in matlab, find the array position of an entry closest to some arbitrary value

March 4th, 2006 by Lawrence David

a friend asked:

matlab question: i have an array of data. how do i get matlab to find the position of an entry closest to some arbitrary value?
for instance, i would have
a= [1; 4; 6; 8; 12]
i want to search for 9 and have matlab spit back 4, the entry in a closest to 9.

here’s one way to solve that problem (assuming that variable k=9):

>> [min_difference, array_position] = min(abs(a – k))

wheree array_position is the desired index value.

Posted in Matlab | 241 Comments »

if that was helpful ...

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241 Responses to “in matlab, find the array position of an entry closest to some arbitrary value”

on 01 Feb 2007 at 1:01 pm Cruchon

Something like
[rte,index]=min(abs(X-x0)); where x0 is the target and X is the array you want to search in works. The answer is index.
on 01 Feb 2007 at 1:08 pm Lawrence David

i believe that’s exactly what i wrote above.
on 29 May 2007 at 10:28 am Roman

Thanks guys!
on 20 Jul 2007 at 4:00 pm Hilikus

??? that returns the difference between the closest and the target vale not its INDEX
on 20 Jul 2007 at 4:13 pm lawrence

hilikus:

the second argument returned is the index; the first argument returned is the difference.
on 20 Jul 2007 at 4:21 pm Hilikus

Bah, nevermind, i didnt see the double output
on 15 Sep 2007 at 10:18 am D

>> [trash array_position] = min(abs(a – k))

probably should have a “,” or odd things may happen.

[trash, array_position] = min(abs(a – k))

I wasted a lot of time recently and that simple problem caused it.

D
on 29 Feb 2008 at 2:58 pm jess

I love you for this! *mwah*
on 05 Mar 2008 at 12:44 pm huzzzaa

thanks guys!!!!!!!!! saved me hours developing my own algorithm!
on 28 May 2008 at 12:43 pm Chan

Man, you guys really rock! Thanks a lot, saved me hours. Keep up the good work!!
on 27 Aug 2008 at 12:01 pm marchessoux

Thanks a lot, exacty what I needed, so economy of many time ;=)
Cédric
on 23 Sep 2008 at 11:44 am dave

can you do something similar but for several k’s at a time?
on 04 Dec 2008 at 2:23 am MoneyG

Is there a similar way to get position information out of a matrix.

I tried something like,
[row,col]=min(min(matrix))
but that returns only the final row that the element is in, not its exact location.
on 26 Dec 2008 at 5:50 pm Den Wald vor lauter Bäumen nicht sehen … « wAnNaBe NeRd

[...] to see the wood for the trees”. I guess it is also know to non-German speakers? I just found this very trivial, banal and easy Matlab command line, which makes my equivalent lines look very stupid and [...]
on 17 Feb 2009 at 4:02 am Tom

Nice! Saved me some time!
on 11 Mar 2009 at 5:29 am Sameer

How Matlab search the object or variable name in simulink model.
mean Functionality of Edit->Find…(Ctrl+F).
on 11 May 2009 at 12:03 pm cato

but what if you want to be sure you at the value closest to this value right/left side?

for instance, a cumulative probability vector and you want to find the index for the value that is the first above 0.5?
on 22 Aug 2009 at 2:59 pm efrain

greato!
thanks a lot!
on 27 Aug 2009 at 1:33 pm sharkey

Thanks for post this! You just made my life easier.
on 27 Aug 2009 at 1:35 pm sharkey

apparently, the space this took in my brain was previously occupied by my knowledge of the English language… sorry.

Thanks for posting this. You just made my life easier.
on 21 Nov 2009 at 6:53 pm penguin

you could use something like this for multiple ‘k’s (‘range’ == ‘a’, ‘vector’ is a set of ‘k’s):

function inds = findClosest(range, vector)
% ‘flatten’ everything into row vectors
origshape = size(vector);
sz_r = size(range);
numTargets = sz_r(1) * sz_r(2);
numInputs = origshape(1) * origshape(2);

range = reshape(range, [1, numTargets]);
vector = reshape(vector, [1, numInputs]);

% find the difference between the target values and the actual values
% ‘range’ is replicated across columns,
% ‘vector’ is replicated across rows
diff = repmat(range’, 1, numInputs);
diff = diff – repmat(vector, numTargets, 1);
diff = abs(diff);

[vals, inds] = min(diff);
inds = reshape(inds, origshape);
end
on 09 Mar 2010 at 5:11 am Max

Much better than my routine, which always
gets confused by the extrema of the array.
And faster too, love it.
on 28 May 2010 at 6:53 am Multiple output arguments « Abandon MATLAB

[...] why multiple output arguments in Matlab were a poor design decision. But here is a start. In an unsuccessful attempt to find a code that’s less than O(N*M) in storage for a problem that in a…, I saw that someone on Yahoo! Answers wants to know, Is there a similar way to get position [...]
on 10 Aug 2010 at 3:04 pm Jay Mung

Hey Lawrence. Columbia BME ’04 alum here. I googled for your little trick here and was pleasantly surprised to find your blog. Keep up the good work.

