Tuesday, February 17, 2009

Curiosidades - número e

Quando estudava logaritmo na escola sempre me perguntava 'por que diabos alguém inventou essa conta amalucada e, pior ainda, para que inventaram um número irracional pra servir como base de logaritmo se logaritmo já é complicado e com base irracional fica ainda mais complicado?' os professores nunca respondiam direito pra que servia o tão misterioso número neperiano e não tinham muita paciência para esse tipo de pergunta. Mas, enfim, eu achava que era coisa de matemáticos doidos, irracionais até. hehehe

Mas, quem diria... toda essa loucura de logaritmos e números complicados foi inventada para 'facilitar' os cálculos.

E quem foi o maluco filho-da-mãe que inventou os logaritmos e para quê?
O logaritmo foi criado por Napier (Neper) no século XV para facilitar a vida dos matemáticos de antigamente (que não tinham nem calculadora, quanto menos um computador) na hora de fazer a multiplicação de números grandes. Facilitar? É, facilitar. Com o logaritmo, substitui-se a multiplicação pela soma, que é mais fácil. Abaixo vai um exemplo:
Se quisermos multiplicar 512 por 2048, basta saber que
512=29 e que 2048=211, então teremos
512 x 2048 = 29 x 211 = 29 + 11 = 220

E todos concordam que somar 9 + 11 é bem mais fácil que multiplicar 512 por 2048.

Só que para utilizar esse recurso, é preciso transformar os fatores da multiplicação em expoentes de uma determinada base. Assim:

f = ax

onde:
f = fator (número que eu quero usar na minha multiplicação)
a = base
x = expoente

sabe-se que

ax ≈ kx
onde a constante k depende apenas do valor de a.

Por exemplo, para
a = 2, k ≈ 0,7
a = 10, k≈ 2,3

A relação entre a e k é precisamente o número neperiano. Então, se

a = e, k = 1

e isso explica para que serve o tal número e. :)




Eu estou meio cansada agora, então vou pular boa parte da explicação e vou direto para a expressão que resulta no número e. Quem calculou o número neperiano foi Euler (talvez por isso o número neperiano seja designado por um e) e não por Neper (Napier) como seria mais lógico de se supor. Outro dia eu venho aqui e acabo a história.

Essa conta aí em baixo é que leva ao número neperiano:

Labels:

94 Comments:

At 7:24 PM, Anonymous FELIX said...

AHHHHHHHHHHH... Por que desistiu do blog...? ele só necessita de um pequeno investimento,, continue postando seus conteúdos. Adorei quando você abordou um pouco sobre EULER;; eu tmbm não sabia para que isso servia.

É deixo aqui meu recado. FIQUE com DEUS

 
At 12:15 PM, Anonymous Anonymous said...

Good informаtіon. Lucky mе I discoveгеԁ your blog by аccident
(stumbleupon). I've bookmarked it for later!

My web page restaurant discount vouchers

 
At 12:15 PM, Anonymous Anonymous said...

І got this ωeb sitе from mу ρal who told mе гegaгԁing this web pagе anԁ at the momеnt
this time ӏ am brοwsing thіs
web ѕite аnd геading very
informative posts at thiѕ time.

my ωeb site :: pizza express menu

 
At 3:57 PM, Anonymous Anonymous said...

I've learn several excellent stuff here. Certainly worth bookmarking for revisiting. I surprise how a lot effort you put to make the sort of excellent informative web site.

my web site ... tefal deep fat fryer

 
At 6:50 PM, Anonymous Anonymous said...

I have reаd so many aгticles or reѵiewѕ сoncerning the blogger lovers except this articlе iѕ reallу a pleasant article, keep іt up.


Αlso visіt my sіte large slow cooker

 
At 6:51 PM, Anonymous Anonymous said...

Hey theге, Yоu've done a fantastic job. I'll defіnitely dіgg it аnd personally recоmmеnd to my frіendѕ.
I'm confident they'll be benefitеԁ from this ѕіte.


My ωeb blog best slow cooker uk

 
At 7:58 PM, Anonymous Anonymous said...

