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Topic: Pell number

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	14 (number) - Encyclopedia, History, Geography and Biography
		Fourteen is a composite number, its proper divisors being 1, 2 and 7.
		This number is the lowest even n for which the equation φ(x) = n has no solution, making it the first even nontotient (see Euler's totient function).
		Fourteen is a Keith number in base 10: 1, 4, 5, 9, 14...
	www.arikah.net /encyclopedia/XIV (556 words)

	5 (number) (Site not responding. Last check: 2007-10-21)
		Five is the only prime number to end in the digit 5, because all other numbers written with a 5 in the ones-place under the decimal system are multiples of five.
		The Saros number of the solar eclipse series which began on April 4, 2720 BC and ended on May 24, 1422 BC.
		The Saros number of the lunar eclipse series which began on -2581 October 8 and ended on -1084 March 24.
	hallencyclopedia.com /5_(number) (1644 words)

	12 (number) (Site not responding. Last check: 2007-10-21)
		Twelve is a composite number, its proper divisors being 1, 2, 3, 4 and 6.
		Twelve is a Harshad number and a Pell number.
		In Greek mythology, the number of labours of Heracles (Hercules).
	www.free-download-soft.com /info/jobfish.html (853 words)

	Pell's equation
		The first non-trivial solution of this Diophantine equation, from which all others are easily computed, can be found using, e.g., the cyclic method [1], known in India in the 12th century, or using the slightly less efficient but more regular English method [1] (17th century).
		We define the size of the fundamental solution as the number of base 10 digits of the smallest y higher than one that solves Pell's equation (actually, we use the base 10 logarithm of the fundamental solution).
		By Gauss' quadratic reciprocity law, the reverse is also true because the interesting values of A are of the form 4k+1 (it is interesting to note that, modulo 60, the only numbers that are simultaneously quadratic residues modulo 3, 4, and 5 are congruent, modulo 60, to either 1 or 49).
	www.ieeta.pt /~tos/pell.html (585 words)

	Pell's equations
		a number of travelers entered with joy.” There were 63 heaps of equal numbers of fruit and a seperate pile of seven fruits.
		If the stranger can tell the numbers of bulls and cows, s/he would not be counted as unskilled or ignorant, but would not yet be counted among the wise.
		You see, in addition, the sum of two of the breeds must be a square number, and the rest must be a triangular number, and the totals must be broken down by breeds and genders, so this ups the stakes considerably.
	users.ncia.net /~bobmead/Pells.html (1177 words)

	Number of needy students drops at top universities (Site not responding. Last check: 2007-10-21)
		The number of Pell holders also declined at the University of Pittsburgh, Western Pennsylvania's largest public campus.
		The total number of recipients nationally varies annually but is estimated this year to be a record 5.3 million, up from 3.7 million a decade ago.
		Betsy Porter, Pitt's director of admissions and financial aid, wondered if the decline in Pell recipients on her campus from 24 percent to 21 percent, or 684 fewer than in the early 1990s, is linked to a decline in part-time students during the 1990s or perhaps a Pell formula change.
	www.post-gazette.com /pg/04326/414682.stm (1985 words)

	Boston.com / News / Boston Globe / Opinion / Editorials / Fuzzy Pell Grant math
		Pell Grants go to low-income students and can be as much as $4,050 a year.
		Ohio congressman John Boehner, chairman of the House Committee on Education and the Workforce, says the total number of Pell Grant recipients should actually increase by 25,000.
		So even though Pell Grant funding is at "an all-time high," according to Boehner, the money has to cover more students.
	www.boston.com /news/globe/editorial_opinion/editorials/articles/2004/12/30/fuzzy_pell_grant_math (498 words)

