Units

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                "There are a total of eight (8) different types of brackets available. The \"ceil\" and \"floor\" brackets are often used for rounding up or down the argument to the next integer: <input>lceil -3.7 rceil = -3</input> or <input>lfloor -3.7 rfloor = -4</input>."
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            "source": [
                "Operator brackets, also known as Bra-kets (angle brackets with a vertical line in between), are common in Physics notation: <input>langle a mline b rangle</input> or <input>langle a mline b mline c over d mline e rangle</input>. The height and positioning of the vertical lines always corresponds exactly to the enclosing brackets."
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                "All brackets may only be used in pairs. The brackets have some common characteristics:"
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                "সমস্ত বন্ধনী কেবলমাত্র একটি জোড়াতে ব্যবহৃত হতে পারে। বন্ধনীসমূহের কিছু সাধারণ বৈশিষ্ট্যাবলী রয়েছে:"
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                "All types of brackets have the same grouping function as described for \"{}\" brackets."
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                "\"{}\" বন্ধনীর জন্য গ্রুপ করার যে ফাংশন বর্ণনা করা হয়েছে তা সকল ধরনের বন্ধনীর জন্য প্রযোজ্য।"
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                "All types of brackets, including those that are visible, permit empty group definition. The enclosed expression may therefore be empty."
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                "সব ধরনের বন্ধনী, একনটি দৃশ্যমান বন্ধনীসহ, ফাঁকা গ্রুপের বর্ণনার অনুমতি দেওয়া হয়। ফলে আবদ্ধ এক্সপ্রেশনটি ফাঁকা হতে পারে।"
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                "Brackets do not adjust their size to the enclosed expression. For example, if you want <input>( a over b )</input> with a bracket size adjusted to a and b you must insert \"left\" and \"right\". Entering <input>left(a over b right)</input> produces appropriate sizing. If, however, the brackets themselves are part of the expression whose size is changed, they are included the size change: <input>size 3(a over b)</input> and <input>size 12(a over b)</input>. The sizing of the bracket-to-expression ratio does not change in any way."
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                "Since \"left\" and \"right\" ensure unique assignment of the brackets, every single bracket can be used as an argument for these two commands, even placing right brackets on the left side, or left brackets on the right. Instead of a bracket you can use the \"none\" qualifier, which means that there is no bracket shown and that there is no space reserved for a bracket. Using this, you can create the following expressions:"
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                "যেহেতু \" বাম \" এবং \" ডান \" বন্ধনীর অনন্য নির্দেশিত কাজ নিশ্চিতকরণ করে, প্রতি একক বন্ধনী এই দুই কমান্ডর জন্য একটি প্রেরিত মান হিসেবে ব্যবহার করা যাবে, ডান বন্ধনী বাম পাশে রেখে, অথবা বাম বন্ধনী ডান পাশে রেখে। একটি বন্ধনীর পরিবর্তে আপনি  \"একটিও না\" নির্নায়ক ব্যবহার করতে পারেন, এর মানে কোনও বন্ধনী দেখায় না এবং একটি ন্ধনীর জন্য কোনো ফাঁকা স্থান বরাদ্দ নেই। এটি ব্যবহার করে, আপনি নিম্নোক্ত অভিব্যক্তি তৈরি করতে পারেন:"
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            "source": [
                "The same rules apply to \"left\" and \"right\" as to the other brackets: they also work as group builders and may enclose empty expressions."
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                "অন্যান্য বন্ধনীর মত একই নিয়ম \"বাম\" এবং \"ডান\" এ প্রয়োগ করা হয়: এরা গ্রুপ তৈরিকারক হিসেবে কাজ করতে পারে এবং ফাঁকা এক্সপ্রেশন সংযুক্ত করতে পারে।"
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            "source": [
                "The combination of mismatched brackets, single brackets and repositioned left and right brackets occurs often in mathematical formulas. The following is a formula that will create an error when typed:"
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                "গাণিতিক সূত্রতে মানানসই নয় এমন বন্ধনী, একক বন্ধনী এবং পুনঃস্থাপিত বাম এবং ডান বন্ধনীর সম্মিলন প্রায়শই ঘটে থাকে। নিম্নলিখিতটি হলো একটি সূত্র, যা টাইপ করার সময় একটি ত্রুটি সংঘটিত হয়:"
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            "source": [
                "[2, 3) - right open interval"
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                "[2, 3) - ডানে মুক্ত বিরতি"
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            "source": [
                "Using \"left\" and \"right\" makes the above expression valid in $[officename] Math: <input>left [2, 3 right )</input>. However, the brackets do not have any fixed size because they adjust to the argument. Setting a single bracket is a bit cumbersome. Therefore, there you can display single brackets with a fixed size by placing a \"\\\" (backslash) in front of normal brackets. These brackets then act like any other symbol and no longer have the special functionality of brackets; that is they do not work as group builders and their orientation corresponds to that of other symbols. See <input>size *2 \\langle x \\rangle</input> and <input>size *2 langle x rangle</input>."
