consider the first summation vs let K= the first

These two phrases are not directly comparable as they serve different purposes. 'Consider the first summation' is a directive to think about or take into account the initial sum in a series of calculations. On the other hand, 'let k= the first' is a statement assigning a value to a variable. Depending on the context, one might be more appropriate than the other.

Last updated: March 15, 2024

consider the first summation

This phrase is correct and commonly used in mathematical contexts to prompt the reader or listener to focus on the initial sum in a series of calculations.

This phrase is typically used in mathematical discussions or problem-solving scenarios to draw attention to the first sum in a series of mathematical operations.

Examples:

Consider the first summation in the series before proceeding to the next step.
When analyzing the sequence, it is important to consider the first summation carefully.

Show examples from the web [+]

The first step is to re-index the powers of x as they appear in each summation so that all powers of x are the same. Let's consider the first summation on the left: ...
Oct 15, 2010 ... ... has a nice proba- bilistic interpretation which allows us to obtain a closed-form formula. To be more precise, consider the first summation. ∑.
+dV (µ2 ∗ ν1,ν2 ∗ ν1). = ∑ z∈Z. |µ1 ∗ µ2(z) − ν1 ∗ µ2(z)|. +. ∑ z∈Z. |µ2 ∗ ν1(z) − ν2 ∗ ν1(z)|. Consider the first summation. ∑ z∈Z. |µ1 ∗ µ2(z) − ν1 ∗ µ2(z)|. =.
x(n)eLj2πn(2*M/M3)/N. Now consider the first summation and rearrange the terms in pairs (separated by N'/2 terms): N3L1. Σ n=0 x(n)eLj2πn(2*M/M3)/N = (6) . =.

let K= the first

This phrase is correct when assigning a value to a variable 'k' and specifying that it equals the first element in a series or list.

This phrase is used in programming or mathematical contexts to set the value of a variable to the first element in a sequence.

Examples:

Let k = the first element of the array.
In this algorithm, we let k = the first value in the list.

Show examples from the web [+]

Let k the first agent in the order σ, namely σ(1) = k. Clearly, k is not the first agent in the order π. Without loss of generality assume that π is the natural order, π(t) ...
Jan 1, 1981 ... Let K,, the first node of the path, be the root, and let. E, = E. Suppose that K, and E , have been determined; then KR+, is defined to be Kjp', Kh'), ...

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consider the first summation vs let K= the first