[permalink] [id link]
The degree of the numerator and degree of the denominator determine whether or not there are any horizontal or oblique asymptotes.
from
Wikipedia
Some Related Sentences
degree and numerator
The cases are tabulated below, where deg ( numerator ) is the degree of the numerator, and deg ( denominator ) is the degree of the denominator.
Each of the Fatou domains contains at least one critical point of, that is, a ( finite ) point z satisfying, or z = ∞, if the degree of the numerator is at least two larger than the degree of the denominator, or if for some c and a rational function satisfying this condition.
For a general rational function such that ∞ is a critical point and a fixed point, that is, such that the degree m of the numerator is at least two larger than the degree n of the denominator, we define the potential function on the Fatou domain containing ∞ by:
In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function ( also known as a rational algebraic fraction ).
Thus the partial fraction decomposition may be seen as the inverse procedure of the more elementary operation of addition of algebraic fractions, that produces a single rational function with a numerator and denominator usually of high degree.
* the numerator is a polynomial of smaller degree than that irreducible polynomial.
To decrease the degree of the numerator directly, the Euclidean algorithm can be used, but in fact if ƒ already has lower degree than g this isn't helpful.
Minutes are actually the numerator component of a fraction with denominator 60 of one degree.
In control theory, a proper transfer function is a transfer function in which the degree of the numerator does not exceed the degree of the denominator.
In control theory, a strictly proper transfer function is a transfer function where the degree of the numerator is less than the degree of the denominator.
* Partial Fraction Decomposition, a process used to reduce the degree of the numerator or denominator of a fraction
* Proper transfer function, a transfer function in control theory in which the degree of the numerator does not exceed the degree of the denominator
degree and denominator
Each fraction in the expansion has as its denominator a polynomial function of degree 1 or 2, or some positive integer power of such a polynomial.
* The degree of the denominator of the Hilbert series of A
The domain of is the set of all points for which the denominator is not zero, where one assumes that the fraction is written in its lower degree terms, that is, and have several factors of the positive degree.
Although the reasons for this strong attention may vary among these groups — from ISNA ’ s political impact to its peculiarities as a news agency — perhaps the common denominator among all of them was that ISNA presented a novelty on the Iranian ( and to some degree, global ) media scene.
The common denominator of this category of English country house, is that they were designed to be lived in with a certain degree of ceremony and pomp.
degree and determine
The genuinely interesting question, then, becomes: What factors determine the degree of realism or distortion in conventional images of Jews??
Related to this is lexicostatistics, which attempts to determine the degree of relation between a set of languages by comparing the percentage of basic vocabulary ( words like " I ", " you ", " heart ", " stone ", " two ", " be ", " and ") they share in common.
This concept of " corrected lime potential " to define the degree of base saturation in soils became the basis for procedures now used in soil testing laboratories to determine the " lime requirement " of soils.
The luminescence can be measured to determine the degree of exposure to which the dosimeter has been subjected.
They noted, however, that their data included a wide range of products, and the degree of competition in each market varied significantly, and offer that further research on this issue should be conducted to determine whether these findings remain the same when purchasing the same product for both small and high volumes.
From this analysis, the financial planner can determine to what degree and in what time the personal goals can be accomplished.
The third edition rules replace specialized matrices with the Action Control Table ( ACT ), a single, color-coded chart that allowed players to determine whether a character action succeeded, and the degree of success, with a single roll.
# Relations of production help determine the degree and types of the development of the forces of production.
Tests subject to determine degree of physical and emotional suggestibility.
Much of the scholarly work concerning the references to Jesus in Josephus has thus concentrated on close textual analysis of the Josephan corpus to determine the degree to which the language, as preserved in both early Christian quotations and the later transmissions, should be considered authentic.
Pressure should be applied with the fingertips over the ankle to determine the degree of swelling.
The SCA also has the right to determine the number of tugs required to assist warships transiting the canal to achieve the highest degree of safety during transit.
For single crystals of sufficient purity and regularity, X-ray diffraction data can determine the mean chemical bond lengths and angles to within a few thousandths of an angstrom and to within a few tenths of a degree, respectively.
The probabilities of crossover ( pc ) and mutation ( pm ) greatly determine the degree of solution accuracy and the convergence speed that genetic algorithms can obtain.
It allows chemists to determine amounts of substances produced in a given reaction to a great degree of accuracy.
Assuming the roll didn't botch, the total is ( as above ) compared to the difficulty of the action to determine success or failure ( and the degree of success or failure ).
