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词汇 example_english_sheaves
释义

Examples of sheaves


These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
He will bring in his sheaves while the sun is still shining.
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Whole sheaves of legislation go onto the stature book without receiving any proper parliamentary scrutiny at all.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
There have been sheaves of comments about its report and about the crisis that is facing the arts.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
All the annotating and so on, and the sheaves of letters sent to one man about a single point—all this might be cut away.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
At the end of the day they will come back from the fields of battle bringing the sheaves of glorious victory with them.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
At harvest festivals, they used merely to bring in the sheaves, as though the service was an agricultural affair.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
There have been cascades of words and sheaves of statistics.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
I have sheaves of correspondence from firms who are anxious to develop.
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Our three committees, which have been peregrinating, are now returning to us bearing with them, no doubt, their bulky and indigestible sheaves of reports.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
I could give sheaves of cuttings.
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I have got sheaves of them here.
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Now comes the most important season of all, when the husbandry must be garnered and the sheaves will have to be threshed and milled to provide food for the nation.
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Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
I receive sheaves of letters about it.
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In the dual point of view, an injective map corresponds to a surjection of sheaves, and a surjective map corresponds to an injection of sheaves.
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Rope tension equalization may be achieved using a rope tension gauge, and is a simple way to extend the lifetime of the sheaves and ropes.
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The ornate gate overthrows include shields and emblems capped with crowns, sheaves and sickles.
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The pullback of bundles then corresponds to the inverse image of sheaves, which is a contravariant functor.
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Finite locally constant sheaves are constructible, and constructible sheaves are torsion.
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A sheaf on a site, however, should allow gluing, just like sheaves in classical topology.
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He set fire to stacks of rice sheaves as landmarks to guide villagers to safety.
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Three sheaves rise up in the landscape behind him.
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Sheaves were traditionally fabricated of cast iron, but steel and nylon sheaves are now common.
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The definition of sheaves by tal spaces is older than the definition given earlier in the article.
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At this point sheaves had become a mainstream part of mathematics, with use by no means restricted to algebraic topology.
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Due to their general nature and versatility, sheaves have several applications in topology and especially in algebraic and differential geometry.
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If the presheaves or sheaves considered are provided with additional algebraic structure, these maps are assumed to be homomorphisms.
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They exist in several varieties such as sheaves of sets or sheaves of rings, depending on the type of data assigned to open sets.
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The definition of coherent sheaves is made with reference to a sheaf of rings that codifies this geometrical information.
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The category of abelian sheaves has enough injective objects: this means that any sheaf is a subsheaf of an injective sheaf.
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The other classes of sheaves are historically older notions.
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Each of these guideline tensioners consists of a hydraulic cylinder with sheaves at both sides.
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A line (rope) is "reeved" through the sheaves, and maybe through one or more matching blocks at some far end, to make up a tackle.
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The ferrite in these sheaves has a carbon concentration below 0.03%, resulting in carbon-rich austenite around the laths.
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Multiplier ideals were independently introduced by (who worked with sheaves over complex manifolds rather than ideals) and, who called them adjoint ideals.
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Furthermore, operating the unladen rope during extreme weather is effective at preventingor greatly reducingice and snow accumulation on the sheaves and rope.
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If in addition the fibers of have dimension at most "n" then vanishes on torsion sheaves for.
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Implicit in that is the statement that a morphism of sheaves is nothing more than a natural transformation of the sheaves, considered as functors.
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Both graded manifolds and supermanifolds are phrased in terms of sheaves of graded commutative algebras.
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In 1985 the lift span sheaves, the grooved wheels that guide the counterweight cables, were replaced.
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When hung between two supports and equipped with a belt, rope or cable, one or more sheaves make up a pulley.
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In most rice-producing countries, they are used for threshing and for transporting the sheaves during the rice harvest.
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The production of snuff was heavy work: enormous sheaves of tobacco were hauled around manually, and horses turned the grinding mills.
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Plywood has the potential to feather off in sheaves when extreme weight is placed on the hinges.
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The outer border of the red circle shows sheaves of wheat and the inner sheaves of rice, which together represent agricultural workers.
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If the canonical class of a variety is positive or negative, then the derived category of coherent sheaves determines the variety.
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The central elements are surrounded by sheaves of wheat that allude to the custom to welcome to guests with salt and bread.
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To be a scheme-theoretic open immersion it must also induce an isomorphism on structure sheaves, which this map does not do.
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The lifting hook is operated by the crane operator using electric motors to manipulate wire rope cables through a system of sheaves.
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The sheaves of blocks on sailing vessels were made of lignum vitae until the introduction of modern synthetics.
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Grain could be pulled or, more typically, cut and the sickle was the usual tool, leaving sheaves of grain to be gathered.
