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Page "Cohomology" ¶ 8
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enables and us
All this near tragedy, which to us borders on comedy, enables us to tell the story over and over again, always warming ourselves with a glow of complacency.
It enables us to see at once why democracy and Bolshevism, which in the eyes of the world are irrevocably opposed to one another, meet again and again on common ground in their joint hatred of and attacks on authoritarian nationalist concepts of State and State systems.
The ability to manipulate quantum information enables us to perform tasks that would be unachievable in a classical context, such as unconditionally secure transmission of information.
Statistical inference enables us to make statements about which element ( s ) of this set are likely to be the true one.
In addition to highlighting such formal aspects of the predicate " is true ", some deflationists point out that the concept enables us to express things that might otherwise require infinitely long sentences.
It is that power which enables us to love and motivates us to seek a relationship with God through Jesus Christ.
Sanctifying grace enables us to respond to God by leading a Spirit-filled and Christ-like life aimed toward love.
By contemplating on the twelve links, one gains greater insight into the workings of karma ; this insight enables us to begin to unravel our habitual way of thinking and reacting.
Productively, rootedness enables us to grow beyond the security of our mother and establish ties with the outside world.
The additional speech sounds that the human tongue enables us to produce, particularly, allow humans to unconsciously infer the length of the vocal tract of the person who is talking, a critical element in recovering the phonemes that make up a word.
The trick we use is to multiply all the fractional numbers ( including the constant 0. 5 ) in the code above by, which enables us to express them as integers.
Wages paid to labor are denoted by w and the rate of profit or the real interest rate is denoted by r. Note that the assumption of perfect competition enables us to take prices as given.
It's a story that enables us to look at our history not as the history of class struggle, wars, and repressions, but a history of people and personal achievements.
This school argues that post-processual archaeology enables us to recognise the existence of a middle ground between Minimalism and Maximalism, and that both these extremes need to be rejected.
This formula game enables us to express the entire thought-content of the science of mathematics in a uniform manner and develop it in such a way that, at the same time, the interconnections between the individual propositions and facts become clear.
Idealists imagine a positive liberty that enables us to build together toward common objectives that fulfill and even surpass our individual goals.
" " Undoubtedly man's work is the better ," was Akiva's reply ; " for while nature at God's command supplies us only with the raw material, human skill enables us to elaborate the same according to the requirements of art and good taste.
Grace is not just God's loving kindness, favor or mercy, but God ’ s divine life itself, which enables the work of Christ to flow through us.
Israel enables us to bear the agony of Auschwitz without radical despair, to sense a ray God's radiance in the jungles of history.
It enables us to associate, and be friends, with each other and with the gods, our superiors " ( 188d Transl.
It is that power which enables us to love and motivates us to seek a relationship with God through Jesus Christ.

enables and define
Sophisticated animation software enables one to identify specific objects in an image and define how they should move and change during the tweening process.
The most commonly encountered use of the Act was outlined in Section 44 which enables the police and the Home Secretary to define any area in the country as well as a time period wherein they could stop and search any vehicle or person, and seize " articles of a kind which could be used in connection with terrorism ".
This identification enables us to define Ext ( A, B ) even for abelian categories Ab without reference to projectives and injectives.
The ability to define company-specific information architectures enables companies to use DITA to enrich content with metadata that is meaningful to them, and to enforce company-specific rules on document structure.
Pan enables system administrators to define atomic or compound types with associated
* Design Editor This enables the engineer to draw schematic circuits, define the PCB layout and produce the manufacturing data from the completed PCB.
Defining the request-feedback flows enables the modeler to define what processes are inside the black box.
be converted directly into temperature as given above, which enables one to define a stagnation temperature in terms of the more fundamental property,

enables and multiplication
This technique enables bidirectional communications over one strand of fiber, as well as multiplication of capacity.
This enables the microbes to rapidly proliferate, far in excess of the immune system's capability to defend, as prokaryotic bacteria possess a far greater capacity for multiplication than the host's immune system.

enables and homology
A new approach uses a functor from filtered spaces to crossed complexes defined directly and homotopically using relative homotopy groups ; a higher homotopy van Kampen theorem proved for this functor enables basic results in algebraic topology, especially on the border between homology and homotopy, to be obtained without using singular homology or simplicial approximation.

