![]() See the example in the image below:īoolean operators must be typed in upper case (capital) letters when typed in the search box. This way, you can connect your different concepts using AND (as each line will have words related to a single concepts) in between each line and add your alternative terms in the line by adding OR in between each synonym or terms. The general practice is to select "AND" on the dropdown menu and manually type the "OR" operator in the search boxes. The most popular Boolean commands are AND, OR. In Discovery Search, Boolean Operators are placed on the left side of the search box in a dropdown menu where you can choose the appropriate one. Boolean is a set of commands that can be used in almost every search engine, database, or online catalogue. Use of Boolean Operators/Commands in Discovery In a search where you would like to exclude sources which have a mention of a term in relation to another, you could use NOT. NOT operator narrows your search and returns fewer results. This means they both have equal value and your search could return papers that has mention of one or the other or both. In the example displayed on the right Higher Education combined with University using OR operator. You could connect similar terms, those could be: Using OR you can connect two or more similar concepts. OR operator broadens your search and returns more results. And now, you can use it each time you need it in the BrandMentions app. Boolean searching is used to help you get search results faster and with more precision. AND operator Basically AND operator work as. Majorly we are going to use 3 BO in X-ray search. For instance, if a paper mentions only Leadership but not Social Work, it will not appear in your search results. B oolean search is a manual type of search that allows you to combine keywords with operators so you can better define your search. Boolean Operators BO used as conjunctions to combine or exclude keywords in a search. In theory, this should return results that mention both Leadership plus Social Work. For example, Leadership AND Social Work (see image) combined in the same search using AND. In a search where you would like to find sources that cover multiple concepts, you should use AND. In academic search engines like Discovery, these are not simply words but logical commands, and each has its distinctive function.ĪND operator narrows your search and returns fewer results. Use of Boolean Operators/Commands in Discoveryīoolean searching is a method of combining keywords/concepts using the following three words to improve the relevancy and precision of search results in a search engine.Ĭatalogues, databases, and online search tools utilise this method.Extensive experiments show that our approach is scalable, efficient, and consistently yields better certified robustness across multiple datasets and perturbation radii than prior Lipschitz networks. Finally, based on these insights, we develop a unified Lipschitz network that generalizes prior works, and design a practical version that can be efficiently trained (making certified robust training free). These results identify that networks built upon norm-bounded affine layers and Lipschitz activations intrinsically lose expressive power even in the two-dimensional case, and shed light on how recently proposed Lipschitz networks (e.g., GroupSort and $\ell_\infty$-distance nets) bypass these impossibilities by leveraging order statistic functions. We derive two fundamental impossibility results that hold for any standard Lipschitz network: one for robust classification on finite datasets, and the other for Lipschitz function approximation. In this paper, we bridge the gap by studying certified $\ell_\infty$ robustness from a novel perspective of representing Boolean functions. So, what is Google X-Ray To put it briefly, it is the use of Boolean search strings on the Google search engine. However, the relevant progress for the important $\ell_\infty$ perturbation setting is rather limited, and a principled understanding of how to design expressive $\ell_\infty$ Lipschitz networks is still lacking. X-Ray search, also known as Boolean search, is a method we use to locate highly relevant and precise results from websites by combining phrases, keywords, and symbols into the search bar. Without quotation marks, the search engine may assume that the phrase is a list of separate. Bohang Zhang, Du Jiang, Di He, Liwei Wang Abstractĭesigning neural networks with bounded Lipschitz constant is a promising way to obtain certifiably robust classifiers against adversarial examples. ![]()
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