11.19.1 Top new questions this week

11.19.1.1 Simplifying `Pochhammer[1, n]/Pochhammer[3/2, n]`
11.19.1.2 Is there a way to specify more practical default assumptions for Mathematicas Integrate function
11.19.1.3 Controlling height of Sqrt symbol
11.19.1.4 How to accelerate the Mathematica code
11.19.1.5 Why does Mathematica say that this integral diverges?
11.19.1.6 Converting expression into pure function with Part of Slot
11.19.1.7 Knapsack problem
11.19.1.1 Simplifying `Pochhammer[1, n]/Pochhammer[3/2, n]`

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=313875

Is there a way to coax Mathematica to automatically simplify expressions involving Pochhammer symblos like  Pochhammer[1, n]/Pochhammer[3/2, n] ? It comes from ... 
[algebraic-manipulation]
 
asked by Yaroslav Bulatov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=217 Score of 7
answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 Score of 2
11.19.1.2 Is there a way to specify more practical default assumptions for Mathematicas Integrate function

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=313930

As a result of repeated updates to Mathematica (12.3.1), the usage of integrate has become practically useless to an extent I consider ridiculous.  To illustrate the problem take the following example 
... 
[calculus-and-analysis] [assumptions]
 
asked by Muzza https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=110581 Score of 7
answered by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 Score of 12
11.19.1.3 Controlling height of Sqrt symbol

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=313855

In the following example, one can see that the vertical sizes of square roots are unequal, because  y  has a descender: 
... 
[formatting] [front-end] [subscript]
 
asked by LittleCat1 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=90646 Score of 7
answered by Kuba https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5478 Score of 8
11.19.1.4 How to accelerate the Mathematica code

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=313887

A Baxter permutation is one permutation $\sigma \in S_n$ which satisfies the following generalized pattern avoidance property: 
 
There are no indices $i<j<k$ such that $\sigma(j+1)<\sigma(i)&... 
[performance-tuning] [combinatorics]
 
asked by Ahamad https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=106668 Score of 6
answered by Henrik Schumacher https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=38178 Score of 15
11.19.1.5 Why does Mathematica say that this integral diverges?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=313878

Mathematica 13.2 (on windows 10) is giving strange results for a simple integral, after making contradictory assumptions on a variable which is not in that integral. 
In: 
... 
[calculus-and-analysis]
 
asked by Matt Majic https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=60415 Score of 5
answered by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 5
11.19.1.6 Converting expression into pure function with Part of Slot

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=313914

One way to convert expression  expr  into pure function is manually rewriting  x  with  #[[1]]  ... 
[function-construction]
 
asked by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 4
answered by Kuba https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5478 Score of 6
11.19.1.7 Knapsack problem

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=313906

Say I have the following number 499013 from which I must find a list with the following characteristics: 
 
the list has the same length as the binary list of the given number 
it has the same value of ... 
[mathematical-optimization] [knapsack] [linear]
 
asked by Giorgio https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=13259 Score of 4
answered by Roman https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=26598 Score of 5