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            "source": [
                "The complete overview is as follows"
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                "সম্পূর্ণ সারসংক্ষেপ নিচে উল্লেখ করা হলো"
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                "\\{ or \\lbrace, \\} or \\rbrace"
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                "\\\\{ or \\\\lbrace, \\\\} or \\\\rbrace"
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            "priority": 100,
            "id": 110629579,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=7a9f079fbfa1b3a1",
            "url": "https://translations.documentfoundation.org/api/units/110629579/?format=api",
            "explanation": "",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "In this way, intervals like the one above can be built in <emph>$[officename] Math</emph> without any problems: \\[2\", \"3\\) or \"\\]2\", \"3\\[ (Attention: These quotation marks are part of the entry.)"
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            "target": [
                "এই পদ্ধতিতে, কোনো সমস্যা ছাড়া <emph>$[officename] Math</emph> তে উপরে একটির মত করে বিরতি নেয়া যাবে: \\\\[2\", \"3\\\\) অথবা \"\\\\]2\", \"3\\\\[ (উল্লেখ্য: এই উদ্ধৃতি চিহ্ন এন্ট্রির একটি অংশ।)"
            ],
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            "priority": 100,
            "id": 110629581,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=7651adfaa5f49ae4",
            "url": "https://translations.documentfoundation.org/api/units/110629581/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Please note that the quotation marks must be entered and can be obtained with <emph>Shift+2</emph> and not with typographical quotation marks. Generally, punctuation marks (like the comma in this case) are set as text. Although it is also possible to type \"\\[2,~3\\)\" the above option is preferable. In the previous example, \"fixed size\" always describes a bracket size dependent on the font size used."
            ],
            "previous_source": "",
            "target": [
                "অনুগ্রহ করে নোট যে উদ্ধৃতি চিহ্নের অবশ্যই সন্নিবেশ করাতে হবে এবং <emph>Shift+2</emph> দ্বারা নির্ধারণ করা হয় এবং টাইপোগ্রাফি সংক্রান্ত উদ্ধৃতি চিহ্ন দ্বারা নয়। সাধারণভাবে, বিরাম চিহ্ন (এক্ষেত্রে কমার মতো) পাঠ্য হিসেবে নির্ধারণ করা হয়। যদিও \"\\\\[2,~3\\\\)\" টাইপ করা প্রয়োজন উপরোক্ত পছন্দ গ্রহণযোগ্য। পূর্ববর্তী উদহারণে, \"নির্দিষ্ট আকৃতি\" সর্বদা ব্যবহৃত ফন্ট আকৃতির উপর ভিত্তি করে একটি বন্ধনী আকৃতি বর্ণনা করে।"
            ],
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            "priority": 100,
            "id": 110629584,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=1e5491b12c064dd4",
            "url": "https://translations.documentfoundation.org/api/units/110629584/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Nesting groups within each other is relatively problem-free. In the formula <input>hat \"{a + b}\"</input>  the \"hat\" is displayed simply over the center of \"{a + b}\". Also, <input>color red lceil a rceil</input> and <input>grave hat langle x * y rangle</input>  work as expected. The result of the latter can be compared to <input>grave {hat langle x * y rangle}</input>. These attributes do not compete, but rather can be combined."
