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Topic: Digital root

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	Digital root - Wikipedia, the free encyclopedia
		Digital root of a square is 1, 4, 7, or 9
		Digital roots can be calculated with congruences rather than by adding up all the digits, a procedure that can be a real time saver in the case of very large numbers.
		Digital roots are used in Western numerology, but certain numbers deemed to have occult significance (such as 11 and 22) are not always completely reduced to a single digit.
	en.wikipedia.org /wiki/Digital_root (311 words)

	Digital root: Encyclopedia topic (Site not responding. Last check: 2007-11-03)
		Digital root of a perfect number (perfect number: in mathematics, a perfect number is defined as an integer which is the sum of its proper...
		Digital roots can be calculated with congruence (congruence: The quality of agreeing; being suitable and appropriate) s rather than by adding up all the digits, a procedure that can be a real time saver in the case of very large numbers.
		Digital roots can be used as a sort of checksum (checksum: A digit representing the sum of the digits in an instance of digital data; used to check whether errors have occurred in transmission or storage).
	www.absoluteastronomy.com /reference/digital_root (394 words)

	[No title] (Site not responding. Last check: 2007-11-03)
		The root nodes serve as the publisher of the digital messages, interior nodes serve to relay the broadcasted digital messages from the root nodes to the leaf nodes, and the leaf nodes represent the intended recipients of the broadcasted digital messages.
		The output stream is a digital message having a header (containing routing and encryption data) and an encrypted body (containing the main payload of data and a digital signature).
		The broadcast system of claim 9, wherein each of the digital messages is published by the root node, is relayed by at least one of the interior nodes, and is processed by at least one of the leaf nodes.
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=03/28284.030403&ELEMENT_SET=DECL (7449 words)

	[No title] (Site not responding. Last check: 2007-11-03)
		A divisibility theorem (When and why does the digital root test work?) Seth Schoen, December 10, 2001 More general case ----------------- Iff (b-1) is divisible by d, then for all n, the sum of the digits of n in the base b is divisible by d iff n is divisible by d.
		Digital root corollaries ------------------------ The digital root test for divisibility by a digit d in a base b is applicable to all numbers if (b-1) is divisible by d.
		The converse is true: if the digital root test for divisibility by a digit d is applicable for all numbers in a base b, then (b-1) is divisible by d.
	www.crackmonkey.org /~schoen/divisibility-notes.txt (332 words)

	Math Lair - Digital Roots (Site not responding. Last check: 2007-11-03)
		Digital roots are based on the concept of numerical congruence formulated by Carl Friedrich Gauss.
		The largest digit in the decimal number system is 9, and so the sum of the digits of any number are always congruent modulo 9 to that number.
		Since the digits in 225 have a digital root of 9, you know at once that the answer must also have a digital root of 9.
	www.stormloader.com /ajy/digroots.html (387 words)

	[No title] (Site not responding. Last check: 2007-11-03)
		Digital certificates are distributed by an issuer to their owners and are data structures which have a standardized format, such as that specified in the ITU X. standard, among others.
		Digital signatures provide both the capability to identify the signer of an electronic record, and provide the means for protecting the record against tampering.
		While digital signatures can be used to replace the identity and integrity functions of hand-written signatures and paper records, there are other important characteristics of paper records that digital signatures by themselves cannot replicate.
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=01/89133.011122&ELEMENT_SET=DECL (6271 words)

	Digital Roots in ANS
		The additive digital root is obtained by adding the digits of the number, and then adding the digits of the result, and continuing this process until a single digit number is obtained.
		Similarly, a multiplicative digital root of 1278 is 1x2x7x8=112 which reduces to 2.
		The additive root of 100 in ENS is 1 whereas in ANS the digit sum of 9A is 19 which reduces to A as the ANS additive root of 9A.
	my.tbaytel.net /forslund/digroots.html (1028 words)

	Magic 9 - Maths
		If we add up the digits of a number until there is only one number left we have found what is called the digital root.
		The sum of the digits of the number added to 9 is always equal to the sum of the digits of the result.
		Notice that the middle digit is always 9 and that the sum of the first digit and the last digit is 9.
	www.eklavya.org /magic9-1.htm (704 words)

	Digital sum - Wikipedia, the free encyclopedia
		It has been suggested that this article or section be merged into Digital root.
		In some number base, add the digits of a number together, and discard any carry.
		In some number base, repeatedly add the digits of a number together, until it becomes a one-digit number.
	en.wikipedia.org /wiki/Digital_sum (154 words)

	Divisibility-Rules (Site not responding. Last check: 2007-11-03)
		If the digital root is 3, 6 or 9 then the original number is divisible by 3.
		A digital root is the sum of the digits in a number reduced to a single digit.
		If it isn't then the digital root equals the remainder that would be left after dividing by 9.
	sesd.sk.ca /tr/Math/div-rules.htm (448 words)