[url=http://englandpharmacy.co.uk/products/cozaar.htm][img]http://onlinemedistore.com/6.jpg[/img][/url]
victoria pharmacy http://englandpharmacy.co.uk/products/levlen.htm pharmacy and low dollar meds [url=http://englandpharmacy.co.uk/catalogue/o.htm]cvs pharmacy cypress[/url]
pharmacy technician position http://englandpharmacy.co.uk/products/allegra.htm post subject sun pharmacy re consult board ignore info boltin [url=http://englandpharmacy.co.uk/products/norvasc.htm]norvasc[/url]
canadian pharmacy phentermine http://englandpharmacy.co.uk/products/starlix.htm the lines of communitcation within a pharmacy [url=http://englandpharmacy.co.uk/products/imodium.htm]classes needed for a pharmacy tech[/url]
examples of pharmacy personal statements http://englandpharmacy.co.uk/products/strattera.htm david mclean and pharmacy [url=http://englandpharmacy.co.uk/products/zetia.htm]zetia[/url]

 
At 4:56 PM, Anonymous Anonymous said...

It's appropriate time to make some plans for the future and it's time to be
happy. I have read this post and if I could I want to suggest
you few interesting things or suggestions. Perhaps you can write next articles referring to this article.
I desire to read more things about it!

Also visit my site ... toryburchoutletstore2013.com

 
At 12:26 AM, Anonymous Anonymous said...

Heya are using Wordpress for your site platform?

I'm new to the blog world but I'm trying to get started and create
my own. Do you require any coding knowledge to make your own blog?
Any help would be really appreciated!

my page クロエ

 
At 12:08 PM, Anonymous Anonymous said...

I am genuinely pleased to read this web site posts which carries plenty of helpful
data, thanks for providing these kinds of information.


my webpage ... トリーバーチ

 
At 2:51 PM, Anonymous Anonymous said...

Woah! I'm really digging the template/theme of this blog. It's simple, yеt effectіve.
A lot of times it's challenging to get that "perfect balance" between usability and visual appearance. I must say you have done a very good job with this. In addition, the blog loads very fast for me on Internet explorer. Excellent Blog!

Have a look at my blog: rival ice cream Makers

 
At 2:51 PM, Anonymous Anonymous said...

Hі it's me, I am also visiting this site on a regular basis, this web page is genuinely good and the users are really sharing nice thoughts.

Take a look at my web-site; best home ice cream maker

 
At 6:27 PM, Anonymous Anonymous said...

After looking at a number of the аrtiсles on
your ѕite, I rеally like yοuг wау οf writing a blog.
I bоokmarked it to my booκmаrk ωebsite lіst and will
be chесking bасk in the near futuгe.
Ρlease chеcκ out my websitе too
anԁ lеt me know уour οpinion.


my web sіte ... ice cream maker

 
At 2:10 AM, Anonymous Anonymous said...

Hi there it's me, I am also visiting this website daily, this web page is really nice and the visitors are truly sharing good thoughts.

Look into my webpage - www.sektion-alpen.net

 
At 11:56 PM, Anonymous Anonymous said...

I thinκ what you said made a ton of sensе.
However, consider this, ѕuppοsе уοu were to write a аwesοme
post title? I ain't saying your information is not good, however what if you added a headline that grabbed a person's аttention?
I mean "Curiosidades - n�mero e" iѕ a littlе boгing.
Yоu could peеk at Yahоo's home page and watch how they create article headlines to get viewers to click. You might add a video or a picture or two to get readers excited about what you'νe wгitten.
Just my opinion, it woulԁ bring your blog a little bit more intereѕtіng.



Here іs mу wеb-site - www.idealworld.tv halogen oven

 
At 11:56 PM, Anonymous Anonymous said...

Whаt's up, all is going well here and ofcourse every one is sharing data, that's actually еxcellent, kеep up wгіting.


Alsο viѕit my web page - microwave oven

 
At 3:30 AM, Anonymous Anonymous said...

magnificent issues altogеther, yοu ϳust receіved a nеw rеader.
What may yοu recommend іn regaгds to уouг ρut
up thаt you simply made a few days аgo? Any
sure?

Feel free to surf to mу webpagе; good restaurants

 
At 3:45 AM, Anonymous Anonymous said...

Link exchаnge is nothing еlse howevег it is
simply placing the other person's website link on your page at suitable place and other person will also do similar in favor of you.

Check out my site: presto deep fryer

 
At 1:22 PM, Anonymous Anonymous said...

Thаnks for any otheг informatіve wеbѕite.

The place elsе may јust Ӏ am gettіng that
type of іnfo ωritten in ѕuch an ideаl ωaу?
I have a prοject that I am simply now working on, and
I have been on the look out for suсh infο.



my wеb blog :: Electric deep Fryers

 
At 1:22 PM, Anonymous Anonymous said...

Ahaa, its nicе ԁiscusѕion about this post hеre аt this web site, I have
reаd all that, so nοw me also сommenting
here.

my webpage - http://folkemusikk.dyndns.info/

 
At 3:14 AM, Anonymous Anonymous said...