Jay
on 23 Aug 2010 at 11:54 am Alexander

Lawrence, I really enjoy your blog, I have found useful answers to many questions. This one was not the exception. Thanks a lot and keep up the great work.
on 27 Sep 2010 at 4:39 pm davie

This was a fantastic hint. Simple and effective. Saved me hours of trying to bin data for use in a data averaging algorithm. Glad to see being clever is working out for you. Thanks!
on 08 Oct 2010 at 11:06 am Matt

This is a great tip thanks.

I did have one problem with it though, in an unlikely scenario. I was using it in my code when a could be only one value (ie, len(a) = 1) when this is the case MATLAB does not like it when the ‘min’ function is only working on one value and returns an error (??? Index exceeds matrix dimensions.)

I fixed it in my code by placing an ‘if’ statement to check to see that the length of ‘a’ is more than one. Is anybody aware of a simpler method of solving this problem??

thanks,

Matt
on 08 Oct 2010 at 11:56 am Matt

oops, no, ignore my message. I’m an idiot, the problem was, that I errenously had created a variable called ‘min’ in my code previously and matlab was calling that variable instead of the min function.
on 13 Mar 2011 at 1:21 pm gabus

Hi gays,

I’ve had the same problem several times in my research, so I’ve developed a function to get the index “index” associated to the closest value to “value” closest element in “freqVect” .

Hope you gays find it useful!!

———————————
function index = getFreqIndex(freqVect,value)
% Esta funcion busca dentro de un vector con valores no necesariamente igualmente espaciados
% y devuelve el indice mas cercano del vector que corresponde al valor “value”.
% El resultado se da dentro de una banda de precision de la forma [value-df1,value+df2].
% Ojo, el vector no puede tener valores repetidos.

index=-1;
for i=1:length(freqVect)
switch(i)
case 1
df1=0;
df2=abs(freqVect(i)-freqVect(i+1))/2;
case length(freqVect)
df1=abs(freqVect(i)-freqVect(i-1))/2;
df2=0;
otherwise
df1=abs(freqVect(i)-freqVect(i-1))/2;
df2=abs(freqVect(i)-freqVect(i+1))/2;
end

if(freqVect(i)>=value-df1 && freqVect(i)freqVect(length(freqVect))), index=length(freqVect);end
if(value<freqVect(1)), index=1;end
end

end
on 14 Mar 2011 at 1:32 pm Nipun

for finding the exact location of any data in the array (both the row and column)
try this
[I,J] = find(T==max(max(T)))
where T is the array.
on 23 Mar 2011 at 8:37 pm Rabindra Rimal

great8 (°_°)!
thanks a lot!
i had spend more then 10hrs for it.
thank you soo much.
<3 <3
on 25 Jul 2011 at 7:44 pm Kelz

Hi, I have a very large matrix, i have the matrix index (x,y,z) but im intrested in the actual value of this index in the original array. How do I go about this?
on 25 Jul 2011 at 7:45 pm Kelz

Hi, I have a very large matrix, i have the matrix index (x,y,z) but im intrested in the actual value of this index in the original array. How do I go about this? Kelz
on 10 Aug 2011 at 5:32 pm Kostas

Worked brilliant, thanks!
on 03 Sep 2011 at 12:45 pm basu

how to find proximity matrix of binary data?

and how to find angle for bounding boxes of binary image using PCA
on 30 Nov 2011 at 12:03 pm Michele

Hi!
I need to find a value in different Array(n,m).
I try to use something like this:
[n,m]=find(A47==9941005309)
and this works well, so i need a loop that for i=1:47 searchs 9941005309 in A1, A2, Ai…
I tried like this:

[n,m]=find(R,num2str(l)==9941005309)

where R=’A’ but it doesn’t work, where I’m wrong?
Thanks for help me!
on 08 Dec 2011 at 9:14 pm Brian

For multidimensional matrices:

[i,j,k] = closest_match(M,a)
% Find the indices of the value closest to a in matrix M
[~, linear_index] = min(abs(T(:)-val)));
[i,j,k] = ind2sub(size(T),linear_index)
on 08 Dec 2011 at 9:16 pm Brian

Edit to above; I forgot to type “function”

function [i,j,k] = closest_match(M,a)
on 20 Jan 2012 at 8:00 pm Paris

What if I need the closest entry of the array but within limits?

