Notation for “congruent to a member of”Is there a compact notation for indicating the reasons for an implication?Notation for modulo: congruence relation vs operatorHow many solutions to $x^2-x+5equiv 0pmodp^2$Why is modular inverse notation so ambiguous?Conjecture about primes and the factorial: for all primes $p>5$, must there exist a prime $q<p$ such that $qequiv m!pmod p$ for some $2<m<p$?Can someone explain this notation for meNotation for any member of a setNotation for moduloNotation for transpose of a matrix rowPrimes congruent to $k pmod p$ between $p$ and $p^2$?
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Notation for “congruent to a member of”
Is there a compact notation for indicating the reasons for an implication?Notation for modulo: congruence relation vs operatorHow many solutions to $x^2-x+5equiv 0pmodp^2$Why is modular inverse notation so ambiguous?Conjecture about primes and the factorial: for all primes $p>5$, must there exist a prime $q<p$ such that $qequiv m!pmod p$ for some $2<m<p$?Can someone explain this notation for meNotation for any member of a setNotation for moduloNotation for transpose of a matrix rowPrimes congruent to $k pmod p$ between $p$ and $p^2$?
$begingroup$
Is it acceptable to write $xin Spmod m$ to denote "$x$ is congruent to a member of $S$ modulo $m$"? Are there any established alternatives to this notation?
An example of use: "When $mge 5$ is prime, solutions exist for all $pnotin 0,pm 1 pmod m$".
notation modular-arithmetic
asked Mar 22 at 10:49
stannicstannic
349
$endgroup$
add a comment |
$begingroup$
Is it acceptable to write $xin Spmod m$ to denote "$x$ is congruent to a member of $S$ modulo $m$"? Are there any established alternatives to this notation?
An example of use: "When $mge 5$ is prime, solutions exist for all $pnotin 0,pm 1 pmod m$".
notation modular-arithmetic
asked Mar 22 at 10:49
stannicstannic
349
$endgroup$
add a comment |
$begingroup$
Is it acceptable to write $xin Spmod m$ to denote "$x$ is congruent to a member of $S$ modulo $m$"? Are there any established alternatives to this notation?
An example of use: "When $mge 5$ is prime, solutions exist for all $pnotin 0,pm 1 pmod m$".
notation modular-arithmetic
asked Mar 22 at 10:49
stannicstannic
349
$endgroup$
Is it acceptable to write $xin Spmod m$ to denote "$x$ is congruent to a member of $S$ modulo $m$"? Are there any established alternatives to this notation?
An example of use: "When $mge 5$ is prime, solutions exist for all $pnotin 0,pm 1 pmod m$".
notation modular-arithmetic
notation modular-arithmetic
asked Mar 22 at 10:49
stannicstannic
349
asked Mar 22 at 10:49
stannicstannic
349
asked Mar 22 at 10:49
stannicstannic
349
asked Mar 22 at 10:49
stannicstannic
349
asked Mar 22 at 10:49
stannicstannic
349
349
add a comment |
add a comment |
1 Answer
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$begingroup$
The version below seems clear and standard:
When $mge 5$ is prime, solutions exist for all $pnotequiv 0,pm 1 pmod m$
Also without negation:
When $mge 5$ is prime, solutions exist for all $pequiv 0,pm 1 pmod m$
answered Mar 22 at 11:07
lhflhf
167k11172404
$endgroup$
add a comment |
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1 Answer
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votes
$begingroup$
The version below seems clear and standard:
When $mge 5$ is prime, solutions exist for all $pnotequiv 0,pm 1 pmod m$
Also without negation:
When $mge 5$ is prime, solutions exist for all $pequiv 0,pm 1 pmod m$
answered Mar 22 at 11:07
lhflhf
167k11172404
$endgroup$
add a comment |
$begingroup$
The version below seems clear and standard:
When $mge 5$ is prime, solutions exist for all $pnotequiv 0,pm 1 pmod m$
Also without negation:
When $mge 5$ is prime, solutions exist for all $pequiv 0,pm 1 pmod m$
answered Mar 22 at 11:07
lhflhf
167k11172404
$endgroup$
add a comment |
$begingroup$
The version below seems clear and standard:
When $mge 5$ is prime, solutions exist for all $pnotequiv 0,pm 1 pmod m$
Also without negation:
When $mge 5$ is prime, solutions exist for all $pequiv 0,pm 1 pmod m$
answered Mar 22 at 11:07
lhflhf
167k11172404
$endgroup$
The version below seems clear and standard:
When $mge 5$ is prime, solutions exist for all $pnotequiv 0,pm 1 pmod m$
Also without negation:
When $mge 5$ is prime, solutions exist for all $pequiv 0,pm 1 pmod m$
answered Mar 22 at 11:07
lhflhf
167k11172404
edited Mar 22 at 11:18
answered Mar 22 at 11:07
lhflhf
167k11172404
answered Mar 22 at 11:07
lhflhf
167k11172404
answered Mar 22 at 11:07
lhflhf
167k11172404
167k11172404
add a comment |
add a comment |
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