WOLFRAM ALPHA

WolframAlpha

Wolfram Alpha is an engine for computing answers and providing knowledge.It works by using its vast store of expert-level knowledge and algorithms to automatically answer questions, do analysis, and generate reports.

Now, lets look at  how to use wolfram alpha ?!

Type in the problem you want to solve: For example, let's say you want to factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48. To get the answer, type factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48 in the text field. You'll have the correct answer, plus a graphical representation, and much more.

another example: İf you want to compute an integral you just write integral of(...) in the text field.

if you use this programme, you can compute almost everything!

Now, look at the usages in math.

Elementary Mathematics »

do basic arithmetic

125 + 375

do exact arithmetic with fractions

1/4 * (4 - 1/2)

Numbers »

compute a decimal approximation of a specified number of digits

pi to 1000 digits

convert a decimal number to another base

219 to binary

Plotting & Graphics »

plot a function

plot x^3 - 6x^2 + 4x + 12

plot a region satisfying multiple inequalities

plot x^2+y^2<1 and y>x

Algebra »

solve an equation

x^3 - 4x^2 + 6x - 24 = 0

factor a polynomial

factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48

compute eigenvalues and eigenvectors of a matrix

eigenvalues {{4,1},{2,-1}}

Calculus & Analysis »

calculate a derivative

derivative of x^4 sin x

compute an integral

integrate sin x dx from x=0 to pi

solve an ordinary differential equation

y'' + y = 0

Geometry »

compute properties of a geometric figure

annulus, inner radius=2, outer radius=5

plot a conic section and identify its type

2x^2 - 3xy + 4y^2 + 6x - 3y - 4 = 0

compute properties of a polyhedron

dodecahedron

Number Theory »

compute a prime factorization

factor 70560

solve a Diophantine equation

solve 3x+4y=5 over the integers

Discrete Mathematics »

compute a possible formula and continuation for a sequence

5, 14, 23, 32, 41, ...

analyze a graph specified by adjacency rules

1->2, 2->3, 3->1, 3->4, 4->1

solve a recurrence

f(n)=f(n-1)+f(n-2), f(1)=1, f(2)=2

Applied Mathematics »

minimize or maximize a function

maximize x(1-x)e^x

numerically integrate functions that cannot be integrated symbolically

integrate sin(cos x) from x=0 to 1

Logic & Set Theory »

compute a truth table

P && (Q || R)

generate a Venn diagram

(complement S) intersect (A union B)

Mathematical Functions »

do computations with special functions

d/dx Si(x)^2

do computations with number-theoretic functions

phi(110)

find representations for a function

gamma(x) integral representation

Advanced Mathematics »

compute properties of a function of a complex variable (use the variable z)

e^z

do vector analysis computations

div (x^3 y, y^3 z, z^3 x)

compute properties of a knot

8_1 knot

Mathematical Definitions »

find information about a math concept

tangram

get a brief definition

basic definition of prime number

Famous Math Problems »

get information about a mathematical conjecture

Riemann Hypothesis

get historical information about a theorem

Fermat's little theorem

WARNİNG FOR THE STUDENTS   !!!

 Be sure to study the answers the site provides so that you can really understand how the solution was reached. And while this is a fun way to solve problems, you should still continue to solve problems on your own using complete working out methods and not merely rely on this website; chances are, you won't have use of it in your math exams! :)

HOLT ONLİNE GRAPHİNG CALCULATOR

graphing calculator

If you are plotting trigonometric functions note that you can choose degrees or radians.
This is a useful tool for studying transformations of graphs; for example look at the graphs of sin(x) and sin(2x) on the same diagram.

Enter up to 4 functions, note that you can use the blue keys on the right as well as the keyboard.
Use ^ for powers, eg x^3 for x3.

Press Graph to graph the functions. Use the Settings tab to change the axes.
To find the coordinates of points of intersection of two graphs, use the Intersection tab, select the graphs you want and then choose Find Intersection Point(s).

Below, there is some graphs. you can look them and learn better.

for example;  1st. equation: x^2+sin(x)

                  2nd. equation: sin(x)

                  3rd. equation: cos(x) 

you can see these equation's graphs and their intersection points on the below picture.

and now, you will see the setting. if you look for settings, you can change the x and y axis's coordinates.

I hope this programme has been useful guide for you about how can you use graphing calculator.

good luck :) 

((= MATH İS FUN =)) ...www.mathisfun.com...

Mathematics is difficult but too large degree can be done by the abandonment of total understanding.