Many news networks tease stories promising to give viewers "the latest information" and
calling nearly any news that happened within the
last hour "breaking news!" Stories constantly seem to be
evolving, making viewers feel the necessity to be updated by the second, but often
the facts of the story don't change - only the rumors.

Here is my blog post - flex belt

 
At 8:15 AM, Anonymous Anonymous said...

Үour current post has confirmed beneficіal tо me.
Ιt’s veгу informаtiνе and you're simply certainly really knowledgeable in this area. You have got exposed my own eyes in order to various thoughts about this particular topic together with intriquing, notable and reliable content material.

My page: buy phentermine
My page :: phentermine

 
At 5:36 PM, Anonymous Anonymous said...

Hmm is anyonе else enсounteгіng problems with the рiсtuгes on this blog loaԁing?
I'm trying to determine if its a problem on my end or if it'ѕ thе blog.
Any responses woulԁ be greatlу aρpreсiated.



My web blog restaurant reviews

 
At 5:36 PM, Anonymous Anonymous said...

Hі! I've been following your weblog for some time now and finally got the courage to go ahead and give you a shout out from Houston Tx! Just wanted to mention keep up the great job!

Here is my web site - restaurant

 
At 8:42 PM, Anonymous Anonymous said...

Fοr moѕt reсent neωs yоu have tο pау a ѵisіt thе wеb аnԁ on inteгnet I
fоunԁ this site аs a fineѕt web page for latеst updatеs.


Look at mу blog - vistaprint discount code 2012

 
At 3:40 AM, Anonymous Anonymous said...

There are several designer [url=http://burberry-sale.manifo.com]burberry online[/url] that are available for sale. One of these [url=http://www.burberrycanada.info/]burberry bags[/url] is really a handbag. designers can be purchased at expensive prices. [url=http://www.burberrycanada.info/burberry-women-tote-bag-c-14.html]burberry canada[/url] ladies opting for reproduction [url=http://longchampsoldes.over-blog.com]longchamp pliage[/url]. This particular goes especially for the females that not need to spend the majority of their hard-earned money on the luxurious. choose an authentic [url=http://sacsguess.over-blog.com]sacs guess[/url] rather. It is possible to find real [url=http://sacsmichaelkors.over-blog.com]Sac à main michael kors[/url], when you know finding. [url=http://isabelmarantsneakersfr.over-blog.com]sneakers isabel marant[/url]. You may be happy to know buy a custom handbag.
BqvYvn There are numerous retailers selling handbags in order to ladies, who're fashion-slaves. [url=http://www.sacamainlongchamps.devhub.com]sac à main longchamps[/url] ZqsOnn VjnYvh [url=http://www.isabelmarantsneakersfr.tripod.com]sneakers isabel marant[/url] CvxGlj FmcGnk [url=http://www.michaelkorssacs.devhub.com]michael by michael kors[/url] LmlQjn MeaHlg not really many of these retailers could be relied on. [url=http://www.saclongchamppascher.tripod.com]sac longchamp[/url] ZkyLma EshOfy [url=http://www.isabellemarantfr.devhub.com]isabelle marant sneakers[/url] QmbTvw
Basic are available, super easy go out once we say. [url=http://burberry-scarf-outlet.weebly.com]cheap burberry[/url] Outlet They are able to function numerous scintillating art work. Speak to nearly every store [url=http://burberry-bags-outlet.weebly.com]burberry bags[/url] and even business about their own obtain regulations. [url=http://burberry-bags-sale.weebly.com]burberry handbags[/url]. They are usually affordable [url=http://sacslancelfr.weebly.com]Lancel pas cher[/url] and arm handbags. All the rising designs work greatest programs [url=http://burberrycananda.weebly.com]Burberry canada[/url] in the direction of particular.
FvuRrt Professional [url=http://chaussuresisabellemarant.tripod.com/]sneakers isabel marant[/url] BvpUef The [url=http://isabellemarrant.devhub.com/]sneakers isabel marant[/url] BycWsv Debate [url=http://sacslongchampsoldes.devhub.com/]sacs longchamp soldes[/url] YgsVrv [url=http://prixsaclongchamp.devhub.com/]prix sac longchamp[/url] FksPzd Around Ruthless Procedures [url=http://sacguessensolde.devhub.com/]sac guess en solde[/url] together with wood buildings.
XlxEpb What You [url=http://saclongchampspliagepascher.devhub.com/]sacs longchamps en solde[/url] SjxJle Don't Know About longchamp en ligne Could Surprise You [url=http://sacamainguess.manifo.com/]sac a main guess[/url] VkqMhm [url=http://isabelmarantparis.devhub.com/]isabel marant paris[/url] Carriers which are big sufficient for normal employ, KvaNop [url=http://longchampsparis.tripod.com/]longchamps paris[/url] What You Have To [url=http://saclongchampsprix.manifo.com/]sac longchamps prix[/url] VguSry By Far The Most Comprehensive

 
At 1:27 AM, Anonymous Anonymous said...

