LibreOffice Help – 7.6/text/smath/01 — Nepali @ TDF Weblate - LibreOffice: \{ or \lbrace, \} or \rbrace

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Context 03091100.xhp par_id3149715 help.text

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Context	English	Nepali
03091100.xhp par_id3146962 help.text	When typing example formulas into the <emph>Commands</emph> window, note that spaces are often required for correct structure.	उदाहरण सूत्रहरू टाइप गरेको बेला <emph>आदेश</emph> सञ्झ्यालहरूमा, टिप्पणी गर्नुहोस् कि खाली स्थानहरू सहि बनावटका लागि आवश्यक छ ।
03091100.xhp par_id3149054 help.text	Braces "{}" are used to group expressions together to form one new expression. For example, <input>sqrt {x * y}</input> is the square root of the entire product xy, while <input>sqrt x y</input> is the square root of x multiplied by y. Braces do not require an extra space.
03091100.xhp par_id3151392 help.text	Set brackets were previously inserted in the Elements pane or directly in the Commands window as "left lbrace <?> right rbrace". Now, a left and a right set bracket can also be inserted using "lbrace" and "rbrace", with or without wildcards.
03091100.xhp par_id3147403 help.text	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>.
03091100.xhp par_id3146320 help.text	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.
03091100.xhp par_id3157870 help.text	All brackets may only be used in pairs. The brackets have some common characteristics:	कोष्ठकहरू पेयरहरूमा मात्र प्रयोग हुन्छ. कोष्ठकहरू सँग केही साधारण क्यारेक्टरिस्टिकहरू छन्:
03091100.xhp par_id3155761 help.text	All types of brackets have the same grouping function as described for "{}" brackets.	"{}" कोष्ठकहरूको लागि व्याख्या गरिए झैं सबै प्रकारका कोष्ठकहरूमा उस्तै समूहकरण प्रकार्यहरू छन्।
03091100.xhp par_id3145590 help.text	All types of brackets, including those that are visible, permit empty group definition. The enclosed expression may therefore be empty.	सबै प्रकारको कोष्ठकहरू, जुन दृश्यात्मक छन् तिनीहरू समावेश गरिन्छ, खाली समूह परिभाषा लागू गर्नुहोस्. संलग्न अभिब्यक्त्ति खाली हुन सक्दछ ।
03091100.xhp par_id3154562 help.text	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.
03091100.xhp par_id3153002 help.text	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:	"left" र "right" ले कोष्ठकहरूको अनौठो मानाङ्कन निश्चित गर्दछ, प्रत्येक एक्लो कोष्ठक यी दुई आदेशहरूका लागि तर्कको रूपमा प्रयोग गर्न सकिन्छ, साथै दायाँ कोष्ठकहरू बायाँ साइडमा अँस्थित गर्दा, वा बायाँ कोष्ठकहरू दायाँमा. कोष्ठकको सट्टा तपाईँ "none" क्वालिफायर प्रयोग गर्न सक्नुहुन्छ, जसको मतलब त्यहाँ कुनै कोष्ठक छैन जुन तपाईँ प्रयोग गर्न सक्नुहुन्छ र त्यहाँ कुनै खाली स्थान कोष्ठकका लागि रिजर्भ गरिएको छैन. यो प्रयोग गर्दा, तपाईँ तलका अभिब्यक्त्तिहरू निर्माण गर्न सक्नुहुन्छ:
03091100.xhp par_id3150935 help.text	The same rules apply to "left" and "right" as to the other brackets: they also work as group builders and may enclose empty expressions.	उही नियमहरू "left" र "right" अन्य कोष्ठकहरू रूपमा लागू गरिन्छ: तिनीहरू समूह निर्माणकर्ताको रूपमा प्रयोग गरिन्छ र खाली अभिब्यक्त्तिहरू संलग्न गर्न सक्छ ।
03091100.xhp par_id3149030 help.text	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:	अमिल्दो कोष्ठकहरूको समिश्रण, एक्लो कोष्ठकहरू र पुन: अवस्थित बायाँ र दायाँ कोष्ठकहरू गणित सूत्रहरूमा देखिन्छन् । तलको सूत्र हो जुनले टाइप गरेको बेला त्रुटि निर्माण गर्दछ:
03091100.xhp par_id3155989 help.text	[2, 3) - right open interval	[२, ३) - दायाँ खुला अवधि
