daviddoji/CalculusWithJuliaNotes.jl
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some typos

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Fang Liu
2025-04-22 15:19:44 +08:00
parent 36895faafe
commit ed1d92197a
8 changed files with 20 additions and 20 deletions
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quarto/precalc/logical_expressions.qmd
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@@ -94,7 +94,7 @@ Well, almost... When `Inf` or `NaN` are involved, this may not hold, for example
So adding or subtracting most any finite value from an inequality will preserve the inequality, just as it does for equations.
What about addition and multiplication?
What about multiplication?
Consider the case $a < b$ and $c > 0$. Then $ca < cb$. Here we investigate using $3$ random values (which will be positive):
@@ -231,7 +231,7 @@ Read aloud this would be "minus $7$ is less than $x$ minus $5$ **and** $x$ minus
The "and" equations can be combined as above with a natural notation. However, an equation like $\lvert x - 5\rvert > 7$ would emphasize an **or** and be "$x$ minus $5$ less than minus $7$ **or** $x$ minus $5$ greater than $7$". Expressing this requires some new notation.
The *boolean shortcut operators* `&&` and `||` implement "and" and "or." (There are also *bitwise* boolean operators `&` and `|`, but we only describe the former.)
The *boolean shortcut operators* `&&` and `||` implement "and" and "or". (There are also *bitwise* boolean operators `&` and `|`, but we only describe the former.)
Thus we could write $-7 < x-5 < 7$ as