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            "target": [
                ""
            ],
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            "note": "gsyJL",
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            "source_unit": "https://translations.documentfoundation.org/api/units/110579724/?format=api",
            "priority": 100,
            "id": 110629587,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=869a077bc801991f",
            "url": "https://translations.documentfoundation.org/api/units/110629587/?format=api",
            "explanation": "",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "This differs slightly for competing or mutually influencing attributes. This is often the case with font attributes. For example, which color does the b have in <input>color yellow color red (a + color green b)</input>, or which size does it have in <input>size *4 (a + size /2 b)</input>? Given a base size of 12, does it have the size 48, 6 or even 24 (which could be seen as a combination)? The following are basic resolution rules, which will be followed consistently in the future. In general, the rules apply to all group operations. This only has a visible effect on the font attributes, like \"bold\", \"ital\", \"phantom\", \"size\", \"color\" and \"font\":"
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                ""
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            "note": "voLFs",
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            "num_words": 113,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579725/?format=api",
            "priority": 100,
            "id": 110629589,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=6ca94b9a21d424d9",
            "url": "https://translations.documentfoundation.org/api/units/110629589/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Group operations in sequence are treated as if every single operation is enclosed by braces. They are nested, and in every level there can be no more than one operation. Here is an example of a formula with many group operations:"
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            "target": [
                ""
            ],
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            "priority": 100,
            "id": 110629591,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=af07adab883620f8",
            "url": "https://translations.documentfoundation.org/api/units/110629591/?format=api",
            "explanation": "",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "This example formula is then interpreted from left to right. The operations only affect its corresponding group (or expression). Operations further to the right \"replace\" or \"combine themselves with\" their predecessors."
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            "target": [
                "এই উদাহরণ সূত্রটি বাম থেকে ডানে ব্যাখ্যা করা হয়। এই অপারেশনটি শুধুমাত্র এর সংশ্লিষ্ট গ্রুপে প্রভাব ফেলে থাকে (অথবা এক্সপ্রেশন)। আরো অপারেশন \"প্রতিস্থাপন\" অথবা \"এদেরকে সমন্বয় করুন\" এদের পূর্বসূরী।"
            ],
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            "note": "77wxj",
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            "state": 20,
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            "num_words": 31,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579727/?format=api",
            "priority": 100,
            "id": 110629593,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=e5f05cdab9e49f2d",
            "url": "https://translations.documentfoundation.org/api/units/110629593/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "A group operation does not have any effect on higher-level operations but rather affects only lower-level groups and expressions, including their brackets and super-/subscripts. For example,"
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            "previous_source": "",
            "target": [
                ""
            ],
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            "note": "kjnJA",
            "flags": "",
            "labels": [],
            "state": 0,
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            "num_words": 26,
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            "priority": 100,
            "id": 110629597,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=908104a1e09e3998",
            "url": "https://translations.documentfoundation.org/api/units/110629597/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "\"color ...\" and \"font ...\" as well as \"size n\" (n is a decimal) replace any preceding operations of the same type"
            ],
            "previous_source": "",
            "target": [
                "\"color ...\" এবং \"font ...\" সাথে সাথে \"size n\" (n হলো দশমিক সংখ্যা) একই ধরনের যেকোনো পূর্ববর্তী অপারেশন প্রতিস্থাপন করে থাকে"
            ],
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            "note": "CFDtJ",
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            "num_words": 22,
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            "priority": 100,
            "id": 110629598,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=42ebf11cb4788120",
            "url": "https://translations.documentfoundation.org/api/units/110629598/?format=api",
            "explanation": "",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "for \"size +n\", \"size -n\", \"size *n\", and \"size /n\" the effects of the operations are combined,"
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            "target": [
                "\"size +n\", \"size -n\", \"size *n\", এবং \"size /n\" এর জন্য অপারেশনের প্রভাবসমূহ সংযুক্ত করা হয়,"
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            "id": 110629604,
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        {
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            "source": [
                "<input>size *2 size -5 a</input> would be double the starting size minus 5"
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                ""
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            "priority": 100,
            "id": 110629607,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=0531409f6c321470",
            "url": "https://translations.documentfoundation.org/api/units/110629607/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "To change the size of a formula, use \"size +\" or -,*,/. Do not use \"size n\". These can easily be used in any context. This enables you to copy to other areas by using Copy and Paste, and the result remains the same. Furthermore, such expressions survive a change of base size in the menu better than when using \"size n\". If you use only <input>size *</input> and <input>size /</input> (for example, <input>size *1.24 a</input> or <input>size /0.86 a</input>) the proportions remain intact."
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                ""
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            "priority": 100,
            "id": 110629608,
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            "source": [
                "Examples (with a base size of 12 and 50% for indexes):"
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            "target": [
                "উদাহরণ (১২ আকৃতির ভিত্তি এবং ইনডেক্সের জন্য ৫০% সহ):"
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            "priority": 100,
            "id": 110629610,
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            "url": "https://translations.documentfoundation.org/api/units/110629610/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Exactly identical proportions with <input>size 18 a_n</input> and <input>size *1.5 a_n</input>."
