Can anyone simplify a && b && ( True || c ) to 1? - math

I found this in a coursebook and think there might be an error in it since I cannot see how it simplifies to 1, I get AB instead...

being a de morgans law here we consider A=B=C=1 and so A'=B'=C'=0 (A' is A rise to dash)
so L.H.S last statement is = A.B(1+C) = 1.1(1+1) = 1.1 =1
HERE 1.1 =1 and 1+1 =1 (applying the demorgans law) you may google the use formula

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Searching in database with scrambled words in SQLite

I am wondering if its possible to search in the database with the given scrambled words.
I have a mobs table in database and it holds the name of the monster names
If given monster name is A Golden Dregon or A Golden Dfigon or A Gelden Dragon I want it to find A Golden Dragon or with the matches that close to it from database. Usually one or two letters at max is given like this as scrambled.
Is that possible with just SQL queries? Or should I build the query by parsing the given monster name?
I am using LUA for the code side.
I have come to know this search type as a fuzzy search. I mainly program in JS and use fuse.js all the time for this kind of problem.
Fuzzy Searches are based on the Levenshtein algorithm that rate the distance of two strings. When you have this distance value you can sort or drop elements from a list based on the score.
I found the algorithm in lua here.
function levenshtein(s, t)
local s, t = tostring(s), tostring(t)
if type(s) == 'string' and type(t) == 'string' then
local m, n, d = #s, #t, {}
for i = 0, m do d[i] = { [0] = i } end
for j = 1, n do d[0][j] = j end
for i = 1, m do
for j = 1, n do
local cost = s:sub(i,i) == t:sub(j,j) and 0 or 1
d[i][j] = math.min(d[i-1][j]+1, d[i][j-1]+1, d[i-1][j-1]+cost)
end
end
return d[m][n]
end
end
As explained in the site you compare two strings like so and get a score based on the distance of them, then sort or drop the items being search based on the scores given. As this is CPU expensive I would suggest caching or use a memoize function to store common mistakes.
levenshtein('referrer', 'referrer') -- zero distance
>>> 0
levenshtein('referrer', 'referer') -- distance of one character
>>> 1
levenshtein('random', 'strings') -- random big distance
>>> 6
Got a simple version of it working in lua here I must say lua is an easy language to pick up and start coding with.
local monsters = {'A Golden Dragon', 'Goblins', 'Bunny', 'Dragoon'}
function levenshtein(s, t)
local s, t = tostring(s), tostring(t)
if type(s) == 'string' and type(t) == 'string' then
local m, n, d = #s, #t, {}
for i = 0, m do d[i] = { [0] = i } end
for j = 1, n do d[0][j] = j end
for i = 1, m do
for j = 1, n do
local cost = s:sub(i,i) == t:sub(j,j) and 0 or 1
d[i][j] = math.min(d[i-1][j]+1, d[i][j-1]+1, d[i-1][j-1]+cost)
end
end
return d[m][n]
end
end
--Fuzzy Search Returns the Best Match in a list
function fuzzySearch(list, searchText)
local bestMatch = nil;
local lowestScore = nil;
for i = 1, #list do
local score = levenshtein(list[i], searchText)
if lowestScore == nil or score < lowestScore then
bestMatch = list[i]
lowestScore = score
end
end
return bestMatch
end
print ( fuzzySearch(monsters, 'golen dragggon') )
print ( fuzzySearch(monsters, 'A Golden Dfigon') )
print ( fuzzySearch(monsters, 'A Gelden Dragon') )
print ( fuzzySearch(monsters, 'Dragooon') ) --should be Dragoon
print ( fuzzySearch(monsters, 'Funny') ) --should be Bunny
print ( fuzzySearch(monsters, 'Gob') ) --should be Goblins
Output
A Golden Dragon
A Golden Dragon
A Golden Dragon
Dragoon
Bunny
Goblins
For SQL
You can try to do this same algorithm in T-SQL as talked about here.
In SQLlite there is an extension called editdist3 which also uses this algorithm the docs are here.
I would be hard to compensate for all the different one and two letter scrambled combinations, but you could create a lua table of common misspellings of "A Golden Dragon" check if it is in the table. I have never used lua before but here is my best try at some sample code:
local mob_name = "A Golden Dregon"--you could do something like, input("Enter mob name:")
local scrambled_dragon_names = {"A Golden Dregon", "A Golden Dfigon", "A Gelden Dragon"}
for _,v in pairs(scrambled_dragon_names) do
if v == mob_name then
mob_name = "A Golden Dragon"
break
end
end
I really hope I have helped!
P.S. If you have anymore questions go ahead and comment and I will try to answer ASAP.
You will have to parse the given monster name to some extent, by making assumptions about how badly it is misspelled. For example, if the user supplied the name
b fulden gorgon
There is no way in hell you can get to "A Golden Dragon". However, if you assume that the user will always get the first and last letters of every word correctly, then you could parse the words in the given name to get the first and last letters of each word, which would give you
"A", "G" "n", "D" "n"
Then you could use the LIKE operator in your query, like so:
SELECT * FROM mobs WHERE monster_name LIKE 'A G%n D%n';
The main point here is what assumptions you make about the misspelling. The closer you can narrow it down, the better your query results will be.

