factorable การใช้

• Since 40320 is a highly factorable number, it gives many solutions.
• Each factorization of ac as p ?q gives a value p + q for b that results in a factorable quadratic form.
• Is there a general method for substituting a polynomial ( in one variable ) into another so as to get a factorable result?
• If our implementation can realize only factorable transfer functions, our design algorithm must be tailored to design only filters of this class.
• Julius Petersen showed in 1891 that this necessary condition is also sufficient : any 2 " k "-regular graph is 2-factorable.
• Is there a way to solve for x in an un-factorable quadratic equation, such that a non-prime integer z is a factor, without using factorization?
• This implies that the initial condition is factorable as \ chi ( 0 ) = \ rho ( 0 ) R _ 0, where R _ 0 is the density operator of the bath initially.
• Oddly, if it is new, it was discovered to be factorable by one person ( me ) and actually factored by someone else ( User : PrimeHunter ) who knew the quick way to do it.
• Also, because 360 is highly factorable, payment frequencies of semi-annual and quarterly and monthly will be 180, 90, and 30 days of a 360-day year, meaning the payment amount will not change between payment periods.
• In order to apply the factoring which enables the FFT to work, the length of the transform must be factorable to small primes and must be a factor of " N "-1, where " N " is the field size.
• It is entirely possible that, when looking for a given polynomial's roots, we might obtain a messy higher-order polynomial for S ( x ) which is further factorable over the " rationals " even before considering irrational or complex factorings.
• Similarly, the conic section with equation x ^ 2 + y ^ 2 = 0, which has only one real point, is degenerate, as x ^ 2 + y ^ 2 is factorable as ( x + iy ) ( x-iy ) over the complex numbers.
• My doubt is this : The proof contains the statement : " If G has an n _ i-1 factor for each even n _ i, then the graph obtained from G by removing each of these factors is regular of even degree, and hence 2-factorable, and so has n _ i-1 factors for odd n _ i as well ".
• In graph theory, two of Petersen s most famous contributions are : the Petersen graph, exhibited in 1898, served as a counterexample to Tait s  theorem on the 4-colour problem : a bridgeless 3-regular graph is factorable into three 1-factors and the theorem : "  a connected 3-regular graph with at most two leaves contains a 1-factor ".
• Alan Licht, in his third list of minimalist classics, wrote " Unlike a lot of more recent noise underground stuff, which ( to me ) is relatively factorable, this is technically boggling drone music-- the sustain is achieved not just with distortion but through overdubbing, and there's clean guitars in there too-- even on headphones it's hard to tell what the fuck they're really doing.
• The above solution shows that a quartic polynomial with rational coefficients and a zero coefficient on the cubic term is factorable into quadratics with rational coefficients if and only if either the resolvent cubic "'( " " ) "'has a non-zero root which is the square of a rational, or is the square of rational and 0 } }; this can readily be checked using the rational root test.
• Otherwise, we only have a " partial factorization " of " P " ( " x " ) over "'Q "', which may or may not be further factorable over the rationals; but which will certainly be further factorable over the reals or at worst the complex plane . ( Note : by a " complete factorization " of " P " ( " x " ) over "'Q "', we mean a factorization as a product of polynomials with rational coefficients, such that each factor is irreducible over "'Q "', where " irreducible over "'Q "'" means that the factor cannot be written as the product of two non-constant polynomials with rational coefficients and smaller degree .)
• Otherwise, we only have a " partial factorization " of " P " ( " x " ) over "'Q "', which may or may not be further factorable over the rationals; but which will certainly be further factorable over the reals or at worst the complex plane . ( Note : by a " complete factorization " of " P " ( " x " ) over "'Q "', we mean a factorization as a product of polynomials with rational coefficients, such that each factor is irreducible over "'Q "', where " irreducible over "'Q "'" means that the factor cannot be written as the product of two non-constant polynomials with rational coefficients and smaller degree .)