2-3 (\u2808\u2823) | Also spaced on both sides when used between expressions. ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n| **Greater than (>)** | dot-4 prefix + dots 1-2-4 (\u2808\u281c) | Same spacing rule as other comparison signs. ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai)) |\n\n---\n\n### General Rules & Tips\n\n- **Prefixes and Root Cells**: Operation signs use the \u201cdot-5 prefix\u201d in the first cell; the second cell is the \u201croot\u201d describing which operation. ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson1.3?utm_source=openai))  \n- **No spaces with operation signs and numbers**: When writing numerical expressions (like \u201c3+5\u201d), you do *not* put spaces between the number and operation sign or between the operation sign and the next number. ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson1.3?utm_source=openai))  \n- **Comparison signs are spaced**: Signs like \u201c=\u201d, \u201c<\u201d, and \u201c>\u201d should have spaces around them when used between numbers or expressions. ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit4?utm_source=openai))  \n- **Numeric indicator**: Before writing numbers in UEB, use the numeric indicator (often a cell combination before the first number). After the operation sign, you restart the numeric indicator for the next number. ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson1.3?utm_source=openai))  \n\n---\n\nIf you like, I can also pull up a complete list of UEB math symbols (exponents, roots, arrows, brackets, etc.) with their braille forms."
    },
    {
        "role": "user",
        "content": "what%20about%20round%20and%20square%20brackets"
    },
    {
        "role": "assistant",
        "content": "Here\u2019s how you write *round brackets* (parentheses) and *square brackets* in Unified English Braille (UEB), how they work, and some related rules.\n\n---\n\n## Symbols for Brackets & Parentheses\n\nIn UEB, grouping symbols\u2014like parentheses, square brackets, curly braces, and angle brackets\u2014are made of two cells:\n\n- The **first cell** is a **prefix** that tells you what type of grouping symbol it is:\n  - \u2810 (dot-5) \u2192 parentheses (round brackets)  \n  - \u2828 (dots-4-5-6) \u2192 square brackets  \n  - \u2838 (4-5-6) \u2192 curly braces  \n  - \u2808 (dot-4) \u2192 angle brackets ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit10b?utm_source=openai))\n\n- The **second cell** indicates whether it\u2019s an **opening** or **closing** symbol:\n  - Opening: \u2823 (dots-1-2-6)  \n  - Closing: \u281c (dots-3-4-5) ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson3.3?utm_source=openai))\n\n---\n\n## Combining Them: What the Braille Looks Like\n\nHere are the specific Braille for round parentheses and square brackets:\n\n| Print Bracket | Braille (two cells) | First cell (prefix) | Second cell (root) |\n|---------------|----------------------|-----------------------|----------------------|\n| Opening parenthesis \u201c(\u201d | \u2810\u2823 | \u2810 (dot-5) | \u2823 (dots-1-2-6) ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson3.3?utm_source=openai)) |\n| Closing parenthesis \u201c)\u201d | \u2810\u281c | \u2810 (dot-5) | \u281c (dots-3-4-5) ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson3.3?utm_source=openai)) |\n| Opening square bracket \u201c[\u201d | \u2828\u2823 | \u2828 (dots-4-5-6) | \u2823 (dots-1-2-6) ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit10b?utm_source=openai)) |\n| Closing square bracket \u201c]\u201d | \u2828\u281c | \u2828 (dots-4-5-6) | \u281c (dots-3-4-5) ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit10b?utm_source=openai)) |\n\n---\n\n## How to Use Them in UEB\n\n- **No space** is inserted between a bracket/parenthesis and the text it encloses. For example, in \u201c(2 + 4)\u201d you don\u2019t put spaces around the \u201c(\u201d or \u201c)\u201d. ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson3.3?utm_source=openai))  \n- **Parentheses \u201cterminate numeric mode\u201d**: That means if a number follows immediately after an opening or closing parenthesis, you have to start it with the numeric indicator (usually the cell \u283c in UEB math mode) to show it's a number, not part of words or other symbols. ([uebmath.aphtech.org](https://uebmath.aphtech.org/lesson3.3?utm_source=openai))  \n- **Square brackets** work the same way, except they're used in print when square brackets are shown. Same rules apply for spacing, etc. ([braillebrain.aphtech.org](https://braillebrain.aphtech.org/uebliterary/unit10b?utm_source=openai))\n\n---\n\nIf you like, I can also show the codes for curly braces (\u201c{ }\u201d) and angle brackets (\u201c< >\u201d), and when each is used in math versus regular text."
    }
]