Definite quadratic form
In mathematics, a definite quadratic form is a quadratic form over some real vector space V that has the same sign (always positive or always negative) for every nonzero vector of V. According to that sign, the quadratic form is called positive-definite or negative-definite. A semidefinite (or semi-definite) quadratic form is defined in much the same way, except that "always positive" and "always negative" are replaced by "always nonnegative" and "always nonpositive", respectively. In other words, it may take on zero values.
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Definite quadratic form
In mathematics, a definite quadratic form is a quadratic form over some real vector space V that has the same sign (always positive or always negative) for every nonzero vector of V. According to that sign, the quadratic form is called positive-definite or negative-definite. A semidefinite (or semi-definite) quadratic form is defined in much the same way, except that "always positive" and "always negative" are replaced by "always nonnegative" and "always nonpositive", respectively. In other words, it may take on zero values.
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Em matemática, uma forma quadr ...... orial sobre um corpo ordenado.
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En matematiko, difinita duline ...... lorojn do ĝi estas nedifinita.
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En matemàtiques, i més particu ...... un concepte anàleg per a les .
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En matemática, una forma bilin ...... cuando el argumento v no es 0.
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In de lineaire algebra, een de ...... ire vormen gegeven kan worden.
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In mathematics, a definite qua ...... r space over an ordered field.
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Określoność formy – właściwość ...... to nazywa się ją nieokreśloną.
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在数学中,确定双线性形式是双线性形式B使得 B(x, x) ...... A是正定的,如果 (x, Ax) > 0对于所有非零向量x。
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数学において実ベクトル空間 V 上で定義された二次形式 Q ...... 定符号性を順序体上のベクトル空間において考えることもできる。
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Em matemática, uma forma quadr ...... ores positivos como negativos.
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En matematiko, difinita duline ...... ) ne estus reela nombro. Tiel:
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En matemàtiques, i més particu ...... un concepte anàleg per a les .
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En matemática, una forma bilin ...... cuando el argumento v no es 0.
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In de lineaire algebra, een de ...... ire vormen gegeven kan worden.
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In mathematics, a definite qua ...... s, it may take on zero values.
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Określoność formy – właściwość ...... to nazywa się ją nieokreśloną.
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在数学中,确定双线性形式是双线性形式B使得 B(x, x) ...... A是正定的,如果 (x, Ax) > 0对于所有非零向量x。
@zh
数学において実ベクトル空間 V 上で定義された二次形式 Q ...... 定符号性を順序体上のベクトル空間において考えることもできる。
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Definietheid
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Definite quadratic form
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Definitheit
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Difinita dulineara funkcio
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Forma bilineal definida
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Forma quadràtica definida
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Forma quadrática definida
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Określoność formy
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定符号二次形式
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确定双线性形式
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