# science

### Ajit Mishra’s Online Classroom: Functions in R

Ajit Mishra’s Online Classroom: Functions in R.

This is another blog post released from my Online Classroom of Mathematics . It is a discussion about Functions in R as real sequence .

**To see this blog post in detail please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: Laws Of Motion

Ajit Mishra’s Online Classroom: Laws Of Motion.

Today My Online Classroom of Mathematics released this blog post about Law of Motion . Here is a mathematical discussion about this law of motion .

**Laws Of Motion**

Laws of Motion discovered by Newton , They are as follows ; Law 1 :- Every body perseveres in its state of rest or of uniform motion in a straight line unless it will compelled to change that state by impressed force . Law 2 :- The rate of chan…

**To see this blog post in detail please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: Properties of Continuous Function

Ajit Mishra’s Online Classroom: Properties of Continuous Function.

This is again a blog post released from my Online Classroom of Mathematics . In this post here is a discussion about an Important properties of Continuous function .

**To see this blog post in detail please click on the given Image or Link**

### Ajit Mishra’s Online Classroom: Intervals in R

Ajit Mishra’s Online Classroom: Intervals in R.

Real Analysis is an Important part of Mathematics . In this blog post which is released from my Online Classroom of Mathematics is a discussion about “Intervals in R” . This is a very important topic of Real Analysis .

**To see this blog post in detail please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: Differentiability Theorem

Ajit Mishra’s Online Classroom: Differentiability Theorem.

**Theorem :- ** A function ** f ** is differentiable at ** x=a** if and only if there exists a number ** l ** .

such that ;

** f(a+h)-f(a)=lh+hn**

Where ** n ** denotes a quantity which tends to ** 0 ** as ** h–>0 ** .

This theorem is known as Differentiability Theorem .

**To see the proof of this theorem please click on the given Image or Link .**

### Ajit Mishra’s Online Classroom: Polar Co-ordinates

Ajit Mishra’s Online Classroom: Polar Co-ordinates.

This is my another blog post released from my Online Classroom of Mathematics . In this blog post here is a discussion about Polar Co-ordinates an its Unrestricted Verities . Here is also a short Introduction about Transformation of Co-ordinates and Polar Equation of Curves .

**To see this Blog Post in detail please Click on the Given Image or Link .**

### Ajit Mishra’s Online Classroom: Motion Of A Particle

Ajit Mishra’s Online Classroom: Motion Of A Particle.

**Principles in the formation of the Equation of Motion of a Particle :- **

**For Motion in Straight Line ;**

Let the mass of the body (particle) be ** m ** and let the distance of the particle measured from a suitable origin be ** x** at the time** t ** .

Then acceleration is ** (d/dt)(dx/dt)**

therefore by Second Law of Motion

**m[(d/dt)(dx/dt)] **= Forces in the direction of ** x ** increasing

**To see this blog post in detail please click on the given Image or Link**