enables and classes
This program enables high school students to attend classes on campus and earn college credit.
The Microsoft Foundation Class Library ( also Microsoft Foundation Classes or MFC ) is a library that wraps portions of the Windows API in C ++ classes, including functionality that enables them to use a default application framework.
The LEAP program at Northwest enables working adults to attend night classes to receive a degree.
The Lewis Katz Building is LEED certified and equipped with advanced high definition digital audiovisual telecommunications capacity that enables the real-time delivery of classes and programs between the law school's Carlisle and University Park campuses and other collaborative projects and programs with schools and institutions worldwide.
The power of one social class to control the means of production enables its exploitation of the other classes.
It enables the teaching of advanced design, prototyping, manufacturing and inspection, automation and control, renewable energy and hydraulics, alongside existing classes in engineering and construction.
Asset Management enables the ability to track multiple classes of assets – office equipment, furniture, lab equipment, or corporate artwork.

us and define
This product allows us to define the " length " of a vector x as
For case # 3, the two boundary pixels define a path which, if we painted the current pixel, may block us from ever getting back to the other side of the path.
Let us define a linear operator P, called the exchange operator.
Let us imagine that the magnetization of a single superparamagnetic nanoparticle is measured and let us define as the measurement time.
And like in these prior examples of unification, the ToE would probably allow us to confidently define the domain of validity and residual error of low-energy approximations to the full theory.
Now, for a particular, let us define a matrix
To make things completely formal, the Cauchy sequences definition of R allows us to define +∞ as the set of all sequences of rationals which, for any K > 0, from some point on exceed K. We can define −∞ similarly.
Category theorists will often think of the ring R and the category R as two different representations of the same thing, so that a particularly perverse category theorist might define a ring as a preadditive category with exactly one object ( in the same way that a monoid can be viewed as a category with only one object-and forgetting the additive structure of the ring gives us a monoid ).
Shakespeare's celebration of the limits that define usof our natures as men and women – upsets only those folks who find human nature itself upsetting.
Let us define the aspiration level A and assume that.
Though frontman Mille Petrozza never cared about this: " For us, success doesn't define in record sales.
Even light itself does not have a " velocity " of c in this sense ; the total velocity of any object can be expressed as the sum where is the recession velocity due to the expansion of the universe ( the velocity given by Hubble's law ) and is the " peculiar velocity " measured by local observers ( with and, the dots indicating a first derivative ), so for light is equal to c (- c if the light is emitted towards our position at the origin and + c if emitted away from us ) but the total velocity is generally different than c .( Davis and Lineweaver 2003, p. 19 ) Even in special relativity the coordinate speed of light is only guaranteed to be c in an inertial frame, in a non-inertial frame the coordinate speed may be different than c ; in general relativity no coordinate system on a large region of curved spacetime is " inertial ", but in the local neighborhood of any point in curved spacetime we can define a " local inertial frame " and the local speed of light will be c in this frame, with massive objects such as stars and galaxies always having a local speed smaller than c. The cosmological definitions used to define the velocities of distant objects are coordinate-dependent-there is no general coordinate-independent definition of velocity between distant objects in general relativity ( Baez and Bunn, 2006 ).
Its newspaper The Five Percenter condemns the states who impose restrictions on their practice as those who " attempt to define us in ways that seeks to criminalize us ".
In a related line of criticism, Michael Sandel, also a Harvard colleague, wrote Liberalism and the Limits of Justice, which criticized A Theory of Justice for asking us to think about justice while divorced from the values and aspirations that define who we are as persons, and which allow us to determine what justice is.
An additional subtlety is that a galaxy at a given comoving distance is defined to lie within the " observable universe " if we can receive signals emitted by the galaxy at any age in its past history ( say, a signal sent from the galaxy only 500 million years after the Big Bang ), but because of the universe's expansion, there may be some later age at which a signal sent from the same galaxy can never reach us at any point in the infinite future ( so for example we might never see what the galaxy looked like 10 billion years after the Big Bang ), even though it remains at the same comoving distance ( comoving distance is defined to be constant with time — unlike proper distance which is used to define recession velocity due to the expansion of space ) which is less than the comoving radius of the observable universe.
This fact can be used to define a type of cosmic event horizon whose distance from us changes over time ; for example, the current distance to this horizon is about 16 billion light years, meaning that a signal from an event happening at present would eventually be able to reach us in the future if the event was less than 16 billion light years away, but the signal would never reach us if the event was more than 16 billion light years away.
The 16 National Millennium Trails that Secretary Slater designated today are all visionary projects that define us as Americans.

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