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            "note": "72Qgo",
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            "priority": 100,
            "id": 110629614,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=b89997a7f3ee3bcf",
            "url": "https://translations.documentfoundation.org/api/units/110629614/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "This differs in different contexts: <input>x^{size 18 a_n}</input> and <input>x^{size *1.5 a_n}</input>"
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            "previous_source": "",
            "target": [
                ""
            ],
            "id_hash": -5830602912898355589,
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            "source_unit": "https://translations.documentfoundation.org/api/units/110579858/?format=api",
            "priority": 100,
            "id": 110629618,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=2f15898ae655ee7b",
            "url": "https://translations.documentfoundation.org/api/units/110629618/?format=api",
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            "timestamp": "2024-02-01T18:19:27.755992Z"
        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Examples with <input>size +n</input> for a comparison. They look identical:"
            ],
            "previous_source": "",
            "target": [
                ""
            ],
            "id_hash": -7221163584981346024,
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            "location": "03091100.xhp",
            "context": "03091100.xhp\npar_id3157986\nhelp.text",
            "note": "BQkCj",
            "flags": "",
            "labels": [],
            "state": 0,
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            "translated": false,
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            "num_words": 10,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579881/?format=api",
            "priority": 100,
            "id": 110629620,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=1bc945fa94335918",
            "url": "https://translations.documentfoundation.org/api/units/110629620/?format=api",
            "explanation": "",
            "extra_flags": "",
            "pending": false,
            "timestamp": "2024-02-01T18:19:27.758107Z"
        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "The following examples, however, do not look identical:"
            ],
            "previous_source": "",
            "target": [
                "নিচের উদাহরণটি, যদিও, সদৃশ নয়:"
            ],
            "id_hash": 5273670130068232514,
            "content_hash": 5273670130068232514,
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            "context": "03091100.xhp\npar_id3147129\nhelp.text",
            "note": "BfYqF",
            "flags": "",
            "labels": [],
            "state": 20,
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            "translated": true,
            "approved": false,
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            "has_failing_check": false,
            "num_words": 8,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579903/?format=api",
            "priority": 100,
            "id": 110629626,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=c92fd70acd4e1942",
            "url": "https://translations.documentfoundation.org/api/units/110629626/?format=api",
            "explanation": "",
            "extra_flags": "",
            "pending": false,
            "timestamp": "2024-02-01T18:19:27.760722Z"
        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "All n here have different sizes. The size 1.333 results from 8/6, the desired size divided by the default index size 6. (Index size 50% with a base size of 12)"
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            "previous_source": "",
            "target": [
                ""
            ],
            "id_hash": -2616964837349081705,
            "content_hash": -2616964837349081705,
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            "context": "03091100.xhp\npar_id3153354\nhelp.text",
            "note": "EpJXr",
            "flags": "",
            "labels": [],
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            "translated": false,
            "approved": false,
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            "has_failing_check": false,
            "num_words": 31,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579925/?format=api",
            "priority": 100,
            "id": 110629632,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=5baeac58801ebd97",
            "url": "https://translations.documentfoundation.org/api/units/110629632/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Indexes and Exponents"
            ],
            "previous_source": "",
            "target": [
                "ইনডেক্স এবং সূচকসমূহ"
            ],
            "id_hash": -9060071224066708733,
            "content_hash": -9060071224066708733,
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            "context": "03091200.xhp\ntit\nhelp.text",
            "note": "XPEMa",
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            "has_failing_check": false,
            "num_words": 3,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579952/?format=api",
            "priority": 100,
            "id": 110629636,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=0244293959c3eb03",
            "url": "https://translations.documentfoundation.org/api/units/110629636/?format=api",
            "explanation": "",
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            "timestamp": "2024-02-01T18:19:27.768171Z"
        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "<bookmark_value>indexes and exponents in $[officename] Math</bookmark_value><bookmark_value>exponents and indexes in $[officename] Math</bookmark_value>"
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            "previous_source": "",
            "target": [
                "<bookmark_value>indexes and exponents in $[officename] Math</bookmark_value><bookmark_value>exponents and indexes in $[officename] Math</bookmark_value>"
            ],
            "id_hash": -3032192407158130955,
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            "translated": true,
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            "has_failing_check": true,
            "num_words": 11,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579963/?format=api",
            "priority": 100,
            "id": 110629638,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=55eb7d1228b3f6f5",
            "url": "https://translations.documentfoundation.org/api/units/110629638/?format=api",
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            "pending": false,
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "<link href=\"text/smath/01/03091200.xhp\">Indexes and Exponents</link>"
            ],
            "previous_source": "",
            "target": [
                "<link href=\"text/smath/01/03091200.xhp\">ইনডেক্স এবং সূচক</link>"
            ],
            "id_hash": 1863262816467782728,
            "content_hash": 1863262816467782728,
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            "context": "03091200.xhp\nhd_id3150746\nhelp.text",
            "note": "TMm9X",
            "flags": "",
            "labels": [],
            "state": 20,
            "fuzzy": false,
            "translated": true,
            "approved": false,
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            "has_suggestion": false,
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            "has_failing_check": false,
            "num_words": 4,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579981/?format=api",
            "priority": 100,
            "id": 110629643,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=99dba3a8dac18c48",
            "url": "https://translations.documentfoundation.org/api/units/110629643/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Here, you will find basic information about indexes and exponents in <emph>$[officename] Math</emph>. You can try the examples described here to help you understand the details discussed. (The quotation marks in this text are for emphasis purposes only and are not part of the examples.)"
