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Page "Limit (category theory)" ¶ 80
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which and is
It is also possible, but equally doubtful, that he actually shot down the hundreds of men with which his legend credits him.
Let me pass over the trip to Sante Fe with something of the same speed which made Mrs. Roebuck `` wonduh if the wahtahm speed limit '' ( 35 m.p.h. ) `` is still in ee-faket ''.
The place is inhabited by several hundred warlike women who are anachronisms of the Twentieth Century -- stone age amazons who live in an all-female, matriarchal society which is self-sufficient ''.
It is the last of the three tests of manhood which the women impose, to discover if a male is worthy of survival there.
It took thirty of our women almost six moons to build this one, which is higher and stronger than the old one.
`` I'd like to know just which it is that those guys don't understand, the liquor or automobiles ''.
The woman eyed the youth with the avidity a coin collector might display toward a rare doubloon which is not yet in his collection.
It is these other differences between North and South -- other, that is, than those which concern discrimination or social welfare -- which I chiefly discuss herein.
It became the sole `` subject '' of `` international law '' ( a term which, it is pertinent to remember, was coined by Bentham ), a body of legal principle which by and large was made up of what Western nations could do in the world arena.
Of greater importance, however, is the content of those programs, which have had and are having enormous consequences for the American people.
Recognizing that the Rule of Law is `` a dynamic concept which should be employed not only to safeguard the civil and political rights of the individual in a free society '', the Congress asserted that it also included the responsibility `` to establish social, economic, educational and cultural conditions under which his legitimate aspirations and dignity may be realized ''.
For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.
That is particularly true of sovereignty when it is applied to democratic societies, in which `` popular '' sovereignty is said to exist, and in federal nations, in which the jobs of government are split.

which and natural
The youth with the snake had a natural pride and joy of life which appealed to the woman.
I fled, however, not from what might have been the natural fear of being unable to disguise from you that the things about my bridegroom -- in the sense you meant the word `` things '' -- which you had been galvanizing yourself to tell me as a painful part of your maternal duty were things which I had already insisted upon finding out for myself ( despite, I may now say, the unspeakable awkwardness of making the discovery on principle, yes, on principle, and in cold blood ) because I was resolved, as a modern woman, not to be a mollycoddle waiting for Life but to seize Life by the throat.
As the field on which my tent was pitched was a favorite natural playground for the kids of the neighborhood, I had made many friends among them, taking part in their after-school games and trying desperately to translate Grimm's Fairy Tales into an understandable French as we gathered around the fire in front of the tent.
His father was a professor at Hartford Theological Seminary, and from him he acquired a conviction, which he passed along to me, that there is in the universe of persons a moral law, the law of love, which is a natural law in the same sense as is the physical law.
After the seventeenth century the audience ceased to be an organic community to which these ideas and their attendant habits of figurative language would be natural or immediately familiar.
They react in obedience to an instinct or urge which has itself been impelled by natural law.
Graceful as his fencing and dancing lessons had taught him to be in addition to the natural grace of his slight, wiry frame, he cut enough of a figure to have evoked a nickname in the college, to which he himself referred in Prolusion 6::
In the earlier sessions there was plentiful discussion on the natural law, which Dr. William V. O'Brien of Georgetown University, advanced as the basis for widely acceptable ethical judgments on foreign policy.
It was only natural that Fletcher would strive for a position in which he could make the decisions.
If your pool is located on or near sloping ground, it may have natural drainage which is certainly more desirable than to be faced with the annual expense and labor of first pumping out the water and then scooping out all the debris.
Other natural features which can be of high interest are the forests, canyons, mountains, deserts, seacoast, beaches, sand dunes, waterfalls, springs, etcetera with which the area is blessed.
And like this English master, Mason realizes his subjects in large, simplified masses which, though they seem effortless, are in reality the result of skilled design born of hard work and a thorough distillation of the natural form that inspired them.
and natural waters, in addition, often contain impurities such as calcium salts which can react with soils to make them more difficult to remove.
The natural anatomical and physiological defensive features of the upper respiratory tract, such as the turbinates of the nose and the cilia of the trachea and larger bronchi, are capable of impinging out the larger particles to which we are ordinarily exposed in our daily existence.
It is natural from the marksman's viewpoint to call a bull's-eye a success, but in the mice example it is arbitrary which category corresponds to straight hair in a mouse.
We find it in the later Stoic conception of man's natural condition which included the community of all possessions.
Finally, the conception of the natural community of all possessions which originated with the Stoics was firmly fixed in a tradition by More's time, although it was not accepted by all the theologian-philosophers of the Middle Ages.
In a properly ordered society the massive force of public law performs the function which in natural law theory ineptly is left altogether to a small voice so often still.
the soap nut, which owes its sudsing power to natural saponins ; ;
It is natural that he should turn for his major support to a select and dedicated few from the organization which actually owns the university and whose goals are, in their opinion, identified with its highest good and ( to use that oft-repeated phrase ) ' the attainment of excellence ' ''.
If this aspect of death as punishment is not distinguished from the idea of death as natural termination, the conclusion seems inevitable that temporal existence itself is a form of punishment rather than the state into which man is put by the will of the Creator.
The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.