	Diary for major
		Digital Roots contain additive and multiplicitive properties, so it is highly possible that there is just some natural fallout occuring that produces the patterns.
		While the second algorithm originally used Digital Roots to see if the sum of everything was equal to 1, amatus factored them out trying to create a slightly more general version so he could come up with a proof for it I suppose.
		And then it is off to explain why it is that predictable powers in the pattern intersect at a digital root of 1 at the same time, and a seperate predictable set of powers never reduce 1, and why it is that these powers are always a fixed distance apart.
	www.advogato.org /person/major/diary.html (1083 words)

	MATH VANITY (Site not responding. Last check: 2007-11-03)
		When you add the digits of a number repeatedly until there is a single digit, it is call the digital root of that number.
		The digital root of a number is the value of the remainder when you divide a number by 9.
		By scrambling the digits of the original number will result in a number greater than 0 and of course if the number is greater than zero then sum of the digits will be greater than zero, which means the result will alway be 9.
	www.freerepublic.com /focus/f-chat/1004624/posts (520 words)

	Mystery Math - Teacher Overview
		This single digit is the original number's digital root.
		You know the digital root of their complete answer is 9 and you know the digital root of the numbers they gave to you is 5, so you know they must have crossed out a 4.
		The digital root of those numbers is 9.
	education.jlab.org /beamsactivity/6thgrade/mysterymath/overview.html (463 words)

	raving lunacy: Latex Exam Gloves and Digital Identity (Site not responding. Last check: 2007-11-03)
		The Holy Grail of Digital Identity is some thing, expressed in ones and zeros, moving across a computer network between two computers, to establish a valid presence, and facilitate a transfer.
		At the root Digital Identity is some thing, expressed in ones and zeros, moving across a computer network between two computers, to establish a valid presence, and facilitate a transfer.
		Authentication ("Digital Identity is some thing, expressed in ones and zeros, moving across a computer network between two computers, to establish a valid presence, and facilitate a transfer") is only one small part of Identity.
	theheadlemur.typepad.com /ravinglunacy/2005/09/latex_exam_glov.html (1466 words)

	TB Stumper Answers: 27 October 2000 - Halloween Number Trick (& Treat)
		Base 2 numbers are an interesting case, since the digital root of a binary number is 1 if there are an odd number of 1 digits and 0 if there are an even number.
		Whether you're adding, subtracting, multiplying, or dividing your numbers, the digital root of your answer should be the same as the same operation on the digital roots of your original numbers.
		The sum must have the same digital root as the addends, but the digital root of 1500 = 1+5 = 6, and the sum of a+b+c+...+i = 1+2+3+...+9 = 54 and 54 = 5+4 = 9.
	www.rain.org /~mkummel/stumpers/27oct00a.html (1616 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-11-03)
		Examine both the units digits and the digital roots of perfect squares to help determine whether or not a given number is a perfect square.
		You might already be familiar with computing digital roots if you've used the test for divisibility by 3.
		If the digit is divisible by 3, then the entire number is also divisible by 3.
	mathforum.org /library/drmath/view/61878.html (438 words)

	Homework 3 (Site not responding. Last check: 2007-11-03)
		The last definition, the digital root of a number is a bit harder to define.
		For example, to find the digital root of 94,385 we do as follows: 9 + 4 + 3 + 8 + 5 = 29, then 2 + 9 = 11, and finally 1 + 1 = 2.
		Hence, the digital root of 94,385 is 2.
	www.math.ucla.edu /~rclark/10a.1.04w/hw3/hw3.html (279 words)

	EH Graham Centre
		The funds will be used to purchase a root imaging system for use in the field, a rotary root washer and a digital root measurement system.
		The rotary root washer enables root samples to be efficiently washed and is specifically designed to enable the recovery of very fine root hairs.
		The digital root measurement system comprises two software packages; one is designed to quantitatively analyse washed root samples, the other is designed to assist with the processing of images captured in root observation tubes.
	www.csu.edu.au /research/grahamcentre/news/rootresearch.htm (226 words)

	CTMS: Digital Control Example: Cruise Control: Root-Locus
		In this digital control version of the cruise control problem, we are going to use the root-locus design method to design the digital controller.
		There is a guideline to design digital lead and lag compensators and a guideline for design continuous time lead and lag compensators.
		Note that the whole compensator is multiplied by the gain determined from the root locus.
	www.library.cmu.edu /ctms/ctms/examples/cruise/digccrl.htm (990 words)

	CTM Example: Root Locus Design for Digital DC Motor Position Control
		In this digital DC motor control version of a DC motor, the controller will be designed by a Root Locus method.
		Moreover, the root locus should be in the region where the damping ratio line and natural frequency cross each other to satisfy the design requirements.
		From the above root locus plot, the root locus is drawn in the desired region.
	www.ece.drexel.edu /ctm/examples/motor2/digital.html (1415 words)