In mathematics, you don't understand things. you just get used to them.

Today, ı would like to some information about math is fun website.

Everybody knows that, lots of people avoid mathematics. But mathematics mathematics is more easier thanks to this website www.mathisfun.com

The site aims to cover the full Kindergarten to Year 12 curriculum.

web site's creators offer mathematics in an enjoyable and easy-to-learn manner, because they believe that mathematics is fun.

Site'scontents are quite big. You can learn about what you want about math. İf you want, you can do puzzles   or you can play games. Both educational and entartaining!!
Furthermore, you can find general notes about some subjects.

NAZIM HİKMET'S CULTURAL CENTER

NAZIM HİKMET CULTURE AND ART FOUNDATİON

Nazim certainly wanted his work to be bound to his passionate political beliefs as much as to his life. Indeed all of his works that I have read show the remarkable ability to synthesize the personal and the political seamlessly Nazim's work demonstrates that his political ideology was born of his deep love for the world and humanity on the most intimate and microcosmic level By opening his heart so fully and exposing his joy and sorrow with such brave vulnerability, Nazim encourages us to love those

Nazim certainly wanted his work to be bound to his passionate political beliefs as much as to his life. Indeed all of his works that I have read show the remarkable ability to synthesize the personal and the political seamlessly

Nazim's work demonstrates that his political ideology was born of his deep love for the world and humanity on the most intimate and microcosmic level

By opening his heart so fully and exposing his joy and sorrow with such brave vulnerability, Nazim encourages us to love those naive and idealistic parts of ourselves that we are almost too embarrassed and too careful to allow to exist

Turkey, a place and a people Nazim loved in spite of all he suffered at the hands of government for that love, is also the place where the passion for his works is both the most intense and the most disputed

Solidarity. Upon serious thought, this seems to be the word that best reflects what the Nazim Hikmet Culture and Art Foundation is about

NAZIM HİKMET KÜLTÜR MERKEZİ


 







                           

NAZIM HİKMET'S POPULAR POEMS

Ben Senden Önce Ölmek İsterim

I Want to Die Before You

Ben  senden önce ölmek isterim.  Ben  senden önce ölmek isterim.  Gidenin arkasından gelen  gideni bulacak mı zannediyorsun?  Ben zannetmiyorum bunu.  İyisi mi, beni yaktırırsın,  odanda ocağın üstüne korsun  içinde bir kavanozun.  Kavanoz camdan olsun,  şeffaf, beyaz camdan olsun  ki içinde beni görebilesin...  Fedakârlığımı anlıyorsun :  vazgeçtim toprak olmaktan,  vazgeçtim çiçek olmaktan  senin yanında kalabilmek için.  Ve toz oluyorum  yaşıyorum yanında senin.  Sonra, sen de ölünce  kavanozuma gelirsin.  Ve orda beraber yaşarız  külümün içinde külün,  ta ki bir savruk gelin  yahut vefasız bir torun  bizi ordan atana kadar...  Ama biz  o zamana kadar  o kadar  karışacağız  ki birbirimize,  atıldığımız çöplükte bile zerrelerimiz  yan yana düşecek.  Toprağa beraber dalacağız.  Ve bir gün yabani bir çiçek  bu toprak parçasından nemlenip filizlenirse  sapında muhakkak  iki çiçek açacak :  biri sen  biri de ben.  Ben  daha ölümü düşünmüyorum.  Ben daha bir çocuk doğuracağım.  Hayat taşıyor içimden.  Kaynıyor kanım.  Yaşayacağım, ama çok, pek çok,  ama sen de beraber.  Ama ölüm de korkutmuyor beni.  Yalnız pek sevimsiz buluyorum  bizim cenaze şeklini.  Ben ölünceye kadar da  bu düzelir herhalde.  Hapisten çıkmak ihtimalin var mı bu günlerde?  İçimden bir şey:  belki diyor.