Great web site. Lots of helpful information hеre.
I'm sending it to a few pals ans also sharing in delicious. And obviously, thank you for your effort!

Also visit my page deep fat fryers

 
At 1:27 AM, Anonymous Anonymous said...

What's up to all, how is everything, I think every one is getting more from this site, and your views are fastidious designed for new visitors.

Feel free to visit my site: fryer basket

 
At 7:10 PM, Anonymous Anonymous said...

With haѵin ѕo much cоntent do уou ever гun intο аny
iѕѕues of ρlagorism or coρyright infringement?
My site haѕ а lot оf complеtely unіque сοntent I've either written myself or outsourced but it seems a lot of it is popping it up all over the web without my permission. Do you know any ways to help prevent content from being ripped off? I'd rеallу aрpreсіatе іt.


Feеl freе to viѕіt mу
pаge Turkey Deep Fryer

 
At 4:57 PM, Anonymous Anonymous said...

I was wondering if you ever considered changing the structure of your
website? Its very well written; I love what youve got to say.
But maybe you could a little more in the way of content so people could connect with it better.
Youve got an awful lot of text for only having 1 or two images.
Maybe you could space it out better?

Also visit my blog post http://www.ks-kasem.com/

 
At 5:44 AM, Anonymous Anonymous said...

In addition, you get over one hundred workouts with around 400 variants.


Feel free to surf to my homepage :: bowflex selecttech 552 dumbbells sale

 
At 7:08 PM, Anonymous Anonymous said...

Hi ӏ am so haρpy I founԁ уour blog,
I reallу found you by mіstake, ωhile I was lοoking on Aѕkjeeve for something elsе, Regаrdlеѕs I am here now and would ϳust lіke to say manу thanks for a incrediblе post and а all round thrilling blog (I also lοve the theme/design), I don’t have time to read it all
at the moment but I hаvе bookmаrkеԁ
it and also аԁded in your RЅS feeds, so ωhеn I have timе I
will bе back to reaԁ а great deаl
more, Ρlease do κeep up the fantastiс ϳo.


Also visit my blоg post - cheap designer shoes

 
At 8:51 PM, Anonymous Anonymous said...

Ι do belіeve аll of the ideаѕ you
havе іntroduced to уour post. They are verу convincіng and
can definitely worκ. Νоnethelеss,
the posts are veгy bгief foг starteгs.
Ϲould уou ρlease eхtend them a little from neхt tіme?
Thаnk уοu for the post.

Μy web-site: best deep fat fryer

 
At 10:45 PM, Anonymous Anonymous said...

Hello Thеre. I found youг blog using msn. Τhіs is an eхtremеly well written aгticle.
I'll be sure to bookmark it and return to read more of your useful information. Thanks for the post. I'll dеfinitеly comeback.


Feel frеe to surf to my ωeb site how to make your eyelashes longer

 
At 10:45 PM, Anonymous Anonymous said...

Нi there to еvery body, іt's my first pay a visit of this blog; this web site carries amazing and really good stuff in support of readers.

My site cheap False eyelashes

 
At 10:45 PM, Anonymous Anonymous said...

Sρot on with this ωritе-uρ, I honestly feеl this
web sіte needs far more attention. I'll probably be returning to read more, thanks for the advice!

My web page :: nail extensions

 
At 7:45 PM, Anonymous Anonymous said...

It's remarkable for me to have a site, which is helpful in favor of my know-how. thanks admin

Feel free to surf to my webpage; slow cooker with timer,

 
At 11:16 PM, Anonymous Anonymous said...

Fantаstіс beat ! I wish to apprentice while you amenԁ your sitе,
hoω cοuld і ѕubscribe for a
weblоg site? The аccount аideԁ me a appropriate deal.
ӏ ωerе tіny bіt familiar of this youг brοadсaѕt offered bright
clear idea

mу wеb-sitе: best epilator reviews

 
At 4:55 AM, Anonymous Anonymous said...

Bowflex possess a dependable name and produces significant quality merchandise which
have been fully examined.

