Patna

Dhanraj Singh Dangi replied | 18 hrs ago

A vector space (also called a linear space) is a fundamental concept in mathematics — especially in linear algebra.

Sadiq replied | 4 hrs ago

A vector space has properties related to addition and scalar multiplication, including closure, commutativity, associativity, and the existence of additive and multiplicative identities and inverses. For example, adding any two vectors in a space must result in another vector in that same space (closure under addition). Similarly, multiplying a vector by a scalar must also result in a vector within the space

Saurabh Verma replied | 24 Oct

Articulation in music means how you play each note — whether it’s smooth, short, or strong.

Here are some simple examples:

Staccato (•) → Play the note short and jumpy.

Legato (curved line) → Play smoothly, join one note to the next.

Accent ( > ) → Play the note louder or stronger.

Tenuto (–) → Hold the note for its full time, a bit gentle.

Marcato ( ^ ) → Play the note very strong and bold.

🎹 In short way:

Articulation shows how to touch or press the keys — softly, sharply, or smoothly — to make the music sound more expressive.

Saurabh Verma replied | 24 Oct

Articulation in music means how you play each note — whether it’s smooth, short, or strong.

Here are some simple examples:

Staccato (•) → Play the note short and jumpy.

Legato (curved line) → Play smoothly, join one note to the next.

Accent ( > ) → Play the note louder or stronger.

Tenuto (–) → Hold the note for its full time, a bit gentle.

Marcato ( ^ ) → Play the note very strong and bold.

🎹 In short way:
Articulation shows how to touch or press the keys — softly, sharply, or smoothly — to make the music sound more expressive.

Sana Begum replied | 27 Oct

create a structured routine by setting specific study times, organizing your workspace, and using a calendar to manage deadlines.

Sonia replied | 6 days ago

balance your schedule by using a calendar and planner, communicate with your employer and support network, and create a dedicated study space free from distractions. Stay organized by breaking down tasks, setting clear goals, and leveraging online resources and tools.