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Page "Euclidean plane isometry" ¶ 45
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Some Related Sentences

applies and regardless
The Covenant of Grace applies to all who trust Christ for their salvation, regardless of ethnicity, and thus the Covenant covers Jews and Gentiles alike with regard to salvation, sanctification, and resurrection.
This phrase applies regardless of which hole is being played.
This applies regardless of whether overlines are considered as wins, but it assumes that the rule of three and three is not used.
** Moral universalism ( or universal morality ) is the meta-ethical position that some system of ethics, or a universal ethic, applies universally, that is to all people regardless of culture, race, sex, religion, nationality, sexuality, or other distinguishing feature.
The voluntariness standard applies to all police interrogations regardless of the custodial status of the suspect and regardless of whether the suspect has been formally charged.
The general form of the gain equation, which applies regardless of the input intensity, derives from the general differential equation for the intensity I as a function of position z in the gain medium:
This applies regardless of the number of limbs-even arthropods with six, eight or more limbs.
By comparison, the term means of production applies to these means independent of their ownership and their compensation, and regardless of whether the mode of production is capitalist, feudal, slave, communal, or otherwise.
Moral universalism ( also called moral objectivism or universal morality ) is the meta-ethical position that some system of ethics, or a universal ethic, applies universally, that is, for " all similarly situated individuals ", regardless of culture, race, sex, religion, nationality, sexuality, or any other distinguishing feature.
When a school applies for accreditation for its MBA programs, AMBA requires that the entire portfolio of MBA programs be put up for consideration ( See diagram on the right ) and will award accreditation only if all programs meet the organization's criteria ( though the school pays the same fee regardless of the number of programs being reviewed ).
A broader use of the term " cosplay " applies to any costumed role play in venues apart from the stage, regardless of the cultural context.
The practice of subordinates addressing the RSM as " Sir " or " Ma ' am " applies only to Regimental Sergeants Major who are army or air force CWOs ; naval CPO1s are universally addressed as " Chief ", regardless of any appointments held.
It also applies to companies, regardless of whether they are financial institutions, who receive such information.
Those working with such material should have the relevant security clearance and often are required to sign to confirm their understanding and acceptance of the Official Secrets Acts 1911 to 1989, although the Act applies in the same way regardless of signature.
Demonetisation is currently prohibited in the United States and the Coinage Act of 1965 applies to all US coins and currency regardless of age.
The larger group of seven rules applies regardless of the method of transport, with the smaller group of four being applicable only to sales that solely involve transportation over water.
Sharia Law applies to all people inside Saudi Arabia, regardless of religion.
This category applies to servicemembers held captive or hostage by non-state actors regardless of the existence of an active armed conflict.
The author noted that it " applies to all white people ( i. e., people of European descent ) living in the United States, regardless of class, gender, religion, culture or sexuality ".
The Supreme Court invoked Section 125 of Code of Criminal Procedure, which applies to everyone regardless of caste, creed, or religion.
Amontons law applies to any 2 surfaces, regardless of their orientation.
There are many distinct differences between buying and leasing, regardless if such a transaction or agreement applies to property, machinery, equipment or other assets.
Note: The OUI of AC-DE-48 is used for illustrative purposes only and this information applies regardless of the actual value of the OUI.
This change was controversial because it applies retrospectively to immigrants who had entered Britain under the old rules, meaning the British Government had " moved the goalposts "-a degree is effectively now an essential requirement, regardless of the skills or economic contribution that an individual can demonstrate.

applies and details
Although the details differ greatly, this general sequence applies to all games.
The term also generally applies to a product that is announced months or years before its release, and for which public development details are lacking.
The book also details the mythoi of these religions, as well as how their clerics should behave, and describes the known planes of existence and how the afterlife applies to characters.
In The Descent of Man, Darwin applies evolutionary theory to human evolution, and details his theory of sexual selection.
In the book, Smolin details his fecund universes theory which applies the principle of natural selection to the birth of universes.
A similar result for the asymptotic distribution applies, but with a minor adjustment factor: see the latter article for details.
This also applies to work situations ; HSPs can be great employees — good with details, thoughtful and loyal, but they do tend to work best when conditions are quiet and calm.
In the foregoing remarks what has been said in regard to the careful treatment of details applies still more to the miniatures executed in grisaille, in which the absence of color invited an even stronger accentuation of that treatment.
In the early 20th century, the phrase no longer necessarily applies to an epic poem, and occurs to describe a literary work that readers and critics agree is emblematical of the literature of a nation, without necessarily including details from that nation's historical background.
Note that information on this species applies to Western Europe and some details may not be consistent with the species in other parts of its range.
This law also applies to any other instruction manuals possessing details on the subject.
All in all, the model kits are both play-toys and potential centerpieces of a model showcase, assuming that a skilled painter applies his full range of techniques on all the details.
If the seller refuses to sell the real estate when one of the above two conditions applies, it is typically considered that the real estate agent has done his job of finding a satisfactory buyer and the seller must still pay the commission, although the details are determined by the listing contract.

applies and probability
Statistical mechanics or statistical thermodynamics is a branch of physics that applies probability theory, which contains mathematical tools for dealing with large populations, to the study of the thermodynamic behavior of systems composed of a large number of particles.
The same applies to the event of typing a particular version of Hamlet followed by copies of itself ad infinitum ; or Hamlet immediately followed by all the digits of pi ; these specific strings are equally infinite, they are not prohibited by the terms of the thought problem, and they each have a prior probability of 0.
Indeed, there are non-Bayesian updating rules that also avoid Dutch books ( as discussed in the literature on " probability kinematics " following the publication of Richard C. Jeffrey's rule, which applies Bayes ' rule to the case where the evidence itself is assigned a probability ).
One applies Bayes ' theorem, multiplying the prior by the likelihood function and then normalizing, to get the posterior probability distribution, which is the conditional distribution of the uncertain quantity given the data.
Information geometry is a branch of mathematics that applies the techniques of differential geometry to the field of probability theory.
He begins with a 50 percent probability that God exists ( arguing that 50 – 50 represents " maximum ignorance "), then applies a modified Bayesian theorem:
The book is about probability and how it applies to the theory of evolution, and is designed to debunk claims by creationists about the probability of naturalistic mechanisms like natural selection.
As the term " modal " applies to data sets and probability distribution, and not in general to functions, the definitions above do not apply.
According to a CDC definition, " the term ' syndromic surveillance ' applies to surveillance using health-related data that precede diagnosis and signal a sufficient probability of a case or an outbreak to warrant further public health response.

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