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Several sheaves (singular "sheaf") are then leant against each other with the ears off the ground to dry out, forming a "stook".
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In this language, a morphism of sheaves is a natural transformation of the corresponding functors.
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Second, sheaves provide the framework for a very general cohomology theory, which encompasses also the usual topological cohomology theories such as singular cohomology.
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The common theme was gigantism: fishing for leviathans, hunting for or riding oversized animals, and bringing in the impossibly huge sheaves.
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The classical examples include vector bundles, principal bundles and sheaves over topological spaces.
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Coherent sheaves can be seen as a generalization of vector bundles, or of locally free sheaves of finite rank.
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In fact, injective sheaves are flabby ("flasque"), soft, and acyclic.
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The name derives from the use of the term "garb" to describe sheaves of grain depicted on a heraldic shield or coat of arms.
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A back splice adds extra thickness to the rope end, preventing it from running through blocks and sheaves.
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The sheaves themselves are wedge-shaped with the thicker end associated with the nucleation site.
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Essentially they are a smooth version of abelian gerbes belonging more to the hierarchy starting with principal bundles than sheaves.
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The blessed sheaves are then distributed by the priest during the mass.
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The summertime picture: harvesting, women and children bind sheaves and take them off the field.
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In the foreground are sheaves of harvested wheat leaning against one another.
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Eight 28in mm diameter sheaves, eight 24in mm diameter sheaves, and one 20in mm diameter sheave comprised just half the mechanical effort.
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While in the houses, they sat down on sheaves of tzapote leaves and put on necklaces which were made of ears of corn and flowers.
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They occur in radiating sheaves and spherulites, and as fibrous crusts or earthy and powdery material.
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Standard constructions of scheme theory, such as sheaves and tale cohomology, can be extended to algebraic stacks.
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Located on the emblem is a water lily, that is bordered on two sides by rice sheaves.
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Similarly, a simplicial sheaf on a site is a simplicial object in the category of sheaves on the site.
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Gode can be turned into a functor because a map between two sheaves induces maps between their stalks.
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The reaped grain stalks are gathered into "sheaves" (bunches), tied with string or with a twist of straw.
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Since sheaves have a local character and since any scheme is locally affine, the theorem admits a global statement of the same nature.
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Every torsion sheaf is a filtered inductive limit of constructible sheaves.
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A morphism of presheaves or of sheaves is a natural transformation of functors.
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Similarly, one can define presheaves and sheaves of abelian groups, rings, modules, and so on.
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Bearings, swivels, sheaves and the gooseneck can be unattended for up to four years and create only a friction of about 2%.
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Invertible modules form the foundation for the definition of invertible sheaves in algebraic geometry.
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Generally, reapers developed into the 1872 invented reaper-binder, which reaped the crop and bound it into sheaves.
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Sheaves are by design quite general and abstract objects, and their correct definition is rather technical.
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Notice that we did not use the gluing axiom in defining a morphism of sheaves.
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Flasque sheaves are useful because (by definition) sections of them extend.
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At the time, there was a cohomology theory for sheaves, and a cohomology theory for groups.
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One or a number of "sheaves" are enclosed in an assembly between "cheeks" or "chocks".
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The category of sheaves of abelian groups over a scheme has enough injective objects, so one can define right derived functors of left exact functors.
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If is a complex variety then is the same as the usual higher direct image with compact support (for the complex topology) for torsion sheaves.
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He set fires to rice sheaves ("inamura") to help guide those in great danger to safety on the hilltop.
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In addition to cutting the small-grain crop, it would also tie the stems into small bundles, or sheaves.
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The first is that the hypercohomology of this complex of sheaves always agrees with the cohomology of the complex of global sections.
One such semantics is provided by moving from the presheaf-theoretic setting of the elementary semantics, to the topological setting of sheaves.
The exponential ideal property familiar from locale theory is a special case of the corresponding property for sheaves.
Can we get a similar description for special loci and their attached sheaves?
In an un generalized space, the topology can be described by stipulating the opens (the open subsets), but an equivalent approach is by stipulating the sheaves.
Now separated objects are subobjects of sheaves.
Being able to obtain for free large numbers of switches would only have been useful, of course, to those who would expect to be binding a large number of sheaves.
Here we do the same thing, if in somewhat greater generality, by using sheaves of sets to achieve models of conditions not satisfied by constant sets.
Sheaves were stooked on the plot then carted and stored until threshing in winter, when bushel weight was determined by weighing a bushel measure filled with grain.
Sheaves in the analytic topology will usually be denoted by script letters, whereas the group of global sections will be denoted by the corresponding roman letters.
The supreme importance of communications, in every sense, put a premium upon the man who was prepared to handle great sheaves of paper, the man at the desk, the bureaucrat.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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