I  want to die before you.  I  want to die before you.  Do you think that who passes later  will find who's gone before?  I don't think so.  You'd better have me burned,  and put me on the stove in your room  in a jar.  The jar shall be made of glass,  transparent, white glass  so that you can see me inside...  You see my sacrifice:  I renounced from being part of the earth,  I renounced from being a flower  to be able to stay with you.  And I am becoming dust,  to live with you.  Later, when you also die,  you'll come to my jar.  And we'll live there together  your ash in my ash,  until a careless bride  or an unfaithful grandson  throws us out of there...  But we  until that time  will mix  with each other  so much that  even in the garbage we are thrown into  our grains will fall side by side.  We will dive into the soil together.  And one day, if a wild flower  feeds from this piece of soil and blossoms  above its body, definitely  there will be two flowers:  one is you  one is me.  I  don't think of death yet.  I will give birth to a child.  Life is flooding from me.  My blood is boiling.  I will live, but long, very long,  but with you.  Death doesn't scare me either.  But I find our way of funeral  rather unlikable.  Until I die,  I think this will get better.  Is there a hope you'll get out of prison these days?  A voice in me says: maybe.

           
read by Dağhan Külegeç;

Minnacık Kadın

The Miniature Woman

Mavi Gözlü Dev, Minnacık Kadın  Ve Hanımelleri  O mavi gözlü bir devdi.  Minnacık bir kadın sevdi.  Kadının hayali minnacık bir evdi,  bahçesinde ebruliii hanımeli  açan bir ev.  Bir dev gibi seviyordu dev.  Ve elleri öyle büyük işler için hazırlanmıştı ki devin,  yapamazdı yapısını,  çalamazdı kapısını  bahçesinde ebruliiii  hanımeli  açan evin.  O mavi gözlü bir devdi.  Minnacık bir kadın sevdi.  Mini minnacıktı kadın.  Rahata acıktı kadın  yoruldu devin büyük yolunda.  Ve elveda! deyip mavi gözlü deve,  girdi zengin bir cücenin kolunda  bahçesinde ebruliiii  hanımeli  açan eve.  Şimdi anlıyor ki mavi gözlü dev,  dev gibi sevgilere mezar bile olamaz:  bahçesinde ebruliiiii  hanımeli  açan ev..

The Blue-Eyed Giant, the Miniature Woman  and the Honeysuckle  He was a blue-eyed giant,  He loved a miniature woman.  The woman's dream was of a miniature house  with a garden where honeysuckle grows  in a riot of colours  that sort of house.  The giant loved like a giant,  and his hands were used to such big things  that the giant could not  make the building,  could not knock on the door  of the garden where the honeysuckle grows  in a riot of colours  at that house.  He was a blue-eyed giant,  he loved a miniature woman,  a mini miniature woman.  The woman was hungry for comfort  and tired of the giant's long strides.  And bye bye off she went to the embraces of a rich dwarf with a garden where the honeysuckle grows  in a riot of colours  that sort of house.  Now the blue-eyed giant realizes,  a giant isn't even a graveyard for love:  in the garden where the honeysuckle grows  in a riot of colours  that sort of house...

Ceviz Ağacı

The Walnut Tree

Başım köpük köpük bulut, içim dışım deniz,  ben bir ceviz ağacıyım Gülhane Parkı'nda,  budak budak, şerham şerham ihtiyar bir ceviz.  Ne sen bunun farkındasın, ne polis farkında.  Ben bir ceviz ağacıyım Gülhane Parkı'nda.  Yapraklarım suda balık gibi kıvıl kıvıl.  Yapraklarım ipek mendil gibi tiril tiril,  koparıver, gözlerinin, gülüm, yaşını sil.  Yapraklarım ellerimdir, tam yüz bin elim var.  Yüz bin elle dokunurum sana, İstanbul'a.  Yapraklarım gözlerimdir, şaşarak bakarım.  Yüz bin gözle seyrederim seni, İstanbul'u.  Yüz bin yürek gibi çarpar, çarpar yapraklarım.  Ben bir ceviz ağacıyım Gülhane Parkı'nda.  Ne sen bunun farkındasın, ne polis farkında.

my head foaming clouds, sea inside me and out  I am a walnut tree in Gulhane Park  an old walnut, knot by knot, shred by shred  Neither you are aware of this, nor the police  I am a walnut tree in Gulhane Park  My leaves are nimble, nimble like fish in water  My leaves are sheer, sheer like a silk handkerchief  pick, wipe, my rose, the tear from your eyes  My leaves are my hands, I have one hundred thousand  I touch you with one hundred thousand hands, I touch Istanbul  My leaves are my eyes, I look in amazement  I watch you with one hundred thousand eyes, I watch Istanbul  Like one hundred thousand hearts, beat, beat my leaves  I am a walnut tree in Gulhane Park  neither you are aware of this, nor the police

Cem KARACA;

