Risolto

Sum of series
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)

12 mesi fa

Risolto

Check the integers decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...

12 mesi fa

Risolto

Check the 'golden prime squares' equation
Historical context In december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula : ...

12 mesi fa

Risolto

Euclid primes
Historical context Euclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he ...

12 mesi fa

Risolto

Fermat primes
Historical context The french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / co...

12 mesi fa

Risolto

Ulam primes first formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers ...

12 mesi fa

Risolto

Ulam primes second formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given...

12 mesi fa

Risolto

Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula to give some prime numbers. Problem...

12 mesi fa

Risolto

Frequencies of prime gaps
Problem statement Given two positive integers n and , write a function which computes the frequency of the gap between two ...

12 mesi fa

Risolto

Find the first occurence of a given gap between two consecutive prime numbers
Problem statement Given a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f. E...

circa un anno fa

Risolto

Prime numbers which are the difference of two consecutive cubes
Problem statement Given a positive integer n greater than 2, find the prime numbers less or equal to n and which are the diff...

circa un anno fa

Risolto

Estimating Monthly Electricity Cost for a Household Appliance
You recently bought an electric kettle for your kitchen, and you want to estimate how much it costs to run every month. The kett...

circa un anno fa

Risolto

Voltage Divider Calculation
A voltage divider is a simple circuit used to obtain a reduced voltage from a higher voltage source using two resistors in serie...

circa un anno fa

Risolto

LED Current Calculation
In an electrical circuit, the current (III) flowing through an LED is determined using Ohm’s Law: Where: I is the current ...

circa un anno fa

Risolto

Inductor Energy Storage Calculation
The energy (EEE) stored in an inductor is given by the formula: Where: E is the energy in joules (J) L is the inductance in...

circa un anno fa

Risolto

Calculate Charge Using Capacitance and Voltage
The charge (Q) stored in a capacitor is given by the formula:Q=C×V where: C is the capacitance (in farads) V is the voltage (...

circa un anno fa

Risolto

Energy Stored in a Capacitor
The energy (E) stored in a capacitor is given by the formula: where: C is the capacitance (in farads) V is the voltage (in ...

circa un anno fa

Risolto

Calculate Current in a Series Circuit Using KVL
Kirchhoff's Voltage Law (KVL) states that the sum of voltages around a closed loop is zero. Given a voltage source (V) and three...

circa un anno fa

Risolto

Calculating the Total Resistance in a Series Circuit
Description: In a series circuit, the total resistance is the sum of the individual resistances. This problem asks you to write ...

circa un anno fa

Risolto

Simple Electrical Power Calculation
Calculate the electrical power using the formula: P=V×I where: V is the voltage (in volts) I is the current (in amperes)

circa un anno fa

Risolto

Ohm’s Law - Calculate Resistance
Ohm’s Law states that resistance R can be calculated as:R=V/I where: V is the voltage (in volts) I is the current (in ampere...

circa un anno fa

Risolto

String Logic 10
Examples: 'SUNDAY' --> 83 'MONDAY' --> 77 'TUESDAY' --> 84 'WEDNESDAY' --> 87 'THURSDAY' --> 84 'FRIDAY' --> 70 'SATURD...

circa un anno fa

Risolto

String Logic 5
Example: 'CAT' --> 'TAC' 'DOG' --> 'GOD' 'MATLAB' --> 'BALTAM' 'ROSY' --> 'YSOR' 'TRUST' --> 'TSURT' 'MOSTLY' --> 'YLTS...

circa un anno fa

Risolto

String Logic 8
Example: 'CAT' --> 65 'DOG' --> 68 'ROSY' --> 79 'MATLAB' --> 65 'TRUST' --> 82 'MOSTLY' --> 76

circa un anno fa

Risolto

String Logic 9
Examples: 'CAT' --> 'C' 'DOG' --> 'G' 'ROSLY' --> 'R' 'PROBLEM' --> 'M' 'TRUST' --> 'T' 'BASIC' --> 'C' 'GIANT' --> 'I'...

circa un anno fa

Risolto

String Logic 12
Examples: 'CAT' --> 'ACT' 'DOG' --> 'DGO' 'ROSY' --> 'ORSY' 'MOSTLY' --> 'LMOSTY'

circa un anno fa

Risolto

String Logic 15
Examples: 'CAT' --> 'XZG' 'DOG' --> 'WLT' 'ROSY' --> 'ILHB' 'MOSTLY' --> 'NLHGOB'

circa un anno fa

Risolto

String Logic 11
Examples: 'SUNDAY' --> 6 'MONDAY' --> 6 'TUESDAY' --> 7 'WEDNESDAY' --> 9 'THURSDAY' --> 8 'FRIDAY' --> 5 'SATURDAY' --...

circa un anno fa

Risolto

Remove Lower Case Letters
Example MEMOry --> MEMO IMPlEMeNtATiON --> IMPEMNATON

circa un anno fa

Risolto

Remove Upper Case Letters
Example Matlab --> atlab proBlem --> prolem Enter --> nter

circa un anno fa