Cheatsheet 1 3 2 X 2

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Cheatsheet 1 3 2 X 2

X 2-(1/2)x = -3/2 Now the clever bit: Take the coefficient of x, which is 1/2, divide by two, giving 1/4, and finally square it giving 1/16 Add 1/16 to both sides of the equation: On the right hand side we have. Principle 3 10. How to multiply 2/3 by 1/3. What is 2/3 by 1/3 in fraction form? 2/3 by 1/3 as a fraction. Note: The resulting fraction is in the reduced form. A reduced fraction is a.
F X 2 X 3 2 1
3 X 2 X 1.5
Cheatsheet 1 3 2 X 2.5
X2 X 1 2 3
Quick-Start GuideWhen you enter an equation into the calculator, the calculator will begin by expanding (simplifying) the problem. Then it will attempt to solve the equation by using one or more of the following: addition, subtraction, division, taking the square root of each side, factoring, and completing the square. This calculator can be used to factor polynomials.
F X 2 X 3 2 1Variables3 X 2 X 1.5Any lowercase letter may be used as a variable.
ExponentsExponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.
Parentheses and BracketsParentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression. Pine 2019 game.
Multiplication, Addition, and SubtractionFor addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).

Order of OperationsThe calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not supported; attempts to use the / symbol will result in an error.
Division, Square Root, Radicals, FractionsThe above features are not supported.
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Thanks to Brendan O'Connor, this cheatsheet aims to be a quick reference of Scala syntactic constructions. Licensed by Brendan O'Connor under a CC-BY-SA 3.0 license.
X2 X 1 2 3variables

Good
Variable.

Bad
Constant.
Explicit type.
functions
Good
Bad
Define function.
Hidden error: without = it's a procedure returning Unit; causes havoc. Deprecated in Scala 2.13.
Good
Bad
Define function.
Syntax error: need types for every arg.
Type alias.
 vs.
Call-by-value.
Call-by-name (lazy parameters).
Anonymous function.
 vs.
Anonymous function: underscore is positionally matched arg.
Anonymous function: to use an arg twice, have to name it.
Anonymous function: block style returns last expression.
Anonymous functions: pipeline style (or parens too).

Anonymous functions: to pass in multiple blocks, need outer parens.
Currying, obvious syntax.
Currying, obvious syntax.
Currying, sugar syntax. But then:
Need trailing underscore to get the partial, only for the sugar version.
Generic type.

Infix sugar.
Varargs.
packages
Wildcard import.

Selective import.
Renaming import.
Import all from java.util except Date.
At start of file:
Packaging by scope: 
Package singleton: Declare a package.
data structures
Tuple literal (Tuple3).
Destructuring bind: tuple unpacking via pattern matching.
Bad
Hidden error: each assigned to the entire tuple.
List (immutable).
Paren indexing (slides).
Cons.
same as
Range sugar.
Empty parens is singleton value of the Unit type.
Equivalent to void in C and Java.
control constructs
Conditional.

same as
Conditional sugar.
While loop.
Do-while loop.
Break (slides).

same as
For-comprehension: filter/map.

same as
For-comprehension: destructuring bind.

same as
For-comprehension: cross product.
For-comprehension: imperative-ish.
sprintf style.
For-comprehension: iterate including the upper bound.
For-comprehension: iterate omitting the upper bound.
pattern matching
Good
Bad
Use case in function args for pattern matching.
Bad
v42 is interpreted as a name matching any Int value, and '42' is printed.
Good
`v42` with backticks is interpreted as the existing val v42, and 'Not 42' is printed.
Good
UppercaseVal is treated as an existing val, rather than a new pattern variable, because it starts with an uppercase letter. Thus, the value contained within UppercaseVal is checked against 3, and 'Not 42' is printed.
object orientation
Constructor params - x is only available in class body.

Constructor params - automatic public member defined.
Constructor is class body.
Declare a public member.
Declare a gettable but not settable member.
Declare a private member.
Alternative constructor.
Anonymous class.
Define an abstract class (non-createable).
Define an inherited class.

Inheritance and constructor params (wishlist: automatically pass-up params by default).
Define a singleton (module-like).

Traits.
Interfaces-with-implementation. No constructor params. mixin-able.

