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Thursday, December 29, 2011

Young of the year... I whisper the term our old folks use to name a prior spring's wild things—or the year itself

Young of the Year

                               —for Cora Jane Lea


A small hare's stride displays itself in snowdust up on this knob 
that we call The Lookout. Young of the year
I whisper the term our old folks use to name 
a prior spring's wild things—or the year itself, young year.

New grandfather now, have I a right to the phrase? I speak it no matter. 
To me its assonance appeals; 
its heft of optimism and forward-looking 
correct a mood. It's a counter-cry to my vain appeals

to some power unseen that it remake me into a youthful man, 
that it change this world. I scrutinize 
a certain mountain's western flank, ravines 
turned to fat white rivers in winter. I likewise scrutinize

myself in relation to mountain. I used to charge her up and down 
in a slim few hours. Today I wonder 
if I'll climb there again, my strength and stamina less 
than once they were. What isn't? The mountain. The mountain's a wonder.

With inner eyes I see its trees, knee-high at 4000 feet. 
I see myself step onto aprons of stone 
at her summit. I'd never have dreamed how much I'd love it, 
loving that child. In youth the thought would have turned me to stone.

On The Lookout's granite, a wisp—unidentifiable, blooded—of fur. 
So many hundreds and thousands of victims 
in a cruel season. Behind the mountain an airplane 
aroar to put me in mind of bombers searching out victims.

In time it may even be that I'll prefer to see her from here, 
not here from her. I mean the mountain. 
Wonders never cease, it's rightly said. 
Those inner eyes go back and forth from infant to mountain,

where even now in January the hardwoods' fraught tight buds 
display their purple, enduring signal 
of spring. Which will come. Which has never failed to come. 
Already the girl and I have developed private signals:

I can waggle my tongue at her, or flutter my fingers, and make her smile. 
I can lie back humming in uncanny peace, 
child on my chest, and I can remember how 
I held her father. But I think I hold her better. Peace:

perhaps it's for this one exchanges his further dreams. And perhaps I know 
what's worth the knowing here on earth, 
among its weather-decked hills, its beasts and birds 
in their ceaseless cycles, migrations. Of course the glorious earth

will take me back, of course the young-year hare give profligate birth.


SYDNEY LEA

Young of the Year 
Four Way Books

I am available for a poetry reading but don't know if you have the stakes.


Charles Bukowski's 1971 letter outlines terms for poetry reading



"I am available for a poetry reading but don't know if you have the stakes. It would take round-trip air (which, I imagine would be a great deal from L.A. to Florida), plus $200."(Via This isn't Happiness)


Wednesday, December 28, 2011

She shows us how closely she’s studied something that others might simply step over.



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American Life in Poetry: Column 353

BY TED KOOSER, U.S. POET LAUREATE 

Anne Coray is an Alaskan, and in this beautiful meditation on the stillness of nature she shows us how closely she's studied something that others might simply step over. 

The Art of Being 

The fern in the rain breathes the silver message.
Stay, lie low. Play your dark reeds
and relearn the beauty of absorption.
There is nothing beyond the rotten log
covered with leaves and needles.
Forget the light emerging with its golden wick.
Raise your face to the water-laden frond.
A thousand blossoms will fall into your arms.

American Life in Poetry is made possible by The Poetry Foundation (www.poetryfoundation.org), publisher of Poetry magazine. It is also supported by the Department of English at the University of Nebraska-Lincoln. Poem copyright ©2011 by Anne Coray from her most recent book of poetry, A Measure's Hush, Boreal Books, 2011. Poem reprinted by permission of Anne Coray and the publisher. Introduction copyright © 2011 by The Poetry Foundation. The introduction's author, Ted Kooser, served as United States Poet Laureate Consultant in Poetry to the Library of Congress from 2004-2006. We do not accept unsolicited manuscripts.

Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]

Check out this video on YouTube:

http://www.youtube.com/watch?v=ahXIMUkSXX0&feature=youtube_gdata_player

I randomly opened to the poem "Egrets." Like magic, I was pushing through catbrier to the edge of a pond


A Poem A Day: Portable, Peaceful And Perfect

iStockphoto.com

Published: December 26, 2011

by Alan Heathcock

Alan Heathcock is the author of Volt.

I hadn't slept well, had to get my three kids to three different schools in three different cities, had deadlines piled on deadlines. I leaned my head against my bookcases and there, at eye-level, was a book of poetry by Mary Oliver.

