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All fields Software Mathematics Physics Chemistry Biology Engineering Astronomy Environmental Other Mathematics Mathematics groups

Explore STEM Content

Search the community's STEM library — free to study, yours to make your own.

Mathematics

Algebra, calculus, proofs and statistics on openstem — flashcards, notes, quizzes and plots shared by the community. Study free, or clone anything into your library.

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Mathematics: explore STEM content (page 12 of 23) · openstem

Flowchart9 objects

Mathematics

Mathematics · L1 · Estimating & Benchmark Numbers · flowchart

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Mathematics · L1 · Estimating & Benchmark Numbers · flowchart

Flowchart11 objects

Mathematics

Mathematics · L1 · Steps to Make a Bar Graph

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Mathematics · L1 · Steps to Make a Bar Graph

Flowchart9 objects

Mathematics

Mathematics · L1 · Odd & Even Numbers

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Mathematics · L1 · Odd & Even Numbers

Flowchart7 objects

Mathematics

Mathematics · L1 · Sequencing Events: First, Next, Last

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Mathematics · L1 · Sequencing Events: First, Next, Last

Quiz6 questions

Simplify i².

A−1B1C−iD0

Mathematics

Mathematics · L3 · Complex Number Operations

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Mathematics · L3 · Complex Number Operations

Flowchart17 objects

Mathematics

Mathematics · L1 · 2D Shapes & Their Attributes · flowchart

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Mathematics · L1 · 2D Shapes & Their Attributes · flowchart

Flowchart7 objects

Mathematics

Mathematics · L2 · Angle Relationships · flowchart

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Mathematics · L2 · Angle Relationships · flowchart

Flowchart15 objects

Mathematics

Mathematics · L5 · Convex Optimization: Convexity, Duality, and KKT Conditions · flowchart

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Mathematics · L5 · Convex Optimization: Convexity, Duality, and KKT Conditions · flowchart

Flowchart11 objects

Mathematics

Mathematics · L4 · Solving first-order differential equations · flowchart

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Mathematics · L4 · Solving first-order differential equations · flowchart

Flowchart15 objects

Mathematics

Mathematics · L3 · Parametric Equations & Motion · flowchart

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Mathematics · L3 · Parametric Equations & Motion · flowchart

Flowchart10 objects

Mathematics

Mathematics · L1 · Solving a Division Word Problem

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Mathematics · L1 · Solving a Division Word Problem

Flashcards8 cards

What is a repeating pattern?1 / 8

A repeating pattern uses the same small group of things over and over, in the same order — like red, blue, red, blue, red, blue.

Mathematics

Mathematics · L1 · Patterns: Repeating & Growing

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Mathematics · L1 · Patterns: Repeating & Growing

Flashcards5 cards

State the Weak Law of Large Numbers (WLLN) and the Strong Law (SLLN). How do they differ?1 / 5

Let X₁, X₂, … be i.i.d. with E[X₁] = μ and (for WLLN) Var(X₁) < ∞. WLLN: X̄ₙ →ᴾ μ (convergence in probability). SLLN (Kolmogorov): with E[|X₁|] < ∞ sufficient, X̄ₙ →ᵃ·ˢ· μ (almost-sure convergence). Almost-sure is strictly stronger: ω-by-ω convergence for a set of measure 1.

Mathematics

Mathematics · L5 · Asymptotics & Limit Theorems

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Mathematics · L5 · Asymptotics & Limit Theorems

Flowchart14 objects

Mathematics

Mathematics · L1 · Comparing Length: Longer, Shorter, Taller · flowchart

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Mathematics · L1 · Comparing Length: Longer, Shorter, Taller · flowchart

Quiz4 questions

Let X₁, X₂, … be i.i.d. with mean μ and variance σ². What does the CLT say about √n(X̄ₙ − μ)?

AIt converges in probability to μBIt converges almost surely to 0CIt converges in distribution to N(0, σ²)DIt converges in distribution to N(μ, σ²)

Mathematics

Mathematics · L5 · Asymptotics & Causal Inference

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Mathematics · L5 · Asymptotics & Causal Inference

Collection24 items

01Mathematics · L2 · Graphing Linear Equations

02Mathematics · L2 · Graphing Inequalities on a Number Line

03Mathematics · L2 · Percent Applications: Discount, Tax & Tip

+21 more

Mathematics

Mathematics · L2 · Functions & Data

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Mathematics · L2 · Functions & Data

Note~289 words · 1 min

What a rational function is A polynomial over a polynomial. The domain excludes every x that makes the denominator zero, so (x − 1)/(x² − 4) is defined for all reals except x = 2 and x = −2. Vertical asymptote or hole? Factor the top and bo

Mathematics