Example to clarify:

I have the array test=[5,6,7,8,9,10] and I want the index of the entry closest to 5 out of the entries that are >=6 (therefore the index of 6 -> 2).

[~,idx]=min(abs(5-test)) returns 1 of course…

At first I though about trying something like

[~,idx]=min(abs(5-test(test>=6)))

but it won’t do since 6 has idx=1 within the test(test>=6) array and therefore the ans is still idx=1.

Any ideas?
on 14 Jun 2012 at 5:59 pm mariam

if i add to images in matlab and the result is a greater than 255 ,or when i subtract two image and the result is smaller than 0
what is the matlab do in this cases i need to now becouse i will implement it in CUDA
on 22 Aug 2012 at 10:39 pm Amin

that is a great tip, thanks
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สรุปผลบอลเมื่อคืนดีเอโก้คอสต้าดาวยิงขาขาดความกรุณาปรานีของราชสีห์ไฮโซเชลซีได้กล่าวลาเพื่อนพ้องร่วมกลุ่มเตรียมการย้ายกลับยี่ห้อหมีแอตเลต่อว่าโกมาดริดและไม่แน่ว่าจะได้กลับมาฝึกฝนตอนปรีซีซั่นกับกลุ่มหรือไม่คอสต้าเป็นดาวซัลโวประจำกลุ่มเชลซีเมื่อฤดูที่แล้วและเจ้าตัวจะเต็มอกเต็มใจเก็บของใช้ย้ายออกจากสัมพันธ์ก็เมื่อได้กลับไปอยู่กับกลุ่มเก่าอย่างแอตเลว่ากล่าวโกมาดริดเพียงแค่นั้นในเวลานี้แอตเลตำหนิติเตียนโกมาดริดกำลังติดโทษแบนโดยสมาคมสหพันธ์ฟุตบอลระหว่างชาติห้ามสมัครสมาชิกผู้เล่นใหม่ซึ่งมีผลยาวไปจวบจนกระทั่งมกราคมแม้ว่าพวกเขาจะกำลังขยันหมั่นเพียรดำเนินงานอย่างยิ่งตามการรายงานข่าวจากเดลีเทเลกราฟสื่อเป็นที่รู้จักดินแดนผู้ดีบอกว่าดาวเตะวัย28ปีได้ติดต่อกับเพื่อนพ้องร่วมกลุ่มเชลซีคนไม่ใช่น้อยแล้วหลังจากนั้นก็แจ้งว่าจะกลับไปสังกัดเดิมเก่าซึ่งยังคลุมเคลือว่าจะได้กลับมารายงานตัวตอนปรีซีซั่นกับกลุ่มในวันจันทร์ไหมอย่างไรก็แล้วแต่ยอดกรุ๊ปที่กรุงลอนดอนจะยอมไม่ให้เขากลับมาฝึกร่วมกับกรุ๊ปก็เมื่อการย้ายไปร่วมกลุ่มแอตเลว่ากล่าวโกมาดริดสามารถตกลงกันได้แล้วเท่านั้นเช็คโปรแกรมบอลวันนี้ สรุปผลบอลเมื่อคืนนี้อนาคตผลบอลสดของแดเนี่ยลสเตอร์ริดจ์ดาวยิงหมอลำซิ่งแขวนอยู่บนเส้นด้ายข้างหลังมีรายงานว่าลิเวอร์พูลเตรียมพร้อมถอยหอกป้ายแดงอังเคลคอร์เรอาจากแอตเลตำหนิติเตียนหรูหรามาดริดร่างสัญญาล่วงหน้า5ปีตามรายงานจากฟุตแมร์ค้างโต้สำนักข่าวเลื่องลืออ้างถึงว่าดาวยิงอาร์เจนไตน์กลายเป็นจุดมุ่งหมายปองของเยอร์เก้นคล็