	Digital Root Patterns 1 (Site not responding. Last check: 2007-11-03)
		Digital roots provide some good opportunities for finding patterns.
		This involves the children working out the digital roots of the numbers in each of the multipication tables, starting with the one times table, and progressing to the twelve times table.
		The following table shows the digital roots of each of the multipication sums.
	www.teachingideas.co.uk /maths/nopattern/digital.htm (134 words)

	CTM: Digital control Tutorial (Site not responding. Last check: 2007-11-03)
		The basic difference between these controllers is that the digital system operates on discrete signals (or samples of the sensed signal) rather than on continuous signals.
		The purpose of this Digital Control Tutorial is to show you how to work with discrete functions either in transfer function or state-space form to design digital control systems.
		The root-locus is the locus of points where roots of characteristic equation can be found as a single gain is varied from zero to infinity.
	www.engin.umich.edu /group/ctm/digital/digital.html (1465 words)

	Re: Digital Root circuit using tree of 4-bit CLA's with Cout fed into Cin (Site not responding. Last check: 2007-11-03)
		Now, it might be that there is a better way to do the problem you are asking about, but that is a different question.
		Digital Root circuit using tree of 4-bit CLA's with Cout fed int
		Re: Digital Root circuit using tree of 4-bit CLA's with Cout fed
	www.talkaboutelectronicequipment.com /group/comp.lsi/messages/10219.html (232 words)

	ARS \| Publication request: Sensitivity Analysis of Computer Based Diameter Measurement from Digital Images (Site not responding. Last check: 2007-11-03)
		This paper describes research that demonstrates that an adjustment of digital root images allows current software and technology to accurately measure all sizes of root.
		Technical Abstract: Root diameters less than 0.5 mm are infrequently documented in the literature, yet they are a critical component of the root system.
		Software capable of measuring root diameters from digital images has been used extensively to measure root length, but little is know of its efficacy in diameter measurements.
	www.ars.usda.gov /research/publications/publications.htm?seq_no_115=129500&pf=1 (421 words)

	Online Onion Root Tips (Site not responding. Last check: 2007-11-03)
		In plants, the roots continue to grow as they search for water and nutrients.
		In order to examine cells in the tip of an onion root, a thin slice of the root is placed onto a microscope slide and stained so the chromosomes will be visible.
		Although slicing the onion root captures many cells in different phases of the cell cycle, keep in mind that the cell cycle is a continuous process.
	www.biology.arizona.edu /cell_bio/activities/cell_cycle/cell_cycle.html (163 words)

	Icon Program Library: procs/numbers.icn
		The format of the returned value is ., where is a string a decimal digits if the expansion is finite but [] if it is not, where is a string of decimal digits (possibly empty) before the recurring part.
		frn(r, w, d) format real number r into a string with d digits after the decimal point; a result narrower than w characters is padded on the left with spaces.
		L produces maximum of numbers in L. mdp(i) multiplicative digital persistence of i mdr(i) multiplicative digital root of i min !
	www.cs.arizona.edu /icon/library/procs/numbers.htm (453 words)

	Digital Root
		When I introduce digital root or digit sum to them, their puzzling faces suddenly disappear.
		The idea of digit sum or digital root is very old but it is very interesting.
		Digital root code in VB (MS Excel Macro)
	people.revoledu.com /kardi/tutorial/DigitSum (153 words)

	(WO 01/89133) METHOD AND APPARATUS FOR SELF-AUTHENTICATING DIGITAL RECORDS (Site not responding. Last check: 2007-11-03)
		The user signs the record, and obtains the digital certificates and certificate revocation information for all the certification authorities in the chain of the hierarchy extending from the user to the root certification authority.
		A timestamp is applied to the record, the digital certificates and the certificate revocation information to establish a point in time in which all items were created, current and valid.
		If, at some later point, one or more of the digital certificates either expire or are revoked, the timestamp serves as evidence of the integrity of the signed record.
	wipo.int /cgi-pct/guest/getbykey5?KEY=01/89133.011122&ELEMENT_SET=DECL (216 words)

	digital root by roupam ghosh (Site not responding. Last check: 2007-11-03)
		in this site i have stated a theorem that i have found as an application for digital root
		the digital root of a number (say n) is the single digit obtained after adding up its digits and adding up the digits of the result,and continuing thus upto a single digit
		in this site we denote the digital root of a number(say n) by [n]
	www.geocities.com /bappan420 (189 words)

	Digital Certificates FAQ (Site not responding. Last check: 2007-11-03)
		Digital Certificates are used to encrypt SSL connections to websites and to allow you to use Exchange ActiveSync.
		Most websites uses digital certificates from vendors that have root digital certificates installed on the Pocket PC or Smartphone.
		Also, digital certificates which support wildcards for hosts are not supported.
	www.pocketpcfaq.com /faqs/digital_certificates.htm (546 words)

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