            ],
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            "target": [
                "এখানে, আপনি <emph>$[officename] Math সূচী এবং সূচক সম্পর্কে মৌলিক তথ্য খুঁজে পাবেন </emph>। বিস্তারিত আলোচনা বুঝতে আপনি এখানে বর্নিত উদহারণের সাহায্য নিতে পারেন। (এই লেখাতে উদ্ধৃতি চিহ্নটি গুরুত্ব প্রদান উদ্দেশ্যের জন্য কেবল আছে এবং এই উদহারণের অংশ নয়।)"
            ],
            "id_hash": -50756028822610819,
            "content_hash": -50756028822610819,
            "location": "03091200.xhp",
            "context": "03091200.xhp\npar_id3153730\nhelp.text",
            "note": "zMeDt",
            "flags": "",
            "labels": [],
            "state": 20,
            "fuzzy": false,
            "translated": true,
            "approved": false,
            "position": 734,
            "has_suggestion": false,
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            "has_failing_check": false,
            "num_words": 45,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579986/?format=api",
            "priority": 100,
            "id": 110629647,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=7f4bada923d19c7d",
            "url": "https://translations.documentfoundation.org/api/units/110629647/?format=api",
            "explanation": "",
            "extra_flags": "",
            "pending": false,
            "timestamp": "2024-02-01T18:19:27.781718Z"
        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "The index and exponent for a character are displayed one on top of the other, left-justified to the base character. For example, type <emph>a_2^3</emph> or <emph>a^3_2</emph>. This can be in any order. Instead of <emph>'_'</emph> and <emph>'^'</emph>, you can use <emph>'sub'</emph> and <emph>'sup'</emph>."
            ],
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            "target": [
                "একটি অক্ষরের ইনডেক্স এবং সূচক একটির উপর অন্যটি প্রদর্শিত হয় এবং মূল অক্ষরের বাম-উভয়প্রান্তিকযোগ্য। যেমন, <emph>a_2^3</emph> অথবা <emph>a^3_2</emph> টাইপ করুন। এটি যেকোনো ক্রমে থাকতে পারে। <emph>'_'</emph> এবং <emph>'^'</emph> ব্যতীত, আপনি <emph>'sub'</emph> এবং <emph>'sup'</emph> ব্যবহার করতে পারেন।"
            ],
            "id_hash": -3432574516686146285,
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            "note": "XYiSH",
            "flags": "",
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            "state": 20,
            "fuzzy": false,
            "translated": true,
            "approved": false,
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            "has_failing_check": false,
            "num_words": 43,
            "source_unit": "https://translations.documentfoundation.org/api/units/110579991/?format=api",
            "priority": 100,
            "id": 110629651,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=505d0ba9e3dd3513",
            "url": "https://translations.documentfoundation.org/api/units/110629651/?format=api",
            "explanation": "",
            "extra_flags": "",
            "pending": false,
            "timestamp": "2024-02-01T18:19:27.784418Z"
        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "However, it is no longer possible to use the following patterns"
            ],
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            "target": [
                "যাই হোক, নিচের প্যাটার্ন ব্যবহার করা আর সম্ভব নয়"
            ],
            "id_hash": -3314067850351939849,
            "content_hash": -3314067850351939849,
            "location": "03091200.xhp",
            "context": "03091200.xhp\npar_id3148387\nhelp.text",
            "note": "3jGfk",
            "flags": "",
            "labels": [],
            "state": 20,
            "fuzzy": false,
            "translated": true,
            "approved": false,
            "position": 736,
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            "has_failing_check": false,
            "num_words": 11,
            "source_unit": "https://translations.documentfoundation.org/api/units/110580008/?format=api",
            "priority": 100,
            "id": 110629653,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=520210d94a3aeef7",
            "url": "https://translations.documentfoundation.org/api/units/110629653/?format=api",
            "explanation": "",
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            "pending": false,
            "timestamp": "2024-02-01T18:19:27.787014Z"
        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Each sub-/superscript position of a base character can only be used once. You must use brackets to indicate the desired result. The following examples illustrate this"