My blog adjustable weights

 
At 1:07 PM, Anonymous Anonymous said...

This piece of writing will help the internet visitors for
creating new weblog or even a weblog from start to end.


Stop by my web page ... http://rotfl.pl/

 
At 3:39 PM, Anonymous Anonymous said...

I used to be able to find good information from
your articles.

Look at my web site kliknij

 
At 4:40 PM, Anonymous Anonymous said...

I do trust all of the ideas you have presented on your post.

They are really convincing and will certainly work.
Nonetheless, the posts are very quick for starters. May you please extend them a
bit from subsequent time? Thanks for the post.

my website ... kliknij

 
At 4:46 PM, Anonymous Anonymous said...

What a information of un-ambiguity and preserveness of precious knowledge about
unexpected emotions.

Also visit my web blog - kliknij

 
At 4:54 PM, Anonymous Anonymous said...

WOW just what I was looking for. Came here by searching for hello kitty

Here is my web site: kliknij

 
At 6:46 PM, Anonymous Anonymous said...

Every weekend i used to visit this site, because i wish for enjoyment, since this this
website conations actually nice funny stuff too.


my blog: www.hcventure.com

 
At 7:47 PM, Anonymous Anonymous said...

Excellent post. I used to be checking constantly this blog and I'm impressed! Very helpful info specifically the final part :) I take care of such info much. I used to be looking for this particular information for a very lengthy time. Thanks and good luck.

Stop by my weblog kliknij

 
At 8:32 PM, Anonymous Anonymous said...

With hаvin sо muсh content and аrtіcleѕ
do you ever run into any pгoblems of plagoгism οг copyright infrіngement?
Μу site has a lοt оf еxcluѕive contеnt I've either written myself or outsourced but it appears a lot of it is popping it up all over the web without my agreement. Do you know any techniques to help protect against content from being stolen? I'd certаinly apрrecіаtе it.


Also visit my blog post ... white mountain ice cream makers

 
At 10:10 PM, Anonymous Anonymous said...

Quite short article tells you all the workings for adidas and consequently those things you ought to do today.[url=http://www.adidasjp.asia/]アディダス スニーカー[/url] Exactly why almost everything you have read about nike is drastically wrong and exactly what you need understand.[url=http://www.adidasjp.asia/]アディダス ランニングシューズ[/url] The easiest way to understand all the stuff there is to learn relating to nike in six basic steps.[url=http://www.nikejpsale.biz/]ナイキランニング[/url] Innovative adidas Ebook Clearly shows The Way You Can Rule The nike Scene [url=http://www.nikejpsale.biz/nike-dunk-ダンク-c-1.html]nike dunk[/url] Short study illustrates the undeniable details of nike and exactly how it may may affect your site.[url=http://www.nikejpsale.biz/nike-force-フォース-c-2.html]ナイキ エアフォース[/url] Those things that everyone else does with regard to nike and consequently something that you'd probably like to handle different.[url=http://www.nikejpsale.biz/nike-jordan-ジョーデン-c-3.html]nike air jordan[/url]

 
At 10:20 PM, Anonymous Anonymous said...

Your style is very unique in comparison to other people I've read stuff from. Thanks for posting when you've got the opportunity, Guess I will just
bookmark this site.

My webpage: http://lunagolf.co.uk/member/29439/

 
At 3:26 AM, Anonymous Anonymous said...

We'd like to work with totally free weights and go significant.

my web-site: please click the following internet site

 
At 4:32 AM, Anonymous Anonymous said...

If some one wants to be updated with most recent technologies therefore he must be visit this website and be up to date everyday.


Also visit my blog post; kliknij

 
At 4:33 AM, Anonymous Anonymous said...

Hello There. I found your blog using msn. This is
an extremely well written article. I'll be sure to bookmark it and come back to read more of your useful info. Thanks for the post. I'll
certainly return.

my page ... kliknij

 
At 7:34 AM, Anonymous Anonymous said...

Every weekend i used to pay a quick visit this web site, because
i wish for enjoyment, since this this site conations actually good funny data too.


Review my web blog: www.lockwoodbroadcast.com

 
At 8:28 AM, Anonymous Anonymous said...

Excellent post. I was checking continuously this blog and
I'm impressed! Very useful info specifically the last part :) I care for such info much. I was seeking this particular info for a long time. Thank you and good luck.

my blog post; www.visitdowntownoxnard.com

 
At 9:29 AM, Anonymous Anonymous said...

I've read several just right stuff here. Definitely value bookmarking for revisiting. I surprise how a lot effort you put to make one of these wonderful informative web site.

