The concept of measuring the deflections of a rolling element bearing outer ring during operation was originally demonstrated by Shapiro of the Franklin Institute using strain gages attached to the bearing's outer ring.
A classical characteristic of rolling element bearings is the generation of specific frequencies based on the bearing geometry, number of rolling elements and the speed at which the bearing is rotating.
Prime Spike is a term used by Bently Nevada to describe a vibration frequency range which includes those bearing frequencies that are generated by the rolling elements traversing either an inner or outer race flaw.
The prime number theorem says that the proportion of primes less than x is asymptotic to 1/ln x (in other words, as x gets very large, the likelihood that a number less than x is prime is inversely proportional to the number of digits in x).
A probable prime is an integer which, by virtue of having passed a certain test, is considered to be probably prime.
With this definition, the primes of the field Q of rational numbers are represented by the standard absolute value function (known as the "infinite prime") as well as by the p-adic valuations on Q, for every prime number p.
A generic element is the part of a data element that establishes a structure and limits the allowable set of values of a data element.
A generic element is the part of a data element that establishes a structure (maximum size/length and data type) and limits the allowable set of values of a data element.
Standard data elements should be based upon the data entities and data entity attributes identified in the DoD data model, or recommended for expansion of the DoD data model from a lower level data model, to ensure maximum shareability and interoperability of data throughout the Department of Defense.
A classical characteristic of rolling element bearings is the generation of specific vibration frequencies based on the bearing geometry, number of rolling elements and the speed at which the bearing is rotating (Appendix A).
For a rolling element bearing, it is suggested to be within 1 to 2 inches (25 to 50 mm) from the bearing.
Rotor vibration and Prime Spike displacement (obtained from permanently-installed REBAM® probes) or overall velocity and Prime Spike velocity (obtained from a casing-based measurement), are the primary techniques used to monitor rolling element bearings.
Integral domain(Site not responding. Last check: 2007-10-03)
Alternatively and equivalently integral domains may be as commutative rings in which the zero {0} is prime or as the subrings of fields.
If a and b are elements of the integral domain R we say that a divides b or a is a divisor of b or b is a multiple of a if and only if there exists element x in R such that ax = b.
Every primeelement is irreducible (here the first time we need R to be an integral domain) but converse is not true in all integral (it is true in unique factorization domains however).
An example of a definition for the data element Organization Group Description is: A textual description of the code assigned to each U-M academic and administrative unit for the purposes of financial reporting.
Prime words for the University are being identified by Data Administration through strategic data planning and data modeling efforts.
Because of the severe element name length constraints in some environments (e.g., IMS constraint of a maximum of eight characters in data element names), it may be impossible to include the prime and class word abbreviations in the physical data element name and simultaneously make the name unique and identifiable.
Prime numbers have been the subject of intense research, yet some fundamental questions, such as the Riemann hypothesis and the Goldbach conjecture, have been unresolved for more than a century.
In knot theory, a prime knot is a knot which can not be disaggregated into a smaller prime knot.
+ 1 is prime for n = 0, 1, 2, 3, 11, 27, 37, 41, 73, 77, 116, 154...
en.wikipedia.org /wiki/Prime_number (4607 words)
Class Log(Site not responding. Last check: 2007-10-03)
The principal ideal generated by a primeelement is always prime.
In a principal ideal domain, the principal ideal generated by an irreducible element is maximal (and therefore prime).
Prime always implies irreducible, but there are examples of rings in which irreducible elements are NOT prime!
Except the prime pn,the numbers stroked are composite, so that, if p>pn is a prime, then p belongs the class of residues T[n+1] mod m[n+1].
But one should notice, that T_n contains not only a single prime (the element number 2) but every element of T_n which is less then p_n-1^2 are primes, and easy to prove that it contains all the primes between p_n-1 and p_n-1^2.
The key of the prime formula is a formal expression (a construction of function pn) of the prime and it’s obvious fact, not the obvious fact itself.
Use the previous to construct an element that has one factorization with precisely two irreducible factors and another with precisely 12 irreducible factors.
that factors into two irreducible elements and an example of a prime that is not prime in
Show that if a prime factors into two irreducible elements, then the two elements are primes of
Prime (lending market sector), within which lending product providors are focused on selling products (mortgage, loan or credit card) to the individual who is high-value and/or has a good credit history - as opposed to the subprime market sector.
Prime (planet), a designation of a planet relative to its system in Science Fiction.
Boiler-prime (Boiler-prime-attributes, Boiler-prime-content) > Boiler-prime-attributes (MinTemperature-prime, MaxTemperature-prime) > Boiler-prime-content (steam-prime, water-prime, gunk-prime) > It is therefore possible to think of attributes as syntactic sugar for a very restricted kind of content model.
Unfortunately, this is not quite correct, because XML attributes support a set of constraints on their content which is entirely different to that supported for elements.
In theory, then, attributes are a useful but limited shrthand in most cases, but, essential for IDref and other cases that are not supported in element content.
If a CP forms based upon the settings, elements begin numbering as Control Point elements; for example on the above commentary CP_#_1a = 1.13.
The second column is the difference in dollars between the Prime-Line element and the previous bar close.
This tells you that the CP_1a is above the previous bars close; the mean value is 1.1337; $327.07 between upper and lower PL elements that create the Control Point; $230 from CP to the previous bars close; and 6 coinciding elements create the Control Point.
