pullback 

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单词释义
n.撤兵,撤回部队,价格下跌,需求减少
词根词缀记忆/谐音联想记忆 补充/纠错
单词例句
The pullback of a function f: X → Y along a function g: Z → Y is defined as the function (g o f)^-1: Z → X, which maps elements from Z to their preimages under f.
函数f: X → Y的拉回是通过函数g: Z → Y定义的,它被定义为函数(g o f)^-1: Z → X,它将Z中的元素映射为其在f下的原像。
In algebraic geometry, the pullback of a sheaf F on a scheme Y along a morphism f: X → Y is the inverse image sheaf f^*F, which assigns to each open subset U of X the set of sections of F over f^{-1}(U).
在代数几何中,函数f: X → Y沿方案Y上的束F的拉回是逆像束f^*F,它将X的每个开子集U分配给F在f^{-1}(U)上的截面集。
The pullback of a differential form ω on a manifold Y along a smooth map f: X → Y is defined as the differential form f^*ω on X, which at each point x in X is given by (f^*ω)_x = ω_{f(x)}.
函数f: X → Y沿流形Y上的微分形式ω的拉回定义为X上的微分形式f^*ω,在X的每个点x处给出的是(f^*ω)_x = ω_{f(x)}。
In category theory, the pullback of two morphisms f: X → Z and g: Y → Z with common codomain is the limit of the diagram formed by X, Y, and Z with arrows f and g, and is denoted as X ×_Z Y.
在范畴论中,两个同尾的形态f: X → Z和g: Y → Z的拉回是由X、Y和Z形成的图式的极限,箭头为f和g,记为X ×_Z Y。
The pullback of a vector bundle E → Y along a continuous map f: X → Y is the vector bundle f^*E → X, which is the fiber product of X and Y over E.
连续映射f: X → Y沿向量丛E → Y的拉回是向量丛f^*E → X,它是X和Y在E上的纤维积。
In functional analysis, the pullback of a bounded linear operator T: V → W along an invertible linear operator S: U → V is defined as the composition S^-1 o T o S: U → W.
在泛函分析中,有界线性算子T: V → W沿可逆线性算子S: U → V的拉回定义为复合算子S^-1 o T o S: U → W。
The pullback of a Lie group action G × M → M along a smooth map f: N → M is defined as the Lie group action G × N → N given by (g,n) ↦ f(g.n), where g.n denotes the action of g on n.
微分流形N → M的光滑映射f沿李群作用G × M → M的拉回定义为李群作用G × N → N,由(g,n) ↦ f(g.n)给出,其中g.n表示g对n的作用。
In algebraic topology, the pullback of a continuous map f: X → Z along another continuous map g: Y → Z is the space X ×_Z Y, which is the set of all pairs (x,y) ∈ X × Y such that f(x) = g(y).
在代数拓扑中,连续映射f: X → Z沿另一连续映射g: Y → Z的拉回是空间X ×_Z Y,它是所有满足f(x) = g(y)的对(x,y) ∈ X × Y的集合。
The pullback of a vector field V on a manifold Y along a smooth map f: X → Y is the vector field f^*V on X, which is defined by (f^*V)_x = V_{f(x)} for all x ∈ X.
微流形Y上的微分方程V沿光滑映射f: X → Y的拉回是在X上定义的微分方程f^*V,由(f^*V)_x = V_{f(x)}对所有x ∈ X给出。
In algebraic number theory, the pullback of a Galois extension K/L along a field homomorphism φ: M → L is the Galois extension M ×_L K, which is the compositum of M and K over L.
在代数数论中,伽罗华扩张K/L沿域同态φ: M → L的拉回是伽罗华扩张M ×_L K,它是M和K在L上的合成。
A pullback in advertising spending cramped YouTube's revenue in the third quarter, with Google's video platform notching $7.07 billion in ad sales, a decline of 1.9 percent from a year earlier, representing its first year-on-year drop in at least two years.
广告支出的回落限制了YouTube第三季度的收入,谷歌视频平台的广告销售额为70.7亿美元,同比下降1.9%,这是至少两年来的首次同比下降。
He said he anticipates future pullback by Tencent from Pinduoduo and 58. com, a local life services platform, to be "highly likely", and that rival companies might need to join in the fray.
他表示,他预计腾讯未来将撤出拼多多和58。com是一个本地生活服务平台,“极有可能”,竞争对手可能需要加入这场争论。
Should the White House approve the deal, he said, the settlement could be seen as a pullback from the US president's executive order issued in August requiring either a total sale or a total ban.
Therefore, it is not appropriate to overexplain the pullback of some indicators that many are concerned about, nor should the fluctuations merely be interpreted in the current economic situation as a trend toward another bottom.
The pullback in demand and production reflects weakening overall economic fundamentals.
The slower CPI increase in February was mainly affected by a pullback in consumer demand after the Spring Festival holiday in January and ample market supplies, said Dong Lijuan, an NBS statistician.
