Notebook AtlasSURG0002 · Research methods: go to the course map

AtlasFoundations · start here

Reading the symbols (Σ, x̄, √, ², subscripts, ≥)

  1. Fractions, proportions, percentages and rounding
  2. Reading the symbols (Σ, x̄, √, ², subscripts, ≥)

Fig. 1

Five pore diameters from a micro-CT slice of a 3D-printed PCL bone scaffold (µm)

Five pore diameters (µm)
2002503003504004 ≥ 300≥ 300x₂x₄x₁x₅x₃

Σ = 1,550 µm over n = 5 pores.

Five pores on a micro-CT slice of the printed scaffold measure 310, 290, 330, 300 and 320 µm.

(add them all up): 310 + 290 + 330 + 300 + 320 = 1,550 µm.

The little numbers are name tags: just means pore 3, which is 330 µm.

300 means ‘300 or more’, so a pore of exactly 300 µm counts: 4 of 5 pores are ≥ 300 µm (310, 330, 300, 320).

(times itself): pore 3 and pore 4 are 30 µm apart, and 30² = 30 × 30 = 900. (undo a square): √900 = 30, back where we started.

Σxᵢ (add them all up)
1,550 µm
Pores ≥ 300 µm
4 of 5
Gap squared
900

Explorable Prose · First look

310 µm
290 µm
330 µm
300 µm
320 µm
Symbol to decode symbol

Level 1 · First look · Foundations (ext)

Recognise each symbol as shorthand for a word or an action you already know.

Read the course's formulas aloud (Σ, x̄, √, ², subscripts, ≥ and the Greek letters) and evaluate them on a small data set.

ext A Foundations primer: written for beginners, not from the slides.

  1. Symbols as shorthand (the step you are on)

    Like '&' for 'and', Σ means 'add them all up' and ² means 'times itself'.

    Σ (add them all up): the five pores make 1,550 µm. Drag pore 1 (310 µm) and the total follows.

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