	L I N K S- CSP Home - Other Reports - An Evaluation of Georgia's HOPE Scholarship Program '98 (Site not responding. Last check: 2007-10-21)
		From 1993 to 1996, Georgia’s PELL applications soared, and the number of Pell recipients increased by 16.8%, despite the fact that the number of high school graduates in Georgia remains nearly the same.
		The number of Georgia high school graduates who attend Georgia public colleges and universities has remained steady over the past four years, but a growing percentage of students are receiving the HOPE scholarship.
		It is likely that a number of these students have attended two-year institutions and are transferring at this point to continue their baccalaureate studies.
	www.arc.gsu.edu /csp/csp_hope98.htm (7481 words)

	FY 2005 ED Budget Summary: Student Financial Assistance
		Since 2000, the number of Pell recipients has grown by nearly 25 percent, thanks in part to the overall boom in college enrollment.
		Although funding for Pell Grants has increased since fiscal year 2000 by $4.4 billion, or nearly 60 percent, in recent years both insufficient Pell appropriations and a surge in the number of Pell Grant recipients is expected to result in a $3.7 billion funding shortfall at the end of the 2004-2005 award year.
		Specifically, from 2000-01 to 2003-04, the number of Pell recipients is expected to increase an average of 413,000 recipients per award year, compared to an average of 32,000 recipients per award year from 1996 to 1999.
	www.ed.gov /about/overview/budget/budget05/summary/edlite-section2d.html (3493 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		RBRMIXD_PCT NUMBER 6 3 NO PERCENT: The percent to be applied to each component in the student's budget for the associated group code when defining a mixed budget.
		RCRAIDY_MSG_ID_1_MENU NUMBER 6 NO VRU Message ID for the beginning term of the award year to be spoken in menus during telephone Financial Aid.
		RCRAIDY_MSG_ID_2 NUMBER 6 YES VRU Message ID for the ending term of the award year to be spoken during telephone Financial Aid.
	www.imperial.cc.ca.us /sct/finaid/DOCS/FAISMGR_Tables.htm (9228 words)

	IFAP - Electronic Announcements
		The Federal Pell Grant Program regulations at 34 CFR 690.83(a) establish the deadline by which a school must submit student payment data each award year.
		There are two Pell Grant Data Requests available to assist a school as it completes both the year end and ongoing reconciliation processes.
		If the school has a student in a Pell Overpayment Project (POP) situation, the Pell Person Information screen on the COD web site allows the school to view the activities of other schools with respect to originations and disbursements for that student.
	www.ifap.ed.gov /eannouncements/0902PellProcDeadline0304.html (826 words)

	The Student Guide 2003-2004: Types of Federal Student Aid : Federal Pell Grant (Site not responding. Last check: 2007-10-21)
		Generally, Pell Grants are awarded only to undergraduate students who have not earned a bachelor’s or professional degree.
		Pell Grants are usually a foundation of financial aid, to which aid from other federal and nonfederal sources might be added.
		Pell Grants for the 2003-2004 award year (July 1, 2003 to June 30, 2004) will depend on program funding.
	www.studentaid.ed.gov /students/publications/student_guide/2003_2004/english/types.htm (382 words)

	Geometry.Net - Basic_F: Fibonacci Numbers Geometry
		The first number is usually regarded as the Golden Ratio itself, the second as the negative of its reciprocal.
		Fibonacci numbers are closely related to the golden ratio (also known as the golden mean, golden number, golden section) and golden string.
		Fibonacci numbers are implemented in Mathematica as Fibonacci n The Fibonacci numbers give the number of pairs of rabbits n months after a single pair begins breeding (and newly born bunnies are assumed to begin breeding when they are two months old), as first described by Leonardo of Pisa in his book Liber Abaci.
	www.geometry.net /basic_f/fibonacci_numbers_geometry.php (2827 words)

	ipedia.com: 70 (number) Article (Site not responding. Last check: 2007-10-21)
		Seventy is a Pell number and a Harshad number.
		It is also pentagonal, tridecagonal number and the smallest Weird number.
		The number of elders assembled by Moses on God's command in the desert (Holy Bible, Numbers 11:16-30).
	www.ipedia.com /70__number_.html (247 words)