build an if statment using max and min

Well,
My first question here.
Is it possible to build an "If" statement using only "max" and "min" statements?
The problem that i have Is that I need to compare 2 numbers (A and B)and see if B > 1.1 x A. If that happens I pick B if not, I pick A .
Any idea?
If your logical operators accept non-boolean value, you could do it as follows:
n = Max(B - 1.1*A, 0)
output = Max(B*(n && n), A)
An if statement, whether in pure (order-invariant) logic or in procedural logic, will work on boolean statements only. That means true or false. A min or max function returns a number, not a true/false value. So the short answer to your question is no, it is not possible to build an if statement using max and min return values.
Now, in the details of your question, you shed a little more light on what you want. What's confusing though is how max and min enters into the equation. B > 1.1*A requires no Max and Min processing, so are you using Max and Min functions to arrive at B and at A? If so, then simply process them first, and then plug them into that equation.
And because "greater than" and "less than" comparions DO return true/false values, you're in luck. Just use that in your "if" statement. Here is some pseudo-code.
max1 = 25
max2 = 72
min1 = 95
min2 = 80
A = Max(max1,max2)
B = Min(min1,min2)
O = NULL
if B > 1.1 * A then
set O = B
else
set O = A
end if
When the output of an if statement is a value, as opposed to a command, as you seem to desire, some languages use the "elvis" operator, which makes things prettier. Using it, you would just write:
O = B > 1.1 * A ? B : A

How to eliminate division inside code like "a/b>c/d"?

For example, if I don't want division in "a/b==c/d",I can rewrite it as "ad==bc".
But "a/b>c/d" is not always = "ad>bc", for example:
a=20, b=5, c=9,d=3 : a/b>c/d is true and ad>bc is true
but
a=-20, b=-5, c=9,d=3 : a/b>c/d is true but ad>bc is false
I started to found the patten, it seems (I am not sure if it is right):
if b and d has same sign, a/b>c/d = ad > bc
if b and d has different sign, a/b > c/d = ad < bc
if I rewrite "a/b>c/d" as
(( (b>0 && d>0 || b<0 && d<0) && a*d>b*c) || ( ((b>0 && d<0) || b<0 && d>0) && a*d<b*c)
,it needs type more characters, also I need to type each variable more than 1 time,and this form is very hard to maintain if I want to change to
a/b>=c/d
or
a/b<c/d
Is there any method to eliminate division in a/b>c/d in simpler way?
You can rewrite it as:
a*d*b*d > b*c*b*d
This way if b and d have different signs then b*d will be a negative number and the comparison will be flipped back the correct way. Be careful about overflows however. To make the code equivalent to a/b > c/d you will also need to check if b or d are zeros.
May be you can get the signs of b and d by bitwise operation, and then rewrite "a/b>c/d" as
(((b>>31)&1) ^ ((d>>31)&1)) ^ (ad > bc)
which is equivalent to
((b>0) ^ (d>0)) ^ (ad > bc)
say b and d are 32-bits integers
When you multiply both sides of an inequality by some non-zero number v, then if v is negative you must reverse the direction of the inequality.
So in your case you are multiplying by b*d so
if (a/b > c/d) {
...
}
is equivalent to
v = b * d;
if(v==0) {
error
}
if ( ( (v>0) && (a*d > c*b) ) ||
( (v<0) && (a*d < c*b) ) ) {
...
}
If you don't care whether you're using > or >=, or care about the handling of v==0 you can rewrite this as
if ( (v>0) ^ (a*d > c*b ) ) {
...
}
There's further considerations required if a, b, c and d are floating point numbers as you need to consider the behaviour of positive and negative infinity, signed zeros and "not a number" values.