            ],
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            "target": [
                "একটি মূল অক্ষরের প্রতি নিম্ন-/ঊর্ধ্বলিপি শুধুমাত্র একবার ব্যবহৃত হতে পারে। আপনার প্রত্যাশিত ফলাফল নির্দেশ করতে বন্ধনীটি অবশ্যই ব্যবহার করতে হবে। নিচের উদাহরণটি এর একটি দৃষ্টান্ত।"
            ],
            "id_hash": -3928631483437668884,
            "content_hash": -3928631483437668884,
            "location": "03091200.xhp",
            "context": "03091200.xhp\npar_id3153724\nhelp.text",
            "note": "7WDKN",
            "flags": "",
            "labels": [],
            "state": 20,
            "fuzzy": false,
            "translated": true,
            "approved": false,
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            "has_suggestion": false,
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            "has_failing_check": false,
            "num_words": 26,
            "source_unit": "https://translations.documentfoundation.org/api/units/110580026/?format=api",
            "priority": 100,
            "id": 110629654,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=497ab27b084825ec",
            "url": "https://translations.documentfoundation.org/api/units/110629654/?format=api",
            "explanation": "",
            "extra_flags": "",
            "pending": false,
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Unlike other formula editors where \"<emph>_</emph>\" and \" <emph>^</emph> \" only refer to the next character (\"a_24\" refers only to the \"2\"), $[officename] Math refers to the entire number(s)/name(s)/text. If you want to put superscripts and subscripts in sequence, the expression can be written as follows: a_2{}^3 or a^3{}_2"
            ],
            "previous_source": "",
            "target": [
                "অন্যান্য সূত্র সম্পাদকের মত নয়, যেখানে \"<emph>_</emph>\" এবং \" <emph>^</emph> \" শুধুমাত্র পরবর্তী অক্ষর নির্দেশনার জন্য ব্যবহৃত হয় (\"a_24\" শুধুমাত্র \"2\" নির্দেশ করে থাকে), $[officename] Math সম্পূর্ণ সংখ্যা/নাম/পাঠ্য নির্দেশ করে থাকে। আপনি যদি ঊর্ধ্বলিপি এবং নিম্নলিপি একই ক্রমে রাখতে চান, তাহলে এক্সপ্রেশন নিম্নোক্ত উপায়ে লেখা যেতে পারে: a_2{}^3 অথবা a^3{}_2"
            ],
            "id_hash": -4551857292885601542,
            "content_hash": -4551857292885601542,
            "location": "03091200.xhp",
            "context": "03091200.xhp\npar_id3151173\nhelp.text",
            "note": "kQPLQ",
            "flags": "",
            "labels": [],
            "state": 20,
            "fuzzy": false,
            "translated": true,
            "approved": false,
            "position": 738,
            "has_suggestion": false,
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            "has_failing_check": false,
            "num_words": 49,
            "source_unit": "https://translations.documentfoundation.org/api/units/110580044/?format=api",
            "priority": 100,
            "id": 110629659,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=40d48de8ad4852fa",
            "url": "https://translations.documentfoundation.org/api/units/110629659/?format=api",
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            "pending": false,
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "To write tensors, <emph>$[officename] Math</emph> provides several options. In addition to the notation \"R_i{}^{jk}{}_l\", common in other applications, additional notations can be used, namely \"R_i{}^jk{}_l\" and \"{{R_i}^jk}_l\"."
            ],
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            "target": [
                "টেনসোর্স লিখতে, <emph>$[officename] Math</emph> এ কিছু অপশন রয়েছে। নোটেশনের সংযুক্তি হিসেবে \"R_i{}^{jk}{}_l\", অন্যান্য অ্যাপ্লিকেশনেও একই, অতিরিক্ত নোটেশন ব্যবহৃত হতে পারে, \"R_i{}^jk{}_l\" এবং \"{{R_i}^jk}_l\" নামকরণকৃত।"
            ],
            "id_hash": -1961677277001201176,
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            "priority": 100,
            "id": 110629665,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=64c6b8e8f46349e8",
            "url": "https://translations.documentfoundation.org/api/units/110629665/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Super- and subscripts to the left of the base character can also be right-justified. To do this, the new commands \"lsub\" and \"lsup\" are used. Both commands have the same effect as \"sub\" and \"sup\", except that they are left of the base character. See also \"a lsub 2 lsup 3\"."
