呜呜呜，开学这种事情不要啊
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Logic and Mathematical ProofsPropositional LogicProposition: a declarative sentence that is either true or false (not both).
Conventional letters used for propositional variables are , , , , …
Truth value of a proposition: true(T); false(F).
logical connectives: build compound propositions
, , , , (Implication), (Biconditional).
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奇怪的ECE 313，他为什么属于ECE而不是属于MATH呢
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probability spaceIt’s a triplet
: A nonempty set, each element of is called an outcome and is called the sample space. The number of is called the cardinality of
: read as Script F, a set of all subsets of , also call it events.
: a probability measure on F. is the probability of event ().
We use or to mea...
241的笔记，还没完成，听说很难www
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Vector & Space BasicDistance Formula in :
Equation of a Sphere :
unit vector:
Dot Product: , , angle between and is
Corollary:
Orthogonal:
ProjectionScalar projection of onto :
Vector projection of onto :
Cross Product: only in The vector , is the angle between two vectors.Some properties of : A volume of t...
看上去很简单，怎么考试分数这么低呢（
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Kinematics
1-D Kinemiatic Quantities
Displacement
Velocity ,
Acceleration ,
n-D Kinemiatic Quantities
Displacement
Velocity
Acceleration
Motion with Constant Acceleration
Displacement:
Velocity:
Acceleration:
Relative Motion:
Newton’s Laws
Mass: An object’s property that determines how hard it is to change its v...
MATH257显然要更简单一点点
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Note for MATH 257
1 Introduction to Vectors1.1 Vectors
We use to present an vector
Linear Combinations: is a typical linear combination of the vetors and
1.2 Lengths and Dot Products
Lengths:
Dot product: , and have same rows.
Angle: angle between and has
2 Matrics El...
这是一篇关于MATH221/MATH231的笔记，应付一下先修考试也是可以的qwq
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limitation
Derivation
，，
，，
，
，
，
，
，
Integration
Applications of Integrals
Area :
Arc Length :
Area of a Surface of Revolution :
Approximate Integration
For all:
Midpoint Rule
and
Trapezoidal Rule
Simpson’s Rule
,
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