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pro-
▪ I. pro-, prefix1 The Latin adv. and prep. (see above), used in combination with verbs and their derivatives, and sometimes with other words not of verbal derivation. (Unlike the Gr. προ-, the L. was originally and usually prō-; but in some compounds it was occasionally and in others usually or alw... Oxford English Dictionary
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pro- | Etymology of prefix pro- by etymonline
pro-word-forming element meaning "forward, forth, toward the front" (as in proclaim, proceed); "beforehand, in advance" (prohibit, provide); "taking care of" (); "in place of, on behalf of" (proconsul, pronoun); from Latin pro (adv., prep.) "on behalf of, in place of, before, for, in exchange for, just as," which also was used as a first element in compounds and had a collateral form por-.
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pro-
pro-pref 前缀1 (with ns and adjs 与名词和形容词连用) in favour of; supporting 亲; 支持: pro-abortion pro-American. Cf 参看 anti-.2 (with ns 与名词连用) acting as 代; 代理 pro-vice-chancellor * pronoun. 牛津英汉双解词典
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Unipotent action of pro-$p$-group Say $p$ and $\ell$ are distinct prime numbers. Let $G$ be a pro-$p$-group which acts continuously on a finite-dimensional $\mathbb{Q}_\ell$-vector space $V$. Assume that the action ...
Then $f(G)$ is a pro-$p$-group (as a quotient of $G$). It follows that $f(G)\cap U$ is both pro-$p$ and pro-$\ell$, hence trivial, so $f(G)$ is discrete, hence finite.
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Is the product of pro-$\mathcal C$ groups also a pro-$\mathcal C$ group? Let $\mathcal C$ be a class of finite groups which is closed for subgroups and direct products and call a topological group $G$ a pro-$\mathcal ...
Let $G=\prod_{i\in I}G_i$; in $G$ consider all normal subgroups $N$ which are of the following form: $$(\prod_{i\ne i_1,\dots,i_n}G_i)\times N_{i_1}\times\cdots N_{i_n}$$ where $\\{i_1,\dots,i_n\\}$ runs through all finite subsets of $I$ and the $N_{i_k}$ is a closed normal subgroup of $G_{i_k}$ suc...
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Meta-procyclic groups. > **Theorem.** _A pro- $p$ group is meta-procyclic iff it is a inverse limit of metacyclic $p$-groups._ _Proof_. Let $G$ be a meta-procyclic pro-$p$ group with normal subgroup $N$ and let $M$ b...
$G/M/(NM/M)$ is a quotient of $G/N$ (by $NM/N$) which is cyclic by assumption.
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.pro
pro هو نطاق المستوى الأعلى العام (gTLD) في نظام اسم المجال على الإنترنت. wikipedia.org
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Working rate problem > Working alone at its constant rate, machine A takes 3 hours to pro- duce a batch of identical computer parts. Working alone at its constant rate, ma- chine B takes 2 hours to produce an identica...
for A for 1 hour it can produce $1/3$ batch of parts for B for 1 hour it can produce $1/2$ batch of parts for A+B for 1 hour they can produce 1/3 + 1/2 $ = $5/6$ batch of parts so to produce 1 batch they need $6/5$ hours so they need 72 minutes hope its clear
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PlistEdit Pro-阿里云开发者社区
Jun 28, 2023PlistEdit Pro 是一款为 macOS 设计的属性列表（Plist）编辑器，它可以帮助用户直观且方便地查看、编辑和管理 Plist 文件。Plist 文件是 macOS 和 iOS 操作系统中许多应用程序和系统功能使用的配置文件格式，通常包含键值对、数组和字典等数据结构。
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Apples are at the top of the list of pro-刷刷题APP
Apples are at the top of the list of produce most contaminated with pesticides in a report published today by the Environmental Working Group (EWG), a public health advocacy group
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Discoverer Stt Pro-固铂轮胎
产品特点. 1.Stone Armor™盔甲技术，轮胎不易被尖锐岩石和碎片损伤。. 2.Armor Tek3®三重盔甲科技赋予胎面和胎侧超高强度，恶劣路况下亦经久耐用。. 3.Earth Diggers™锯齿状胎肩深嵌入泥土与砂石，提供前进牵引力。. 4.Rock Climber Sidewall™攀岩胎侧技术，胎肩筋骨攀附 ...
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泰萌主Pro-天府泰剧兔2022新版上线 โดย 源升 周 - (iOS แอป) — AppAgg
ยูทิลิตี้ › 泰萌主Pro-天府泰剧兔2022新版上线. ผู้พัฒนา: 源升 周 (2) : ราคา: ฟรี: การจัดอันดับ: 0
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新世代全顺Pro-福特汽车官方网站
商务车，福特全顺安全性能高，反应灵敏，操作更舒适。 选择新世代全顺，选择卓越品质。 千锤百炼的安全设计，简单实用智慧科技，延续历久弥新的全顺品牌。 查看福特新世代全顺New Era Transit最新优惠。 新世代全顺最新优惠 新世代全顺车型亮点
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如何买到货真价实的华强北AirPods Pro-洛达1562A评测篇 - 知乎
本文主要讲述一位技术小白被奸商逼成行家的故事!. 系列文章：. 《如何买到货真价实的华强北AirPods Pro-购买渠道踩坑篇》. 《如何买到货真价实的华强北AirPods Pro-洛达1562A评测篇》. 《如何买到货真价实的华强北AirPods Pro-芯片方案鉴别篇》. 《如何买到货真价实 ...
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$p$-adic analytic group are closed subgroups of $GL_n(\mathbb{Z}_p)$ for some $n$ The article on pro-$p$-groups on Wikipedia tells us, that any $p$-adic analytic group can be found as a closed subgroup of $GL_n(\mathb...
The answer is a bit hidden in the book and in addition, Wikipedia is not very clear about it: In the interlude A (p. 97), it is written > A pro-$p$ group Also, it holds > A pro-$p$-group $G$ is of finite rank iff. $G$ is a $p$-adic analytic group.
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