            ],
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            "target": [
                "মূল অক্ষরের উর্ধ্ব- এবং নিম্নলিপি ডান-উভয়প্রান্তিক ও করা যায়। এটি করতে, \"lsub\" এবং \"lsup\" নতুন কমান্ড দুটি ব্যবহৃত হয়। উভয় কমান্ডের \"lsub\" এবং \"lsup\" এর মতো একই প্রভাব রয়েছে, মূল অক্ষরের বামের অবস্থান ব্যতীত । \"a lsub 2 lsup 3\" ও দেখুন।"
            ],
            "id_hash": -1275864185714919937,
            "content_hash": -1275864185714919937,
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            "context": "03091200.xhp\npar_id3147516\nhelp.text",
            "note": "MqAdr",
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            "has_failing_check": false,
            "num_words": 51,
            "source_unit": "https://translations.documentfoundation.org/api/units/110580084/?format=api",
            "priority": 100,
            "id": 110629668,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=6e4b38486cd1b5ff",
            "url": "https://translations.documentfoundation.org/api/units/110629668/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "The rules governing unambiguity and the necessity of using brackets remain the same. In principle, this can be achieved with <emph>{}_2^3 a</emph>."
            ],
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            "target": [
                "স্পষ্টভাবে গভর্নিং এর নিয়ম এবং বন্ধনী ব্যবহারের প্রয়োজনীয়তা একই রকম থাকে। মূলনীতিতে, এটি <emph>{}_2^3 a</emph> এর মাধ্যমে অর্জন করা যায়।"
            ],
            "id_hash": -1607509523168923375,
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            "note": "gmLai",
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            "source_unit": "https://translations.documentfoundation.org/api/units/110580109/?format=api",
            "priority": 100,
            "id": 110629671,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=69b0fa9b0a757111",
            "url": "https://translations.documentfoundation.org/api/units/110629671/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "The commands \"sub\" and \"sup\" are also available as \"rsub\" and \"rsup\"."
            ],
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            "target": [
                "\"sub\" এবং \"sup\" কমান্ডসমূহ \"rsub\" এবং \"rsup\" তেও পাওয়া যাবে।"
            ],
            "id_hash": -7012383055173000566,
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            "context": "03091200.xhp\npar_id3152961\nhelp.text",
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            "source_unit": "https://translations.documentfoundation.org/api/units/110580125/?format=api",
            "priority": 100,
            "id": 110629677,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=1eaf02c3b771e28a",
            "url": "https://translations.documentfoundation.org/api/units/110629677/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Using the \"csub\" and \"csup\" commands, you can write super- and subscripts directly above or below a character. An example is \"a csub y csup x\". Combinations of indexes and exponents together are also possible: \"abc_1^2 lsub 3 lsup 4 csub 55555 csup 66666\"."
            ],
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            "target": [
                "\"csub\" এবং \"csup\" ব্যবহার করে, আপনি একটি অক্সরের উপরে অথবা নিচে সরাসরি ঊর্ধ্বলিপি এবং নিম্নলিপি লিখতে পারেন। একটি উদাহরণ হলো \"a csub y csup x\"। একত্রে ইনডেক্স এবং সূচকের সমাহারও সম্ভব : \"abc_1^2 lsub 3 lsup 4 csub 55555 csup 66666.\""
            ],
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            "source_unit": "https://translations.documentfoundation.org/api/units/110580136/?format=api",
            "priority": 100,
            "id": 110629679,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=a62bc37bded52b9f",
            "url": "https://translations.documentfoundation.org/api/units/110629679/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Super- and subscripts can be attached to most unary and binary operators. Two examples: \"a div_2 b a<csub n b +_2 h\" and \"a toward csub f b x toward csup f y\"."
