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How Deep Is the Well?

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How Deep Is the Well? Exploring Physics with Code Have you ever dropped a rock into a well and wondered how deep it is? The sound of the splash echoes back, but how can we calculate the depth without physically measuring it? Let’s dive into the fascinating world of physics and programming to solve this age-old question using Function Calculator.   The Science Behind It When you drop an object into a well, two key events occur: The Fall : The object falls under the influence of gravity, accelerating as it goes. The Sound : After hitting the water, the sound of the splash travels back up to you. By combining these two events, we can calculate the depth of the well using basic physics. The total time  t  (the time it takes for you to hear the splash) is a combination of: The time it takes for the object to fall (fallTime). The time it takes for the sound to travel back up ( soundTime ). Using these principles, we can derive a quadratic equation to calculate the depth. The Fo...

Mathematics Function Examples

def round6(value)=round(value*10^6)/10^6; def max(a,b){   if(a>=b){     return a;   }   else{     return b;   } } def min(a,b){   if(a<=b){     return a;   }   else{     return b;   } } def facorial(n)=n*factorial(n−1); factorial(0)=1; def fibonacci(n)=fibonacci(n−1)+fibonacci(n−2); fibonacci(1)=1; fibonacci(2)=1; def isPrime(n){   if(n<=1){     return false;   }   var i=2;   while(i*i<=n){     if(n%i==0){       return false;     }     i=i+1;   }   return true; } def nthPrime(n){   var count=0;   var num=2;   while(count<n){     if(isPrime(num)){       count=count+1;     }     if(count==n){       return num;     }     num=num+1;   }   return num−1; } def det2(a,b,c,d){   return a*d−b*c; } def solveX2(a...

Daily life math function examples

def afterDiscounted(price,discountRate) =price*(1−discountRate/100); def hexTessellate(w,h,s){   if(w<=0||h<=0||s<=0){     return 0;   }   var col=floor(w/(3/2*s));   var row=floor(h/(sqrt(3)*s));   return col*row; } def 정육각형타일갯수(가로,세로,타일한변길이)=hexTessellate(가로,세로,타일한변길이); def rhombusTessellate(w,h,s,θ){   if(w<=0||h<=0||s<=0||θ<=0||θ>=180){     return 0;   }   if(θ>90){     θ=180−θ;   }   var wr=s*(1+cos(θ));   var hr=s*sin(θ);   var col=floor(w/wr);   var row=floor(h/hr);   return col*row; } def penroseTileCount(w,h,s){   if(w<=0||h<=0||s<=0){     return 0;   }   var thinAngle=36;   var fatAngle=72;   var thinWidth=s/cos(thinAngle/2);   var thinHeight=s*sin(thinAngle);   var fatWidth=s/cos(fatAngle/2);   var fatHeight=s*sin(fatAngle);   var thinColCount=floor(w/thinWidth);   var thinRowCount=f...

About Function Calculator

Gone are the days when calculators were limited to basic arithmetic. With your Android app, Function Calculator , users can unlock the power of programmable functionality, transforming the way they solve math problems. The `cubeEqNew` below is a prime example of how users can create their own custom math functions, showcasing the flexibility and innovation your app offers. What Makes "Function Calculator" Unique? Unlike traditional calculators, Function Calculator is programmable, meaning users can create, customize, and execute their own mathematical scripts. This feature empowers users to tailor the calculator to their needs, whether they’re solving complex equations or automating repetitive calculations.  The `cubeEqNew` function as shown below is not just a built-in feature—it’s a demonstration of what users themselves can achieve with your app. Let’s explore how this works. cubeEgNew (code example) def round6(value)=round(value*10^6)/10^6; def cubeEqNew(a,b,c,d,x123){   ...

Solving a 2x2 System of Linear Equations

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How to Create Custom Functions for Solving Math Problems in Your Calculator Hello, calculator enthusiasts! Today, I’m going to walk you through how you can create a custom function in your calculator to solve specific math problems. If you're dealing with  2x2 systems of linear equations , this guide is for you. We'll use the provided code as an example and break it down step by step. The Problem: Solving a 2x2 System of Linear Equations A 2x2 system of linear equations looks like this: a * x + b * y = m c * x + d * y = n Here,  a ,  b ,  c , and  d  are coefficients, and  m  and  n  are constants. Your goal is to solve for the variables  x  and  y . To do this, we'll use determinants. The Code Breakdown Let’s dive into the code you provided and explain how it works. Step 1: Calculating the Determinant of a 2x2 Matrix The determinant of a 2x2 matrix is calculated using the formula: det = (a * d) - (b * c) In the code, this...