อปป์ที่ปรึกษาจอมเฮี้ยบค่ายหงส์แดงข้างหลังส่งแมวมองไปซุ่มดูฟอร์มมาบ่อยมากกระทั่งชอบใจในฝีเท้าขณะนี้คอร์เรอายังเหลือภาระหน้าที่ในถิ่นบิเซนเต้กัลเดร่อนอีก2ปีแม้กระนั้นแสดงทีท่าไม่ต่อสัญญาฉบับใหม่ทำให้แบรนด์หมีเป็นไปไม่ได้เลือกเตรียมตอบรับข้อเสนอจากยอดกลุ่มที่เมอร์ซี่ไซด์รับเซ้งในราคา25ล้านปอนด์ขณะเดียวกันดิเอหรูหราสิเมโอเน่ที่ปรึกษาแอต.มาดริดไม่คคิดกัดกันก็เลยยอมอนุญาตลิเวอร์พูลคุยผ่านเอเยนต์ข้างกายดาวยิงวัย22ปีด้วยข้อแนะนำกติกา5ปีรับค่าจ้าง55000ปอนด์ต่ออาทิตย์ไปจนตราบเท่าปี2022แม้กระนั้นการย้ายของคอร์เรอาบางทีอาจส่งผลกระทบต่ออนาคตของสเตอร์ริดจ์เพราะไม่เหลือช่องว่างในดินแดนหน้าบางหนบางทีอาจถึงกับขนาดโยกย้ายข้างหลังมีทั้งยังโมฮาเหม็ดซาล่าห์และก็โดมินิคโซลันเก้น่าจะจองตัวจริงอัตโนมัติในซีซั่นใหม่เช็คโปรแกรมบอลวันนี้ สรุปผลบอลเมื่อคืนยาย่าตูเร่กองกลางที่พึ่งพิงต่อสัญญาใหม่กับแมนเชสเตอร์ซิตี้ให้สัมภาษณ์ว่าตัวเป๊ปกวาร์ดิโอล่าก็ไม่ได้พึงใจกับตัวเองด้านหลังผลงานในปีแรกของเขากับชมรมกวาร์ดิโอล่าพาแมนฯสิตี้จบเป็นชั้นสามในพรีเมียร์ลีกถึงแม้ก็ไม่มีแชมป์ติดมือเป็นหนแรกในทางการควบคุมกลุ่มของเขาหลังจากแมนฯซิตี้ไปไม่ถึงฝันทั้งยังในแชมเปี้ยนส์ลีกเอฟเอคัพและอีเอฟแอลคัพกวาร์ดิโอล่าก็ไม่ปล่อยให้เสียเวล่ำเวลากับการเสริมความแข็งแกร่งเพื่อไล่หลังกรุ๊ปอย่างเชลซีด้วยการคว้าตัวกางร์นาร์โด้สิลวามาจากโมนาโกในราคา43ล้านปอนด์รวมทั้งคาดว่าพวกเขาจะทุ่มเงินมากกว่านี้อีกกับตลาดค้าขายรอบนี้แล้วตูเร่ก็แน่ใจว่าบ้านผลบอลกวาร์ดิโอล่าจะศึกษามากมายจากฤดูแรกในบอลอังกฤษด้านหลังมีภารกิจพาแชมป์กลับมาสู่ถิ่นเอว่ากล่าวฮัดสเตเดี้ยมอีกทีคุณมองเห็นได้เลยว่าในแววตาของเขาเขาเองก็มิได้แฮปปี้กับตัวเองเลยแม้แต่น้อยยาย่าบอกกับสกายสปอร์ตปีถัดไปแน่นอนเขาจะพากเพียรท้าชิงทุกสิ่งให้ได้มากที่สุดเท่าที่จะเป็นไปได้พวกเรารู้ว่ามันจะเกิดเรื่องทุกข์ยากลำบากแต่ก็จะพยายามเป็นอย่างมากเนื่องจากว่าปีต่อไปน่ะหากคุณไม่ทุ่มเทมากพอแล้วก็คุณมาพร้อมกับความรู้สึกนึกคิดที่ไม่เหมือนกันไปเขารับรู้ได้และก็คุณก็จะพบเจอกับปัญหาใหญ่แน่เรื่องนั้แน่นอนนะกับเขาแล้วไม่มีข้ออ้างใดๆตูเร่กลับมามีฤดูที่ดีสำหรับการร่วมงานกับกวาร์ดิโอล่าภายหลังตอนต้นเหมาะสมขอความเห็นชาวประเทศสเปนดร็อปไปเนื่องจากดิไม่ทรีเซลุคเอเยนต์ของตูเร่ไปทำให้เกิดปัญหาเข้าแล้วภายหลังจากจบฤดูแข้งวัย34ปีก็ได้ทำการต่อสัญญาใหม่เพิ่มไปอีกปีนึงและตัวตูเร่ก็รับว่าทั้งสองคนได้ทิ้งความไม่ลงรอยกันพวกนั้นไว้เบื้องหลังหมดแล้วสิ่งที่เกิดขึ้นมันเกิดขึ้นในปีที่ล่วงเลยไปผมไม่เก็บมาคิดจริงจังหรอกด้วยเหตุว่าสำหรับผมแล้วมันแปลงเป็นยุคเก่ามันเป็นเหตุการณ์ที่ยากเลยล่ะแม้กระนั้นผมชอบใจที่ได้ดำเนินการรวมทั้งบางครั้งคุณก็พิสูจน์ให้คนเห็นได้ว่าพวกเขาควรจะสบโอกาสเสริมเติมบอกตามจริงนะผู้จัดการกรุ๊ปยินดีล้นหลามกับหัวข้อนั้นสิ่งที่เกิดขึ้นไปแล้วมันก็ผ่านไปในช่วงเวลานี้พวกเราเพียงจำเป็นต้องมองไปข้างหน้ารวมทั้งมานะบากบั่นคว้าสิ่งจำเป็นให้กับสหพันธรัฐนี้ผมรู้จักเขามานานพวกเรารู้จักกันมาขณะอยู่กับบาร์เซโลน่าเขาซื่อสัตย์กับผมอยู่เป็นประจำแล้วก็เขาบอกกับคุณถึงสิ่งที่เขาต้องการจากตัวคุณเช็คโปรแกรมบอลวันนี้ สรุปผลบอลเมื่อคืนนี้เวสต์บรอมวิชอัลเบี้ยนกระกระโจนร่วมลงล่าลายเซ็นของคีแรนกิ๊บบ์สแบ็คซ้ายอาร์เซน่อลที่ตระเตรียมล่ำลาชมรมในซัมเมอร์นี้ดาวเตะวัย27ปีก่อนเป็นข่าวสารว่าบางทีอาจตกลงใจเก็บของออกจาเอมิเรสต์สเตเดี้ยมซึ่งทำให้เขาได้รับความชอบใจจากหลายทีมนอกเหนือจากไบรท์ตันรวมถึงนิวค้างfootballสเซิ่ลยูไนเต็ดที่กำลังจับตาเหตุการณ์อย่างใกล้ชิดแล้วมวยโลกก็อยากได้เขาไปร่วมกองทัพด้วยเหมือนกันกิ๊บบ์สเหลือข้อตกลงอีกเพียงแต่ปีเดียวเพียงแค่นั้นโดยเขาเสียตำแหน่งตัวจริงให้ท้องนาโช่มอนเรอัลในตอนก่อนหน้าที่ผ่านมาแถมปืนใหญ่ยังเตรียมการเซ็นเซอัดวัวลาสินัชมาจากชาลเก้แบบไม่มีคุณค่าตัวอีกต่างหากกิ๊กบส์ประเดิมสนามในพรีเมียร์ลีกกับอาร์เซน่อลมาตั้งแต่ปี2008กลับได้เล่นเพียงแต่10นัดในลีกซีซั่นก่อนหน้านี้ที่ผ่านมาเช็คโปรแกรมบอลวันนี้ สรุปผลบอลเมื่อคืนนี้คนฝึกชายสมชายมากไม่น้อยเลยทีเดียวมูลออกมาปฏิเสธข่าวเข้ามารับงานสต๊าฟผู้ฝึกสอนอาร์มี่ยูไนเต็ดเห็นด้วยเคยได้รับการโน้มน้าวจากมูริญตุ้มรังสิวุฒิชโลปถัมภ์ให้มาดำเนินงานด้วยเพราะสนิทกันแม้กระนั้นไม่ตกลงด้วยด้วยเหตุว่าอยากได้คุมกลุ่มเป็นเฮดผู้ฝึกสุดกำลังมากกว่าเป็นเพียงสต๊าฟเท่านั้นภายหลังที่มูริญตุ้มรังสิวุฒิชโลปถัมภ์ที่ปรึกษาอาร์มี่ยูไนเต็ดจัดเตรียมปลดคณะทำงานสต๊าฟผู้ฝึกอย่างผู้ฝึกสอนอาเจียนวเกลื่อนกลาดรณ์วิภาควิจารณ์ณรงค์คนฝึกอู๊ดค้ำชูกันยายนผู้ฝึกสอนปื๊ดชาตรีแขนบัณฑิตย์ออกมาจากกรุ๊ปด้วยเหตุว่าทัศนคติการทำงานไปร่วมกันมิได้ตอนนี้มีข้อมูลว่าได้ดึงผู้ฝึกชายสมชายจำนวนมากมูลยุคเก่าเฮดผู้ฝึกจังหวัดสุโขทัยเอฟซีซึ่งปัจจุบันนี้กำลังว่างงานอยู่มาดำเนินงานด้วยแต่ได้ตอบไม่ยอมรับว่าไม่เป็นความจริงผมก็พึ่งรู้ข่าวว่