• Using only two 2s and any mathematical symbols, make 5. NO TRICKS

    From HenHanna@HenHanna@dev.null to rec.puzzles,sci.lang,alt.usage.english on Mon May 19 03:19:27 2025
    From Newsgroup: sci.lang

    Using only two 2s and any mathematical symbols, make 5. NO TRICKS

    1= 2/2

    2= ???

    3= ???

    4= 2+2


    9= ???

    10= 2/.2



    Floor, and Ceiling....

    log(22) ree 1.34242268 So Ceiling( Log(22) ) = 2

    ln(22)ree3.091042 So Floor( Ln(22)) = 3
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  • From ilan_no_spew@ilan_no_spew@hotmail.com (IlanMayer) to rec.puzzles,sci.lang,alt.usage.english on Mon May 19 14:04:25 2025
    From Newsgroup: sci.lang

    On Mon, 19 May 2025 3:19:22 +0000, HenHanna wrote:

    Using only two 2s and any mathematical symbols, make 5. NO TRICKS

    1= 2/2

    2= ???

    3= ???

    4= 2+2


    9= ???

    10= 2/.2



    Floor, and Ceiling....

    log(22) ree 1.34242268 So Ceiling( Log(22) ) = 2

    ln(22)ree3.091042 So Floor( Ln(22)) = 3

    SPOILER
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    Ceiling(Sqrt(22)) = 5

    Please reply to ilanlmayer at gmail dot com

    __/\__
    \ /
    __/\\ //\__ Ilan Mayer
    \ /
    /__ __\ Toronto, Canada
    /__ __\
    ||

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  • From guido wugi@wugi@brol.invalid to rec.puzzles,sci.lang,alt.usage.english on Thu May 22 16:56:29 2025
    From Newsgroup: sci.lang

    Op 19/05/2025 om 5:19 schreef HenHanna:
    -aUsing only two 2s and any mathematical symbols, make 5.-a-a-a-a-a NO >>>> TRICKS

    -a1= 2/2

    -a2=-a ???

    2 = SQR(2x2)

    -a3= ???

    3 = 2 + INT(SQR(2))

    -a4= 2+2

    5 = 2 + CEIL(e^INT(SQR(2)))

    6 = (2 + INT(SQR(2)))!

    7 = FLOOR(e^(SQR(2^2)))

    8 = 2^^2-a (= 2^2^2)

    9 = CEIL(e^2 + SQR(2))

    -a9= ???

    -a10=-a 2/.2



    Floor, and Ceiling....

    -a-a-a-a-a-a-a-a log(22) ree 1.34242268-a-a-a-a So-a-a-a-a-a-a Ceiling( Log(22) ) = 2

    -a-a-a-a-a-a-a-a-a-a-a-a-a-a ln(22)ree3.091042-a-a-a So-a-a-a-a-a-a-a-a-a-a Floor( Ln(22)) = 3
    --
    guido wugi

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  • From HenHanna@HenHanna@dev.null to rec.puzzles,sci.lang,alt.usage.english on Thu May 22 17:10:46 2025
    From Newsgroup: sci.lang

    On Thu, 22 May 2025 14:56:29 +0000, guido wugi wrote:

    Op 19/05/2025 om 5:19 schreef HenHanna:
    -aUsing only two 2s and any mathematical symbols, make 5.-a-a-a-a-a NO >>>>> TRICKS

    -a1= 2/2

    -a2=-a ???

    2 = SQR(2x2)

    -a3= ???

    3 = 2 + INT(SQR(2))

    -a4= 2+2

    5 = 2 + CEIL(e^INT(SQR(2)))

    6 = (2 + INT(SQR(2)))!

    7 = FLOOR(e^(SQR(2^2)))

    8 = 2^^2-a (= 2^2^2)


    I don't gt this one. (4^2 and 2^4 are both 16)

    ( THansks fror Playing!!! )


    i love this one: (.2)^(i^2)



    9 = CEIL(e^2 + SQR(2))

    -a9= ???

    -a10=-a 2/.2



    Floor, and Ceiling....

    -a-a-a-a-a-a-a-a log(22) ree 1.34242268-a-a-a-a So-a-a-a-a-a-a Ceiling( Log(22) ) = 2

    -a-a-a-a-a-a-a-a-a-a-a-a-a-a ln(22)ree3.091042-a-a-a So-a-a-a-a-a-a-a-a-a-a Floor( Ln(22)) = 3
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  • From Richard Heathfield@rjh@cpax.org.uk to rec.puzzles,sci.lang,alt.usage.english on Thu May 22 19:11:25 2025
    From Newsgroup: sci.lang

    On 22/05/2025 15:56, guido wugi wrote:
    8 = 2^^2-a (= 2^2^2)

    ITYM 2<<2
    --
    Richard Heathfield
    Email: rjh at cpax dot org dot uk
    "Usenet is a strange place" - dmr 29 July 1999
    Sig line 4 vacant - apply within

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  • From guido wugi@wugi@brol.invalid to rec.puzzles,sci.lang,alt.usage.english on Thu May 22 20:26:30 2025
    From Newsgroup: sci.lang