03091100.xhp par_id3147169 help.text	Using "left" and "right" makes the above expression valid in $[officename] Math: <input>left [2, 3 right )</input>. However, the brackets do not have any fixed size because they adjust to the argument. Setting a single bracket is a bit cumbersome. Therefore, there you can display single brackets with a fixed size by placing a "\" (backslash) in front of normal brackets. These brackets then act like any other symbol and no longer have the special functionality of brackets; that is they do not work as group builders and their orientation corresponds to that of other symbols. See <input>size 2 \langle x \rangle</input> and <input>size 2 langle x rangle</input>.
03091100.xhp par_id3153720 help.text	The complete overview is as follows	पुर्ण अधिदृश्य तल छ
03091100.xhp par_id3149715 help.text	\{ or \lbrace, \} or \rbrace	\{ or \lbrace, \} or \rbrace
03091100.xhp par_id3147514 help.text	In this way, intervals like the one above can be built in <emph>$[officename] Math</emph> without any problems: \[2", "3\) or "\]2", "3\[ (Attention: These quotation marks are part of the entry.)	यो तरीकामा, अवधिहरूलाई एक तह माथि चाहन्छ जुन निर्माण गर्न सकिन्छ <emph>$[officename] म्याथ</emph> कुनै समस्याहरू बिना नै: \[2", "3\) वा "\]2", "3\[ (ध्यानाकर्षण: यी उद्वरण चिन्हहरू द्रष्टव्यको अंश हो.)
03091100.xhp par_id3153532 help.text	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.	कृपया याद गर्नुहोस् कि उद्वरण चिन्हहरू प्रविष्ट गर्नुपर्दछ र संलग्न हुनुपर्दछ <emph>Shift+२</emph> सँग र टिपोग्राफिकल उद्वरण चिन्हहरू सँग होइन. साधारणरूपमा, उच्चारण चिन्हहरू (जस्तै अल्पविराम यो केसमा) पाठको रूपमा सेट गरिन्छ. साथै यो पनि सम्भव छ टाइप गर्नका लागि "\[2,~3\)" माथिको विकल्प रुचाउने किसिमको छ. अघिल्लो उदाहरणमा, "निश्चित गरिएको साइज" जहिले पनि कोष्ठक साइज बर्णन गर्दछ प्रयोग गरिएको फन्ट साइजमा आधारित ।
03091100.xhp par_id3153674 help.text	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.
03091100.xhp par_id3147526 help.text	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":
03091100.xhp par_id3152952 help.text	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:
03091100.xhp par_id3158441 help.text	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.	उदाहरण सूत्र बायाँबाट दायाँ इन्टरप्रिटेड हुन्छ. कार्यहरूले यसको अनुकूल समूह (वा अभिब्यक्त्ति) लाई प्रभाव पार्दछ. कार्यहरू दायाँमा "replace" वा "combine themselves with" तिनीहरूको प्रिडिसिसरहरू ।
03091100.xhp par_id3150994 help.text	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,
03091100.xhp par_id3154196 help.text	"color ..." and "font ..." as well as "size n" (n is a decimal) replace any preceding operations of the same type	"रङ ..." r "फन्ट ..." साथसाथै "साइज n" (n दशमलव हो) उही प्रकारको पूर्वकार्यहरू बदल्नुहोस्
03091100.xhp par_id3154136 help.text	for "size +n", "size -n", "size *n", and "size /n" the effects of the operations are combined,	"size +n", "size -n", "size *n", र "size /n" का लागि कार्यहरूको प्रभावहरू समिश्रण हुन्छ,
03091100.xhp par_id3146934 help.text	<input>size *2 size -5 a</input> would be double the starting size minus 5
03091100.xhp par_id3154906 help.text	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.
03091100.xhp par_id3147587 help.text	Examples (with a base size of 12 and 50% for indexes):	उदाहरणहरू (12 को आधार साइज सँग र ५०% अनुक्रमणिकाहरूका लागि):
03091100.xhp par_id3148734 help.text	Exactly identical proportions with <input>size 18 a_n</input> and <input>size *1.5 a_n</input>.
03091100.xhp par_id3152766 help.text	This differs in different contexts: <input>x^{size 18 a_n}</input> and <input>x^{size *1.5 a_n}</input>
03091100.xhp par_id3157986 help.text	Examples with <input>size +n</input> for a comparison. They look identical:

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03091100.xhp
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ne/helpcontent2/source/text/smath/01.po, string 713