Looking forward, he said his team expects China's CPI inflation to edge down marginally to 2 percent in February, reflecting some pullback after the January Spring Festival holiday effects.
The country's hog prices went up since late June and have seen a pullback recently.
"The nation will also likely retain a considerable trade surplus in 2022, although geopolitical conflicts, expected pullback of economic stimulus in developed economies, and the continuous pandemic will add uncertainties to global demand, he said.
The nation will also likely retain a considerable trade surplus in 2022, although geopolitical conflicts, the expected pullback from economic stimulus in developed economies, and the continuing COVID-19 pandemic will add uncertainties to global demand, he said.
A pullback of all the additional tariffs on China made by the United States will have substantial effects on curbing US inflation, and early action will benefit enterprises and consumers quickly, according to Shu Jueting, spokeswoman of the Ministry of Commerce on Thursday.
"Multiple Chinese and US think tanks and research institutes have estimated that full pullback of the tariffs will have substantial effect on curbing US domestic inflation levels," she said, adding that amid the high inflation levels, the earlier the US removes the tariffs, the sooner consumers and enterprises will be benefited.
Liu said full pullback of additional tariffs on China by the US would benefit the two nations and provide urgently needed impetus for global economic growth.
But Gao, of the CASS, said a possible global recession due to a pullback of stimulus policies in developed economies will likely put pressure on China's foreign trade sector.
Nation called on to expand opening-up, further propel innovation, new tech useA safe haven for foreign investors seeking predictable market opportunities at a difficult time amid the COVID-19 pandemic, China will remain a top destination for foreign investment despite various challenges such as rising competition from other emerging markets and a probable pullback of economic stimulus in developed countries, said experts and business leaders.
Zhou Xuezhi, a researcher with the Institute of World Economics and Politics at the Chinese Academy of Social Sciences, said weaker demand in developed economies due to the expected pullback of fiscal and monetary stimulus, will also likely have an impact on China's exports.
Zhou Xuezhi, a researcher with the Institute of World Economics and Politics, which is part of the Chinese Academy of Social Sciences, said he believes expected pullback of fiscal and monetary stimulus in developed economies will weaken their demand, which will likely have an impact on China's exports.
"China has ample supplies of key commodities essential for livelihood … And considering the recent pullback in prices of energy like coal and some raw materials, China has the confidence and capabilities to allow the overall price level to maintain stable performance," said Guo Liyan, a researcher at the Academy of Macroeconomic Research of the NDRC.
Despite the progress achieved, authorities have cautioned that an excessive production capacity may occur, as other countries will gradually reopen their factories at home, leading to a pullback in China's exports.
Despite decreases from a month earlier, sub-indexes of the logistics sector remained in the expansion zone, indicating a cyclical pullback in logistics business activity with the overall growth continuing to be steady, the CFLP noted.
China's economy ground virtually to a halt in the first quarter of 2020, with the country's gross domestic product contracting by 6.8 percent from a year earlier—the biggest such pullback in some four decades.
While profits in 39 of the 41 industrial sectors surveyed fell in Q1 from the same period last year, 28 sectors saw their profit growth improve or pullback soften in March, according to the NBS.
"The pullback from China's investors was not entirely unexpected but encouragingly created opportunities for new strategic investors to amplify offshore investment activities," said Leo Chung, associate director of research for Asia-Pacific CBRE.
With continued pullback of the monthly growth rate, the change in average house prices of most Chinese cities was less than 1 percent last month, the statement added.
"If there's a short-term pullback in the market, you know we're well positioned on a global basis to deal with that.
"At some point, it's going to put vehicles just out of reach for some buyers and it's going to cause some kind of pullback in the market. "
“We should not only effectively mitigate risks of the housing sector but also grasp the opportunities during the period of an asset price pullback, mobilize the funds of all parties to liquidize remnants assets, and introduce a batch of cost-effective rental homes to the market to meet the housing demand for different groups of people, especially new urban residents,” he said.
The pullback in IPOs from Chinese companies on US exchanges has also affected IPO activity in the US, Potter said.
The latest RMB exchange rate pullback is a normal market reaction to a rise of the Chinese currency against the US dollar for a fairly long period since last year, the official said.
Investors saw a slight pullback in liquor and defense shares, while coal, steel and brokerage stocks rose across the board.
"A sustained pullback in consumption, coupled with extended closures of businesses, would hurt earnings, drive layoffs and weigh on sentiment.
Peter Costa, president of Empire Executions Inc, said while the slide looks terrifying, the market has been waiting for some kind of correction for some time, and Monday's pullback was "perfectly fine.
Gao Ting, head of China strategy at UBS Securities, said in a research note that the recent market pullback will likely be short-lived, noting that earnings growth estimates for 2018, and the current market valuations, suggest further upside for both onshore and offshore Chinese equities.
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