    Op 22/05/2025 om 19:10 schreef HenHanna:
    On Thu, 22 May 2025 14:56:29 +0000, guido wugi wrote:

    8 = 2^^2-a (= 2^2^2)


    I don't gt this-a-a one.-a-a-a-a-a (4^2 and 2^4-a are both 16)

    I wasn't sure anyway, and rightly so it seems.
    Well, borrowing from the form for 9 we get

    8 = FLOOR(e^2 + SQR(2))

    ( THansks fror-a Playing!!! )


    -a-a-a-a-a-a-a-a-a-a-a-a i love this one:-a-a (.2)^(i^2)

    For 5, yes! I couldn't find a proper form for 1/.2.
    --
    guido wugi
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  • From edwardwill@edwardwill@gmail.com (RunningMuso) to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 10:32:27 2025
    From Newsgroup: sci.lang

    Huh? 2 + 2 + (2/2).

    --
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  • From Richard Heathfield@rjh@cpax.org.uk to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 11:46:37 2025
    From Newsgroup: sci.lang

    On 23/05/2025 11:32, RunningMuso wrote:
    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.
    --
    Richard Heathfield
    Email: rjh at cpax dot org dot uk
    "Usenet is a strange place" - dmr 29 July 1999
    Sig line 4 vacant - apply within

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  • From nospam@nospam@de-ster.demon.nl (J. J. Lodder) to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 13:39:31 2025
    From Newsgroup: sci.lang

    Richard Heathfield <rjh@cpax.org.uk> wrote:

    On 23/05/2025 11:32, RunningMuso wrote:
    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    And by a well-known result due to Dirac
    any number can be written with four 2s

    Jan

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  • From Peter Moylan@peter@pmoylan.org to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 21:51:18 2025
    From Newsgroup: sci.lang

    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.
    --
    Peter Moylan peter@pmoylan.org http://www.pmoylan.org
    Newcastle, NSW
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  • From occam@occam@nowhere.nix to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 14:11:18 2025
    From Newsgroup: sci.lang

    On 23/05/2025 13:39, J. J. Lodder wrote:


    And by a well-known result due to Dirac
    any number can be written with four 2s


    Any number, including transcendentals? Please ask Dirac to express "pi"
    with four 2s for me.
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  • From occam@occam@nowhere.nix to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 14:13:21 2025
    From Newsgroup: sci.lang

    On 23/05/2025 13:51, Peter Moylan wrote:
    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.


    <smile> Did they also tell you were were two clever by half ? That means
    one's very clever.
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  • From Richard Heathfield@rjh@cpax.org.uk to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 13:38:03 2025
    From Newsgroup: sci.lang

    On 23/05/2025 12:51, Peter Moylan wrote:
    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.

    Not necessarily.

    2 - 2 = 0

    log 2 = 1 (or just 2/2 = 1)
    2

    2 & 2 = 2
    ___
    2 + floor(\/2 ) = 3
    ___ ___
    \/ 2 x \/ 2 = 2

    2 + 2 (as you say) = 4

    __________
    \/(.2)^(-2) = 5


    floor(pi * (2&2)) = 6

    ceiling(pi * (2&2)) = 7

    (2&2)^floor(pi) = 8

    floor(pi*pi)/(2&2) = 9

    2/.2 = 10
    --
    Richard Heathfield
    Email: rjh at cpax dot org dot uk
    "Usenet is a strange place" - dmr 29 July 1999
    Sig line 4 vacant - apply within

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  • From nospam@nospam@de-ster.demon.nl (J. J. Lodder) to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 15:21:05 2025
    From Newsgroup: sci.lang

    occam <occam@nowhere.nix> wrote:

    On 23/05/2025 13:39, J. J. Lodder wrote:


    And by a well-known result due to Dirac
    any number can be written with four 2s


    Any number, including transcendentals? Please ask Dirac to express "pi"
    with four 2s for me.

    We were talking integers, as you well know.
    And for your appreciation of English:
    in the context of number tricks,
    'number' means integer,

    Jan
    --
    "Take any number..."
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  • From Carl G.@carlgnews@microprizes.com to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 08:27:09 2025
    From Newsgroup: sci.lang

    On 5/23/2025 4:51 AM, Peter Moylan wrote:
    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.

    (ObPun) Dance school teaches people what tutus are for.
    --
    Carl G.


    --
    This email has been checked for viruses by AVG antivirus software.
    www.avg.com
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  • From lar3ryca@larry@invalid.ca to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 13:34:23 2025
    From Newsgroup: sci.lang

    On 2025-05-23 09:27, Carl G. wrote:
    On 5/23/2025 4:51 AM, Peter Moylan wrote:
    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.

    (ObPun) Dance school teaches people what tutus are for.

    SWMBO and I have a standard quip. If one of us asks the other what the
    score of a game is, One possible answer is "short skirt".
    --
    Life is like an analogy.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From HenHanna@HenHanna@dev.null to rec.puzzles,sci.lang,alt.usage.english on Fri May 23 19:33:51 2025
    From Newsgroup: sci.lang

    2 & 2 = 2

    (Bitwise AND) interesting!