Obviously, not every citizen can be asked to participate in a poll to determine his or her consent to every proposal in which some degree of coercion is involved, so one has to assume that all citizens are reasonable.
From 2004 to 2006, Stephen B. Plank and colleagues from John Hopkins University conducted a correlational study to determine the degree to which the physical appearance of the school and classroom setting influence student behavior, particularly in respect to the variables concerned in their study: fear, social disorder, and collective efficacy.
This information is combined with local climatic data ( degree day ) heating and cooling requirements to determine at what time of the year solar gain will be beneficial for thermal comfort, and when it should be blocked with shading.
Alternatively, passive solar computer software can determine the impact of sun path, and cooling-and-heating degree days on energy performance.
Liver biopsies are used to determine the degree of liver damage present ; however, there are risks from the procedure.
There are a number of blood tests available that try to determine the degree of hepatic fibrosis and alleviate the need for biopsy.
In 1744, La Condamine, in charge of the expedition sent to Peru in 1735 to determine the length of a degree of the meridian arc in the neighbourhood of the equator, passed by and gave his name to one of the mountains behind Kourou.
degree and whether
The theorem which we prove is more general than what we have described, since it works with the primary decomposition of the minimal polynomial, whether or not the primes which enter are all of first degree.
The degree of circumstance, the ratio of memory to forgetfulness, determines whether a dream will be a recognized, fulfilled prevision, or the vaguely, effective source of the weird deja vue feeling.
whether in the last degree or a lesser one was a matter to be determined individually.
and allowed little initiative in early play and work patterns -- then in adolescence her normal degree of vanity, sensitivity, and preoccupation with whether others find her appearance and behavior acceptable, will be compounded.
For instance, we cannot know whether even for church members the degree of conformity to Christian standards of morality increased or declined as the proportion of church members in the population rose.
The question whether there is a limit to the degree of cold possible, and, if so, where the zero must be placed, was first addressed by the French physicist Guillaume Amontons in 1702, in connection with his improvements in the air thermometer.
There is some division as to whether it should be regarded as a parody religion, and if so to what degree.
The Court is quite permissive in accepting a state's derogations from the Convention but applies a higher degree of scrutiny in deciding whether measures taken by states under a derogation are, in the words of Article 15, " strictly required by the exigencies of the situation ".
Individual differences in dental structure, lip shape and size, jaw shape and the degree of jaw malocclusion, and other anatomical factors will affect whether a particular embouchure technique will be effective or not.
The degree to which images are used or permitted, and their functions — whether they are for instruction or inspiration, treated as sacred objects of veneration or worship, or simply applied as ornament — depend upon the tenets of a given religion in a given place and time.
In his famous Commentaries on the Laws of England he wrote that " every wanton and causeless restraint of the will of the subject, whether produced by a monarch, a nobility, or a popular assembly is a degree of tyranny.
In fact, it is even unclear whether Hart himself held this view in its broad form, for he insisted both that to be a legal system rules must have a certain minimum content, which content overlaps with moral concerns, and that it must attain at least some degree of justice in the administration of laws.
Critics of the free will response have questioned whether it accounts for the degree of evil seen in this world.
Steroids are often given in high dose at the onset, in hope that the degree of inflammation and swelling of the cord will be lessened, but whether this is truly effective is still debated.
Often a court will assert a modest degree of power over a case for purposes of determining whether it has jurisdiction, and so the word " power " is not necessarily synonymous with the word " jurisdiction ".
Value theory encompasses a range of approaches to understanding how, why and to what degree people value things ; whether the thing is a person, idea, object, or anything else.
The association offers grants and loans with maturities ranging from 25 to 40 years, grace periods of 5 to 10 years, and interest rates of 2. 8 % or 1. 25 % depending on whether the borrower is a blend country and to which degree it is eligible.
The two winemaking decisions that most widely affect the end result of a Chardonnay wine is whether or not to use malolactic fermentation and the degree of oak influence used for the wine.
Henry also petitioned, in the event of his becoming free, a dispensation to contract a new marriage with any woman even in the first degree of affinity, whether the affinity was contracted by lawful or unlawful connection.
However, from a legal perspective, they are capital stock and therefore may entitle holders to some degree of control depending on whether they contain voting rights.
To the degree this is consistent if you take other work nearby, this opens the questions of what is not " firm-specific " and whether a nation is just a bigger " firm ": Some analyses see political capital, or just " influence " or " trust of professionals " as a full style of capital of its own.
1.485 seconds.