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Chek the Delta = p' - p = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...
4 days ago
Solved
List the near-square primes, p = n² + 1 (Landau's 4th problem)
Historical context At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime...
4 days ago
Solved
List primes which are the sum of two consecutive lower primes plus minus one
Problem statement Some prime numbers can be written as the sum of two consecutive lower primes plus / minus one : Like t...
4 days ago
Solved
Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.
4 days ago
Solved
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...
4 days ago
Solved
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...
4 days ago
Solved
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 ...
4 days ago
Solved
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...
4 days ago
Solved
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 (...
4 days ago
Solved
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 ...
4 days ago
Solved
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...
4 days ago
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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 ...
4 days ago
Solved
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)
4 days ago
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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...
4 days ago
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The Five Infection (Boss Level)
Given a 3x3 matrix A, replace: every value that is equal to five every value that is directly adjacent to a five with zero in...
4 days ago
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Fives Begone
Given any sentence as an input value 'sentence', turn all fives into the letter X and return the improved sentence. Also, turn a...
4 days ago
Solved
Broken Clock
Create a function that outputs t, an inputted matrix time x, in hours and minutes (hr:min) unless the time contains a five. In t...
4 days ago
Solved
No Fives Permitted
Create a function that gives users an custom error message if the matrix A contains a five. The error message should say "No Fiv...
4 days ago
Solved
A Fiveless Factorial
Given a positive integer x, compute its factorial y, but exclude any muliplication by five if applicable.
4 days ago
Solved
Don't Sum a Five
Create a function that sums the first and last element of a muti-element vector unless the value of one of the elements is 5. Do...
4 days ago
Solved
Don't Include a Five (Part Two)
Given a vector A with at least one non-five, return vector B, with all fives excluded (not replaced by zeros).
4 days ago
Solved
Don't Include a Five
Given a vector A, return vector B with all 5s replaced with 0s.
4 days ago
