Sfdwhf

What evolutionary advantage do viruses have in host specificity?

Graph with overlapping labels

What would be the rarity of this magic item(s)?

How much mayhem could I cause as a sentient fish?

Can I make estimated tax payments instead of withholding from my paycheck?

Citing paywalled articles accessed via illegal web sharing

Why zero tolerance on nudity in space?

Odd 74HCT1G125 behaviour

What incentives do banks have to gather up loans into pools (backed by Ginnie Mae)and selling them?

What's a good word to describe a public place that looks like it wouldn't be rough?

Play Zip, Zap, Zop

What to look for when criticizing poetry?

How to play electric guitar and bass as a duet

Am I a Rude Number?

Is there any risk in sharing info about technologies and products we use with a supplier?

Use two 8s and two 3s to make the number 24

If I delete my router's history can my ISP still provide it to my parents?

How can I play a serial killer in a party of good PCs?

Move fast ...... Or you will lose

Convert exam marks to overall grade

using 'echo' & 'printf' in bash function calls

Is a new Boolean field better than a null reference when a value can be meaningfully absent?

Can we harness gravitational potential energy?

Absorbing damage with Planeswalker

Using only 1s, make 29 with the minimum number of digits

Making π from 1 2 3 4 5 6 7 8 9Express the number $2015$ using only the digit $2$ twiceHow many consecutive positive integers can you make using exactly four instances of the digit '4'?Make numbers 1 - 32 using the digits 2, 0, 1, 7Most consecutive positive integers using two 1sMake numbers 1-31 with 1,9,7,8Make numbers 1 - 30 using the digits 2, 0, 1, 8Make numbers 93 using the digits 2, 0, 1, 8Make numbers 33-100 using only digits 2,0,1,8Make numbers 1-30 using 2, 0, 1, 9

1

$begingroup$

Operations permitted:

• Standard operations: +, −, ×, ÷


• Negation: −


• Exponentiation of two numbers: x^y


• Square root of a number: √


• Factorial: !


• Concatenation of the original digits: dd

mathematics calculation-puzzle formation-of-numbers

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

1

$begingroup$

Operations permitted:

• Standard operations: +, −, ×, ÷


• Negation: −


• Exponentiation of two numbers: x^y


• Square root of a number: √


• Factorial: !


• Concatenation of the original digits: dd

mathematics calculation-puzzle formation-of-numbers

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

Operations permitted:

• Standard operations: +, −, ×, ÷


• Negation: −


• Exponentiation of two numbers: x^y


• Square root of a number: √


• Factorial: !


• Concatenation of the original digits: dd

mathematics calculation-puzzle formation-of-numbers

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 1 hour ago

Allan CaoAllan Cao

1063

2 Answers
2

active

oldest

votes

4

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 45 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is the minimum I achieved by referencing the Single Digit Representations of Natural Numbers paper. Hopefully 6 is possible.
  $endgroup$
  – Allan Cao
  35 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Do you mean that allowing concatenations should reduce it from 7 to 6? Or are the constraints the same in the paper you cite as in the question above?
  $endgroup$
  – Dr Xorile
  32 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The paper uses different rules.
  $endgroup$
  – Allan Cao
  22 mins ago
  

  
  
  
  

add a comment | 

2

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 55 mins ago

simonzacksimonzack

267110

$endgroup$

add a comment | 

Your Answer

StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "559"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});

Allan Cao is a new contributor. Be nice, and check out our Code of Conduct.

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f80050%2fusing-only-1s-make-29-with-the-minimum-number-of-digits%23new-answer', 'question_page');
}
);

Post as a guest

Name

Email

Required, but never shown

4

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 45 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is the minimum I achieved by referencing the Single Digit Representations of Natural Numbers paper. Hopefully 6 is possible.
  $endgroup$
  – Allan Cao
  35 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Do you mean that allowing concatenations should reduce it from 7 to 6? Or are the constraints the same in the paper you cite as in the question above?
  $endgroup$
  – Dr Xorile
  32 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The paper uses different rules.
  $endgroup$
  – Allan Cao
  22 mins ago
  

  
  
  
  

add a comment | 

4

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 45 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is the minimum I achieved by referencing the Single Digit Representations of Natural Numbers paper. Hopefully 6 is possible.
  $endgroup$
  – Allan Cao
  35 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Do you mean that allowing concatenations should reduce it from 7 to 6? Or are the constraints the same in the paper you cite as in the question above?
  $endgroup$
  – Dr Xorile
  32 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The paper uses different rules.
  $endgroup$
  – Allan Cao
  22 mins ago
  

  
  
  
  

add a comment | 

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 45 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

share|improve this answer

answered 45 mins ago

Dr XorileDr Xorile

12.9k22569

answered 45 mins ago

Dr XorileDr Xorile

12.9k22569

answered 45 mins ago

Dr XorileDr Xorile

12.9k22569

2

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 55 mins ago

simonzacksimonzack

267110

$endgroup$

add a comment | 

2

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 55 mins ago

simonzacksimonzack

267110

$endgroup$

add a comment | 

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 55 mins ago

simonzacksimonzack

267110

$endgroup$

share|improve this answer

edited 47 mins ago

answered 55 mins ago

simonzacksimonzack

267110

answered 55 mins ago

simonzacksimonzack

267110

answered 55 mins ago

simonzacksimonzack

267110