Grokking Modern System Design Interview for Engineers & Managers
Ace your System Design Interview and take your career to the next level. Learn to handle the design of applications like Netflix, Quora, Facebook, Uber, and many more in a 45-min interview. Learn the RESHADED framework for architecting web-scale applications by determining requirements, constraints, and assumptions before diving into a step-by-step design process.
The programming language Go uses the Y1
function to find the order-one Bessel function of the second kind for the passed argument.
To use this function, you must import the math
package in your file and access the Y1
function within it using the .
notation (math.Y1
). Here, Y1
is the actual function, while math
is the Go package that stores the definition of this function.
The Bessel functions are canonical solutions to Bessel’s differential equation. These solutions are in the form below:
$y= AJ_{v}(x) + BY_{v}(x)$
In the equation above, subscript $v$ determines the order of the functions (the Bessel functions are defined for all real values of $v$). So, $for v = 1$, the produced solutions will be of order-one.
$Y$ in the equation above represents the second solution to the Bessel equation, also known as the Bessel function of the second kind.
The definition of the Y1
function inside the math
package is as follows:
The Y1
function takes a single argument of type float64
that represents the number for which you want to find the second kind order-one Bessel function.
The Y1
function returns a single value of type float64
that represents the second kind order-one Bessel function of the argument.
Some special cases are +Inf, 0, or NAN
is passed as an argument:
If the argument has a +Inf value, the return value will be 0.
If the argument has a value of 0, the return value will be -Inf.
If the argument is NAN
or a negative value, the return value is NAN
.
Below is a simple example where we find out the order-one Bessel function of the second kind for 5.35
.
package mainimport("fmt""math")func main() {var x float64 = 5.35y := math.Y1(x)fmt.Print("The second kind order-one Bessel function of ", x," is ", y)}
The example below shows how the Y1
function deals with an argument whose value is infinite (both positive and negative).
To generate the infinite value, we use the
Inf
function in themath
package, which generates an infinite value with the same sign as the argument passed to it.
package mainimport("fmt""math")func main() {var x float64 = math.Inf(1)y := math.Y1(x)fmt.Print("The second kind order-one Bessel function of ", x," is ", y, "\n")x = math.Inf(-1)y = math.Y1(x)fmt.Print("The second kind order-one Bessel function of ", x," is ", y)}
The example below shows how the Y1
function handles NAN
values.
Here, we use the
NaN
function present in themath
package to generate aNAN
value.
package mainimport("fmt""math")func main() {my_nan := math.NaN()y := math.Y1(my_nan)fmt.Print("The second kind order-one Bessel function of ", my_nan," is ", y, "\n")}
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Grokking Modern System Design Interview for Engineers & Managers
Ace your System Design Interview and take your career to the next level. Learn to handle the design of applications like Netflix, Quora, Facebook, Uber, and many more in a 45-min interview. Learn the RESHADED framework for architecting web-scale applications by determining requirements, constraints, and assumptions before diving into a step-by-step design process.