I randomly opened to the poem "Egrets." Like magic, I was pushing through catbrier to the edge of a pond, where I watched "a spindle of bleached reeds" become egrets and "unruffled, sure, by the laws of their faith not logic, they opened their wings softly and stepped over every dark thing."

I closed the book, transformed, bolstered from the inside out.

From that day forward, each morning I read a poem. Even with a crazed daily docket, I can manage a minute or two for the words, reading while waiting for the bread to toast, sitting in a school parking lot. I've read poems at jury duty. At Jiffy Lube. Once, at a football tailgate, I read a poem in a Portajohn.

That's the practical greatness of a poem. They don't take much time, travel well, don't require any plug-ins or accessories. It's the ancient and perfect technology of words on a page that make you imagine beyond your means, make you feel the truths of lives that are not yours, and contemplate the life you have.

One morning James Dickey urged, "Lord, let me shake with purpose. Wild hope can always spring from tended strength." Another morning, Belarusian poet Valzhyna Mort told me her little grandmother knows no pain, and "...believes that hunger — is food, nakedness — is a wealth, thirst — is water."

There were sweet and playful mornings, like when Matthew Dickman proposed, "I loved you the way my mouth loves teeth," and all day I smiled, imagining my lips and teeth embracing. There were reflective mornings, like when Reginald Dwayne Betts confessed, "I was never enough saint to leave sin with the devil, leave my lies unsaid."

The older I get, the more life passes in a harried traffic of cars and people and events. This world of shallow speed often sends me to sleep feeling I've been to battle. Battle at dance practice and the soccer game and the drive-thru window, battle to pick up the dry cleaning and get the kids new shoes before I have to attend parent-teachers conferences. Battles at work, battles in my relationships, battles with myself. If you're like me, you long for a bit of quiet, a morning in the chapel, a walk in the woods. If only I had the time to still my mind, take an accounting of myself, find my balance once again.

I'm not a poet. Not much of scholar. Just a guy looking for a little peace in the mad scramble that is life. For me, this peace is a poem. A poem each morning, to sustain me through my days with the faith of an egret stepping over every dark thing. [Copyright 2011 National Public Radio]


Interesting facts about the positive integers from 1 to 10000



Compute Divisors for Positive Integers

Use the form below to get the divisors of and additional information about any positive integer up to 1 million. (decimal places are rounded)

Or just append the integer you want information about to the end of this site's URL. e.g., www.positiveintegers.org/5

   

The Integers 1 to 10000

  • Range is a range of numbers, in groups of 100. Click on the range for more information about that range.
  • Count(Primes) is the count of Prime Numbers in that range.
  • Count(Fibonacci) is the count of Fibonacci Numbers in that range.
  • Max(Count(d(N))) is the highest number of divisors that any single number within that range possesses.
  • Most Composite N is the list of the numbers in the range that have the most divisors.
  • Count(Deficient)Count(Abundant), and Count(Perfect) are the counts ofDeficientAbundant, and Perfect numbers in that range.
RangeCount(Primes)Count(Fibonacci)Max(Count(d(N)))Most Composite NCount(Deficient)Count(Abundant)Count(Perfect)
1-10025101260, 72, 84, 90, 9676222
101-2002111818076240
201-3001612024077230
301-4001612436073270
401-50017024420, 48074251
501-60014024504, 540, 60076240
601-70016124630, 660, 67276240
701-8001403072074260
801-9001503284075250
901-10001412896074260
1001-110016032108077230
1101-120012030120076240
1201-130015036126076240
1301-140011032132074260
1401-150017036144074260
1501-1600121321512, 156077230
1601-170015040168074260
1701-180012036180075250
1801-1900120321848, 189076240
1901-200013036198074260
2001-2100140362016, 210074260
2101-220010040216076240
2201-230015032228075250
2301-2400150362340, 240077230
2401-250010030244874260
2501-260011148252074260
2601-270015040264078220
2701-280014036277274260
2801-290012042288075250
2901-300011036294074260
3001-310012040302476240
3101-320010040312076240
3201-330011040324074260
3301-340015048336074260
3401-350011036342074260
3501-360014045360077230
3601-370013040369678220
3701-380012048378073270
3801-3900110363840, 390074260
3901-400011048396075250
4001-410015042403274260
4101-42009148420076240
4201-430016036428474260
4301-44009048432077230
4401-4500110364410, 450077230
4501-4600120404536, 456073270
4601-4700120484620, 468074260
4701-480012042480074260
4801-490080364860, 489676240
4901-500015036495077230
5001-510012060504075250
5101-520011036514874260
5201-530010048528077230
5301-540010048540074260
5401-550013048546075250
5501-560013048554474260
5601-5700120405616, 567075250
5701-580010048576076240
5801-590016048588073270
5901-60007048594074260
6001-610012048604876240
6101-620011048612077230
6201-630013054630072280
6301-640015042633675250
6401-65008050648074260
6501-6600110486552, 660076240
6601-6700100366624, 666073270
6701-680012156672076240
6801-690012048684076240
6901-700013048693074260
7001-71009048702076240
7101-720010054720074260
7201-730011040728074260
7301-74009048739276240
7401-750011042748875250
7501-760015064756073270
7601-770012040768076240
7701-780010048780077230
7801-7900100367812, 784075250
7901-800010060792074260
8001-810011048806472280
8101-8200100488160, 819078211
8201-830014048828074260
8301-84009060840077230
8401-85008040842473270
8501-8600120488568, 858074260
8601-870013056864078220
8701-880011048873675250
8801-890013054882075250
8901-90009048900076240
9001-910011050907276240
9101-9200120489120, 918073270
9201-930011064924074260
9301-940011060936075250
9401-950015048945075250
9501-960070489504, 9576, 960075250
9601-970013048966076240
9701-980011048972073270
9801-990012054990078220
9901-100009040993677230

