Translation of "Geometrische reihe" in English

The sum can be computed using the self-similarity of the series.

So let's say that we're taking the geometric series from k is equal to 0 to infinity.

So where we left off in the last video, I'd shown you this thing called the geometric series.

The growth factor describes a geometric series and determines the increase in size of the frequency group width.

The most simple series of decreasing numbers is the so-called geometric series:

But: t2(x)=1/(1-0,2x) can be written as geometric series.

So how does a geometric series look like if we have 1/2 there?

Then you must add all these probabilities and the goal entails an infinite geometric series.

An appropriate geometric series or logarithmic series (9) (see Appendix 3) may be used.

It depends on the quantity:formula_1where formula_2 are the terms of the series, and states that the series converges absolutely if this quantity is less than one but diverges if it is greater than one.

In general::formula_5For 0.999... one can apply the convergence theorem concerning geometric series::If formula_6 then formula_7Since 0.999... is such a sum with a common ratio r = , the theorem makes short work of the question::formula_8This proof (actually, that 10 equals 9.999...) appears as early as 1770 in Leonhard Euler's "Elements of Algebra".

You can, if you know your geometric series, you can go in there and you can tweak it around so it compounds more frequently or less frequently.

And we keep taking it to increasing exponents, and we sum them up, and this is called a geometric series.

It may be not be difficult for you, but since the premise of the applied statistikkursen only intermediate algebra, most students never seen an infinite geometric series.

Each reflecting shield lamella 19 acts by means of the residually absorbed radiation fraction on its part as an emitter, wherein, at maximum, in each case, about half is given off toward the housing head (not shown) and therewith an overall weakening results in the form of a decreasing geometric series.

Received results n s the theoretical results (found using the infinite geometric series or absorbing Markov chains)?

There are many topics covered in the book including a study of circles, triangles, geometric series, ellipses, parabolas and hyperbolas .

The waiting times are graded, for instance, in a geometric series.

The concentrations are made up in a geometric series, at a concentration rado of 1,8.

Additionally, the node frequencies 115 can be flexibly adapted to real conditions based on a geometric series.

Similarly to a geometric series, the operation is repeated and leads to better exploitation of the light.

The series is named after the mathematician Carl Neumann, who used it in 1877 in the context of potential theory.

Stifel explicitly points out, that multiplication and division operations in the (lower) geometric series can be mapped by addition and subtraction in the (upper) arithmetic series.

The results of the range-finding test are used to choose at least five concentrations in a geometric series just spanning the range 0 to 100 % mortality and differing by a constant factor not exceeding 1,8.

Normally, five doses in a geometric series, with a factor not exceeding 2,2, and covering the range for LD50, are required for the test.

Normally, there should be at least five test concentrations arranged in a geometric series with a separation factor preferably not exceeding 3.2, and the appropriate number of replicates for each test concentration should be used (see Section 1.8.1.3).

Conventionally, at least five test concentrations in a geometric series with a factor preferably not exceeding 3,2 are used.

For the final definitive test, at least five concentrations arranged in a geometric series with a factor not exceeding 3,2 should be selected.