Yaşamaya Dair

On Living

I  Yaşamak şakaya gelmez,  büyük bir ciddiyetle yaşayacaksın  bir sincap gibi mesela,  yani, yaşamanın dışında ve ötesinde hiçbir şey beklemeden,  yani bütün işin gücün yaşamak olacak.  Yaşamayı ciddiye alacaksın,  yani o derecede, öylesine ki,  mesela, kolların bağlı arkadan, sırtın duvarda,  yahut kocaman gözlüklerin,  beyaz gömleğinle bir laboratuvarda  insanlar için ölebileceksin,  hem de yüzünü bile görmediğin insanlar için,  hem de hiç kimse seni buna zorlamamışken,  hem de en güzel en gerçek şeyin  yaşamak olduğunu bildiğin halde.  Yani, öylesine ciddiye alacaksın ki yaşamayı,  yetmişinde bile, mesela, zeytin dikeceksin,  hem de öyle çocuklara falan kalır diye değil,  ölmekten korktuğun halde ölüme inanmadığın için,  yaşamak yani ağır bastığından.  II  Diyelim ki, ağır ameliyatlık hastayız,  yani, beyaz masadan  bir daha kalkmamak ihtimali de var.  Duymamak mümkün değilse de biraz erken gitmenin kederini  biz yine de güleceğiz anlatılan Bektaşi fıkrasına,  hava yağmurlu mu, diye bakacağız pencereden,  yahut da sabırsızlıkla bekleyeceğiz  en son ajans haberlerini.  Diyelim ki, dövüşülmeye değer bir şeyler için,  diyelim ki, cephedeyiz.  Daha orda ilk hücumda, daha o gün  yüzükoyun kapaklanıp ölmek de mümkün.  Tuhaf bir hınçla bileceğiz bunu,  fakat yine de çıldırasıya merak edeceğiz  belki yıllarca sürecek olan savaşın sonunu.  Diyelim ki hapisteyiz,  yaşımız da elliye yakın,  daha da on sekiz sene olsun açılmasına demir kapının.  Yine de dışarıyla birlikte yaşayacağız,  insanları, hayvanları, kavgası ve rüzgarıyla  yani, duvarın ardındaki dışarıyla.  Yani, nasıl ve nerede olursak olalım  hiç ölünmeyecekmiş gibi yaşanacak...  III  Bu dünya soğuyacak,  yıldızların arasında bir yıldız,  hem de en ufacıklarından,  mavi kadifede bir yaldız zerresi yani,  yani bu koskocaman dünyamız.  Bu dünya soğuyacak günün birinde,  hatta bir buz yığını  yahut ölü bir bulut gibi de değil,  boş bir ceviz gibi yuvarlanacak  zifiri karanlıkta uçsuz bucaksız.  Şimdiden çekilecek acısı bunun,  duyulacak mahzunluğu şimdiden.  Böylesine sevilecek bu dünya  "Yaşadım" diyebilmen için...

I  Living is no joke,  you must live with great seriousness  like a squirrel for example,  I mean expecting nothing except and beyond living,  I mean living must be your whole occupation.  You must take living seriously,  I mean to such an extent that,  for example your arms are tied from your back, your back is on the wall,  or in a laboratory with your white shirt, with your huge eye glasses,  you must be able to die for people,  even for people you have never seen,  although nobody forced you to do this,  although you know that  living is the most real, most beautiful thing.  I mean you must take living so seriously that,  even when you are seventy, you must plant olive trees,  not because you think they will be left to your children,  because you don't believe in death although you are afraid of it  because, I mean, life weighs heavier.  II  Suppose we're very sick, in need of surgery,  I mean, there is the possibility that  we will never get up from the white table.  although it is impossible not to feel the grief of passing away somewhat too soon  we will still laugh at the funny joke being told,  we will look out of the window to see if it's raining,  or we will wait impatiently  for the latest news from agencies.  Suppose, for something worth fighting for,  suppose we are on the battlefield.  Over there, in the first attack, on the first day  we may fall on the ground on our face.  We will know this with a somewhat strange grudge,  but we will still wonder like crazy  the result of the war that will possibly last for years.  Suppose we are in the jail,  age is close to fifty,  supose there are still eighteen years until the iron door will open.  Still, we will live with the outer world,  with the people, animals, fights and winds  I mean, with the outer world beyond the walls.  I mean, however and wherever we are  we must live as if there is no death...  III  This earth will cool down,  a star among all the stars,  one of the tiniest,  I mean a grain of glitter in the blue velvet,  I mean this huge world of ours.  This earth will cool down one day,  not even like a pile of ice  or like a dead cloud,  it will roll like an empty walnut  in the pure endless darkness.  You must feel the pain of this now,  You must feel the grief right now.  You must love this world so much  to be able to say "I lived"...