The Integers

The integers consist of the positive natural numbers (1, 2, 3, …) thenegative natural numbers (-1, -2, -3, ...) and the number zero. The set of all integers is usually denoted in mathematics by Z - The Integers in blackboard bold, which stands for Zahlen (German for "numbers").

Positive Integers refers to all whole number greater than zero. Zero is not a positive integer. For each positive integer there is a negative integer. Integers greater than zero are said to have a positive "sign".

The Positive Integers are a subset of the Natural Numbers (N - The Natural Numbers), depending on whether or not 0 is considered a Natural Number. The term Positive Integers is preferred over Natural Numbers and Counting Numbers because it is more clearly defined; there is inconsistency over whether zero is a member of those sets. Zero is not an element of the Positive Integers.

The Positive Integers are symbolized by Z+ - The Positive Integers.

Prime numbers are a subset of the positive integers and are of special interest in Number Theory. Note that the number 1 is not a prime number; i.e., for the set of prime numbers P - The Prime Numbers, all P - The Prime Numbers > 1. A prime number is a positive integer that has no positive integer divisors except for 1 and itself. Positive Integers that are not Prime Numbers or 1 are Composite Numbers. The number 1 is neither a Prime Number nor a Composite Number.

Algebraic properties of Integers

Like the natural numbers, Z - The Integers is closed under the operations of addition andmultiplication; that is, the sum and product of any two integers is an integer. However, with the inclusion of the negative natural numbers and zero, Z - The Integers(unlike the natural numbers) is also closed under subtractionZ - The Integers is not closed under the operation of division, since the quotient of two integers ( e.g. , 1 divided by 2), need not be an integer.

The following table lists some of the basic properties of addition and multiplication for any integers a , b and c .

additionmultiplication
closure :a  +  b    is an integera  ×  b    is an integer
associativity :a  + ( b  +  c )  =  ( a  +  b ) +  ca  × ( b  ×  c )  =  ( a  ×  b ) ×  c
commutativity :a  +  b   =   b  +  aa  ×  b   =   b  ×  a
existence of an identity element :a  + 0  =   aa  × 1  =   a
existence of inverse elements :a  + (- a )  =  0
distributivity :a  × ( b  +  c )  =  ( a  ×  b ) + ( a  ×  c )

Ordering

Z - The Integers is a totally ordered set without an upper or lower bound. The ordering of Z - The Integersis given by

... < -2 < -1 < 0 < 1 < 2 < ...

An integer is positive if it is greater than zero and negative if it is less than zero. Zero is defined as neither negative nor positive.

The ordering of integers is compatible with the algebraic operations in the following way:

  1. if a < b and c < d , then a + c < b + d
  2. if a < b and 0 < c , then ac < bc

Divisors

divisor of an integer n, also called a factor of n, is an integer which evenly divides without leaving a remainder. If x is a divisor of n, it can be written that x|n. This is read as x divides n. It is also said that n is divisible by x, and that n is a multiple of x.

1 and -1 are divisors of every integer, and every integer is a divisor of 0. Numbers divisible by 2 are called even and those that are not are called odd.

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