معنی homogeneous به فارسی

Of the same kind; alike, similar.

The population was remarkably homogeneous.

جمعیت به طرز قابل توجهی همگن بود.

متضادها: heterogeneous، inhomogeneous

Having the same composition throughout; of uniform make-up.

The mixture was homogeneous, with all ingredients blending together perfectly.

مخلوط همگن بود و تمام مواد به طور کامل با هم ترکیب شده بودند.

In the same state of matter.

A homogeneous mixture has the same composition throughout.

یک مخلوط همگن در سراسر خود ترکیب یکسانی دارد.

Of a polynomial: such that all its nonzero terms have the same degree.

The polynomial x² + 5xy + y² is homogeneous of degree 2.

چندجمله‌ای x² + 5xy + y² از درجه 2 همگن است.

Of a system of linear equations: such that all constant terms are zero.

A homogeneous system always has the trivial solution.

یک دستگاه همگن همواره جواب بدیهی دارد.

Of a function: such that scaling the inputs by a factor scales the output by that factor raised to a fixed power.

The function f(x,y) = x² + y² is homogeneous of degree 2.

تابع f(x,y) = x² + y² از درجه 2 همگن است.

Of a first-order differential equation: capable of being written in the form f(x,y) dy = g(x,y) dx where f and g are homogeneous functions of the same degree.

A homogeneous differential equation can be solved by substitution.

یک معادله دیفرانسیل همگن را می‌توان با جایگزینی حل کرد.

Of a linear differential equation: having its degree-zero term equal to zero; admitting the trivial solution.

The homogeneous equation y'' + y = 0 has solutions sin x and cos x.

معادله همگن y'' + y = 0 جواب‌های sin x و cos x دارد.

Of an element of a graded ring: belonging to one of the summands of the grading.

In a graded ring, every element can be written as a sum of homogeneous elements.

در یک حلقه مدرج، هر عضو را می‌توان به صورت مجموع اعضای همگن نوشت.

Of a space equipped with a group action: such that the group action is transitive and acts by automorphisms.

A homogeneous space looks the same at every point.

یک فضای همگن در هر نقطه یکسان به نظر می‌رسد.

Of a distribution: determined by its restriction to the unit sphere.

A homogeneous distribution is characterized by its values on the unit sphere.

یک توزیع همگن با مقادیرش روی کره واحد مشخص می‌شود.

Of a relation: holding between a set and itself; being an endorelation.

Equality is a homogeneous relation on any set.

برابری یک رابطه همگن روی هر مجموعه‌ای است.