	Pell number - Encyclopedia, History, Geography and Biography
		Pell number - Encyclopedia, History, Geography and Biography
		This encyclopedia, history, geography and biography article about Pell number contains research on
		Pell number, Pell numbers and Companion Pell numbers (Pell-Lucas numbers).
	www.arikah.net /encyclopedia/Pell_number (217 words)

	Pell number -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		Pell number -- Facts, Info, and Encyclopedia article
		The Pell numbers are defined (Click link for more info and facts about recursively) recursively by:
		The Companion Pell numbers are defined (Click link for more info and facts about recursively) recursively by:
	www.absoluteastronomy.com /encyclopedia/p/pe/pell_number.htm (97 words)

	The Student Guide 2004-2005: Types of Federal Student Aid-Federal Pell Grants
		Generally, Pell Grants are awarded only to undergraduate students— those who haven’t earned a bachelor’s or graduate degree.
		Pell Grants are usually a foundation of federal student aid, to which aid from other federal and nonfederal sources might be added.
		The maximum Pell Grant for the 2004-2005 award year (July 1, 2004 to June 30, 2005) is $4,050.
	studentaid.ed.gov /students/publications/student_guide/2004_2005/english/types.htm (320 words)

	Search results for Pell's Equation - 08/08/04 (Site not responding. Last check: 2007-10-21)
		Pell's equation Pell's equation is an equation whose solutions yield good rational approximations to square roots of natural numbers.
		Pell's equation is an equation whose solutions yield good rational approximations to square roots of natural numbers.
		Pell's equation is an important topic of algebraic number theory that involves...
	www.imathination.net /links_pells_equation_080804.htm (2938 words)

	2002-2003 COD Specifications
		The Pell ID will still be a part of the front-end FAFSA process, but when you get to the back-end process, Direct Loans and Pell will be processed under the COD ID, which consists of the student’s Social Security Number, Birth Date, and Last Name.
		Since Pell does not currently report the student’s address and the address is not award program specific, the student’s address will be sent using a parameter option to determine the address type to select (default =permanent) from screen 3 (IAARCAD).
		When the first Pell disbursement occurs, the program will store the Pell disbursement number (which will always be 1), the Pell sequence number (which will be incremented by 1), and the Pell disbursement amount that is being reported to COD.
	www.uky.edu /IS/AdminApps/SIS/COD/CODSpecs.htm (2337 words)

	[No title]
		If the student enrolled in a crossover payment period before the first day of the Pell award year (July 1), but which will be paid from 2002-2003 funds, report the actual start date of the student's classes for that payment period.
		Federal Pell Grant award previously based on the secondary EFC and reported to the Federal Pell Grant program; student's award now based on the original EFC.
		Total Number SSA Match: Total number of students in this document that are reported by CPS to have a SSA match not equal to 4.
	www.ifap.ed.gov /cod/attachments/CommonRecord1pt0.xsd (3692 words)

	[02-12-98] Eve Pell, These Competitors Are Never Past Their Prime
		While the television cameras focus on Olympic athletes that seem impossibly young, and competitors in their late 20s are considered "over the hill," athletes 40 and over -- including some in their 90s -- are a growing presence on tracks and fields everywhere.
		Pell is the number one ranked woman road runner over 60 in the United States, and will be writing a monthly column on veteran athletes for Pacific New Service.
		Between 1980 and 1996, according to the US Track and Field Association, the number of marathon runners over 40 increased more than fivefold, from 31,200 to 162,360.
	www.pacificnews.org /jinn/stories/4.03/980212-veteran-athletes.html (943 words)

