• Pixel-art Quadrell, the Quadrature Scribe, on a black mug with the slogan "ERRORS ADD IN QUADRATURE. PROBLEMS DON'T."

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Quadrell, the Quadrature Scribe Mug

\[\sigma^{2} = \sum_i \left(\frac{\partial f}{\partial x_i}\right)^{2} \sigma_i^{2}\]
Normale prijs $21.99 USD
Normale prijs Aanbiedingsprijs $21.99 USD
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Independent uncertainties combine in quadrature: σ² = Σ (∂f/∂xi)² σi². Correlated ones do not.

The joke: Independent errors partially cancel; correlated grad-student problems add linearly. The slogan on the mug reads ERRORS ADD IN QUADRATURE. PROBLEMS DON'T.

Source: JCGM 100:2008 (GUM), §5.1 and §5.2, BIPM.

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingBy destination

Shipping calculated at checkout by destination.

Made to order: about 10 days of production and handling before it ships.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Independent uncertainties combine in quadrature: σ² = Σ (∂f/∂x_i)² σ_i². Correlated ones do not.

The joke: Independent errors partially cancel; correlated grad-student problems add linearly. The slogan on the mug reads ERRORS ADD IN QUADRATURE. PROBLEMS DON'T.

Source: JCGM 100:2008 (GUM), §5.1 and §5.2, BIPM.

Equations

\[\sigma^{2} = \sum_i \left(\frac{\partial f}{\partial x_i}\right)^{2} \sigma_i^{2}\]
Symbols
SymbolMeaningUnit
\(\sigma\) combined standard uncertainty of f —
\(f\) measured function —
\(x_i\) input quantity —
\(\sigma_i\) standard uncertainty of x_i —

Sources

  1. JCGM 100:2008 (GUM), §5.1 and §5.2, BIPM