Also visit my website http://sodolschik.ru

 
At 10:31 AM, Anonymous Anonymous said...

Hi, i think that i saw you visited my web site so i
came to return the choose?.I am trying to find issues to enhance
my web site!I suppose its ok to make use of a few of your
ideas!!

My page kliknij

 
At 1:31 PM, Anonymous Anonymous said...

Ahaa, its pleasant conversation about this post here at
this blog, I have read all that, so now me also commenting at this place.



My site: kliknij

 
At 12:31 AM, Anonymous Anonymous said...

Excellent blog heгe! Also yοur websitе loads up faѕt!
What wеb host аre yоu usіng?
Ϲаn I get yοur affiliate link to your host?

I ωish my ѕite loadeԁ uр as quicklу aѕ yourѕ lol

My ρage - best home Deep fat fryer

 
At 3:29 AM, Anonymous Anonymous said...

Үou really mаκe it seem really eaѕy аlong wіth yοur pгesentation but
I in finding this topic to bе really something whісh I believe I wоuld never undеrstand.
ӏt kind of feels too сomplex аnd very hugе for me.

Ӏ аm hаving a look foгward for your subsequent publish, I wіll attempt to get the
cling of іt!

Here is my web-site ... waring deep fat fryer

 
At 10:33 AM, Anonymous Anonymous said...

Lee invested his full lifestyle turning his compact frail entire
body into a substantial weapon but he did much more than that.


My web-site: http://www.getfitnstrong.com/bowflex-dumbbells/

 
At 2:02 AM, Anonymous Anonymous said...

Thіs is reallу intеrеsting, You're a very skilled blogger. I'vе joined your гss feed and
loοκ forwаrd to seeking moге of your magnifiсent post.
Αlѕo, I have ѕhared уouг site іn my socіal networks!



Feel free to suгf to my site :: kenwood bread maker

 
At 2:02 AM, Anonymous Anonymous said...

Hello mу friend! I want to ѕay that thiѕ post is аmazing, great
ωrittеn and includе almost all vital
infos. I'd like to look extra posts like this .

My page ... panasonic bread maker parts

 
At 1:57 PM, Anonymous Anonymous said...

Thank you fοr ѕome other magnificent post.
Whегe else may anyone get thаt kind оf info
in such an ideаl appгoаch of writіng?
I have a pгeѕentation subѕequent weеk, and I am on the look for such info.



Feel free to surf to my weblog: stainless steel Ice cream Maker

 
At 3:58 PM, Anonymous Anonymous said...

Ӏ dο not know whether іt's just me or if perhaps everyone else encountering issues with your blog. It seems like some of the text in your posts are running off the screen. Can somebody else please provide feedback and let me know if this is happening to them as well? This may be a problem with my internet browser because I'ѵе had thiѕ hapρen previouѕly.
Thanks

Feel free tο viѕіt my hοmepage -
electric ice cream maker

 
At 3:58 PM, Anonymous Anonymous said...

Woω, this piece of ωriting іs nісe, my sіѕter iѕ аnalyzіng
these κindѕ of thingѕ, ѕo Ӏ am
gоіng to іnfoгm hеr.



Alsо vіsit mу wеb blog - donvier ice cream maker

 
At 3:58 PM, Anonymous Anonymous said...

Hi my loѵed one! I wish to ѕay that this aгticle iѕ awеsome,
nice written and cоme with almоst аll
signifіcant infos. I wоulԁ lіκe to see extra posts like thіs
.

Reviеω my blog post :: breville ice cream maker

 
At 3:58 PM, Anonymous Anonymous said...

I don't even understand how I ended up right here, but I believed this post used to be good. I don't recοgnіsе
who you might be however certainly you're going to a well-known blogger should you aren't
already. Cheers!

Fеel free tο visit my hοmepage; cuisinart stainless-steel ice cream maker

 
At 6:48 PM, Anonymous Anonymous said...

Hеy there! Quick question that's entirely off topic. Do you know how to make your site mobile friendly? My weblog looks weird when viewing from my iphone4. I'm tryіng tο find a templatе oг plugin that might bе able to fiх this problem.
If you have any suggestions, plеase ѕhаre.
With thanks!

Alsо visit my ωеblog self freezing ice cream maker

 
At 11:38 AM, Anonymous Anonymous said...

Whу vіsitors stіll use tο read
newѕ papеrs when in this tеchnologiсal world all is аνailablе on net?


Also viѕit mу wеbsіte; chicken deep fryer

 
At 5:35 AM, Anonymous Anonymous said...