าผมได้เข้าไปดำเนินการเป็นสต๊าฟครูฝึกอาร์มี่ฯจากบางสื่อซึ่งก็ต้องขอรับรองเลยว่าไม่เป็นความจริงอะไรจริงอยู่ว่าที่ผ่านมาพี่ตุ้มรังสิวุฒิแกเคยเชิญชวนให้ผมไปร่วมงานด้วยเพราะเหตุว่ามีควาสมสนิทสนมกันดีอยู่สุดแต่ว่าผมก็ได้ปฏิเสธไปเพราะเหตุว่าผมคงจะไม่เหมาะสมที่จะเป็นสต๊าฟผู้ฝึกเพราะว่าเคยทำทีมระดับไทยลีกมาและจากนั้นก็เลยตอบไม่รับไปอาจจะเป็นเพราะว่ามีข้อมูลว่าเขาปลดสต๊าฟอาร์มี่ฯผมก็เลยถูกโยงไปพ่วงกับกลุ่มด้วยผู้ฝึกสอนชายกล่าวเช็คโปรแกรมบอลวันนี้ สรุปผลบอลเมื่อคืนแก้ไขเดี๋ยวนี้โดยchirojungเมื่อFriJun0220171213ทั้งมวล4ครั้งอาสแท็บลอยด์ดินแดนวัวกระทิงปูดข้อมูลเชลซีกำลังพยายามทำทุกการขายดิบขายดีเป็นเทน้ำเทท่าเอหรูหราคอสต้าหัวหอกจอมดุร้ายออกมาจากสหพันธรัฐผลบอลสดก่อนปรีซีซั่นเริ่มขึ้นหัวหอกกรุ๊ปชาติประเทศสเปนต้องการกลับไปค้าลำแข้งกับแอตเลต่อว่าโกมาดริดในฤดูกาลหน้าภายหลังอันโตนิโอคอนเต้แจ้งว่าเขาไม่อยู่ในหนทางทำทีมแล้วรายงานเผยออกมาว่าปัจจุบันนี้เชลซีกับแอตเลต่อว่าโกกำลังขยันทำงานอย่างมากเพื่อบรรลุกติกาเรื่องค่าแรงงานของคอสต้าเพื่อทำให้ดีลนี้เสร็จโดยเร็วที่สุดกลุ่มจากสแตมฟอร์ดบริดจ์แสดงความแจ้งชัดว่าอยากขายคอสต้าออกมาจากกรุ๊ปก่อนที่จะบรรดานักฟุตบอลจะกลับมาเข้าแคมป์เก็บเนื้อเก็บตัวช่วงต้นเดือนหน้าพวกเขาอั้นลมหายใจยอมลดค่าตอบแทนของศูนย์หน้าวัย28ปีจาก80ล้านปอนด์ลงมาเหลือ50ล้านปอนด์หากแม้ก็ยังไม่สามารถที่จะตกลงอะไรกันได้ปัญหาอีกอย่างเป็นแบรนด์หมียังไม่อาจจะลงทะเบียนนักฟุตบอลใหม่ได้ตราบจนจะพ้นโทษแบนในเดือนม.ค.2018คาดว่าถึงแม้ไม่สามารถที่จะปิดดีลได้ทันตอนปรีซีซั่นคอสต้าก็จะไม่มีชื่อเดินทางทัวร์ตะวันออกไกลกับสหายร่วมกลุ่มอยู่ดีเช็คโปรแกรมบอลวันนี้ 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La spiruline est donc une micro-algue au contenu nutritionnel exceptionnel qui ne nécessite ni traitement, ni cuisson,
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La phycocyanine est une phycobiliprotéine, association par liaison covalente d’apoprotéines et de pigments de la
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de la photosynthèse dans la spiruline.
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in matlab, find the array position of an entry closest to some arbitrary value

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