	Bush will up number of Pell Grants - The Jambar - pageone
		For the next five years, there will be an increase of $100 each year, changing the maximum grant from $4,050 to $4,550.
		She said there are other factors involved in receiving the Pell Grant beside the tax table.
		Marrero said overall, a larger number of students would be receiving the award.
	www.thejambar.com /news/2005/02/03/Pageone/Bush-Will.Up.Number.Of.Pell.Grants-849696.shtml (510 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		Pell Grant Shares of Undergraduate Enrollments at Historically Black Colleges and Universities 1992-93 and 2001-02
		Pell Grant Students in Undergraduate Enrollments by Institutional Type and Control, 1992-93 to 2000-01
		Pell Grant Recipient Data by State 1976 to 2002
	www.postsecondary.org /ti/ti_37.asp (464 words)

	[No title]
		%C A002720 a(n) is the number of matchings in the bipartite graph K(n,n).
		%C A084552 Of course the total number of symmetric matrices of this type (not necessarily positive definite) is 2^C(n,2).
		%H A001858 David Callan, A Combinatorial Derivation of the Number of Labeled Forests, J. Integer Seqs., Vol.
	www.research.att.com /~njas/sequences/eisBTfry00036.txt (4936 words)

	Encyclopedia: Number 14 (Site not responding. Last check: 2007-10-21)
		Updated 267 days 16 hours 19 minutes ago.
		An unlucky number in China because it is homonymous with ????
		This set is the same as Base 13 fonts with the addition of Zapf Dingbats.
	www.nationmaster.com /encyclopedia/Number-14 (546 words)

	FinAid \| FinAid for Educators and FAAs \| Pell Grant Historical Figures
		This page provides historical figures relating to the Pell Grant.
		Inflation figures are based on the June Consumer Price Index of each year (June 1973 constant dollars).
		The following chart shows the inflation-adjusted maximum Pell Grant, with the blue line representing the CPI-U adjustments and the purple line the tuition inflation adjustments.
	www.finaid.org /educators/pellgrant.phtml (52 words)

	[No title]
		THIS IS AN UPDATE PROGRAM THAT WILL EXTRACT PELL DISBURSEMENTS FROM THE SIS SYSTEM AND WRITE THE STUDENTS ORIGINATION ID,DISBURSEMENT REFERENCE NUMBER, DISBURSEMENT AMOUNT AND WHETHER OR NOT IT IS A POSITIVE OR NEGATIVE AMOUNT AND THE DISBURSEMENT DATE TO AN ASCII FILE.
		PELL INSTITUTE NUMBER POSITION 1 FOR 6 BYTES.
		DEFAULT: MVS (E.G., IMSNODE=DEV) FORM FORM NUMBER TO WHICH THE REPORT IS TO BE SPOOLED DEFAULT: A000 (E.G., FORM=0001) QUEUE QUEUE UNDER WHICH THE REPORT IS TO BE SPOOLED DEFAULT: * (E.G., QUEUE=A) SRTSIZE AMOUNT OF DASD STORAGE IN CYLINDERS ALLOCATED TO EACH SORT WORK FILE.
	www.vhcc.edu /ims/FIN491.txt (777 words)

	DESCRIPTIONS OF AREAS/COURSES IN NUMBER THEORY, LECTURE NOTES
		The idelic approach to number theory, introduction to local fields, the modular curves X
		Analytic Number Theory and Applications: Collection of papers on the occasion of the 60th birthday of Anatolli Alexeevich Karatsuba, Proc.
		A Bibliography of Bernoulli Numbers (Karl Dilcher and Ilja Slavutskii)
	www.numbertheory.org /ntw/N4.html (1977 words)

	On the number of solutions of simultaneous Pell equations (ResearchIndex)
		Abstract: It is proven that if a and b are distinct nonzero integers then the simultaneous Diophantine equations x 2 \Gamma az 2 = 1; y 2 \Gamma bz 2 = 1 possess at most three solutions in positive integers (x; y; z).
		9 Linear forms in the logarithms of algebraic numbers (context) - Baker - 1968
		2 The Queen of Mathematics: An Introduction to Number Theory (context) - Anglin - 1995
	citeseer.ist.psu.edu /487286.html (297 words)

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