    The bitwise OR operator in Python is represented by the vertical bar
    symbol |

    ___________________

    In Python, the expression (2 and 2) uses the logical and
    operator, not a bitwise or arithmetic operation.

    With and, Python evaluates the first operand (2), which is considered
    True because it is a nonzero value.

    It then evaluates the second operand (2) and returns it, since both
    operands are "truthy."

    Thus, (2 and 2) in Python evaluates to 2.

    __________________________________

    ___________________ Huh! Python returns the last truthy value, just
    like Lisp!



    On Fri, 23 May 2025 12:38:03 +0000, Richard Heathfield wrote:

    On 23/05/2025 12:51, Peter Moylan wrote:
    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.

    Not necessarily.

    2 - 2 = 0

    log 2 = 1 (or just 2/2 = 1)
    2

    2 & 2 = 2
    ___
    2 + floor(\/2 ) = 3
    ___ ___
    \/ 2 x \/ 2 = 2

    2 + 2 (as you say) = 4

    __________
    \/(.2)^(-2) = 5


    floor(pi * (2&2)) = 6

    ceiling(pi * (2&2)) = 7

    (2&2)^floor(pi) = 8

    floor(pi*pi)/(2&2) = 9

    2/.2 = 10
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  • From Tilde@invalide@invalid.invalid to rec.puzzles,sci.lang,alt.usage.english on Sun Jun 15 23:42:26 2025
    From Newsgroup: sci.lang


    HenHanna wrote:


    Was looking this thread ove

    Explain what you mean by "trick"

    Is using something like INT(e) or INT(pi) over
    and over and then tacking on something like 2/2
    or 2 + 2 a trick?
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  • From occam@occam@nowhere.nix to rec.puzzles,sci.lang,alt.usage.english on Mon Jun 16 08:57:28 2025
    From Newsgroup: sci.lang

    On 23/05/2025 21:34, lar3ryca wrote:
    On 2025-05-23 09:27, Carl G. wrote:
    On 5/23/2025 4:51 AM, Peter Moylan wrote:
    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.

    (ObPun) Dance school teaches people what tutus are for.

    SWMBO and I have a standard quip. If one of us asks the other what the
    score of a game is, One possible answer is "short skirt".


    The other possibility is 'a Desmond'. If, in the UK, you asked someone
    what grade their degree was (options: 'first' (first class),
    'two-one'(2:1), two-two' (2:2), 'third'), the discreet answer may be 'a Desmond'. This is a reference to Despond Tutu, who was a South African Anglican bishop and theologian (RIP).
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  • From Kerr-Mudd, John@admin@127.0.0.1 to rec.puzzles,sci.lang,alt.usage.english on Mon Jun 16 09:06:58 2025
    From Newsgroup: sci.lang

    On Sun, 15 Jun 2025 23:42:26 -0600
    Tilde <invalide@invalid.invalid> wrote:


    HenHanna wrote:


    Was looking this thread ove

    Explain what you mean by "trick"

    Is using something like INT(e) or INT(pi) over
    and over and then tacking on something like 2/2
    or 2 + 2 a trick?

    The trick is xposting into aue where the Hen's cluckings are not relvant
    or wanted, IMO. But luckily you snipped it anyway.

    fu to rec.puzzles only
    --
    Bah, and indeed Humbug.
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  • From Kerr-Mudd, John@admin@127.0.0.1 to rec.puzzles,sci.lang,alt.usage.english on Mon Jun 16 09:08:27 2025
    From Newsgroup: sci.lang

    On Mon, 16 Jun 2025 08:57:28 +0200
    occam <occam@nowhere.nix> wrote:

    On 23/05/2025 21:34, lar3ryca wrote:
    On 2025-05-23 09:27, Carl G. wrote:
    On 5/23/2025 4:51 AM, Peter Moylan wrote:
    On 23/05/25 20:46, Richard Heathfield wrote:
    On 23/05/2025 11:32, RunningMuso wrote:

    Huh? 2 + 2 + (2/2).

    See Subject header: "Using only two 2s"

    2 + 2 + (2/2) uses four twos.

    Yes, but they taught me at school that two twos are four.

    (ObPun) Dance school teaches people what tutus are for.

    SWMBO and I have a standard quip. If one of us asks the other what the score of a game is, One possible answer is "short skirt".


    The other possibility is 'a Desmond'. If, in the UK, you asked someone
    what grade their degree was (options: 'first' (first class),
    'two-one'(2:1), two-two' (2:2), 'third'), the discreet answer may be 'a Desmond'. This is a reference to Despond Tutu, who was a South African Anglican bishop and theologian (RIP).

    Beware! Only Slough has proper Desponds, all others are fake.
    --
    Bah, and indeed Humbug.
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  • From bertietaylor@bertietaylor@myyahoo.com (Bertitaylor) to rec.puzzles,sci.lang,alt.usage.english on Mon Jun 16 09:09:23 2025
    From Newsgroup: sci.lang

    Square of (2) + 2^rCo

    Woof

    --
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