What does "&&" do?

I can't seem to find the resource I need. What does && do in a code that is comparing variables to determine if they are true? If there is a link with a list of the symbol comparisons that would be greatly appreciated.
example: Expresssion 1: r = !z && (x % 2);
In most programming languages that use &&, it's the boolean "and" operator. For example, the pseudocode if (x && y) means "if x is true and y is true."
In the example you gave, it's not clear what language you're using, but
r = !z && (x % 2);
probably means this:
r = (not z) and (x mod 2)
= (z is not true) and (x mod 2 is true)
= (z is not true) and (x mod 2 is not zero)
= (z is not true) and (x is odd)
In most programming languages, the operator && is the logical AND operator. It connects to boolean expressions and returns true only when both sides are true.
Here is an example:
int var1 = 0;
int var2 = 1;
if (var1 == 0 && var2 == 0) {
// This won't get executed.
} else if (var1 == 0 && var2 == 1) {
// This piece will, however.
}
Although var1 == 0 evaluates to true, var2 is not equals to 0. Therefore, because we are using the && operator, the program won't go inside the first block.
Another operator you will see ofter is || representing the OR. It will evaluate true if at least one of the two statements are true. In the code example from above, using the OR operator would look like this:
int var1 = 0;
int var2 = 1;
if (var1 == 0 || var2 == 0) {
// This will get executed.
}
I hope you now understand what these do and how to use them!
PS: Some languages have the same functionality, but are using other keywords. Python, e.g. has the keyword and instead of &&.
It is the logical AND operator
(&&) returns the boolean value true if both operands are true and returns false otherwise.
boolean a=true;
boolean b=true;
if(a && b){
System.out.println("Both are true"); // Both condition are satisfied
}
Output
Both are true
The exact answer to your question depends on the which language your are coding in. In R, the & operator does the AND operation pairwise over two vectors, as in:
c(T,F,T,F) & c(T,T,F,F)
#> TRUE FALSE FALSE FALSE
whereas the && operator operated only on the first element of each vector, as in:
c(T,F,T,F) && c(T,T,F,F)
#> TRUE
The OR operators (| and ||) behave similarly. Different languages will have different meanings for these operators.
In C && works like a logical and, but it only operates on bool types which are true unless they are 0.
In contrast, & is a bitwise and, which returns the bits that are the same.
Ie. 1 && 2 and 1 && 3 are true.
But 1 & 2 is false and 1 & 3 is true.
Let's imagine the situation:
a = 1
b = 2
if a = 1 && b = 2
return "a is 1 and b is 2"
if a = 1 && b = 3
return "a is 1 and b is 3"
In this situation, because a equals 1 AND b = 2, the top if block would return true and "a is 1 and b is 2" would be printed. However, in the second if block, a = 1, but b does not equal 3, so because only one statement is true, the second result would not be printed. && Is the exact same as just saying and, "if a is 1 and b is 1".

Name for the logical operator A & (~B)

Is there a name for logical AND with the negation (~) of the second variable, i.e:
A & (~B)
The truth table for such operation is:
0 & (~0) = 0
0 & (~1) = 0
1 & (~0) = 1
1 & (~1) = 0
And in longer sequences of bits,
A = 10110011
B = 10111001
A & B = 10110001
A &(~B) = 00000010
PS - I'm interested with OR with the negation of the second variable, too.
Incredible. A & (~B) is called Material nonimplication, and A | (~B) is called Material implication Seems that every possible binary operation has a name.
The set theoretic term is the "relative complement" of B with respect to A.
I like to call it bit clearer. You find it in code also in the
form by using an assignment:
A = A & ~B
Or more compact as:
A &= ~B
Example: Before: A = 0x0007, B=0x0004
After: A = 0x0003
It has the effect that it clears the bits B from A. But relative
complement, and hence the name difference, you could write
it as follows A \ B, like the set difference, is also a good name.

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