            ],
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            "target": [
                "অধিকাংশ ইউনারি অথবা বাইনারি অপারেটরে ঊর্ধ্বলিপি এবং নিম্নলিপি সংযুক্ত করতে পারেন। দুইটি উদহরণ হলো: \"a div_2 b a<csub n b +_2 h\" এবং \"a toward csub f b x toward csup f y.\""
            ],
            "id_hash": -4588550171749744854,
            "content_hash": -4588550171749744854,
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            "context": "03091200.xhp\npar_id3154570\nhelp.text",
            "note": "KsCCv",
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            "num_words": 33,
            "source_unit": "https://translations.documentfoundation.org/api/units/110580141/?format=api",
            "priority": 100,
            "id": 110629683,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=405231ee12cc7f2a",
            "url": "https://translations.documentfoundation.org/api/units/110629683/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Be sure to also enter all spaces between characters when entering these examples into the <emph>Commands</emph> window."
            ],
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            "target": [
                "<emph>কমান্ড</emph>উইন্ডোতে এই উদাহরণ সন্নিবেশ করানোর সময় অক্ষরের মধ্যবর্তী স্থান সন্নিবেশ করানো নিশ্চিত করুন।"
            ],
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            "num_words": 17,
            "source_unit": "https://translations.documentfoundation.org/api/units/110580163/?format=api",
            "priority": 100,
            "id": 110629686,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=da2dc9432409b240",
            "url": "https://translations.documentfoundation.org/api/units/110629686/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Attributes"
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            "target": [
                "বৈশিষ্ট্যাবলী"
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            "num_words": 1,
            "source_unit": "https://translations.documentfoundation.org/api/units/110580186/?format=api",
            "priority": 100,
            "id": 110629689,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=79d74a8faa82e980",
            "url": "https://translations.documentfoundation.org/api/units/110629689/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "<bookmark_value>attributes; additional information</bookmark_value>"
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            "target": [
                "<bookmark_value>attributes; additional information</bookmark_value>"
            ],
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            "priority": 100,
            "id": 110629694,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=49f462cd5cc46c1b",
            "url": "https://translations.documentfoundation.org/api/units/110629694/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "<link href=\"text/smath/01/03091300.xhp\">Attributes</link>"
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            "target": [
                "<link href=\"text/smath/01/03091300.xhp\">বৈশিষ্ট্যাবলী</link>"
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            "priority": 100,
            "id": 110629697,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=ed4433b0f5dccc3d",
            "url": "https://translations.documentfoundation.org/api/units/110629697/?format=api",
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        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "Additional information about attributes in <emph>$[officename] Math</emph> is found here."
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            "target": [
                "<emph>$[officename] Math</emph> এর বৈশিষ্ট্যাবলী সম্পর্কিত অতিরিক্ত তথ্যাবলী এখানে পাওয়া যায়।"
            ],
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            "source_unit": "https://translations.documentfoundation.org/api/units/110580220/?format=api",
            "priority": 100,
            "id": 110629700,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=135f1edb12c8fca2",
            "url": "https://translations.documentfoundation.org/api/units/110629700/?format=api",
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        },
        {
            "translation": "https://translations.documentfoundation.org/api/translations/libo_help-24-2/textsmath01/bn_IN/?format=api",
            "source": [
                "The <emph>acute</emph>, <emph>bar</emph>, <emph>breve</emph>, <emph>check</emph>, <emph>circle</emph>, <emph>dot</emph>, <emph>ddot</emph>, <emph>dddot</emph>, <emph>grave</emph>, <emph>hat</emph>, <emph>tilde</emph> and <emph>vec</emph> attributes always have a fixed size and do not become wider (longer) if they are above a long symbol. By default, the attributes are centered."
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                "<emph>একিউট</emph>, <emph>বার</emph>, <emph> ব্রিভ</emph>, <emph> টিক চিহ্নিত করা</emph>, <emph> বৃত্ত</emph>, <emph> ডট</emph>, <emph>ddot</emph>, <emph>dddot</emph>, <emph>গ্রেভ</emph>, <emph>হেট</emph>, <emph>টিল্ড</emph> এবং <emph>vec</emph> বৈশিষ্ট্যাবলীর সবসময় একটি নির্দিষ্ট আকার রয়েছে এবং যদি একটি দীর্ঘ প্রতীকের উপর অবস্থিত থাকলেও প্রশস্ত (দীর্ঘ) হয় না। ডিফল্ট হিসেবে, বৈশিষ্ট্যাবলী কেন্দ্রে অবস্থিত থাকে।"
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            "priority": 100,
            "id": 110629703,
            "web_url": "https://translations.documentfoundation.org/translate/libo_help-24-2/textsmath01/bn_IN/?checksum=a2cc9230c585ab1b",
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