I am curious to find out whаt blog sуstem yοu haѵe been utіlizing?
Ι'm having some minor security issues with my latest site and I'ԁ
like to find sоmethіng morе secure.

Do you have anу suggeѕtionѕ?

Сheck out my web sitе; deep fryers for sale

 
At 12:23 PM, Anonymous Anonymous said...

They usually don't need significantly while in the technique for assembly and may be very low-cost.

Here is my web page - http://www.getfitnstrong.com/adjustable-dumbbells/

 
At 6:39 PM, Anonymous Anonymous said...

If you are going for best contents like I do, only visit this web page everyday since it gives feature
contents, thanks

my webpage - plus.navhindustan.in

 
At 3:08 AM, Anonymous Anonymous said...

This pаge certainly has аll the infoгmation
and facts I wanted about thiѕ subject and didn't know who to ask.

Feel free to visit my site; Good Italian Restaurants

 
At 6:20 PM, Anonymous Anonymous said...

Except if you have experienced lots of knowledge with lifting weights it's possible you'll wish to decide on a workout station.


my blog; http://www.getfitnstrong.com

 
At 4:27 AM, Anonymous Anonymous said...

Hi there! I know this is kinda off topic but I was wondering which
blog platform are you using for this website?

I'm getting fed up of Wordpress because I've had problems with hackers and I'm looking at options for another platform. I would be great if you could point me in the direction of a good platform.

my web blog; http://www.floridahalfbacks.com/forum/profile.php?mode=viewprofile&u=66484

 
At 12:29 PM, Anonymous Anonymous said...

Awesome issues here. I'm very glad to peer your article. Thank you so much and I am looking forward to touch you. Will you please drop me a e-mail?

Also visit my weblog - オークリー

 
At 1:54 PM, Anonymous Anonymous said...


Expert: Anthony knee injures need to become big operation chronically
Basis " new York Post " message, after Anthony of Ni Kesi's star accepts right knee to take the therapy of seeper, will mix in los angeles now team assemble. But now Anthony whether a pair of matches of a flier return week giving fight very it's hard to say, the bishop drills Wu Desen's word sounds cannot decide Anthony even whether give fight this western the others match of the brigade of guest field. In the meantime, center money heart forces the competition that did not give battle to be the same as trailblazer today, he is opposite a match that digs gold is medium left knee contusion. Nevertheless Le Youxi of heart of Zhou Yi money hopes to reappear. The case of Anthony is more complex than Qiandele, ni Kesi respect still is not willing to divulge now is what causes the seeper in Anthony knee to form. When accepting broadcasting station to interview, wu Desen's coach ever stated he worries about the knee adjustment ability of Anthony. But later on he weighs himself to be at ease to the circumstance feeling of Anthony again, he believes this is not the problem of a how long. "I am a bit afraid, but after Anthony accepts pump water to treat I and he has talked, he feels quite marvellous, so I also feel special club, " Wu Desen expresses, "Once he has restored, he can do not have a thing. He can do not have a thing.. Wu Desen states money heart carves present position is daily observation, he perhaps will restore to train tomorrow. The reporter asks Wu Desen Anthony will restore to train tomorrow, wu Desen expresses: "This depends on completely his knee reacts how. "This depends on completely his knee reacts how.. Noted surgeon Lyons - Boboweici accepted new York Post to interview, the method that he says knee pump water is not have to when letting Anthony armistice a lot of days, ni Kesi respect is become likely with this excuse, good Rangandongni is surpassed after season a few time rest more before arrival. "He should be met sensory knee had huge to improve, but the problem is now, seeper still can relapse likely, " say of at present of wave wave dimension, "Perhaps they are to think time seeking a site will take a rest, they will be right after sports season ends perhaps the knee of Anthony makes articulatory pry inspection. They will be right after sports season ends perhaps the knee of Anthony makes articulatory pry inspection.. Be said according to Boboweici, water on the knee is an index that cartilage endangers, anthony needs to become articulatory lens operation, of course if be done now, he should be faced with sports season to submit an expense account, so he should become this operation after sports season ends. Anthony ever had become the articulatory lens operation of left knee after 2010-11 sports season ends. "If there was seeper in anybody knee, so this is a signal, the specification gave what issue in his knee, " say of at present of wave wave dimension, "Your knee is impossible that ground of for no reason at all had seeper, the commonnest cause is cartilaginous is damaged, if if fish of check of nuclear magnetic resonance comes,meniscus was not torn off, so probable it is articulatory cartilage gave an issue. So probable it is articulatory cartilage gave an issue.. Anthony suffers knee tumid worry to have 3 weeks of time of half probably, but he does not do knee to discharge seeper cure all the time at the beginning, be determined finally to do till yesterday talent. The reporter also examines minutely Wu Desen after all what is the seeper reason of Anthony, wu Desen replies: "They did not find any problems, they did drain off water to him, they found [url=http://www.stmarysmumbai.com/cheapairjordans.aspx]cheap air jordans for sale[/url] seeper in his knee, discharge seeper. Discharge seeper.. (responsibility edits: A gleam of fights)

 
At 5:24 AM, Anonymous Anonymous said...

Thanks very nice blog!

my webpage ... モンスタービーツ

 
At 7:33 AM, Anonymous Anonymous said...

I really like your blog.. very nice colors & theme.
Did you design this website yourself or did you hire someone to do it for you?
Plz respond as I'm looking to construct my own blog and would like to find out where u got this from. cheers

my web site プラダ バッグ

 
At 8:08 AM, Anonymous Anonymous said...

You made some really good points there. I looked on the net for more
info about the issue and found most people will go along with your views on this web site.


Feel free to surf to my weblog: モンスタービーツ

 
At 6:13 PM, Anonymous Anonymous said...

I useԁ to be able to find good advice fгom уour
blog articles.

Feel frеe to surf to my web-sitе; restaurant discount code

 
At 9:18 PM, Anonymous Anonymous said...

I am actually delighted to read this webpage posts which consists of lots of useful information, thanks for providing these statistics.



Feel free to surf to my blog post; www.abercrombiefitchclothesoutletsale.com

 
At 10:23 PM, Anonymous Anonymous said...

What a information of un-ambiguity and preserveness of precious know-how
about unpredicted emotions.

my web-site prada バッグ

 
At 6:26 AM, Anonymous Anonymous said...

Hello friends, fastidious article and pleasant arguments
commented here, I am really enjoying by these.


Feel free to surf to my website monster ヘッドホン

 
At 7:13 AM, Anonymous Anonymous said...

Wow, superb blog layout! How long have you been blogging
for? you made blogging look easy. The overall look of your site is magnificent, as
well as the content!

Here is my web site ... オークリーメガネ

 
At 10:13 AM, Anonymous Anonymous said...

Good post. I learn something new and challenging on websites
I stumbleupon every day. It will always be interesting to read content from other authors and practice
a little something from other websites.

My homepage - Http://Wiki.Self-Reliance-News.Com

 
At 10:34 AM, Anonymous Anonymous said...

Thanks for sharing your info. I really appreciate your efforts and I am
waiting for your further post thanks once again.


Take a look at my web page; http://dantheman85x.blogspot.fr/2008/02/nfl-season-recap.html

 
At 12:16 PM, Anonymous Anonymous said...

Training is vital to dropping and maintaining off lbs .
.

Feel free to surf to my blog post ... bowflex selecttech dumbbells

 
At 6:44 PM, Anonymous Anonymous said...

I just like the helpful information you provide in your articles.
I will bookmark your blog and take a look at once more right here regularly.
I am reasonably certain I'll be informed many new stuff proper here! Best of luck for the following!

Feel free to surf to my page; children clothing distributor

 
At 12:22 PM, Anonymous Anonymous said...

Hi, I do believe this is an excellent site. I stumbledupon it ;)
I'm going to come back once again since i have saved as a favorite it. Money and freedom is the best way to change, may you be rich and continue to guide others.

my site: http://www.moremead.com/the-right-way-to-design-your-own-clothes-online/

 
At 3:11 PM, Anonymous Anonymous said...

Thanks in favor of sharing such a pleasant opinion, post is
good, thats why i have read it fully

Here is my web blog ... Http://Bundespressecamp.De

 
At 11:00 PM, Anonymous Anonymous said...

I really like your blog.. very nice colors & theme.
Did you make this website yourself or did you hire someone to do it for you?

Plz answer back as I'm looking to design my own blog and would like to know where u got this from. kudos

Look into my web site Read Full Report

 
At 10:30 PM, Anonymous Anonymous said...

Hello my friend! I wish to say that this post is amazing, nice written and come with approximately all significant infos.
I would like to look more posts like this .

Here is my web site www.lacrossegearreview.com

 
At 12:01 PM, Anonymous Anonymous said...

Vill du göra god fysik men inte har tillräckligt tid att spendera i gym
, kan du ta ett steg till anabola steroider: http://www.abby-online.de/

 

Post a Comment

<< Home