Multiple traits.
Must declare method overrides.
Create object.
Bad
Good
Type error: abstract type.
Instead, convention: callable factory shadowing the type.
Class literal.
Type check (runtime).
Type cast (runtime).
Ascription (compile time).
options
Construct a non empty optional value.
The singleton empty optional value.
butNull-safe optional value factory.
same asExplicit type for empty optional value.
 Factory for empty optional value.
Pipeline style.
For-comprehension syntax.
same asApply a function on the optional value.
same asSame as map but function must return an optional value.
same asExtract nested option.
same asApply a procedure on optional value.
same asApply function on optional value, return default if empty.
same asApply partial pattern match on optional value.
same astrue if not empty.
same astrue if empty.
same astrue if not empty.
same as0 if empty, otherwise 1.
same asEvaluate and return alternate optional value if empty.
same asEvaluate and return default value if empty.
same asReturn value, throw exception if empty.
same asReturn value, null if empty.
same asOptional value satisfies predicate.
same asOptional value doesn't satisfy predicate.
same asApply predicate on optional value or false if empty.
same asApply predicate on optional value or true if empty.
same asChecks if value equals optional value or false if empty.

variables
Good	Variable.
Bad	Constant.
Explicit type.
functions
Good Bad	Define function. Hidden error: without `=` it's a procedure returning `Unit`; causes havoc. Deprecated in Scala 2.13.
Good Bad	Define function. Syntax error: need types for every arg.
Type alias.
vs.	Call-by-value. Call-by-name (lazy parameters).
Anonymous function.
vs.	Anonymous function: underscore is positionally matched arg.
Anonymous function: to use an arg twice, have to name it.
Anonymous function: block style returns last expression.
Anonymous functions: pipeline style (or parens too).
	Anonymous functions: to pass in multiple blocks, need outer parens.
Currying, obvious syntax.
Currying, obvious syntax.
Currying, sugar syntax. But then:
Need trailing underscore to get the partial, only for the sugar version.
Generic type.
	Infix sugar.
Varargs.
packages
Wildcard import.
	Selective import.
Renaming import.
Import all from `java.util` except `Date`.
At start of file: Packaging by scope: Package singleton:	Declare a package.
data structures
Tuple literal (`Tuple3`).
Destructuring bind: tuple unpacking via pattern matching.
Bad	Hidden error: each assigned to the entire tuple.
List (immutable).
Paren indexing (slides).
Cons.
same as	Range sugar.
Empty parens is singleton value of the Unit type. Equivalent to `void` in C and Java.
control constructs
Conditional.
same as	Conditional sugar.
While loop.
Do-while loop.
Break (slides).
same as	For-comprehension: filter/map.
same as	For-comprehension: destructuring bind.
same as	For-comprehension: cross product.
For-comprehension: imperative-ish. `sprintf` style.
For-comprehension: iterate including the upper bound.
For-comprehension: iterate omitting the upper bound.
pattern matching
Good Bad	Use case in function args for pattern matching.
Bad	`v42` is interpreted as a name matching any Int value, and '42' is printed.
Good	`v42` with backticks is interpreted as the existing val `v42`, and 'Not 42' is printed.
Good	`UppercaseVal` is treated as an existing val, rather than a new pattern variable, because it starts with an uppercase letter. Thus, the value contained within `UppercaseVal` is checked against `3`, and 'Not 42' is printed.
object orientation
Constructor params - `x` is only available in class body.
	Constructor params - automatic public member defined.
Constructor is class body. Declare a public member. Declare a gettable but not settable member. Declare a private member. Alternative constructor.
Anonymous class.
Define an abstract class (non-createable).
Define an inherited class.
	Inheritance and constructor params (wishlist: automatically pass-up params by default).
Define a singleton (module-like).
	Traits. Interfaces-with-implementation. No constructor params. mixin-able.
	Multiple traits.
Must declare method overrides.
Create object.
Bad Good	Type error: abstract type. Instead, convention: callable factory shadowing the type.
Class literal.
Type check (runtime).
Type cast (runtime).
Ascription (compile time).
options
Construct a non empty optional value.
The singleton empty optional value.
but	Null-safe optional value factory.
same as	Explicit type for empty optional value. Factory for empty optional value.
Pipeline style.
For-comprehension syntax.
same as	Apply a function on the optional value.
same as	Same as map but function must return an optional value.
same as	Extract nested option.
same as	Apply a procedure on optional value.
same as	Apply function on optional value, return default if empty.
same as	Apply partial pattern match on optional value.
same as	`true` if not empty.
same as	`true` if empty.
same as	`true` if not empty.
same as	`0` if empty, otherwise `1`.
same as	Evaluate and return alternate optional value if empty.
same as	Evaluate and return default value if empty.
same as	Return value, throw exception if empty.
same as	Return value, `null` if empty.
same as	Optional value satisfies predicate.
same as	Optional value doesn't satisfy predicate.
same as	Apply predicate on optional value or `false` if empty.
same as	Apply predicate on optional value or `true` if empty.
same as	Checks if value equals optional value or `false` if empty.