which and variable
With the existence of these many factors, some of them variable, it obviously has never been and is not now possible for the Commission to make assignments of AM stations on a case-to-case basis which will insure against any interference in any circumstances.
Three different wavelengths of ultraviolet radiation are selected by the variable filters placed in front of the three mercury xenon lights which serve as the ultraviolet sources.
In the discussion which follows, the time average of the radio emission will be referred to as the constant component, and the superimposed periodic variation will be called the variable component.
The several trials of a binomial experiment produce a new random variable X, the total number of successes, which is just the sum of the random variables associated with the single trials.
Moreover, whereas in Interstate Commerce Commission parlance `` variable cost '' means a cost deemed to vary in direct proportion to changes in rate of output, in the type of analysis now under review `` variable cost '' has been used more broadly, so as to cover costs which, while a function of some one variable ( such as output of energy, or number of customers ), are not necessarily a linear function.
Profile cutting machines are available which can split foam to any desired thickness and produce sine, triangle, trapezoid, and other profiles in variable heights, dimensions, etc..
We replace r, the number of the stage from the end of the process, by t, a continuous variable which measures the `` distance '' of the point considered from the end of the process.
In statistics, analysis of variance ( ANOVA ) is a collection of statistical models, and their associated procedures, in which the observed variance in a particular variable is partitioned into components attributable to different sources of variation.
; Fixed effect: An effect associated with an input variable that has a limited number of levels or in which only a limited number of levels are of interest to the experimenter.
The fixed-effects model of analysis of variance applies to situations in which the experimenter applies one or more treatments to the subjects of the experiment to see if the response variable values change.
The aardvark is not closely related to the pig ; rather, it is the sole recent representative of the obscure mammalian order Tubulidentata, in which it is usually considered to form one variable species of the genus Orycteropus, the sole surviving genus in the family Orycteropodidae.
An analog or analogue signal is any continuous signal for which the time varying feature ( variable ) of the signal is a representation of some other time varying quantity, i. e., analogous to another time varying signal.
This process would be repeated manually for each of the equations, which would result in a system of equations with one fewer variable.
The composition of resins is highly variable ; each species produces a unique blend of chemicals which can be identified by the use of pyrolysis – gas chromatography – mass spectrometry.
semantics are very strong: they guarantee that the read and write operations to the variable behave exactly as if they happened instantaneously in some point in time which is within the actual time where the operation took place.
Imperative ADT definitions often depend on the concept of an abstract variable, which may be regarded as the simplest non-trivial ADT.
If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).
However, the extent to which acid rain contributes directly or indirectly via runoff from the catchment to lake and river acidity ( i. e., depending on characteristics of the surrounding watershed ) is variable.
The compositions of these early " brass " objects are very variable and most have zinc contents of between 5 % and 15 % wt which is lower than in brass produced by cementation.
Equally important is to determine whether no such assignments exist, which would imply that the function expressed by the formula is identically FALSE for all possible variable assignments.
In his 1799 doctorate in absentia, A new proof of the theorem that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree, Gauss proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.
The bobbin is rotated in a double-axis gyratory motion ( a cardioid ), which causes a variable gravity ( G ) field to act on the column during each rotation.
* AM CVn, a very blue star of magnitude 14, is the prototype of a special class of cataclysmic variable stars, in which the companion star is a white dwarf, rather than a main sequence star.

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