Inserting a NSTimer in the main threads run loop

So I am implementing an UI control, much like a textfield, but supposedly configurable so that I can give it the look and feel that I want.

To make a caret blink when the control receives focus I attach a NSTimer to the main thread’s run loop. Todo that I just have to call a class method from the NSTimer class and it creates and adds it to the run loop object.

To create a timer I have to instantiate it with a call to 

+ (NSTimer *)scheduledTimerWithTimeInterval:(NSTimeInterval)seconds invocation:(NSInvocation *)invocation repeats:(BOOL)repeats

Which takes me to the subject of instantiating an NSInvocation Object. For that we have the method

+ (NSInvocation *)invocationWithMethodSignature:(NSMethodSignature *)signature

To create a NSMethodSignature we need to call the method :

+ (NSMethodSignature *)signatureWithObjCTypes:(const char *)types

The apple docs say that “Returns an NSMethodSignature object for the given Objective C method type string.”

What is an Objective C type string ? Its a character code for every primitive type in the Objective C language and can be consulted in the following link:

https://developer.apple.com/library/mac/documentation/Cocoa/Conceptual/ObjCRuntimeGuide/Articles/ocrtTypeEncodings.html
So the rest is just as easy as RTFM.
Edit : WAIT !
I just RTFM and indeed the above method of creating the method signature for the NSInvocation is platform dependent. Depending on the version of OS X you are on it may change. So we are better off using the rolling procedure : 
    NSInvocation* blinkMethod = [NSInvocation invocationWithMethodSignature: [self methodSignatureForSelector:@selector(blinkCaret)]];
 

Math refresher

While reading about the natural response of RL and RC circuits, I have com across the need to solve first order differential equations.

While doing so I realised that I need to brush up on my math. So here goes :

equation_01

 

Then, by integrating both sides of the previous equation :

equation_02